Search Results - numerical methods for eigenvalue problems for boundary value problems involving des*
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1
Authors: et al.
Source: Advances in Computational Mathematics. 50
Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Asymptotic distributions of eigenvalues in context of PDEs, eigenvalue distributions, spectral method in time, QZ decomposition, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, matrix diagonalisation, 01 natural sciences, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), KdV equations (Korteweg-de Vries equations), Bessel and generalised Bessel polynomials, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, 65M70, 65L15, 65F15, 33C45, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Mathematics - Numerical Analysis, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Legendre dual Petrov-Galerkin methods
File Description: application/xml
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Source: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. Dec2023, Vol. 103 Issue 12, p1-20. 20p.
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3
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Source: SIAM Journal on Scientific Computing. 46:A3067-A3093
Subject Terms: 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
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Access URL: http://arxiv.org/abs/2311.08757
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4
Authors:
Source: Computers & Mathematics with Applications. 106:18-26
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Estimates of eigenvalues in context of PDEs, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, computer-assisted proofs, eigenvalue evaluation, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, Boundary value problems for second-order elliptic equations, system of partial differential equations, Nonlinear boundary value problems for linear elliptic equations, norm of inverse operators, FOS: Mathematics, Mathematics - Numerical Analysis, rigorous numerical computations, 0101 mathematics, Spectral Theory (math.SP), Analysis of PDEs (math.AP), 65G20, 65N30, 35J25
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Access URL: http://arxiv.org/abs/1910.02200
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5
Authors:
Source: Journal of Computational Physics. 521:113538
Subject Terms: periodic structure, Numerical optimization and variational techniques, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, FOS: Physical sciences, General topics in linear spectral theory for PDEs, PDE constrained optimization (numerical aspects), 01 natural sciences, topological photonic crystal, spectral bandgap, Optimization and Control (math.OC), 0103 physical sciences, FOS: Mathematics, Semidefinite programming, Waves and radiation in optics and electromagnetic theory, optimal design, 0101 mathematics, PDEs in connection with optics and electromagnetic theory, Mathematics - Optimization and Control, Variational methods for eigenvalues of operators, Physics - Optics, Optics (physics.optics)
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Access URL: http://arxiv.org/abs/2407.19699
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6
Authors: Eldad Haber
Source: Journal of Computational Physics. 198:518-534
Subject Terms: Decomposition methods, Numerical optimization and variational techniques, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, numerical examples, Optimization of shapes other than minimal surfaces, Compliance or weight optimization in solid mechanics, inverse iteration, shape optimization, optimal design, 0101 mathematics, level set method, multilevel continuation techniques, 01 natural sciences
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Access URL: http://www.mathcs.emory.edu/~haber/pubs/eigopt_v1.pdf
https://zbmath.org/2102455
https://doi.org/10.1016/j.jcp.2004.01.031
https://core.ac.uk/display/21008532
http://www.mathcs.emory.edu/~haber/pubs/eigopt_v1.pdf
http://ui.adsabs.harvard.edu/abs/2004JCoPh.198..518H/abstract
https://www.sciencedirect.com/science/article/pii/S0021999104000506 -
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Source: Journal of Computational Physics. 524:113723
Subject Terms: quadratic eigenvalue problem, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Scattering theory, inverse scattering involving ordinary differential operators, filter design, photonics, genetic algorithm, FOS: Physical sciences, Computational Physics (physics.comp-ph), phononics, Bloch waves, Physics - Computational Physics
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Access URL: http://arxiv.org/abs/2412.02037
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8
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Source: Numerical Linear Algebra with Applications. 6:3-16
Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, electromagnetic waves, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, large sparse eigenvalue problem, penalty method, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Computational methods for sparse matrices, Complexity and performance of numerical algorithms, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, Maxwell equations, restarted Lanczos algorithm, Motion of charged particles, cavity resonator, subspace iteration, finite elements, Lanczos algorithm, Jacobi-Davidson algorithm, numerical experiments, PDEs in connection with optics and electromagnetic theory, performance
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Access URL: https://zbmath.org/1684495
