Source: http://bugs.unica.it/~cornelis/RICERCA/papers.html
Timestamp: 2019-04-21 04:16:56+00:00

Document:
Click here for Mathematical Review listing.
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.
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, 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 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).
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).
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).
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).
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).
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, Closed Form Solutions to the Integrable Discrete Nonlinear Schrödinger Equation, Journal of Nonlinear Mathematical Physics 19(2) (2012) 1250010, 22 pp.
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).
Cornelis van der Mee, Direct Scattering of AKNS Systems with L2 Potentials, Proceedings of the 10th AIMS International Conference (Madrid, Spain), in press.
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).
L. Fermo, C. van der Mee, and S. Seatzu, Numerical Solution of the Direct Scattering Problem for the Nonlinear Schroedinger Equation, Extended abstract. In: Photonics in Switching, Firenze, September 22-25, 2015, to appear.
F. Demontis, S. Lombardo, M. Sommacal, C. van der Mee, and F. Vargiu, 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, submitted.
last update: December 4, 2015.

References: V. 
 V. 
 V. 
 V. 
 V. 
 V. 
 V. 
 V. 
 V.