Suchergebnisse - Numerical solutions to equations with linear operators

Solution of linear ill-posed operator equations by modified truncated singular value expansion

Autoren: Laura Dykes Mykhailo Kuian Thomas Mach et al.

Quelle: Journal of Computational and Applied Mathematics. 467:116621

Schlagwörter: regularization, truncated singular value expansion, Numerical solutions of ill-posed problems in abstract spaces, Linear operators and ill-posed problems, regularization, Numerical solutions to equations with linear operators, ill-posed problem, Chebfun

Dateibeschreibung: application/xml; application/pdf

Multifidelity Covariance Estimation via Regression on the Manifold of Symmetric Positive Definite Matrices: Multifidelity covariance estimation via regression on the manifold of symmetric positive definite matrices

Autoren: Aimee Maurais Terrence Alsup Benjamin Peherstorfer et al.

Quelle: SIAM Journal on Mathematics of Data Science. 7:189-223

Schlagwörter: FOS: Computer and information sciences, covariance estimation, Computer Science - Machine Learning, Numerical solutions of ill-posed problems in abstract spaces, regularization, Numerical solutions to equations with nonlinear operators, multifidelity methods, Numerical Analysis (math.NA), estimation on manifolds, Statistics - Computation, Machine Learning (cs.LG), Positive matrices and their generalizations, cones of matrices, Numerical solutions to equations with linear operators, Special polytopes (linear programming, centrally symmetric, etc.), General nonlinear regression, FOS: Mathematics, Mathematics - Numerical Analysis, Riemannian geometry, Mahalanobis distance, Statistics on manifolds, Computation (stat.CO), statistical coupling

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2307.12438

Symmetric-conjugate splitting methods for evolution equations of parabolic type

Autoren: Blanes Zamora, Sergio Casas, F. González, C. et al.

Weitere Verfasser: Blanes Zamora, Sergio Casas, F. González, C. et al.

Quelle: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Universitat Politècnica de València (UPV)

Schlagwörter: Abstract parabolic equations, Fourier spectral methods, 65J10, 65L04, 65M12, convergence, Schrodinger equations, Linear evolution equations, Efficiency, Schrödinger equations, stability, linear evolution equations, Linear differential equations in abstract spaces, efficiency, Numerical solutions to equations with linear operators, Numerical methods for stiff equations, Operator splitting methods, Parabolic problems, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Convergence, MATEMATICA APLICADA, parabolic problems, operator splitting methods, Stability, Physics - Computational Physics

Dateibeschreibung: application/pdf; application/xml

Zugangs-URL: http://arxiv.org/abs/2401.04196
https://riunet.upv.es/handle/10251/206519

Chebyshev Polynomial Iterations and Approximate Solutions of Linear Operator Equations: Chebyshev polynomial iterations and approximate solutions of linear operator equations

Autoren: Zabrejko A.P. Zabrejko P.P. Bergh Jöran et al.

Quelle: Zeitschrift für Analysis und ihre Anwendungen. 13:667-681

Schlagwörter: polynomial iterations, Approximation by polynomials, Numerical solutions to equations with linear operators, Chebyshev polynomials, 0101 mathematics, 01 natural sciences, Equations and inequalities involving linear operators, with vector unknowns, Chebyshev characteristics

Dateibeschreibung: application/xml

Zugangs-URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=13&iss=4&rank=10
http://www.ems-ph.org/fulltext/10.4171/ZAA/484

Tensor-product split-simplex summation-by-parts operators

Autoren: Zelalem Arega Worku Jason E. Hicken David W. Zingg

Quelle: Journal of Computational Physics. 527:113796

Schlagwörter: tensor-product operator, summation-by-parts, Numerical solutions to equations with linear operators, high-order method, Multilinear algebra, tensor calculus, unstructured mesh, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, simplex

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2408.10494
https://zbmath.org/8021096
https://doi.org/10.1016/j.jcp.2025.113796

Projection-Difference Methods for the Approximate Solution of Parabolic Equations with Nonsymmetric Operators: Projection-difference methods for the approximate solution of parabolic equations with nonsymmetric operators

Autoren: V. V. Smagin

Quelle: Differential Equations. 37:128-137

Schlagwörter: Hilbert spaces, Abstract parabolic equations, abstract linear parabolic equations, convergence, Crank-Nicolson scheme, projection-difference methods, implicit Euler scheme, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, Linear differential equations in abstract spaces, Error bounds for initial value and initial-boundary value problems involving PDEs, Initial value problems for second-order parabolic systems, error estimates, Numerical solutions to equations with linear operators, Finite difference methods for initial value and initial-boundary value problems involving PDEs, nonsymmetric operators, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1685290
https://doi.org/10.1023/a:1019284702149
https://link.springer.com/article/10.1023/A:1019284702149

Structure preserving spectral methods and exponential integrators for the numerical solution of stiff semi-linear partial differential equations

Autoren: Lui, Shaun (Mathematics) Cowan, Craig (Mathematics) Slevinsky, Richard (Mathematics) Appiah-Kubi, Emmanuel

Index Begriffe: Numerical Solutions, Partial Differential Equations, Exponential Integrators, master thesis