https://doi.org/10.1002/(sici)1099-1506(199901/02)6:1<3::aid-nla142>3.0.co;2-i
https://onlinelibrary.wiley.com/doi/10.1002/(SICI)1099-1506(199901/02)6:1<3::AID-NLA142>3.0.CO;2-I/abstract
http://onlinelibrary.wiley.com/doi/10.1002/(SICI)1099-1506(199901/02)6:1<3::AID-NLA142>3.0.CO;2-I/abstract -
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Authors: V. S. Tikhonov
Source: Journal of Mathematical Sciences. 90:2474-2478
Subject Terms: Nonlinear dynamics in mechanics, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Asymptotic approximations, asymptotic expansions (steepest descent, etc.), asymptotic expansion, Vibrations in dynamical problems in solid mechanics, 0203 mechanical engineering, boundary value problem, 0103 physical sciences, eigenvalues, singularly perturbed problem, 02 engineering and technology, Rods (beams, columns, shafts, arches, rings, etc.), 01 natural sciences
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Authors:
Source: SIAM Journal on Numerical Analysis. 60:2508-2537
Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, FOS: Computer and information sciences, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, preconditioner, iterative eigenvalue solvers, Asymptotic behavior of solutions to PDEs, factorization principle, directional homogenization, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences, asymptotic eigenvalue analysis, Computational Engineering, Finance, and Science (cs.CE), periodic Schrödinger equation, FOS: Mathematics, Mathematics - Numerical Analysis, 65N25, 65F15, 65N30, 35B27, 35B40, 0101 mathematics, Computer Science - Computational Engineering, Finance, and Science
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Access URL: http://arxiv.org/abs/2110.14982
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Authors: Shengfeng Zhu
Source: Journal of Optimization Theory and Applications. 176:17-34
Subject Terms: Galerkin finite element, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, shape functional, shape gradient, shape optimization, eigenvalue, Eulerian derivative, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Existence theories for optimal control problems involving partial differential equations, 0101 mathematics, 01 natural sciences, Variational methods for eigenvalues of operators
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Authors: Igor Bock
Source: Mathematical Methods in the Applied Sciences. 24:671-688
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, 0209 industrial biotechnology, necessary condition, 02 engineering and technology, Existence theories for optimal control problems involving partial differential equations, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Variational inequalities, 01 natural sciences, eigenvalue optimization, optimal control, unilateral plate, Rods (beams, columns, shafts, arches, rings, etc.), optimal design, 0101 mathematics, Plates, unilateral beam
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13
Authors: et al.
Contributors: et al.
Source: Computers & Mathematics with Applications. 81:42-74
Subject Terms: Finite element methods, FOS: Computer and information sciences, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Finite element methods applied to problems in solid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 01 natural sciences, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, High-order methods, Numerical algorithms for specific classes of architectures, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, FOS: Mathematics, finite element methods, numerical PDEs, Mathematics - Numerical Analysis, 0101 mathematics, High-performance computing, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Open-source scientific software, matrix-free algorithms, high-performance computing, Parallel numerical computation, Numerical Analysis (math.NA), Software, source code, etc. for problems pertaining to numerical analysis, Matrix-free algorithms, high-order methods, Computer Science - Mathematical Software, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, open-source scientific software, Numerical PDEs, Mathematical Software (cs.MS), Finite element methods applied to problems in fluid mechanics
File Description: application/xml; application/pdf
Access URL: https://www.sciencedirect.com/science/article/am/pii/S0898122120302583
http://arxiv.org/abs/1911.09220
https://zbmath.org/7288706
https://doi.org/10.1016/j.camwa.2020.06.009
https://ui.adsabs.harvard.edu/abs/2019arXiv191109220A/abstract
https://repository.tudelft.nl/islandora/object/uuid%3A553103d4-1337-44a3-9638-47ff85dbd5d1
http://export.arxiv.org/pdf/1911.09220
http://doi.org/10.1016/j.camwa.2020.06.009
https://dblp.uni-trier.de/db/journals/corr/corr1911.html#abs-1911-09220
https://arxiv.org/abs/1911.09220
http://resolver.tudelft.nl/uuid:553103d4-1337-44a3-9638-47ff85dbd5d1 -
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Authors: Masafumi Itagaki
Source: Engineering Analysis with Boundary Elements. 24:169-176
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, numerical examples, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, boundary element, advanced dual reciprocity method, 0103 physical sciences, eigenvalue problem, Estimates of eigenvalues in context of PDEs, Boundary element methods for boundary value problems involving PDEs, Helmholtz equation, 0101 mathematics, 01 natural sciences
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Source: Computers & Mathematics with Applications. Nov2023, Vol. 149, p171-189. 19p.
