Suchergebnisse - numerical computation of eigenvalues and eigenfunctions

Characterization of singular flows of zeroth-order pseudo-differential operators via elliptic eigenfunctions: A numerical study: Characterization of singular flows of zeroth-order pseudo-differential operators via elliptic eigenfunctions: a numerical study

Autoren: Javier A. Almonacid Nilima Nigam

Quelle: Journal of Computational and Applied Mathematics. 438:115510

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, singular solutions, 35S10, 65M70, 65F15, 76B15, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Initial value problems for PDEs with pseudodifferential operators, Numerical Analysis (math.NA), 01 natural sciences, pseudo-differential operators, energy manifolds, Mathematics - Spectral Theory, spectral methods, internal wave attractors, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Spectral Theory (math.SP), Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, embedded eigenvalues

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2210.13622

On the Numerical Computation of Eigenvalues and Eigenfunctions of Compact Integral Operators Using Spline Functions: On the numerical computation of eigenvalues and eigenfunctions of compact integral operators using spline functions

Autoren: J. Y. Wang

Quelle: IMA Journal of Applied Mathematics. 18:177-188

Schlagwörter: Eigenvalue problems for integral equations, Numerical methods for integral equations, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://academic.oup.com/imamat/article/18/2/177/691004

A Two-Level Block Preconditioned Jacobi–Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators: A two-level block preconditioned Jacobi-Davidson method for multiple and clustered eigenvalues of elliptic operators

Autoren: Qigang Liang Wei Wang Xuejun Xu

Quelle: SIAM Journal on Numerical Analysis. 62:998-1019

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Multigrid methods, domain decomposition for boundary value problems involving PDEs, finite element discretization, multiple and clustered eigenvalues, Rate of convergence, degree of approximation, Parallel numerical computation, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, PDE eigenvalue problems, preconditioned Jacobi-Davidson method, overlapping domain decomposition, FOS: Mathematics, Preconditioners for iterative methods, Mathematics - Numerical Analysis, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2203.06327

Eigenvalues and eigen-functionals of diagonally dominant endomorphisms in Min-Max analysis: Eigenvalues and eigenfunctions of diagonally dominant endomorphisms in Min-Max analysis

Autoren: Gondran, Michel Minoux, Michel Publications, Lip6

Weitere Verfasser: Gondran, Michel Minoux, Michel Publications, Lip6

Quelle: Linear Algebra and its Applications. 282:47-61

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical Analysis, Eigenvalues, singular values, and eigenvectors, Combinatorial optimization, Algebra and Number Theory, Dioïds, functional Min-Max semimodules, Graphs and linear algebra (matrices, eigenvalues, etc.), Maximum capacity path, eigenvalues, Minimum spanning tree, [INFO] Computer Science [cs], eigenvalues and eigenfunctions of a diagonally dominant endomorphism, 01 natural sciences, unique minimal generator, Eigenvalue problems for linear operators, Discrete Mathematics and Combinatorics, Min-Max Analysis, Eigen-semi-modules, eigenfunctinals, Geometry and Topology, 0101 mathematics, eigensemimodule

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1143355
https://doi.org/10.1016/s0764-4442(97)82355-5
https://www.sciencedirect.com/science/article/pii/S0024379598100393
https://www.sciencedirect.com/science/article/abs/pii/S0024379598100393
https://hal.archives-ouvertes.fr/hal-01150536
https://hal.science/hal-01150536v1
https://doi.org/10.1016/s0024-3795(98)10039-3

Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map

Autoren: Araujo-Cabarcas, J. C. Engström, C. Jarlebring, Elias

Quelle: Journal of Computational and Applied Mathematics. 330:177-192

Schlagwörter: Arnoldi's method, Dirichlet-to-Neumann map, Helmholtz problem, Matrix functions, Nonlinear eigenvalue problems, Scattering resonances, Finite element method, Matrix algebra, Numerical methods, Poles, Refractive index, Resonance, Switching systems, Arnoldi's methods, Helmholtz problems, Nonlinear eigenvalue problem, Scattering resonance, Eigenvalues and eigenfunctions

