Integral representations of Eta functions and fractional calculus

Συγγραφείς: Sedaghat, Salameh, Marcellán, Francisco

Πηγή: Numerical Algorithms. 99:491-504

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8032139
https://doi.org/10.1007/s11075-024-01885-x

Tensor Neural Network and Its Numerical Integration: Tensor neural network and its numerical integration

Συγγραφείς: Wang, Yifan, Xie, Hehu, Jin, Pengzhan

Πηγή: Journal of Computational Mathematics. 42:1714-1742

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2207.02754

Solving Sturm–Liouville inverse problems by an orthogonalized enhanced boundary function method and a product formula for symmetric potential: Solving Sturm-Liouville inverse problems by an orthogonalized enhanced boundary function method and a product formula for symmetric potential

Συγγραφείς: Liu, Chein-Shan, Li, Botong

Πηγή: Mathematics and Computers in Simulation. 210:640-660

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7703879
https://doi.org/10.1016/j.matcom.2023.03.025

Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems

Συγγραφείς: Desong Kong, Jie Shen, Li-Lian Wang, Shuhuang Xiang

Πηγή: Advances in Computational Mathematics. 50

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2211.10599
https://zbmath.org/7932062
https://doi.org/10.1007/s10444-024-10190-z

Finding characteristically rich nonlinear solution space: a statistical mechanics approach

Συγγραφείς: Taehyoun Kim

Πηγή: International Journal for Numerical Methods in Engineering. 121:2331-2368

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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/abstract

Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities

Συγγραφείς: M. Essaouini, B. Abouzaid, P. Gaudreau, H. Safouhi

Πηγή: Numerical Algorithms. 84:1397-1409

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

NONLINEAR NUMERICS: Nonlinear numerics

Συγγραφείς: Doedel, Eusebius

Συνεισφορές: Thorin, Anders

Πηγή: International Journal of Bifurcation and Chaos. :2127-2143

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/pdf; application/xml

Σύνδεσμος πρόσβασης: https://hal.archives-ouvertes.fr/hal-01634308/file/EJDA.pdf
https://zbmath.org/1217297
https://doi.org/10.1142/s0218127497001576

The Laguerre Pseudospectral Method for the Reflection Symmetric Hamiltonians on the Real Line: The Laguerre pseudospectral method for the reflection symmetric Hamiltonians on the real line

Συγγραφείς: H. Alıcı, Hasan Taşeli

Πηγή: Journal of Mathematical Chemistry. 41:407-416

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

A polynomial approach to the spectral corrections for Sturm–Liouville problems: A polynomial approach to the spectral corrections for Sturm-Liouville problems

Συγγραφείς: GHELARDONI, PAOLO, GHERI, GIOVANNI, MARLETTA M.

Πηγή: Journal of Computational and Applied Mathematics. 185:360-376

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Approximate solution of periodic Sturm–Liouville problems with Chebyshev collocation method: Approximate solution of periodic Sturm-Liouville problems with Chebyshev collocation method

Συγγραφείς: Çelik, İbrahim, Gokmen, G.

Πηγή: Applied Mathematics and Computation. 170:285-295

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S0096300304009269
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

Sampling the miss-distance and transmission function

Συγγραφείς: Amin Boumenir

Πηγή: Journal of Mathematical Analysis and Applications. 310:197-208

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

The Adomian decomposition method for computing eigenelements of Sturm–Liouville two point boundary value problems: The Adomian decomposition method for computing eigenelements of Sturm-Liouville two point boundary value problems

Συγγραφείς: Basem S. Attili

Πηγή: Applied Mathematics and Computation. 168:1306-1316

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Approximate computation of eigenvalues with Chebyshev collocation method

Συγγραφείς: Çelik, İbrahim

Πηγή: Applied Mathematics and Computation. 168:125-134

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Bifurcation analysis of delayed logistic equation

Συγγραφείς: Qian Guo, Zhong-Hua Yang

Πηγή: Applied Mathematics and Computation. 167:454-476

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Improvement of eigenvalues of Sturm–Liouville problem with t-periodic boundary conditions: Improvement of eigenvalues of Sturm-Liouville problem with \(t\)-periodic boundary conditions

Συγγραφείς: Somali, S, ÖĞER, VOLKAN

Πηγή: Journal of Computational and Applied Mathematics. 180:433-441

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

An efficient method to compute singularity induced bifurcations of decoupled parameter-dependent differential-algebraic power system model

Συγγραφείς: Ayasun, S, Nwankpa, CO, Kwatny, HG

Συνεισφορές: 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

Πηγή: Applied Mathematics and Computation. 167:435-453

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

A discrete version of the inverse scattering problem and the J -matrix method: A discrete version of the inverse scattering problem and the \(J\)-matrix method

Συγγραφείς: S. A. Zaytsev

Πηγή: Inverse Problems. 21:1061-1074

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Eigenvalue problem for a set of coupled Schrödinger like ODEs

Συγγραφείς: Eryk Infeld, A. A. Skorupski

Πηγή: Applied Numerical Analysis & Computational Mathematics. 2:167-174

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/anac.200410033
https://www.onlinelibrary.wiley.com/doi/pdf/10.1002/anac.200410033

Numerical solution of the two-dimensional time independent Schr�dinger equation with Numerov-type methods: Numerical solution of the two-dimensional time independent Schrödinger equation with Numerov-type methods

Συγγραφείς: T. E. Simos, Th. Monovasilis, Zacharoula Kalogiratou

Πηγή: Journal of Mathematical Chemistry. 37:271-279

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2192638
https://doi.org/10.1007/s10910-004-1469-1
https://link.springer.com/article/10.1007/s10910-004-1469-1

A numerical basis for the accurate representation of the continuum spectrum of atomic Hamiltonians

Συγγραφείς: L.A.A. Nikolopoulos

Πηγή: Journal of Mathematical Chemistry. 37:191-199

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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