PUBLICATIONS
- H. van Haeringen, C.V.M. van der Mee, and R. van Wageningen, The
number of bound states of the Coulomb plus Yamaguchi potential, Journal of
Mathematical Physics 18, 941-943 (1977).
MR 0449335 (56, # 7640).
- C.V.M. van der Mee, Realization and linearization, Report
109, Free University, Amsterdam, 1979.
- C.V.M. van der Mee, Spectral analysis of the transport equation. I.
Nondegenerate and multigroup case, Integral Equations and Operator Theory
3, 529-573 (1980).
MR 0595751 (81m:47075). Zbl 0456.45008.
- M.A. Kaashoek, C.V.M. van der Mee, and L. Rodman, Analytic operator
functions with compact spectrum. I. Spectral nodes and linearization,
Integral Equations and Operator Theory 4, 504-547 (1981).
MR 0634171 (83b:47028). Zbl 476.47013.
- C.V.M. van der Mee, Semigroup and Factorization Methods in
Transport Theory, Amsterdam, Mathematical Centre Tract 146, 1981.
MR 0651909 (84m:82122). Zbl 0481.45008.
- C.V.M. van der Mee, Spectral analysis of the transport equation.
II. Stability and application to the Milne problem, Integral Equations and
Operator Theory 5, 573-604 (1982).
MR 0665150 (83m:45015). Zbl 0499.45009.
- C.V.M. van der Mee, Linearized BGK and neutron transport equations
on finite domains, Transport Theory and Statistical Physics 10,
75-104 (1981).
MR 0652920 (83f:82058). Zbl 0488.45006.
- M.A. Kaashoek, C.V.M. van der Mee, and L. Rodman, Analytic operator
functions with compact spectrum. II. Spectral pairs and factorization,
Integral Equations and Operator Theory 5, 791-827 (1982).
MR 0682301 (84c:47017). Zbl 0493.47015.
- M.A. Kaashoek, C.V.M. van der Mee, and L. Rodman, Analytic operator
functions with compact spectrum. III. The Hilbert space case, Journal of
Operator Theory 10, 219-250 (1983).
MR 0728908 (86j:47017). Zbl 0536.47016.
- C.V.M. van der Mee, Transport theory in Lp-spaces,
Integral Equations and Operator Theory 6, 405-443 (1983).
MR 0701028 (84g:82035). Zbl 0506.45011.
- C.V.M. van der Mee, Positivity and monotonicity properties of
transport equations with spatially dependent cross-sections, Transport
Theory and Statistical Physics 11, 199-216 (1982/83).
MR 0705275 (84m:82123). Zbl 0526.45008.
- C.V.M. van der Mee, Unitary equivalence of linear transport
models, Transport Theory and Statistical Physics 11, 245-248
(1982/83).
MR 0705277 (84m:82124).
- William Greenberg and Cor van der Mee, Abstract boundary value
problems from kinetic theory, Transport Theory and Statistical Physics
11, 155-188 (1982/83).
MR 0705273 (84i:34079). Zbl 0529.34024.
- C.V.M. van der Mee, Transport equation on a finite domain. I.
Reflection and transmission operators and diagonalization, Integral
Equations and Operator Theory 6, 572-601 (1983).
MR 0708413 (86i:82064a). Zbl 0527.45003.
- C.V.M. van der Mee, Transport equation on a finite domain. II.
Reduction to X- and Y-functions, Integral Equations and Operator Theory
6, 730-757 (1983).
MR 0716071 (86i:82064b). Zbl 0527.45004.
- W. Greenberg, C.V.M. van der Mee, and P.F. Zweifel, Generalized
kinetic equations, Integral Equations and Operator Theory 7, 60-95
(1984).
MR 0802370 (86k:82094). Zbl 0532.34043.
- C.V.M. van der Mee and C.E. Siewert, On unbounded eigenvalues in
particle transport theory, Zeitschrift für angewandte Mathematik und
Physik 34, 556-561 (1983).
MR 0718851 (84k:82102). Zbl 0538.70012.
- J.W. Hovenier and C.V.M. van der Mee, Fundamental relationships
relevant to the transfer of polarized light in a scattering atmosphere,
Astronomy and Astrophysics 128, 1-16 (1983).
MR 0726794 (85a:85003). Zbl 0538.35073
- William Greenberg and C.V.M. van der Mee, Stationary transport
processes with unbounded collision operators, Letters in Mathematical
Physics 8, 7-12 (1984).
MR 0731195 (86b:82040). Zbl 0551.47011.
- C.V.M. van der Mee, An abstract model for strong evaporation,
Rendiconti del Seminario Matematico e Fisico di Milano 53, 155-163
(1983).
MR 0858495 (87i:76045). Zbl 0609.45008.
- W. Greenberg and C.V.M. van der Mee, An abstract model for
radiative transfer in an atmosphere with reflection by the planetary
surface, SIAM Journal on Mathematical Analysis 16, 695-702 (1985).
MR 0793915 (87a:85001). Zbl 0582.45028.
- C.V.M. van der Mee, Abstract boundary value problems modeling
transport processes in semi-infinite geometry, Transport Theory and
Statistical Physics 13, 29-41 (1984).
MR 0752129 (86h:82064). Zbl 0573.47043.
- C.V.M. van der Mee, Albedo operators and H-equations for
generalized kinetic models, Transport Theory and Statistical Physics
13, 341-376 (1984).
MR 0759862 (86b:82016). Zbl 0547.45006.
- C.V.M. van der Mee, Half and finite range completeness for the
equation of transfer of polarized light, Mathematical Methods in the
Applied Sciences 6, 393-416 (1984).
MR 0761500 (86h:85002). Zbl 0546.47014.
- Wiliam Greenberg and C.V.M. van der Mee, Abstract kinetic
equations relevant to supercritical media, Journal of Functional Analysis
57, 111-142 (1984).
MR 0749520 (86g:82056). Zbl 0584.47050.
- Wiliam Greenberg and C.V.M. van der Mee, An abstract approach to
evaporation models in rarefied gas dynamics, Zeitschrift für
angewandte Mathematik und Physik 35, 156-165 (1984).
MR 0756402 (85j:76030). Zbl 0548.76059.
- Giovanni Borgioli, Giovanni Frosali, and Cor van der Mee,
A stationary criticality problem in general Lp-space for energy
dependent neutron transport in cylindrical geometry, Zeitschrift für
angewandte Mathematik und Physik 35, 166-180 (1984).
MR 0756403 (86g:82061).
- William Greenberg and C.V.M. van der Mee, Problems in the abstract
theory of stationary one dimensional transport, Transport Theory and
Statistical Physics 12, 413-420 (1984).
MR 0746605 (85j:47007).
- C.V.M. van der Mee and V. Protopopescu, Kinetic equations with
reflecting boundary conditions, SIAM Journal on Mathematical Analysis
17, 933-944 (1986).
MR 0846398 (87j:82059). Zbl 0609.45009.
- C.V.M. van der Mee, Stability of Solutions of Sturm-Liouville
diffusion equations, Transport Theory and Statistical Physics 15,
297-315 (1986).
MR 0839633 (88e:34105). Zbl 0603.34047.
- Giovanni Borgioli, Giovanni Frosali, and Cor van der Mee,
Comparison of the critical eigenvalues for integral neutron transport
equation in different geometries, Transport Theory and Statistical Physics
14, 223-252 (1985).
MR 0796659 (86m:82064). Zbl 0594.45003.
- C.V.M. van der Mee, Polarized light transfer above a reflecting
surface, Mathematical Methods in the Applied Sciences 8, 311-327
(1986).
MR 0859827 (87k:85002). Zbl 0612.45005.
- M. Klaus, C.V.M. van der Mee, and V. Protopopescu, Half range
solutions of indefinite Sturm-Liouville problems, Journal of Functional
Analysis 70, 254-288 (1987).
MR 0874057 (88e:35042). Zbl 0619.35062.
