Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems
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Calin-Ioan Gheorghiu | Michiel E. Hochstenbach | Bor Plestenjak | M. Hochstenbach | Bor Plestenjak | C. Gheorghiu
[1] Karl Meerbergen,et al. A Sylvester–Arnoldi type method for the generalized eigenvalue problem with two‐by‐two operator determinants , 2014, Numer. Linear Algebra Appl..
[2] Călin-Ioan Gheorghiu,et al. Spectral Methods for Non-Standard Eigenvalue Problems: Fluid and Structural Mechanics and Beyond , 2014 .
[3] Ewa Weinmüller,et al. Numerical simulation of the whispering gallery modes in prolate spheroids , 2014, Comput. Phys. Commun..
[4] E. D. Kalinin. Modification of a method for solving the multiparameter eigenvalue problem for systems of loosely coupled ordinary differential equations , 2013 .
[5] Joost Rommes,et al. Spectral collocation solutions to multiparameter Mathieu's system , 2012, Appl. Math. Comput..
[6] L. Kraus,et al. Diffraction by an Elliptic Cone , 2011 .
[7] Morten Willatzen,et al. Separable Boundary-Value Problems in Physics , 2011 .
[8] John P. Boyd,et al. Chebyshev Spectral Methods and the Lane-Emden Problem , 2011 .
[9] F. Atkinson,et al. Multiparameter Eigenvalue Problems: Sturm-Liouville Theory , 2010 .
[10] Ronald F. Boisvert,et al. NIST Handbook of Mathematical Functions , 2010 .
[11] B. Sleeman,et al. Multiparameter spectral theory and separation of variables , 2008 .
[12] Lew Fock Chong Lew Yan Voon,et al. Numerical implementation of the ellipsoidal wave equation and application to ellipsoidal quantum dots , 2005, Comput. Phys. Commun..
[13] M. Willatzen,et al. Theory of Acoustic Eigenmodes in Parabolic Cylindrical Enclosures , 2005 .
[14] Michiel E. Hochstenbach,et al. A Jacobi-Davidson Type Method for the Two-Parameter Eigenvalue Problem , 2005, SIAM J. Matrix Anal. Appl..
[15] Lew Fock Chong Lew Yan Voon,et al. Helmholtz equation in parabolic rotational coordinates: application to wave problems in quantum mechanics and acoustics , 2004, Math. Comput. Simul..
[16] S. Patil. Hydrogen molecular ion and molecule in two dimensions , 2003 .
[17] Jurjen A. Battjes,et al. Implementation of boundary conditions for locked waves , 2001 .
[18] G. W. Stewart,et al. A Krylov-Schur Algorithm for Large Eigenproblems , 2001, SIAM J. Matrix Anal. Appl..
[19] BOR PLESTENJAK,et al. A Continuation Method for a Right Definite Two-Parameter Eigenvalue Problem , 2000, SIAM J. Matrix Anal. Appl..
[20] Gene H. Golub,et al. Matrix computations (3rd ed.) , 1996 .
[21] X. Ji. On 2D Bisection Method for Double EigenvalueProblems , 1996 .
[22] T. Levitina,et al. Evaluation of Lame´ angular wave functions by solving auxiliary differential equations: prf , 1990 .
[23] J. Boyd. Chebyshev and Fourier Spectral Methods , 1989 .
[24] V. G. Sigillito,et al. Eigenvalues of the Laplacian in Two Dimensions , 1984 .
[25] Paul B. Bailey,et al. The automatic solution of two-parameter Sturm-Liouville eigenvalue problems in ordinary differential equations , 1981 .
[26] J. A. Lewis,et al. Charge Singularity at the Corner of a Flat Plate , 1976 .
[27] Richard H. Bartels,et al. Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4] , 1972, Commun. ACM.
[28] Călin-Ioan Gheorghiu,et al. Spectral Methods for Non-Standard Eigenvalue Problems , 2014 .
[29] Piotr Luszczek,et al. Lapack , 2011, Encyclopedia of Parallel Computing.
[30] Michiel E. Hochstenbach,et al. Harmonic Rayleigh-Ritz extraction for the multiparameter eigenvalue problem , 2008 .
[31] Michiel E. Hochstenbach,et al. Harmonic Rayleigh-Ritz for the multiparameter eigenvalue problem , 2006 .
[32] A Matlab Di(cid:11)erentiation Matrix Suite , 2000 .
[33] L. Trefethen. Spectral Methods in MATLAB , 2000 .
[34] T. Levitina. A numerical solution to some three-parameter spectral problems , 1999 .
[35] A. A. Abramov,et al. A method for solving self-adjoint multiparameter spectral problems for weakly coupled sets of ordinary differential equations , 1997 .
[36] B. Fornberg. A practical guide to pseudospectral methods: PS variations and enhancements , 1996 .
[37] T. Levitina. On numerical solution of multiparameter Sturm-Liouville spectral problems , 1994 .
[38] Danny C. Sorensen,et al. Implicit Application of Polynomial Filters in a k-Step Arnoldi Method , 1992, SIAM J. Matrix Anal. Appl..
[39] M. Faierman. Two-parameter eigenvalue problems in ordinary differential equations , 1991 .
[40] J. Boersma,et al. Electromagnetic field singularities at the tip of an elliptic cone , 1990 .
[41] Hans Volkmer,et al. Multiparameter eigenvalue problems and expansion theorems , 1988 .
[42] R. V. M. Zahar,et al. On the Numerical Construction of Ellipsoidal Wave Functions , 1983 .
[43] G. Golub. Matrix computations , 1983 .
[44] D. Gottlieb,et al. Numerical analysis of spectral methods : theory and applications , 1977 .
[45] A. Källström. Multiparameter eigenvalue problems , 1977 .
[46] Parry Moon,et al. Field Theory Handbook , 1961 .