Subject Terms: *STRUCTURAL optimization, *CONVEX domains, *BOUNDARY value problems, *FINITE element method, *VECTOR fields
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Authors:
Source: Articulos_ANID
Agencia Nacional de Investigación y Desarrollo
instacron:ANID
Conicyt_qa
ANID
Computers & Mathematics With Applications
Artículos CONICYT
CONICYT Chile
instacron:CONICYTSubject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, anisotropic Laplace operator, 0203 mechanical engineering, inverse problems, finite element method, 0202 electrical engineering, electronic engineering, information engineering, radial basis functions, 02 engineering and technology, Neural networks for/in biological studies, artificial life and related topics, artificial neural networks, Dirichlet eigenvalues, Numerical methods for ill-posed problems for boundary value problems involving PDEs
File Description: application/xml
Access URL: http://dblp.uni-trier.de/db/journals/cma/cma72.html#OssandonRR16
https://www.sciencedirect.com/science/article/pii/S0898122116303698
https://researchers.unab.cl/es/publications/neural-network-solution-for-an-inverse-problem -associated-with-th
https://www.sciencedirect.com/science/article/abs/pii/S0898122116303698
https://pure.pucv.cl/es/publications/neural-network-solution-for-an-inverse-problem -associated-with-th
https://dblp.uni-trier.de/db/journals/cma/cma72.html#OssandonRR16
https://hdl.handle.net/10533/227887
https://repositorio-qa.anid.cl/handle/10533/227887
http://hdl.handle.net/10533/227887 -
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Authors:
Source: MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (IMPRIME)
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Articulos_ANID
Agencia Nacional de Investigación y Desarrollo
instacron:ANID
Conicyt_qa
ANIDSubject Terms: Lagrangian elements, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Vibrations in dynamical problems in solid mechanics, Error bounds for boundary value problems involving PDEs, Finite element methods applied to problems in solid mechanics, displacement potential, Hydro- and aero-acoustics, eigenvalue problem, 0101 mathematics, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
File Description: application/xml
Access URL: https://www.esaim-m2an.org/articles/m2an/pdf/2002/01/m2an0197.pdf
https://zbmath.org/1747337
https://doi.org/10.1051/m2an:2002005
https://www.esaim-m2an.org/articles/m2an/abs/2002/01/m2an0197/m2an0197.html
https://eudml.org/doc/244761
https://www.esaim-m2an.org/articles/m2an/pdf/2002/01/m2an0197.pdf
http://www.numdam.org/item/M2AN_2002__36_1_121_0/
http://www.numdam.org/item/10.1051/m2an:2002005.pdf
https://www.esaim-m2an.org/10.1051/m2an:2002005/pdf
http://hdl.handle.net/10533/173437
https://hdl.handle.net/10533/173437
https://repositorio-qa.anid.cl/handle/10533/173437 -
18
Authors:
Source: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 329:909-914
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, eigenvalue problems, upper and lower bounds, 0211 other engineering and technologies, Estimates of eigenvalues in context of PDEs, 02 engineering and technology, numerical results, overlapping modal synthesis method
File Description: application/xml
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19
Authors: et al.
Source: Conicyt_qa
ANID
instacron:ANID
Articulos_ANID
Agencia Nacional de Investigación y Desarrollo
SIAM JOURNAL ON NUMERICAL ANALYSIS
Artículos CONICYT
CONICYT Chile
instacron:CONICYTSubject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, convergence, Hydro- and aero-acoustics, Estimates of eigenvalues in context of PDEs, dissipative acoustics, Stability and convergence of numerical methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, finite element spectral approximation, numerical experiment, vibration of fluid in cavity, 0101 mathematics, Raviart-Thomas finite elements, quadratic eigenvalue problems, Finite element methods applied to problems in fluid mechanics
File Description: application/xml
Access URL: https://zbmath.org/1519679
https://doi.org/10.1137/s0036142999360160
https://dblp.uni-trier.de/db/journals/siamnum/siamnum38.html#BermudezDRS00
https://epubs.siam.org/doi/10.1137/S0036142999360160
https://repositorio-qa.anid.cl/handle/10533/172318
https://hdl.handle.net/10533/172318
http://hdl.handle.net/10533/172318 -
20
Authors: et al.
Source: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 331:153-158
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, convergence, Greek mathematics,mathematics greek,greek mathematics, Error bounds for boundary value problems involving PDEs, Estimates of eigenvalues in context of PDEs, symmetric eigenvalue problem, error bounds, Stability and convergence of numerical methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, numerical results, 01 natural sciences, reduced-basis output bound method, Boundary value problems for second-order elliptic equations, Numerical solutions to equations with linear operators, Eigenvalue problems for linear operators, 0101 mathematics
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