- Martin Klaus, Cor van der Mee, and Vladimir Protopopescu)
Solutions des problèmes Sturm-Liouville indéfinis dans un
demi-espace, Comptes Rendus des Séances de l'Académie des
Sciences de Paris, Série 1, Mathématique, 300,
165-168 (1985).
MR 0779702 (86j:35083). Zbl 0577.34013.
- B.L. Willis, P.F. Zweifel, and C.V.M. van der Mee, Whither
existence theory?, Transport Theory and Statistical Physics 14,
669-678 (1985).
MR 0813503 (86m:47012). Zbl 0585.34019.
- C.V.M. van der Mee and P.F. Zweifel, A Fokker-Planck equation for
growing cell populations, Journal of Mathematical Biology 25, 61-72
(1987).
MR 0886612 (88g:92033). Zbl 0644.92019.
- C.V.M. van der Mee, Reflection and transmission of polarized
light: The adding method for homogeneous atmospheres, Journal of
Mathematical Analysis and Applications 116, 574-593 (1986).
MR 0842822 (87j:82112). Zbl 0596.65096.
- William Greenberg, Cor van der Mee, and Wlodzimierz Walùs,
Strong solutions of stationary equations in abstract kinetic theory,
Integral Equations and Operator Theory 11, 186-204 (1988).
MR 0928482 (89e:42010). Zbl 0659.47044.
- J.W. Hovenier, H.C. van de Hulst, and C.V.M. van der Mee,
Conditions for the elements of the scattering matrix, Astronomy and
Astrophysics 157, 301-310 (1986).
MR 0875719 (87m:85004).
- G. Frosali, C.V.M. van der Mee, and V. Protopopescu, Transport
equations with boundary conditions of reverse reflection type, Mathematical
Methods in the Applied Sciences 10, 15-36 (1988).
MR 09299219 (89b:82128). Zbl 0647.45009.
- C.V.M. van der Mee, Polarized light transfer: Existence and
uniqueness of solutions and spectral properties of transfer operators,
Transport Theory and Statistical Physics 15, 897-916 (1986).
MR 0880897 (88a:85006). Zbl 0627.45017.
- C.V.M. van der Mee, Integral formulations of stationary transport
equations in plane-parallel media, Transport Theory and Statistical Physics
16, 529-560 (1987).
MR 0906917 (88i:82078). Zbl 0629.45012.
- B.L. Willis and C.V.M. van der Mee, Multigroup transport
equations with nondiagonal cross-section matrices, Journal of Mathematical
Physics 27, 1633-1638 (1986).
MR 0843739 (87j:82112). Zbl 0603.45017.
- R.E. Caflisch and C.V.M. van der Mee, Mathematical methods for the
equations of kinetics of gases; Paris, June 3-7, 1985, Transport Theory and
Statistical Physics 15, 353-367 (1986).
- Alexander H. Ganchev, Wiliam Greenberg, and C.V.M. van der Mee,
Abstract kinetic equations with accretive collision operators, Integral
Equations and Operator Theory 11, 332-350 (1988).
MR 0938848 (90a:47029). Zbl 0678.47039.
- Alexander H. Ganchev, Wiliam Greenberg, and C.V.M. van der Mee,
A class of linear kinetic equations in a Krein space setting, Integral
Equations and Operator Theory 11, 518-535 (1988).
MR 0950515 (90a:47030). Zbl 0656.47028.
- W. Greenberg, C. van der Mee, and V. Protopopescu, Boundary Value
Problems in Abstract Kinetic Theory, Basel, Birkhäuser Verlag,
Operator Theory: Advances and Applications 23, 1987.
MR 0886612 (88k:82156). Zbl 0624.35003.
- A.H. Ganchev, W. Greenberg, and C.V.M. van der Mee, Perturbation
analysis of analytic bisemigroups and applications to linear transport
theory. In: H. Helson, C.M. Pearcy, F.-H. Vasilescu, and D. Voiculescu
(eds.), Special Classes of Linear Operators and Other Topics,
Birkhäuser OT 28, 1988, pp. 83-99.
MR 0942915 (89d:47089). Zbl 0644.47042.
- C.V.M. van der Mee, Representations of internal field solutions
for generalized kinetic models, Journal of Mathematical Analysis and
Applications 137, 417-437 (1989).
MR 0984968 (90c:82028). Zbl 0682.46053.
- A.H. Ganchev, W. Greenberg, and C.V.M. van der Mee, Perturbation
of bisemigroups and boundary value problems for abstract kinetic
equations. In: V. Boffi and C. Cercignani (eds.), Proceedings of the
15-th International Symposium on Rarefied Gas Dynamics, Grado, June 16-20,
1986, Vol. I, Stuttgart, Teubner, 1986, pp. 125-134.
MR 0901953 (89f:47063). Zbl 0633.76075.
- J.W. Hovenier and Cornelis V.M. Van der Mee, Relations for the
elements of matrices appearing in polarized light transfer, Transport
Theory and Statistical Physics 17, 209-224 (1988).
Zbl 0659.65046.
- C.V.M. van der Mee, Kinetic equations with collision operators of
spectral radius less than one, Transport Theory and Statistical Physics
17, 107-114 (1988).
MR 0950626 (89h:47016). Zbl 0649.45007.
- C.V.M. van der Mee, Trace theorems and kinetic equations for non
divergence free external forces, Applicable Analysis 41, 89-110
(1991).
MR 1103849 (92i:82096). Zbl 0850.70159.
- J.W. Hovenier and C.V.M. van der Mee, Scattering of polarized
light: Properties of the elements of the phase matrix, Astronomy and
Astrophysics 196, 287-295 (1988).
MR 0944114 (89d:85006).
- C.V.M. van der Mee, Well-posedness of stationary and
time-dependent Spencer-Lewis equations modeling electron slowing down,
Journal of Mathematical Physics 30, 158-165 (1989).
MR 0974466 (90g:82096). Zbl 0692.35131.
- Giovanni Frosali, Cornelis V.M. van der Mee, and Stefano L.
Paveri-Fontana, Conditions for runaway phenomena in the kinetic theory of
particle swarms, Journal of Mathematical Physics 30, 1177-1186
(1989).
MR 0992596 (90e:82049). Zbl 0674.45008.
- C.V.M. van der Mee and P.F. Zweifel, Application of orthogonality
relations to singular integral equations, Journal of Integral Equations and
Applications 2, 185-203 (1990).
MR 1045767 (91d:45005). Zbl 0706.45001.
- H. Frisch, C.V.M. van der Mee, and P.F. Zweifel, Distributional
solutions of singular integral equations, Journal of Integral Equations and
Applications 2, 205-210 (1990); 3, 467 (1991).
MR 1045768 (91d:45006) (article); MR 1142964 (errata).
Zbl 0713.45002 (article); Zbl 0753.45002 (errata).
- C.V.M. van der Mee, Stationary solutions of the nonlinear
Boltzmann equation in a bounded spatial domain, Mathematical Methods in
the Applied Sciences 11, 471-481 (1989).
MR 1001098 (90k:82049). Zbl 0679.45011.
- J.W. Hovenier, C.V.M. van der Mee, and D. de Heer, Differential
properties of H-functions with applications to optically thick planetary
atmospheres and spherical clouds, Astronomy and Astrophysics 207,
195-204 (1988).
- Giovanni Frosali and Cornelis V.M. van der Mee, Scattering theory
in the linear transport theory of particle swarms, Journal of Statistical
Physics 56, 139-148 (1989).
MR 1003549 (91b:82051).
- Stefano L. Paveri-Fontana, C.V.M. van der Mee, and P.F. Zweifel,
A neutral gas model for electron swarms, Journal of Statistical Physics
57, 247-265 (1989).
MR 1031411 (91c:82064).
- C.V.M. van der Mee, A transport equation modelling cell
growth. In: P. Tautu (Ed.), Stochastic Modelling in Biology. Relevant
Mathematical Concepts and Recent Applications, World Scientific,
Singapore, 1990, pp. 381-398.