Dateibeschreibung: print

Zugangs-URL: https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-216793

A Scalable Two-Level Domain Decomposition Eigensolver for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains: A scalable two-level domain decomposition eigensolver for periodic Schrödinger eigenstates in anisotropically expanding domains

Autoren: Lambert Theisen Benjamin Stamm

Quelle: SIAM Journal on Scientific Computing. 46:A3067-A3093

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, FOS: Computer and information sciences, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Iterative numerical methods for linear systems, Multigrid methods, domain decomposition for boundary value problems involving PDEs, finite element method, Schrödinger equation, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Numerical solution of discretized equations for boundary value problems involving PDEs, coarse spaces, Computational Engineering, Finance, and Science (cs.CE), domain decomposition, preconditioning, FOS: Mathematics, iterative methods, 65N25, 65F15, 65N30, 65F10, 65N22, 65N55, 65F08, Preconditioners for iterative methods, Mathematics - Numerical Analysis, Computer Science - Computational Engineering, Finance, and Science

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2311.08757

Cubically Convergent Iterations for Invariant Subspace Computation: Cubically convergent iterations for invariant subspace computation

Autoren: Absil, P-A Sepulchre, R Van Dooren, P et al.

Quelle: SIAM Journal on Matrix Analysis and Applications. 26:70-96

Schlagwörter: Optimization, Numerical computation of eigenvalues and eigenvectors of matrices, symmetric eigenproblem, inverse iteration, Physique, chimie, mathématiques & sciences de la terre, Global convergence, Matrix algebra, 01 natural sciences, Keywords: Data coding, Invariant subspace, Physical, chemical, mathematical & earth Sciences, invariant subspace, Computational methods, Mathematical operators, 0101 mathematics, Grassmann manifold, Inverse iteration, Eigenvalues and eigenfunctions, numerical examples, Newton equations, cubic convergence, Symmetric eigenproblem, Set theo Cubic convergence, Rayleigh quotient, global convergence, Normalization, Mathématiques, Newton method, Data compression, Jacobi-Davidson method, Heuristic methods, Algorithms, Riccati equations, Mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://orbi.uliege.be/bitstream/2268/33343/1/AbsilSVM03a.pdf
https://locus.siam.org/doi/abs/10.1137/S0895479803422002
https://digitalcollections.anu.edu.au/handle/1885/77992
https://dblp.uni-trier.de/db/journals/siammax/siammax26.html#AbsilSDM04
http://perso.uclouvain.be/paul.vandooren/publications/AbsilSVM03a.pdf
https://epubs.siam.org/doi/pdf/10.1137/S0895479803422002

Lanczos Approach to Molecular Spectroscopy without Explicit Calculation of Eigenfunctions: Lanczos approach to molecular spectroscopy without explicit calculation of eigenfunctions

Autoren: Hua Guo

Quelle: Journal of Computational Methods in Sciences and Engineering. 1:251-265

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, recursive diagonalization, eigenvalue problems, 05 social sciences, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), Hamiltonian matrix, eigenfunctions, Hermitian matrix, 03 medical and health sciences, 0302 clinical medicine, molecular spectroscopy, 0502 economics and business, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, Lanczos algorithm, Molecular physics, Numerical solution of eigenvalue problems involving ordinary differential equations

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1844155
https://content.iospress.com/articles/journal-of-computational-methods-in-sciences-and-engineering/jcm1-2-3-07

Moment matching method for numerical solution of MTL equations in interconnect analysis

Autoren: Z. Bai ORLANDI, Antonio W. T. Smith

Quelle: Journal of Computational and Applied Mathematics. 86:3-16

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, 0301 basic medicine, 0303 health sciences, Interconnect analysis, interconnect analysis, Laplace transform, Applied Mathematics, Numerical methods in optics, eigenvalues, eigenvectors, algorithms, Numerical methods for initial value problems involving ordinary differential equations, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators, Technical applications of optics and electromagnetic theory, Computational Mathematics, 03 medical and health sciences, Moment matching technique, moment matching method, Multiconductor transmission line (MTL) equations, transformation matrix, multiconductor transmission line, Eigenvalue decomposition

