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1Academic Journal
Authors: Sedaghat, Salameh, Marcellán, Francisco
Source: Numerical Algorithms. 99:491-504
Subject Terms: special functions, Sturm-Liouville eigenvalue problems, Fractional derivatives and integrals, Eta functions, Other special orthogonal polynomials and functions, fractional calculus, Numerical solution of eigenvalue problems involving ordinary differential equations
Linked Full TextFile Description: application/xml
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2Academic Journal
Authors: Wang, Yifan, Xie, Hehu, Jin, Pengzhan
Source: Journal of Computational Mathematics. 42:1714-1742
Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, fixed quadrature points, 02 engineering and technology, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, high-dimensional eigenvalue problem, machine learning, numerical integration, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Acceleration of convergence in numerical analysis, tensor neural network, 65N30, 65N25, 65L15, 65B99
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Access URL: http://arxiv.org/abs/2207.02754
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3Academic Journal
Authors: Liu, Chein-Shan, Li, Botong
Source: Mathematics and Computers in Simulation. 210:640-660
Subject Terms: Sturm-Liouville theory, product formula, Inverse problems involving ordinary differential equations, inverse Sturm-Liouville problems, eigenvalues, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, Numerical solution of eigenvalue problems involving ordinary differential equations, Numerical solution of inverse problems involving ordinary differential equations, orthogonalized enhanced boundary functions, Rayleigh quotient
Linked Full TextFile Description: application/xml
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4Academic Journal
Authors: Desong Kong, Jie Shen, Li-Lian Wang, Shuhuang Xiang
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
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Linked Full TextAccess URL: http://arxiv.org/abs/2211.10599
https://zbmath.org/7932062
https://doi.org/10.1007/s10444-024-10190-z -
5Academic Journal
Authors: Taehyoun Kim
Source: International Journal for Numerical Methods in Engineering. 121:2331-2368
Subject Terms: Liouville equation, dynamic eigenmodes, 0103 physical sciences, characteristically rich nonlinear solution space, Numerical problems in dynamical systems, Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics, gauge modal invariance, nonlinear systems, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Basic methods in statistical mechanics, 01 natural sciences, degenerate transformation
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Access URL: https://zbmath.org/7843294
https://doi.org/10.1002/nme.6310
https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.6310
http://ui.adsabs.harvard.edu/abs/2020IJNME.121.2331K/abstractLinked Full Text -
6Academic Journal
Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities
Authors: M. Essaouini, B. Abouzaid, P. Gaudreau, H. Safouhi
Source: Numerical Algorithms. 84:1397-1409
Subject Terms: Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Schrödinger equation, Numerical Analysis (math.NA), 01 natural sciences, 0103 physical sciences, inverse power potentials, sinc collocation method, FOS: Mathematics, 65L10, 65L20, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Mathematics - Numerical Analysis, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, anharmonic potentials, double exponential transformation
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Linked Full TextAccess URL: http://arxiv.org/pdf/1803.11150
http://arxiv.org/abs/1803.11150
https://link.springer.com/article/10.1007/s11075-019-00853-0
http://dblp.uni-trier.de/db/journals/na/na84.html#EssaouiniAGS20 -
7Book
Authors: Doedel, Eusebius
Contributors: Thorin, Anders
Source: International Journal of Bifurcation and Chaos. :2127-2143
Subject Terms: Chua's circuit, [PHYS.MECA.SOLID] Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph], Bifurcation theory for ordinary differential equations, homoclinic bifurcation, Josephson junctions, numerical bifurcation analysis, coupled Josephson junctions, [SPI.GCIV.STRUCT] Engineering Sciences [physics]/Civil Engineering/Structures, [SPI.GCIV.DV] Engineering Sciences [physics]/Civil Engineering/Dynamique, vibrations, 01 natural sciences, Global methods, including homotopy approaches to the numerical solution of nonlinear equations, Numerical solution of nonlinear eigenvalue and eigenvector problems, computational examples, Plant's model, ordinary differential equations, 0103 physical sciences, nonlinear equations, [SPI.MECA.VIBR] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph], [SPI.MECA.STRU] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph], bursting, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, continuation, [SPI.MECA.GEME] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph], singular perturbation
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8Academic Journal
Authors: H. Alıcı, Hasan Taşeli
Source: Journal of Mathematical Chemistry. 41:407-416
Subject Terms: Schrödinger operator, quantum mechanical oscillators, numerical examples, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, singular Sturm-Liouville problems on the real line, reflection symmetric Hamiltonians, Laguerre collocation points, 01 natural sciences, Hermite-Weber functions, 0103 physical sciences, spectral and pseudospectral methods, eigenvalues problem, Laguerre polynomials, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations
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Linked Full TextAccess URL: http://users.metu.edu.tr/taseli/JMC07.pdf
https://link.springer.com/content/pdf/10.1007%2Fs10910-006-9083-z.pdf
https://link.springer.com/article/10.1007/s10910-006-9083-z -
9Academic Journal
Authors: GHELARDONI, PAOLO, GHERI, GIOVANNI, MARLETTA M.