MR 1090850 (92f:92015).
- Tuncay Aktosun and Cornelis van der Mee, Existence of the Jost
operator and solution of the 3-D inverse scattering problem by Wiener-Hopf
factorization, Physical Review Letters 63, 697-699 (1989).
MR 1009538 (90h:81196).
- Tuncay Aktosun and Cornelis van der Mee, Inverse scattering
problem for the 3-D Schrödinger equation and Wiener-Hopf factorization of
the scattering operator, Journal of Mathematical Physics 31,
2172-2180 (1990).
MR 1067836 (92c:35120). Zbl 0724.47043.
- C.V.M. van der Mee and J.W. Hovenier, Expansion coefficients in
polarized light transfer, Astronomy and Astrophysics 228, 559-568
(1990).
MR 1040132 (90m:85003).
- Tuncay Aktosun and Cornelis van der Mee, Construction of the
potential of the 3-D Schrödinger equation from the scattering operator by
using a Fredholm integral equation, Physical Review Letters 63,
2541-2543 (1989).
MR 1025449 (90k:81258).
- Tuncay Aktosun and Cornelis van der Mee, Solution of the inverse
scattering problem for the 3-D Schrödinger equation using a Fredholm
integral equation, SIAM Journal on Mathematical Analysis 22, 717-731
(1991).
MR 1091677 (92a:81217). Zbl 0737.35049.
- P.F. Zweifel and C.V.M. van der Mee, Singular integral equations
on closed contours, Rendiconti del Seminario Matematico e Fisico di Milano
58, 195-206 (1988).
MR 1069731 (91j:45007). Zbl 0716.45002.
- Tuncay Aktosun and Cornelis van der Mee, Wiener-Hopf
factorization in the inverse scattering theory for the n-D Schrödinger
equation. In:
H. Bart, I. Gohberg and M.A. Kaashoek, Topics in Matrix and Operator
Theory, Birkhäuser OT 50, Basel and Boston, 1991, pp. 1-21.
MR 1115022 (92f:35050). Zbl 0739.35056.
- T. Aktosun and C. van der Mee, Multidimensional inverse quantum
scattering problem and Wiener-Hopf factorization. In: P.C. Sabatier,
Inverse Methods in Action, Springer, Berlin, 1990, pp. 239-245.
MR 1107970 (not to be reviewed individually). See MR 92a:00040 for the
collection.
- Tuncay Aktosun and Cornelis van der Mee, Scattering for
1-D Schrödinger equation with energy-dependent potentials and the
recovery of the potential from the reflection coefficient, Physical
Review Letters 65, 1289-1293 (1990).
MR 1069087 (92b:81211). Zbl pre01477099.
- Tuncay Aktosun and Cornelis van der Mee,
Scattering and inverse scattering for the 1-D Schrödinger equation
with energy-dependent potentials, Journal of Mathematical Physics
32, 2786-2801 (1991).
MR 1130552 (93b:34107). Zbl 0758.35055.
- G. Toscani and C.V.M. van der Mee, An abstract approach to
nonlinear Boltzmann-type equations, Annali dell'Università di
Ferrara, Nuova Serie, Sezione VII, Scienze Matematiche 34, 75-100
(1988).
MR 1015553 (91e:35203). Zbl 0704.76035.
- Tuncay Aktosun and Cornelis van der Mee, Wiener-Hopf
factorization in multidimensional inverse Schrödinger scattering. In:
D.H. Sattinger, C.A. Tracy and S. Venakides (eds.), Inverse Scattering and
Applications, Contemporary Mathematics 122, American Mathematical
Society, Providence, 1991, pp. 1-11.
MR 1135851(92g:35163). Zbl 0742.35044.
- Giovanni Frosali and Cornelis van der Mee, Mathematical study of
the runaway process in particle swarms, Atti della Accademia Peloritana
dei Pericolanti, Classe I di Scienze Fische Matematiche e Naturali,
68, (1), 623-649 (1990).
MR 1158928 (93b:82053). Zbl 0759.45006.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee,
Inverse scattering in 1-D nonhomogeneous media and recovery of the
wavespeed, Journal of Mathematical Physics 33, 1395-1402
(1992).
MR 1154018 (92m:81300). Zbl 0756.34083.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee,
Scattering and inverse scattering in one-dimensional nonhomogeneous
media, Journal of Mathematical Physics 33, 1717-1744 (1992).
MR 1158993 (93g:81200). Zbl 0760.35032.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee, Explicit
Wiener-Hopf factorization for certain non-rational matrix functions,
Integral Equations and Operator Theory 15, 879-900 (1992).
MR 1188785 (93j:47030). Zbl 0790.47012.
- C.V.M. van der Mee and J.W. Hovenier,
Structure of matrices transforming Stokes parameters, Journal of
Mathematical Physics 33, 3574-3584 (1992).
MR 1182931 (93f:78002). Zbl 0772.15017.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee,
On the Riemann-Hilbert problem for the one-dimensional Schrödinger
equation, Journal of Mathematical Physics 34, 2651-2690 (1993).
MR 1224170 (95f:34130). Zbl 0777.34056.
- C.V.M. van der Mee,
An eigenvalue criterion for matrices transforming Stokes
parameters, Journal of Mathematical Physics 34, 5072-5088
(1993).
MR 1243127 (94h:78003). Zbl 0786.15035.
- J.W. Hovenier and C.V.M. van der Mee, Simple characteristics of
scattering matrices. In: M. Maeda, S. Nakae and M. Ikegami (eds.), Proc.
3rd International Congress on Optical Particle Sizing,
Yokohama, August 23-26, 1993; pp. 179-182.
- Tuncay Aktosun and Cornelis van der Mee, Inverse scattering in
one dimension for a generalized Schrödinger equation. In: H.V. Von
Geramb (Ed.), Quantum Inversion Theory and Applications, Springer,
Berlin and New York, Lecture Notes in Physics 427, 1993, pp. 37-49.
MR 1267769 (95b:81221). Zbl 0797.34084.
- Giovanni Frosali and Cornelis van der Mee, Asymptotic behaviour
of drift velocity with spatial diffusion of electrons, Proceedings 13-th
Internat. Conf. on Transport Theory, Riccione, May 10-14, 1993, Transport
Theory and Statistical Physics 24, 241-262 (1995).
MR 1316921 (96c:82053). Zbl 0820.45006.
- Tuncay Aktosun and Cornelis van der Mee,
Nonuniqueness in inverse acoustic scattering on the line, Journal
of Mathematical Physics 35, 693-709 (1994).
MR 1257541 (94m:34031). Zbl 0806.34014.
- J.W. Hovenier and C. van der Mee, Conditions for matrices
relevant to polarized light transfer. In: B. Arbesser-Rastburg (Ed.),
PIERS 1994, Proceedings of the 1994 Progress in Electromagnetics Research
Symposium, European Space Agency, Noordwijk, The Netherlands, July 11-15,
1994, pp. 1395-1398. Published on CD.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee, Inverse
scattering problem for the wave equation with discontinuous wavespeed. In:
D. Bainov and V. Covachev (eds.), Proceedings of the Fifth International
Colloquium on Differential Equations, Plovdiv, August 18-23, 1994; VSP
Scientific Publishers, Utrecht, 1995, pp. 3-22.
MR 1458342 (98d:34115). Zbl 0843.34079.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee, On the
recovery of a discontinuous wavespeed in wave scattering in a nonhomogeneous
medium. In: D. Ivanchev and D. Mishev (eds.), Proceedings of the 20th
Summer School ``Applications of Mathematics in Engineering," Varna, Bulgaria,
August 26 to September 2, 1994; Inst. Appl. Math. and Informatics, Techn.
Univ. Sofia, 1995, pp. 9-27.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee,
Inverse wave scattering with discontinuous wavespeed, Journal of
Mathematical Physics 36, 2880-2928 (1995).