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0377042797821218
http://www.sciencedirect.com/science/article/pii/S0377042797821218
http://www.cs.ucdavis.edu/~bai/publications/baiorlandismith97.pdf
https://hdl.handle.net/11697/8659

Eigenvalues and Eigenfunctions of the Spheroidal Wave Equation: Eigenvalues and eigenfunctions of the spheroidal wave equation

Autoren: D. B. Hodge

Quelle: Journal of Mathematical Physics. 11:2308-2312

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, Wave equation, 02 engineering and technology, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3349216
https://doi.org/10.1063/1.1665398
http://ui.adsabs.harvard.edu/abs/1970JMP....11.2308H/abstract
https://scitation.aip.org/content/aip/journal/jmp/11/8/10.1063/1.1665398
https://aip.scitation.org/doi/full/10.1063/1.1665398

Computation of Eigenvalues for Nonlocal Models by Spectral Methods

Autoren: Lopez, Luciano Pellegrino, Sabrina Francesca

Index Begriffe: Mathematics - Numerical Analysis, text

URL: http://arxiv.org/abs/2105.14483

Computation of Eigenvalues for Vibrating Beams by Use of a Prufer Transformation

Autoren: Banks, D. O. Kurowski, G. J.

Quelle: SIAM Journal on Numerical Analysis, 1973 Oct 01. 10(5), 918-932.

Zugangs-URL: https://www.jstor.org/stable/2156327

NUMERICAL ANALYSIS OF A NEW MIXED FORMULATION FOR EIGENVALUE CONVECTION-DIFFUSION PROBLEMS

Autoren: PIERRE, C. PLOURABOUÉ, F.

Quelle: SIAM Journal on Applied Mathematics, 2009 Jan 01. 70(3), 658-676.

Zugangs-URL: https://www.jstor.org/stable/27862525

Large-Scale Normal Coordinate Analysis for Molecular Structures: Large-scale normal coordinate analysis for molecular structures

Autoren: Donald W. Noid Barry W. Peyton Bobby G. Sumpter et al.

Quelle: SIAM Journal on Scientific Computing. 23:563-582

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, numerical examples, preconditioner, convergence, normal coordinate analysis, truncated RQ-iteration, Numerical computation of matrix norms, conditioning, scaling, vibrational analysis, algorithms, 01 natural sciences, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators, large-scale molecular systems, Jacobi-Davidson method, Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics, 0101 mathematics, Molecular physics, Numerical solution of eigenvalue problems involving ordinary differential equations, eigenvalue computation

Dateibeschreibung: application/xml

Maass Cusp Forms for Large Eigenvalues

Quelle: Mathematics of Computation, 2005 Jan 01. 74(249), 363-381.

Zugangs-URL: https://www.jstor.org/stable/4100251

Studies on algebraic methods to solve linear eigenvalue problems: generalised anharmonic oscillators: Studies on algebraic methods to solve linear eigenvalue problems: Generalized anharmonic oscillators

Autoren: TASELI, H DEMIRALP, M

Quelle: Journal of Physics A: Mathematical and General. 21:3903-3919

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, 4. Education, Schrödinger equation, wavefunction, 01 natural sciences, integration-free method, Ordinary differential operators, anharmonic oscillators, linear eigenvalue problems, 0103 physical sciences, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, eigenfunction, quartic and sextic oscillators, Numerical solution of eigenvalue problems involving ordinary differential equations

Dateibeschreibung: application/xml

Zugangs-URL: http://users.metu.edu.tr/taseli/JPA88.pdf
https://avesis.metu.edu.tr/yayin/75324715-191d-4abf-9a29-a2664c1cf360/studies-on-algebraic-methods-to-solve-linear-eigenvalue-problems-generalized-anharmonic-oscillators
http://ui.adsabs.harvard.edu/abs/1988JPhA...21.3903T/abstract
https://aperta.ulakbim.gov.tr/record/103383

A Grassmann-Rayleigh quotient iteration for computing invariant subspaces: A Grassmann--Rayleigh quotient iteration for computing invariant subspaces

Autoren: Absil, P-A Mahony, Robert Sepulchre, R et al.