Source: Journal of Computational and Applied Mathematics. 185:360-376
Subject Terms: numerical examples, λ-rational problems, Applied Mathematics, Shooting for eigenvalues, shooting algorithm, Corrections for eigenvalues, 01 natural sciences, Sturm-Liouville theory, Computational Mathematics, rational Sturm-Liouville problem, \(\alpha\)-rational problems, Sturm-Liouville problem, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, Sturm-Liouville eigenvalue problem, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Sturm–Liouville problem
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Linked Full TextAccess URL: https://www.sciencedirect.com/science/article/pii/S0377042705001202
http://ui.adsabs.harvard.edu/abs/2006JCoAM.185..360G/abstract
https://core.ac.uk/display/80226981
https://www.sciencedirect.com/science/article/abs/pii/S0377042705001202
https://arpi.unipi.it/handle/11568/181312
https://dialnet.unirioja.es/servlet/articulo?codigo=1276515 -
10Academic Journal
Authors: Çelik, İbrahim, Gokmen, G.
Source: Applied Mathematics and Computation. 170:285-295
Subject Terms: Eigenvalues and eigenfunctions, Problem solving, numerical examples, Boundary conditions, Chebysheb series, Asymptotic stability, Collection methods, 01 natural sciences, Chebyshev series, Periodic eigenvalue problem, Periodic eigenvalue problems, Chebyshev approximation, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Collocation method
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https://dblp.uni-trier.de/db/journals/amc/amc170.html#CelikG05
http://acikerisim.pau.edu.tr:8080/xmlui/handle/11499/4768
https://avesis.deu.edu.tr/publication/details/9924b489-6247-452f-9432-a8785c330242/oai
http://acikerisim.pau.edu.tr:8080/xmlui/handle/11499/4768 -
11Academic Journal
Authors: Amin Boumenir
Source: Journal of Mathematical Analysis and Applications. 310:197-208
Subject Terms: sampling, Paley-Wiener spaces, Applied Mathematics, transmission, eigenvalues, Sturm-Liouville operators, shooting methods, Sturm–Liouville operators, 01 natural sciences, Paley–Wiener spaces, Sturm-Liouville theory, Miss-distance function, Transmission, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, 0101 mathematics, Sampling, Numerical solution of eigenvalue problems involving ordinary differential equations, miss-distance function, Analysis
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Linked Full TextAccess URL: https://zbmath.org/2207263
https://doi.org/10.1016/j.jmaa.2005.02.001
https://ui.adsabs.harvard.edu/abs/2005JMAA..310..197B/abstract
https://core.ac.uk/display/82232301
https://www.sciencedirect.com/science/article/pii/S0022247X05000922 -
12Academic Journal
Authors: Basem S. Attili
Source: Applied Mathematics and Computation. 168:1306-1316
Subject Terms: Sturm-Liouville two point boundary value problem, numerical examples, 0209 industrial biotechnology, eigenvalues, Adomian decomposition method, 02 engineering and technology, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, 01 natural sciences
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Linked Full TextAccess URL: https://zbmath.org/2223306
https://doi.org/10.1016/j.amc.2004.10.020
https://www.sciencedirect.com/science/article/pii/S0096300304007039
https://dblp.uni-trier.de/db/journals/amc/amc168.html#Attili05 -
13Academic Journal
Authors: Çelik, İbrahim
Source: Applied Mathematics and Computation. 168:125-134
Subject Terms: eigenvalue problem, collocation method, Chebyshev series, Eigenvalues and eigenfunctions, Problem solving, Boundary conditions, Asymptotic stability, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Sturm-Liouville eigenvalues, Approximate computation, Approximation theory, Chebyshev collocation method, truncated Chebyshev series, Matrix algebra, 01 natural sciences, Eigenvalue problem, Computational methods, Mathematical transformations, Chebyshev approximation, asymptotic correction technique, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Collocation method