MR 1331294 (96k:34181). Zbl 0843.34080.
- N.R. Nandakumar and Cornelis V. Vandermee, Locally compact
semi-algebras generated by a commuting operator family, Internatonal
Journal of Mathematics & Mathematical Sciences 17(4), 717-724
(1994).
MR 1298796 (95i:47081). Zbl 0805.47037.
- Yuri Bolshakov, Cornelis V.M. van der Mee, André C.M. Ran,
Boris Reichstein, and Leiba Rodman, Polar decompositions in finite
dimensional indefinite scalar product spaces: General theory, Linear
Algebra and its Applications 261, 91-141 (1997).
MR 1448865 (98e:15019). Zbl 0881.15013.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee, Recovery
of discontinuities in a nonhomogeneous medium, Inverse Problems 12,
1-25 (1996). Also:
IMA Preprint
Series 1310, 1995.
MR 1377128 (96m:34019). Zbl 0848.34070.
- Yuri Bolshakov, Cornelis V.M. van der Mee, André C.M. Ran,
Boris Reichstein, and Leiba Rodman,
Polar decompositions in finite dimensional indefinite scalar product
spaces:
Special cases and applications. In I. Gohberg, P. Lancaster, and P.N.
Shivakumar (Ed.), Birkhäuser OT 87, Basel etc., 1996, pp. 61-94.
Errata: Integral Equations and Operator Theory 27, 497-501 (1997).
MR 1399356 (97e:47053) (article); MR 1442133 (errata). Zbl 0861.15012
(article), Zbl 0897.15005 (errata).
- J.W. Hovenier and C.V.M. van der Mee, Bounds for the degree of
polarization, Optics Letters 20, 2454-2456 (1995).
- J.W. Hovenier and C.V.M. van der Mee, Testing scattering
matrices: A compendium of recipes, Journal of Quantitative Spectroscopy
and Radiative Transfer 55, 649-661 (1996).
- Yuri Bolshakov, Cornelis V.M. van der Mee, André C.M. Ran,
Boris Reichstein, and Leiba Rodman,
Extension of
isometries in finite dimensional indefinite scalar product spaces and polar
decompositions, SIAM Journal on Matrix Analysis and Applications
18, 752-774 (1997).
MR 1453549 (98g:15019). Zbl 0874.15022.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee,
Integral equation methods for the inverse problem with discontinuous
wavespeed, Journal of Mathematical Physics 37, 3218-3245
(1996). Also:
IMA
Preprint Series 1380, 1996.
MR 1401224 (97f:81169). Zbl 0897.34018.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee,
Factorization of scattering matrices due to partitioning of potentials in
one-dimensional Schrödinger equations, Journal of Mathematical
Physics 37, 5897-5915 (1996). Also:
IMA Preprint
Series 1406, 1996. For a very early version, see:
IMA
Preprint Series 1331, 1995.
MR 1419143 (97j:34111). Zbl 0910.34069.
- M.A. Kaashoek, C.V.M. van der Mee, and A.C.M. Ran, Weighting
operator patterns of Pritchard-Salamon realizations, Integral Equations
and Operator Theory 27, 48-70 (1997). Errata: Integral Equations and
Operator Theory 52, 451-453 (2005).
MR 1426018 (97k:93012) (article). Zbl 0891.93021 (article).
- J.W. Hovenier and C.V.M. van der Mee, Basic properties of
matrices describing scattering of polarized light in atmospheres and
oceans, In: W.L. Smith and K. Stamnes (eds.), Proceedings ``IRS 96:
Current Problems in Atmospheric Radiation," Deepak Publ., 1997, pp.
797-800.
- Tuncay Aktosun, Martin Klaus, and Cornelius Van der mee, The
one-dimensional inverse scattering problem for nonhomogeneous media with
discontinuous wavespeed. In: D. Hinton and Ph.W. Schaefer (eds.),
Spectral Theory and Computational Methods of Sturm-Liouville Problems,
Proceedings of the Conference on Sturm-Liouville Problems held in conjunction
with the 26th Barrett Memorial Lecture Series at the University of Tennessee,
Knoxville, TN, 1996. Lecture Notes in Mathematics 191, Marcel Dekker,
New York, 1997, pp. 105-133.
MR 1460548 (98h:34142). Zbl 0883.34077.
- C. van der Mee, G. Rodriguez, and S. Seatzu,
LDU-factorization results for bi-infinite and
semi-infinite scalar and block Toeplitz matrices, Calcolo 33,
307-335 (1996). See also the
alternative site.
MR 1627619 (99f:65045). Zbl 0904.65035.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee,
Wave scattering in one dimension with absorption, Journal of
Mathematical Physics 39, 1957-1992 (1998). Also:
IMA Preprint
Series 1460, 1997.
MR 1614734 (99b:34137). Zbl 1001.34074.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee,
Wave scattering in 1-D nonconservative media.
In: A.G. Ramm (Ed.), Spectral and Scattering Theory, Selected papers
from the Special Session, held as part of the 1st International Congress of
the International Society for Analysis, Applications and Computing (ISAAC),
at the University of Delaware, Newark, DE, June 3-7, 1997. Plenum Press, New
York, 1998, pp. 1-18.
MR 1625267 (99d:34163). Zbl 0903.34073.
- Cornelis V.M. van der Mee, André C.M. Ran, and Leiba Rodman,
Classes of plus matrices in finite dimensional indefinite scalar product
spaces, Integral Equations and Operator Theory 30, 432-451 (1998).
MR 1622359 (2000g:15025). Zbl 0911.47030.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee, Inverse
scattering in one-dimensional nonconservative media, Integral Equations
and Operator Theory 30, 279-316 (1998). Also:
IMA Preprint
Series 1481, 1997.
MR 1608677 (99b:34136). Zbl 0916.34070.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee,
On the number of bound states for the 1-D Schrödinger
equation, Journal of Mathematical Physics 39, 4249-4256
(1998). Also:
IMA Preprint
Series 1509, 1997.
MR 1643229 (99j:81026). Zbl 0931.34069.
- M.A. Kaashoek, C.V.M. van der Mee, and A.C.M. Ran, Wiener-Hopf
factorization of transfer functions of extended Pritchard-Salamon
realizations, Math. Nachrichten 196, 71-102 (1998). Also: Dept. of
Mathematics, Free University of Amsterdam, Report WS-494.
MR 1657994 (99k:47030). Zbl 0932.47016.
- C.V.M. van der Mee, G. Rodriguez, and S. Seatzu,
Block Cholesky
factorization of infinite matrices and orthonormalization of vectors of
functions, Proceedings of the Guangzhou International Symposium on
Computational Mathematics, August 11-15, 1997. In: Zhongying Chen, Yuesheng
Li, Charles A. Micchelli, and Yuesheng Xu (eds.), Advances in Computational
Mathematics, Proceedings of the International Symposium on Computational
Mathematics held at Zhongshan University, Guangzhou, 1997. Lecture Notes in
Pure and Applied Mathematics 202, Marcel Dekker, New York, 1998; pp.
423-455.
MR 1661549 (99m:65079). Zbl 0931.65028.
- Cornelis V.M. van der Mee, André C.M. Ran, and Leiba Rodman,
Stability of polar decompositions, Glasnik Matematicki, Series III,
35(55), 137-148 (2000).
MR 1783236 (2001i:15014). Zbl 0963.15012.
- Cornelis V.M. van der Mee, André C.M. Ran, L. Rodman,
Stability of selfadjoint square roots and polar decompositions in
indefinite scalar product spaces, Linear Algebra and its Applications
302/303, 77-104 (1999).
MR 1733525 (2000j:15026). Zbl 0954.15008.