Quelle: Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187). 5:4241-4246

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, Physique, chimie, mathématiques & sciences de la terre, Invariant subspaces, Matrix algebra, comparison of methods, 01 natural sciences, Invariant subspace, Physical, chemical, mathematical & earth Sciences, invariant subspace, Keywords: Algorithms, Convergence of numerical methods, Iterative methods Grassmann manifold, 0101 mathematics, Grassmann manifold, Eigenvalues and eigenfunctions, Problem solving, iterative algorithm, convergence, computational complexity, Grassmann-Rayleigh quotient iteration, Invariance, Rayleigh quotient iteration, Mathématiques, Sylvester equation, numerical stability, Grassmannian methods, Riccati equations, Mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://orbi.uliege.be/bitstream/2268/33244/1/grqi_paper.pdf
https://zbmath.org/1729237
https://doi.org/10.1137/s0036144500378648
https://www.jstor.org/stable/pdfplus/4148414.pdf
http://orbi.ulg.ac.be/bitstream/2268/33244/1/grqi_paper.pdf
https://research.monash.edu/en/publications/a-grassmann-rayleigh-quotient-iteration-for-computing-invariant-s
https://ieeexplore.ieee.org/document/914565/
http://www.montefiore.ulg.ac.be/services/stochastic/pubs/2002/AMSV02/grqi_paper.pdf
https://epubs.siam.org/doi/pdf/10.1137/S0036144500378648
https://hdl.handle.net/2268/33244
https://doi.org/10.1137/S0036144500378648

Jacobi's Algorithm on Compact Lie Algebras: Jacobi's algorithm on compact Lie algebras

Autoren: Kleinsteuber, M Helmke, Uwe Hueper, Knut

Quelle: SIAM Journal on Matrix Analysis and Applications. 26:42-69

Schlagwörter: Hamiltonians, Optimization, Numerical computation of eigenvalues and eigenvectors of matrices, Eigenvalues and eigenfunctions, Problem solving, real root space decomposition, skew-symmetric matrix, 4. Education, Real root space decomposition, Jacobi algorithm, Keywords: Costs, Quadratic programming, Matrix algebra, 01 natural sciences, quadratic convergence, Compact Lie algebra, Quadratic convergence, cyclic sweeps, Cost function, Parameter estimation, Al Compact Lie algebras, compact Lie algebra, 0101 mathematics, Simple, semisimple, reductive (super)algebras

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2135307
https://doi.org/10.1137/s0895479802420069
https://openresearch-repository.anu.edu.au/handle/1885/80344
https://dblp.uni-trier.de/db/journals/siammax/siammax26.html#KleinsteuberHH04
https://digitalcollections.anu.edu.au/handle/1885/80344
https://epubs.siam.org/doi/abs/10.1137/S0895479802420069

An Adaptive Algebraic Multigrid for Reactor Criticality Calculations: An adaptive algebraic multigrid for reactor criticality calculations

Autoren: Leonid Yu. Zaslavsky

Quelle: SIAM Journal on Scientific Computing. 16:840-847

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, generalized eigenvalue problem, algebraic multigrid solver, algorithm, shift-and-invert procedure, rebalancing transformation, Nuclear reactor theory, neutron transport, reactor criticality calculations, eigenfunction, 0101 mathematics, numerical experiments, 01 natural sciences

Dateibeschreibung: application/xml

An inverse iteration method using multigrid for quantum chemistry

Autoren: Jean-Luc Fattebert

Quelle: BIT Numerical Mathematics. 36:509-522

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, Finite difference and finite volume methods for ordinary differential equations, generalized eigenvalue problem, Rayleigh-Ritz procedure, inverse iteration method, eigenvectors, Applications of quantum theory to specific physical systems, fourth-order finite difference scheme of Numerov type, 01 natural sciences, stationary Schrödinger equation, quantum chemistry, Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators, 0103 physical sciences, multigrid algorithm, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/content/pdf/10.1007/BF01731930.pdf
https://link.springer.com/article/10.1007/BF01731930