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Linked Full TextAccess URL: https://zbmath.org/2223217
https://doi.org/10.1016/j.amc.2004.08.024
https://www.sciencedirect.com/science/article/pii/S0096300304005910
http://www.sciencedirect.com/science/article/pii/S0096300304005910
https://dblp.uni-trier.de/db/journals/amc/amc168.html#Celik05a
https://dl.acm.org/doi/10.1016/j.amc.2004.08.024
http://acikerisim.pau.edu.tr:8080/xmlui/handle/11499/4798
http://acikerisim.pau.edu.tr:8080/xmlui/handle/11499/11551
http://acikerisim.pau.edu.tr:8080/xmlui/handle/11499/18166 -
14Academic Journal
Authors: Qian Guo, Zhong-Hua Yang
Source: Applied Mathematics and Computation. 167:454-476
Subject Terms: Bifurcation theory for ordinary differential equations, collocation method, delayed logistic equation, Lyapunov-Schmidt reduction, periodic solutions, Hopf bifurcation, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, numerical results, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Periodic solutions to ordinary differential equations, 01 natural sciences
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Linked Full TextAccess URL: https://dblp.uni-trier.de/db/journals/amc/amc167.html#YangG05
http://www.sciencedirect.com/science/article/pii/S0096300304005041
https://www.sciencedirect.com/science/article/pii/S0096300304005041 -
15Academic Journal
Authors: Somali, S, ÖĞER, VOLKAN
Source: Journal of Computational and Applied Mathematics. 180:433-441
Subject Terms: Finite difference and finite volume methods for ordinary differential equations, Richardson extrapolation, Sturm-Liouville eigenvalue problems, finite difference, eigenvalues, Eigenvalues, eigenfunctions, higher-order eigenelements, 01 natural sciences, Sturm-Liouville theory, numerical experiment, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations, Sturm–Liouville problem, error analysis
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Linked Full TextAccess URL: https://ui.adsabs.harvard.edu/abs/2005JCoAM.180..433S/abstract
https://www.sciencedirect.com/science/article/pii/S0377042704005436
https://www.sciencedirect.com/science/article/abs/pii/S0377042704005436
https://avesis.deu.edu.tr/yayin/3147fe16-7786-4685-8587-c56c560ab988/improvement-of-eigenvalues-of-sturm-liouville-problem-with-t-periodic-boundary-conditions
https://avesis.deu.edu.tr/publication/details/3147fe16-7786-4685-8587-c56c560ab988/oai -
16Academic Journal
Authors: Ayasun, S, Nwankpa, CO, Kwatny, HG
Contributors: 0-Belirlenecek, Nigde Univ, Dept Elect & Elect Engn, TR-51200 Nigde, Turkey -- Drexel Univ, Dept Elect & Comp Engn, Philadelphia, PA 19104 USA -- Drexel Univ, Dept Mech Engn & Mech, Philadelphia, PA 19104 USA
Source: Applied Mathematics and Computation. 167:435-453
Subject Terms: Numerical methods for differential-algebraic equations, Bifurcation theory for ordinary differential equations, 0211 other engineering and technologies, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, 02 engineering and technology, stability, differential-algebraic equations, singularity induced bifurcation, differential-algebraic equation, Newton-Raphson method, iterative method, voltage stability, constraint manifold, 0202 electrical engineering, electronic engineering, information engineering, bifurcation points, singular point, Numerical solution of eigenvalue problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, Implicit ordinary differential equations, differential-algebraic equations
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Linked Full TextAccess URL: https://www.sciencedirect.com/science/article/pii/S009630030400503X
https://dblp.uni-trier.de/db/journals/amc/amc167.html#AyasunNK05