- Joop W. Hovenier and Cornelis V.M. van der Mee, Basic
relationships for matrices describing scattering by small particles. In:
M.I. Mishchenko, J.W. Hovenier, and L.D. Travis (eds.), Light Scattering by
Nonspherical Particles: Theory, Measurements, and Applications,
Addison-Wesley, New York, 1999, Chapter 3, pp. 61-85.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee, Direct
and inverse scattering for selfadjoint Hamiltonian systems on the line,
Integral Equations and Operator Theory 38, 129-178 (2000). Also:
IMA preprint
series 1598, 1999.
MR 1791049 (2002e:34141). Zbl 0970.34072.
- Cornelis van der Mee, Exact solution of the Marchenko equation
relevant to inverse scattering on the line. In: V.M. Adamyan, I. Gohberg,
M. Gorbachuk, and V. Gorbachuk (eds.), Differential Operators and Related
Topics, Proceedings of the Mark Krein International Conference on Operator
Theory and Applications, Odessa, Ukraine, August 18-22, 1997, Birkhäuser
OT 117, 2000, pp. 239-259.
MR 1764963 (2001d:34140). Zbl 0956.34074.
- Cornelis V.M. van der Mee, Sebastiano Seatzu, and Giuseppe
Rodriguez, Solution methods for semi-infinite linear systems of block
Toeplitz type and their perturbations. In: D.A. Bini, E. Tyrtyshnikov and
P. Yalamov (eds.), Structured Matrices: Recent Developments in Theory and
Computations, Advances in Computation: Theory and Practice, Vol. 4,
Nova Science Publ., 2001, pp. 91-107. Extended abstract version: Solution
methods for perturbed semi-infinite linear systems of block-Toeplitz type.
In: M. Griebel, O.P. Iliev, S. Margenov, P. Yalamov, and S. Vassilevski
(eds.), Proceedings of the Second Workshop on Large-Scale Scientific
Computations of Engineering and Environmental Problems, in Sozopol,
Bulgaria, June 1-6, 1999, Notes in Numerical Fluid Mechanics 73,
Vieweg, Braunschweig, 2000, pp. 87-93.
MR 1772879 (Sozopol). Zbl 0967.65040 (Sozopol).
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee,
Small-energy asymptotics of the scattering matrix for the matrix
Schrödinger equation on the line, Journal of Mathematical Physics
42, 4627-4652 (2001). Also: On the direct and inverse scattering of
the matrix Schrödinger equation on the line,
IMA preprint
series 1621, 1999.
MR 1855088 (2002j:81269). Zbl 1017.81046.
- Cornelis V.M. van der Mee, André C.M. Ran, L. Rodman,
Real Hamiltonian
polar decompositions, SIAM Journal on Matrix Analysis and Applications
22, 1263-1273 (2001).
MR 1824069 (2002a:15014). Zbl 0982.15012.
- Tuncay Aktosun, Martin Klaus, and Cornelis van der Mee, Integral
equations in inverse scattering. In: Jian Ke Lu and Guo Chun Wen (eds.),
Boundary Value Problems, Integral Equations and Related Problems, World
Scientific, Singapore, 2000, pp. 13-22.
MR 2002a:81331. Zbl 0980.45004.
- Cornelis V.M. van der Mee, André C.M. Ran, L. Rodman,
Stability of
stationary transport equations with accretive collision operators,
Journal of Functional Analysis 174(2), 478-512 (2000).
MR 1768983 (2001g:82091). Zbl 0967.47033.
- Cornelis V.M. van der Mee, Giuseppe Rodriguez, and Sebastiano
Seatzu, Spectral factorization of bi-infinite block Toeplitz matrices with
applications. In: Donato Trigiante (Ed.), Recent Trends in Numerical
Analysis, Advances in the Theory of Computational Mathematics 3,
Nova Science Publ., New York, 2000, pp. 223-248.
MR 2029973. Zbl 1018.65056.
- Cornelis V.M. van der Mee, M.Z. Nashed, and Sebastiano Seatzu,
Sampling expansions in unitarily translation invariant reproducing kernel
Hilbert spaces, Advances in Computational Mathematics 19(4),
355-372 (2003).
MR 1989621 (2004d:42037). Zbl 1027.65187.
- C.J. Braak, J.F. de Haan, C.V.M. van der Mee, J.W. Hovenier,
and L.D. Travis, Parameterized scattering matrices for analyzing
photopolarimetric data of small particles, Journal of Quantitative
Spectroscopy and Radiative Transfer 69(5), 585-604 (2001).
- C.J. Braak, J.F. de Haan, C.V.M. van der Mee, J.W. Hovenier,
and L.D. Travis, Parametrized scattering matrices for nonspherical
particles in planetary atmospheres. In: G. Videen, Qiang Fu, and
P. Chylek (eds.), Light Scattering by Nonspherical Particles: Halifax
Contributions, Fifth International Conference on Light Scattering by
Nonspherical Particles, Halifax, 2000), Army Research Laboratory, Adelphi,
MD 20783, 2000, pp. 262-265.
- Cornelis van der Mee and Vjacheslav Pivovarchik,
Inverse scattering for a Schrödinger equation with energy dependent
potential, Journal of Mathematical Physics 42(1), 1-24 (2001).
MR 1808771 (2001m:81321). Zbl 1013.81057.
- Ivar Stakgold, Cornelis van der Mee, and Stella Vernier-Piro,
Traveling waves for gas-solid reactions in a porous medium, Dynamic
Systems and Applications 10(4), 589-598 (2001).
MR 1870491 (2002j:76133). Zbl pre01808238.
- Cornelis van der Mee, Time-dependent kinetic equations with
collision terms relatively bounded with respect to the collision
frequency, Transport Theory and Statistical Physics 30(1), 63-90
(2001).
MR 1845636 (2003b:82051). Zbl 0990.82020.
- Cornelis V.M. van der Mee, Sebastiano Seatzu, and Giuseppe
Rodriguez, Spectral factorization of bi-infinite multi-index block Toeplitz
matrices, Linear Algebra and its Applications 343-344, 355-380
(2002).
MR 1878950 (2002j:15011). Zbl 1010.65012.
- Stella Vernier-Piro and Cornelis van der Mee, Dead cores for
time-dependent reaction-diffusion equations, Nonlinear Analysis
47(3), 2113-2123 (2001).
MR 1977087 (2004c:35229). Zbl 1042.35577.
- Cornelis V.M. van der Mee, André C.M. Ran, and Leiba Rodman,
Polar decompositions and related classes of operators in
spaces Pik, Integral Equations and Operator Theory
44(1), 50-70 (2002).
MR 1913423 (2003e:47070). Zbl 1045.47034.
- Torsten Ehrhardt and Cornelis V.M. van der Mee, Canonical
Factorization of Continuous Functions on the d-Torus, Proceedings of the
American Mathematical Society 131(3), 801-813 (2002).
MR 1937418 (2003j:46072). Zbl 1020.46010.
- Vjacheslav Pivovarchik and Cornelis van der Mee, The Inverse
Generalized Regge Problem, Inverse Problems 17, 1831-1845 (2001).
MR 1872924 (2002j:34146). Zbl 1034.34012.
- Alessandro Giua, Carla Seatzu, and Cornelis Van der Mee, Optimal
Control of Autonomous Linear Systems with a Pre-assigned Finite Sequence.
In: Proceedings of the 2001 IEEE International Symposium on Intelligent
Control (ISIC), September 5-7, 2001, Mexico City; pp. 144-149. Published on
CD.
- Alessandro Giua, Carla Seatzu, and Cornelis Van der Mee, Optimal
Control of Switched Autonomous Linear Systems. In: 40th IEEE
Conference on Decision and Control, December 3-7, 2001, Orlando.
- Stella Vernier-Piro and Cornelis van der Mee, Dead cores for
parabolic reaction-diffusion problems, Dynamics of Continuous, Discrete
and Impulsive Systems, Series A: Mathematical Analysis, 10(1-3),
139-147 (2003).
MR 1974238 (2004c:35169). Zbl 1039.35012.
- Cornelis V.M. van der Mee, Sebastiano Seatzu, and Giuseppe
Rodriguez, Semi-infinite Multi-index Perturbed Block Toeplitz Systems,
Linear Algebra and its Applications 366, 459-482 (2003).
MR 1987735 (2004b:47054). Zbl 1021.65012.
- J.W. Hovenier and C.V.M. van der Mee, Stokes parameters. In:
M. Hazewinkel (managing editor), Supplement III, Encyclopaedia of Mathematics,
Kluwer Academic Publishers, 2002; pp. 385-386.
- C. van der Mee and V. Pivovarchik, Some properties of the
eigenvalues of a Schrödinger equation with energy-dependent
potential. In: R. Weder, P. Exner, and B. Grébert (eds.),
Mathematical Results in Quantum Mechanics, Amer. Math. Soc.,
Contemporary Mathematics 307, Providence, RI, 2002, pp. 305-310.
MR 1946043 (2003m:34207). Zbl pre01984615.
- Giovanni Frosali, Cornelis V.M. van der Mee, and Francesco Mugelli,
Conditions for runaway phenomena in kinetic theory revisited. In:
Proceedings of the 6-th SIMAI Congress, Chia Laguna, May 27-31, 2002,
published on CD.
- Cornelis Van der Mee, LU-factorization of block Toeplitz
matrices. In: Proceedings of the 6-th SIMAI Congress, Chia Laguna, May
27-31, 2002, published on CD.
- C. van der Mee and S. Vernier-Piro, Travelling waves for
solid-gas reaction-diffusion systems, Dynamics of Continuous, Discrete and
Impulsive Systems, Proc. Fourth International Conf. on Dynamical Systems and
Differential Equations, Discrete and Continuous Dynamical Systems, Wilmington
NC, May 24-27, 2002; Discrete and Continuous Dynamical Systems supp.,
872-879 (2003).
MR 2018196. Zbl pre02046263.
- C. van der Mee and V.N. Pivovarchik, A Sturm-Liouville Inverse
Spectral Problem with Boundary Conditions Depending on the Spectral
Parameter, Funktsionalnyi Analiz e ego Prilozheniya 36(4), 74-77
(2002) (in Russian); Functional Analysis and its Applications 36(4),
315-317 (2002) (in English).
MR 1958998 (2003j:34017). Zbl 1034.34013.
- Cornelis van der Mee: Direct and Inverse Scattering for
Skewselfadjoint Hamiltonian Systems. In: J.A. Ball, J.W. Helton, M. Klaus,
and L. Rodman (eds.), Current Trends in Operator Theory and its
Applications, Birkhäuser OT 149, Basel and Boston, 2004, pp.
407-439.
MR 2063761.
- Giovanni Frosali, Cornelis V.M. van der Mee, and Francesco Mugelli,
A Characterization Theorem for the Evolution Semigroup generated by the Sum
of two Unbounded Operators, Mathematical Methods in the Applied Sciences
27, 669-685 (2004).
MR 2070221. Zbl pre02093615.
- André C.M. Ran and Cornelis van der Mee, Perturbation
Results for Exponentially Dichotomous Operators on general Banach Spaces,
Journal of Functional Analysis 210(1), 193-213 (2004).
MR 2052119. Zbl pre02091744.
- Cornelis V.M. van der Mee, Leiba Rodman, Ilya M. Spitkovsky, and
Hugo J. Woerdeman: Factorization of Block Triangular Matrix Functions in
Wiener Algebras on Ordered Abelian Groups. In: J.A. Ball, J.W. Helton, M.
Klaus, and L. Rodman (eds.), Current Trends in Operator Theory and its
Applications, Birkhäuser OT 149, Basel and Boston, 2004, pp.
441-465.
MR 2063762.
- Cornelis van der Mee, Stationary kinetic equations with
collision terms relatively bounded with respect to the collision
frequency. In: Roberto Monaco, Sebastiano Pennisi, Salvatore Rionero,
and Tommaso Ruggeri (eds.), Proceedings "WASCOM 2003," 12th
Conference on Waves and Stability in Continuous Media, World Scientific,
Singapore, 2004, pp. 555-563.
MR 2089889.
- C.V.M. van der Mee and S. Seatzu, A method for generating
infinite positive self-adjoint test matrices and Riesz bases, SIAM Journal
on Matrix Analysis and Applications 26(4), 1132-1149 (2005).
- Pavel Bubák, Cornelis V.M. van der Mee, and
André C.M. Ran, Approximation of solutions of Riccati equations,
SIAM Journal on Control and Optimization 44(4), 1419-1435 (2005).
- Cornelis V.M. van der Mee, Leiba Rodman, and Ilya M. Spitkovsky,
Factorization of block triangular matrix functions with off-diagonal
binomials. In: M.A. Kaashoek, C. van der Mee, and S. Seatzu (eds.),
(eds.), Recent Advances in Operator Theory and its Applications,
Birkhäuser, Basel and Boston, OT 160, 2005; pp. 425-439.
ISBN: 3-7643-7290-7.
- Cornelis V.M. van der Mee and A.C.M. Ran, Additive and
multiplicative perturbations of exponentially dichotomous operators on general
Banach spaces. In: M.A. Kaashoek, C. van der Mee, and S. Seatzu (eds.),
(eds.), Recent Advances in Operator Theory and its Applications,
Birkhäuser, Basel and Boston, OT 160, 2005; pp. 413-424.
ISBN: 3-7643-7290-7.
- Cornelis van der Mee and André C.M. Ran, Perturbation
results for exponentially dichotomous operators on general Banach spaces,
II. In: M.A. Kaashoek, C. van der Mee, and S. Seatzu (eds.), Recent
Advances in Operator Theory and its Applications, Birkhäuser, Basel
and Boston, OT 160, 2005; pp. 413-424.
ISBN: 3-7643-7290-7.
- Cornelis van der Mee and Vjacheslav Pivovarchik, The
Sturm-Liouville inverse spectral problem with boundary conditions depending on
the spectral parameter, Opuscula Mathematica 23(2), 83-99 (2005).
- Joop W. Hovenier, Cornelis van der Mee, and Helmut Domke,
Transfer of Polarized Light in Planetary Atmospheres. Basic Concepts and
Practical Methods, Astrophysics and Space Science Library 318,
Kluwer Acad. Publ., Dordrecht, 2004. ISBN 1-4020-2855-5 (HB), 1-4020-2856-3
(e-book)
- C.V.M. van der Mee, G. Rodriguez, and S. Seatzu, Fast
computation of two-level circulant preconditioners, Numerical Algorithms
41(3), 275-295 (2006).
doi: 10.1007/s11075-005-9011-5
- Cornelis van der Mee, Sebastiano Seatzu, and Daniela Theis,
Structured matrix algorithms for inverse scattering on the line,
Calcolo 44, 59-87 (2007).
doi: 10.1007/s10092-007-0129-9
- Cornelis van der Mee, Giuseppe Rodriguez, and Sebastiano Seatzu,
Fast superoptimal preconditioning of multiindex Toeplitz matrices,
Linear Algebra and its Applications 418, 576-590 (2006).
doi: 10.1016/j.laa.2006.02.034
- Marinus A. Kaashoek, Cornelis van der Mee, and Sebastiano Seatzu
(eds.), Recent Advances in Operator Theory and its Applications,
Birkhäuser, Basel and Boston, OT 160, 2005.
ISBN: 3-7643-7290-7.
- Torsten Ehrhardt, Cornelis van der Mee, Leiba Rodman, and Ilya
M. Spitkovsky, Factorization in weighted Wiener matrix algebras on linearly
ordered abelian groups, Integral Equations and Operator Theory 58,
65-86 (2007).
doi: 10.1007/s00020-007-1491-3.