https://avesis.gazi.edu.tr/publication/details/405b103a-8734-4861-ab1c-b727c71e3af9/oai
https://hdl.handle.net/11480/5581 -
17Academic Journal
Authors: S. A. Zaytsev
Source: Inverse Problems. 21:1061-1074
Subject Terms: Numerical computation of eigenvalues and eigenvectors of matrices, Laguerre basis, \(S\)-matrix, Quantum Physics, \(J\)-matrix theory, Inverse problems involving ordinary differential equations, Hamiltonian matrix, FOS: Physical sciences, 01 natural sciences, numerical example, Scattering theory, inverse scattering involving ordinary differential operators, 0103 physical sciences, inverse problem, Numerical solution of eigenvalue problems involving ordinary differential equations, Marchenko method, Quantum Physics (quant-ph), Numerical solution of inverse problems involving ordinary differential equations, \(S\)-matrix theory, etc. in quantum theory
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Access URL: http://arxiv.org/pdf/quant-ph/0409069
http://arxiv.org/abs/quant-ph/0409069
http://ui.adsabs.harvard.edu/abs/2005InvPr..21.1061Z/abstract
http://iopscience.iop.org/article/10.1088/0266-5611/21/3/016
https://jp.arxiv.org/pdf/quant-ph/0409069
https://128.84.21.199/abs/quant-ph/0409069
https://tw.arxiv.org/pdf/quant-ph/0409069
https://export.arxiv.org/abs/quant-ph/0409069
http://arxiv.org/abs/quant-ph/0409069v4 -
18Academic Journal
Authors: Eryk Infeld, A. A. Skorupski
Source: Applied Numerical Analysis & Computational Mathematics. 2:167-174
Subject Terms: multiprecision calculations, numerical examples, Bose-Einstein condensate, Schrödinger like ODEs, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), 16. Peace & justice, 01 natural sciences, asymptotics, Eigenvalue problem, 0103 physical sciences, phase integral approximation, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, 0101 mathematics, Numerical solution of eigenvalue problems involving ordinary differential equations
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Linked Full TextAccess URL: https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/anac.200410033
https://www.onlinelibrary.wiley.com/doi/pdf/10.1002/anac.200410033 -
19Academic Journal
Authors: T. E. Simos, Th. Monovasilis, Zacharoula Kalogiratou
Source: Journal of Mathematical Chemistry. 37:271-279
Subject Terms: Finite difference methods for boundary value problems involving PDEs, numerical examples, partial discretization, two-dimensional Schrödinger equation, Numerov method, minimum phase-lag, 01 natural sciences, harmonic oscillator, Boundary value problems for second-order elliptic equations, 0103 physical sciences, Henon-Heils potential, Numerical solution of eigenvalue problems involving ordinary differential equations, trigonometric fitting, exponential fitting
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Linked Full TextAccess URL: https://zbmath.org/2192638
https://doi.org/10.1007/s10910-004-1469-1
https://link.springer.com/article/10.1007/s10910-004-1469-1 -
20Academic Journal
Authors: L.A.A. Nikolopoulos
Source: Journal of Mathematical Chemistry. 37:191-199
Subject Terms: WKB method, complex atomic systems, \(B\)-splines, 0103 physical sciences, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), hydrogenic Hamiltonian, Schrödinger equation, Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators, Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent), Numerical solution of eigenvalue problems involving ordinary differential equations, photoionization, 01 natural sciences, spectrum
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Linked Full TextAccess URL: https://zbmath.org/2192631
https://doi.org/10.1007/s10910-004-1462-8
https://link.springer.com/article/10.1007/s10910-004-1462-8
https://link.springer.com/content/pdf/10.1007/s10910-004-1462-8.pdf