- Tuncay Aktosun and Cornelis van der Mee, Explicit solutions to
the Korteweg-De Vries equation on the half line, Inverse Problems
22, 2165-2174 (2006).
doi: 10.1088/0266-5611/22/6/015
- Tuncay Aktosun, Francesco Demontis, and Cornelis van der Mee,
Exact solutions to the focusing nonlinear Schrödinger equation,
Inverse Problems 23, 2171-2195 (2007). Also:
IMA Preprint
Series 2157, 2007.
doi: 10.1088/0266-5611/23/5/021
- Francesco Demontis and Cornelis van der Mee, Marchenko equations
and norming constants of the matrix Zakharov-Shabat system, Operators and
Matrices 2, 79-113 (2008).
- Cornelis van der Mee, Nonautonomous exponential dichotomy,
Integral Equations and Operator Theory 59(4), 591-596 (2007),
doi: 10.1007/s00020-007-1535-8.
- Francesco Demontis and Cornelis van der Mee, Explicit solutions
of the cubic matrix nonlinear Schrödinger equation, Inverse Problems
24, 02520 (2008), 16 pp.
doi: 10.1088/0266-5611/24/2/025020
- Cornelis van der Mee, Exponentially dichotomous operators and
applications, Birkhäuser OT 182, Basel and Boston, 2008.
ISBN: 978-3-7643-8731-0.
- Antonio Aricò, Cornelis van der Mee, and Sebastiano Seatzu,
Structured matrix solution of the nonlinear Schrödinger equation by the
inverse scattering transform, Electronic Journal of Differential Equations
2009(15), 1-21.
- Cornelis van der Mee, Paolo Pintus, and Sebastiano Seatzu,
Mathematical principles in photonic crystals, Rivista di Matematica
dell'Università di Parma, Series 7, 8, 99-137 (2008).
- Francesco Demontis and Cornelis van der Mee, Scattering operators
for matrix Zakharov-Shabat systems, Integral Equations and Operator
Theory 62(4), 517-540 (2008).
doi: 10.1007/s00020-008-1640-3
- Cornelis van der Mee, Pietro Contu, and Paolo Pintus,
One-dimensional photonic crystal design, Journal of Quantitative
Spectroscopy and Radiative Transfer 111, 214-225 (2010).
doi: 10.1016/j.jqsrt.2009.07.003
- Tuncay Aktosun and Cornelis van der Mee, A unified approach to
Darboux transformations, Inverse Problems 25 (2009), 105003 (22 pp.).
doi: 10.188/0266-5611/25/10/105003.
- Tuncay Aktosun, Theresa Busse, Francesco Demontis, and Cornelis van
der Mee, Symmetries for exact solutions to the nonlinear Schrödinger
equation, Journal of Physics A 43, 025202 (2010).
- Tuncay Aktosun, Theresa Busse, Francesco Demontis, and Cornelis van
der Mee, Exact solutions to the nonlinear Schrödinger equation.
In: Joseph A. Ball, Vladimir Bolotnikov, J. William Helton, Leiba Rodman, and
Ilya Spitkovsky (eds.), Topics in Operator Theory, Vol. 2, Systems
and Mathematical Physics, Birkhäuser OR 203, Basel and Boston,
2010, pp. 1-12.
ISBN: 978-3-0346-0160-3
- Martin Klaus and Cornelis van der Mee, Wave operators for the
matrix Zakharov-Shabat system, Journal of Mathematical Physics 51,
053503 (2010), pp. 26.
doi: 10.1063/1.3377048.
- Tuncay Aktosun and Cornelis van der Mee, Darboux transformation of
the NLS equation. In: Wen Xiu Ma, Xing-biao Hu, and Qingping Liu (eds.),
Nonlinear and Modern Mathematical Physics: Proceedings of the First
International Workshop, Beijing, July 15-21, 2009, AIP Conference
Proceedings 1212, American Institute of Physics, 2010, pp. 254-263.
ISBN 978-0-7354-0755-8.
- J.W. Hovenier and C.V.M. van der Mee, A Retrospective view on:
"Testing scattering matrices: A compendium of recipes", Journal of
Quantitative Spectroscopy and Radiative Transfer 111, 1773-1774 (2010).
doi: 10.1016/j.jqsrt.2010.01.006
- Tuncay Aktosun, Francesco Demontis, and Cornelis van der Mee,
Exact solutions to the Sine-Gordon equation, Journal of Mathematical
Physics, 51, 123521 (2010), 27 pp..
doi: 10.1063/1.3520596
- Francesco Demontis and Cornelis van der Mee, Novel formulation of
inverse scattering and characterization of scattering data, Discrete and
Continuous Dynamical Systems, Supplement 2011, 343-350 (2011). In: Wei Feng,
Zhaosheng Feng, Maurizio Grasselli, Akif Ibragimov, Xin Lu, Stefan Siegmund, and
Jürgen Voigt (eds.), Dynamical Systems and Differential Equations, DCDS
Supplement 2011, Proceedings of the 8th AIMS International Conference (Dresden,
Germany), American Institute of Mathematical Sciences, Springfield (MO),
2011.%ISBN 978-1-60133-007-9 (Part I), 978-1-60133-008-6.
- Francesco Demontis and Cornelis van der Mee, Wave operators for
defocusing matrix Zakharov-Shabat systems with potentials nonvanishing at
infinity, Serdica Mathematical Journal 36, 265-284 (2010).
- Cornelis van der Mee, Evolution systems in kinetic theory,
International Journal of Pure and Applied Mathematics 67(3), 237-258
(2011).
- Cornelis van der Mee and Francesco Demontis, Exact solutions to
the integrable discrete nonlinear Schrödinger equation under
a quasiscalarity condition, Communications in Applied and Industrial
Mathematics 2(2), 2011, 21 pp.
doi: 10.1685/journal.caim.372
- Cornelis van der Mee, Sebastiano Seatzu, and Pietro Contu, Fast and
effective finite difference method for 2D photonic crystals, Communications
in Applied and Industrial Mathematics 2(2), 2011, 18 pp.
doi: 10.1685/journal.caim.374
- Francesco Demontis and Cornelis van der Mee, Closed form solutions
to the matrix Sine-Gordon equation, IMA Journal of Applied Mathematics,
77, 308-315 (2012).
doi: 10.1093/imamat/hxs029.
- Francesco Demontis and Cornelis van der Mee, An alternative
approach to integrable discrete nonlinear Schrödinger equations,
Acta Applicandae Mathematicae 127, 169-191 (2013).
doi: 10.1007/s10440-012-9797-9
- Francesco Demontis and Cornelis van der Mee, Closed form
solutions to the integrable discrete nonlinear Schrödinger equation,
Journal of Nonlinear Mathematical Physics 19(2) (2012) 1250010, 22 pp.
- Michael I. Mishchenko, Matthew J. Berg, Christopher M. Sorensen, and
Cornelis V.M. van der Mee, On definition and measurement of extinction
cross section, Journal of Quantitative Spectroscopy and Radiative Transfer
110(11), 323-327 (2009).
doi: 10.1016/j.jqsrt.2008.11.010
- Francesco Demontis, Barbara Prinari, Cornelis van der Mee, and
Federica Vitale, The inverse scattering transform for the defocusing
nonlinear Schrödinger equation with nonzero boundary conditions,
Studies in Applied Mathematics 131(1), 1-40 (2013).
doi:10.1111/j.1467-9590.2012.00572.x
- Pietro Contu, Cornelis van der Mee, and Sebastiano Seatzu,
A finite element frequency domain method for 2D photonic crystals,
Journal of Computational and Applied Mathematics 236, 3956-3966 (2012).
doi:10.1016/j.cam.2012.02.041
- Francesco Demontis and Cornelis van der Mee, Characterization of
Scattering Data for the AKNS System, Acta Applicandae Mathematicae
131, 29-47 (2014). doi:10.1007/s10440-013-9848x.
- Cornelis van der Mee, Closed form solutions of integrable nonlinear
evolution equations, Pliska Studia Mathematica Bulgarica 21, 127-146
(2012).
- Cornelis van der Mee, Nonlinear Evolution Models of Integrable
Type, SIMAI e-Lecture Notes 11, 2013. ISBN-13: 978-88-905708-0-3,
ISBN-A: 10.978.88905708/03.
- Francesco Demontis, Cornelis van der Mee, and Federica Vitale,
On the location of the discrete eigenvalues for defocusing Zakharov-Shabat
systems having potentials with nonvanishing boundary conditions,
Contemporary Mathematics 635, 13--24 (2015). In: Anton Dzhamay, Willy A.
Hereman, and B. Prinari (eds.), Nonlinear Wave Equations: Analytic and
Computational Techniques, Contemporary Mathematics 635, Amer. Math.
Soc., Providence, RI, 2015.
- Luisa Fermo, Cornelis van der Mee, and Sebastiano Seatzu,
Parameter estimation of monomial-exponential sums, Electronic
Transactions on Numerical Analysis 41, 249-261 (2014).
- Cornelis van der Mee, Time-evolution-proof scattering data for the
focusing and defocusing Zakharov-Shabat systems, Journal of Nonlinear
Mathematical Physics 21(2), 265-277 (2014).
- F. Demontis, B. Prinari, C. van der Mee, and F. Vitale, The inverse
scattering transform for the focusing nonlinear Schrödinger equation with
asymmetric boundary conditions, Journal of Mathematical Physics 55,
101505 (2014). doi: 10.1063/1.4898768
- F. Demontis, G. Ortenzi, and C. van der Mee, Exact solutions of the
Hirota equation and vortex filaments motion, Physica D: Nonlinear Phenomena
313, 61-80 (2015). doi: 10.1016/j.physd.2015.09.009
- L. Fermo, C. Van der Mee, and S. Seatzu, Emerging problems in
approximation theory for the numerical solution of the nonlinear
Schrödinger equation, Publications de l'Institut Mathématique
(Beograd) 96(110), 125-141 (2014). doi:10.2298/PIM1410125F
- Cornelis van der Mee, Direct scattering of AKNS systems with
L2 potentials, Dynamical Systems, Differential Equations and
Applications, AIMS Proceedings, 1089--1097 (2015).
doi: 10.3934/proc.2015.1089
- L. Fermo, C. van der Mee, and S. Seatzu, Parameter estimation of
monomial-exponential sums in one and two variables, Applied Mathematics and
Computation 258, 576-586 (2015).
- Cornelis van der Mee, Inverse scattering transform for the discrete
focusing nonlinear Schrödinger equation with nonvanishing boundary
conditions, Journal of Nonlinear Mathematical Physics 22(2), 233-264
(2015).
doi: 10.1080/14029251.2015.1023583
- L. Fermo, C. van der Mee, and S. Seatzu, Scattering data
computation for the Zakharov-Shabat system, Calcolo, 53(3), 487-520
(2016).
doi: 10.1007/510092-015-0159-7
- L. Fermo, C. van der Mee, and S. Seatzu, Numerical solution of the
direct scattering problem for the nonlinear Schroedinger equation. In:
2015 Tyrrhenian International Workshop on Digital Communications (TIWDC),
IEEE Conference Publications, 2015, pp. 5-8,
doi: 10.1109/TIWDC.2015.7323323
- F. Demontis, S. Lombardo, M. Sommacal, C. van der Mee, and F. Vargiu,
Effective generation of closed-form soliton solutions of the continuous
classical Heisenberg ferromagnet equation, Communications in Nonlinear
Science and Numerical Simulation, 64, 35-65 (2018).
doi:10.1016/j.cnsns.2018.03.020 Also: Exact solutions of the Heisenberg
ferromagnetic equation, arXiv:1507.08097v1.
- L. Fermo, C. van der Mee, and S. Seatzu, Scattering data
computation for the Zakharov-Shabat system with non smooth potentials,
Applied Numerical Mathematics, 116, 195-203 (2017).
doi: 10.1016/j.apnum.2016.09.016
- F. Demontis, G. Ortenzi, and C. van der Mee, Nonlocal integrable
PDEs from hierarchies of symmetry laws: the example of Pohlmeyer-Lund-Regge
equation and its reflectionless potential solutions,
Journal of Geometry and Physics 127, 84-100 (2018).
doi:10.1016/j.geomphys.2018.01.020
- Sebastiano Seatzu, Cornelis van der Mee, and Pietro Contu,
Matematica Applicata. Un Secondo Corso, SIMAI, Torino, 2017.
ISBN-A: 10.978.88905708/10
- F. Demontis, G. Ortenzi, M. Sommacal, and C. van der Mee,The
continuous classical Heisenberg ferromagnet equation with in-plane asymptotic
conditions. I. Direct and inverse scattering theory, Ricerche di Matematica,
68(1), 145-161 (2019). doi:10.1007/s11587-018-0394-8
- F. Demontis, G. Ortenzi, M. Sommacal, and C. van der Mee,The
continuous classical Heisenberg ferromagnet equation with in-plane asymptotic
conditions. II. IST and closed-form soliton solutions, Ricerche di
Matematica, 68(1), 163-178 (2019). doi:10.1007/s11587-018-0395-7
- Barbara Prinari, Alyssa Ortiz, Cornelis van der Mee, and Marek
Grabowski, Inverse Scattering Transform and solitons for square matrix
nonlinear Schrödinger equations, Studies in Applied Mathematics
141, 308-352 (2018). doi:10.1111/sapm.12223
- P. Diaz de Alba, L. Fermo, C. van der Mee, and G. Rodriguez,
Recovering the electrical conductivity of the soil via a linear integral
model, Journal of Computational and Applied Mathematics, 352,
132-145 (2019). doi:10.1016/j.cam.2018.11.034
- Luisa Fermo, Cornelis van der Mee, and Sebastiano Seatzu,
A numerical method to compute the scattering solution for the KdV
equation, Applied Numerical Mathematics 149, 3-16 (2020).
doi:10.1016/j.apnum.2019.07.001
- Cornelis van der Mee, Complex short-pulse solutions by gauge
transformation, Journal of Geometry and Physics 148, 103539 (2020).
doi:org/10.1016/j.geomphys.2019.103539
- Francesco Demontis and Cornelis van der Mee, Reflectionless
solutions for square matrix NLS with vanishing boundary conditions,
Mathematical Physics, Analysis and Geometry 22, article number:26 (2019).
doi:10.1007/s11040-019-9323-7
- Cornelis van der Mee, Focusing NLS equations with nonzero boundary
conditions: Triangular representations and direct scattering, Journal of
Nonlinear Mathematical Physics 28(1), 68-89 (2021).
doi:10.2991/jnmp.k.200926.006
- Luisa Fermo and Cornelis van der Mee, Volterra integral equations
with highly oscillatory kernels: a new numerical method with applications,
Electronic Transactions on Numerical Analysis 54, 333-354 (2021).
- Silvia Frassu, Cornelis van der Mee, and Giuseppe Viglialoro,
Boundedness in a nonlinear attraction-repulsion Keller-Segel system with
production and consumption, Journal of Mathematical Analysis and
Applications 504(2), 125428 (2021). doi: 10.1016/j.jmaa.2021.125428
- Francesco Demontis, Francesca Vargiu, and Cornelis van der Mee,
Nonsmooth spin densities for continuous Heisenberg spin chains, Ricerche
di Matematica 65, 469-478 (2016). doi:10.1007/s11587-016-0268-x
- Francesco Demontis and Cornelis van der Mee, A matrix
Schrödinger approach to focusing nonlinear Schrödinger equations with
nonvanishing boundary conditions, Journal of Nonlinear Science 32(4),
article 57 (2022).
- Francesco Demontis and Cornelis van der Mee, From the AKNS system
to the matrix Schrödinger equation with vanishing potentials: Direct and
inverse problems, Studies in Applied Mathematics 150(2), 481-519
(2022).
last update: February 11, 2023