URL: http://hdl.handle.net/1993/34905

On a method of solution of systems of fractional pseudo-differential equations

Autoren: Umarov, Sabir Ashurov, Ravshan Chen, YangQuan

Quelle: Fractional Calculus and Applied Analysis. 24(1)

Schlagwörter: Applied Mathematics, Numerical and Computational Mathematics, Pure Mathematics, Mathematical Sciences, fractional system of differential equations, system of differential equations, fractional order differential equation, pseudo-differential operator, matrix symbol, solution operator, Mittag-Leffler function, 33E12, 35R11, Primary 35E15, Secondary 35S10, Applied mathematics

Dateibeschreibung: application/pdf

Zugangs-URL: https://escholarship.org/uc/item/7c8461f7
https://escholarship.org/content/qt7c8461f7/qt7c8461f7.pdf

An accurate coupled method for analysis of transcranial magneto-acoustic-electrical stimulation

Autoren: Wang, Z. H. Shang, K. Wang, G.

Quelle: Applied Mathematical Modelling. 128:470-491

Schlagwörter: Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, transcranial magneto-acoustic-electrical stimulation, Numerical solutions to equations with linear operators, numerical methods, Rayleigh integral, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, magneto-acoustic coupling, smoothed finite element method

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7996749
https://doi.org/10.1016/j.apm.2024.01.023

Approximation Spaces in the Numerical Analysis of Operator Equations: Approximation spaces in the numerical analysis of operator equations

Autoren: U. Luther

Quelle: Advances in Computational Mathematics. 20:129-147

Schlagwörter: convergence, Numerical solutions to equations with linear operators, unbounded operator, projection methods, Integral equations with kernels of Cauchy type, approximation spaces, Numerical methods for integral equations, Cauchy singular integral equations, stability, 0101 mathematics, 01 natural sciences, Equations and inequalities involving linear operators, with vector unknowns, linear operator equation

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1023/A:1025806612592
https://link.springer.com/content/pdf/10.1023/A:1025806612592.pdf
https://dblp.uni-trier.de/db/journals/adcm/adcm20.html#Luther04

Iterative Method for the Solution of Linear Equations with Restrictions: Iterative method for the solution of linear equations with restrictions

Autoren: T. A. Kucheruk A. Yu. Luchka

Quelle: Ukrainian Mathematical Journal. 54:577-591

Schlagwörter: Iterative numerical methods for linear systems, integral equation, compatibility condition, Numerical solutions to equations with linear operators, operator equation, restriction, 0101 mathematics, approximate solutions, 01 natural sciences, Equations and inequalities involving linear operators, with vector unknowns, iterative procedure

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1833733
https://doi.org/10.1023/a:1021031227000
https://link.springer.com/article/10.1023/A%3A1021031227000

A recursive approach to the solution of abstract linear equations and the tau method

Autoren: A. G. Paraskevopoulos

Quelle: Computers & Mathematics with Applications. 47:1753-1774

Schlagwörter: vector spaces, numerical examples, Recursive approach, Infinite-dimensional vector spaces, recursive approach, tau method, Theoretical approximation in context of PDEs, 01 natural sciences, Infinite matrices in echelon form, linear operator equations, Noether basis, Computational Mathematics, Computational Theory and Mathematics, Numerical solutions to equations with linear operators, Modelling and Simulation, Operator linear equations, infinite matrices, Abstract linear equations, Tau method, 0101 mathematics, Ortiz canonical basis

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2142426
https://doi.org/10.1016/j.camwa.2004.06.019
https://core.ac.uk/display/82579441
https://www.sciencedirect.com/science/article/pii/S0898122104839890#!
https://www.sciencedirect.com/science/article/pii/S0898122104839890

A bound on powers of linear operators, with relevance to numerical stability

Autoren: Driss Drissi M. N. Spijker N. Borovykh

Quelle: Applied Mathematics Letters. 15:47-53

Schlagwörter: resolvent condition, numerical analysis, heat equation, Heat equation, Applied Mathematics, Power bounded operators, Finite-difference scheme, Stability analysis, Crank-Nicholson method, power bounded operators, Norms (inequalities, more than one norm, etc.) of linear operators, stability analysis, 01 natural sciences, Crank-Nicolson method, Numerical solutions to equations with linear operators, finite-difference scheme, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Resolvent condition, Equations and inequalities involving linear operators, with vector unknowns, Numerical analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://dblp.uni-trier.de/db/journals/appml/appml15.html#BorovykhDS02
http://pub.math.leidenuniv.nl/~spijkermn/PUBLICATIONS-GENERAL/Borovich-Drissi-Spijk(2002)ApplMathLet-15_47-53.pdf
http://www.math.leidenuniv.nl/~spijker/PUBLICATIONS-GENERAL/Borovich-Drissi-Spijk(2002)ApplMathLet-15_47-53.pdf
https://www.sciencedirect.com/science/article/pii/S089396590100091X
https://www.sciencedirect.com/science/article/abs/pii/S089396590100091X

Necessary and sufficient conditions of convergence of finite-dimensional approximations for L-regularized solutions of operator equations: Necessary and sufficient conditions of convergence of finite-dimensional approximations for \(L\)-regularized solutions of operator equations

Autoren: V.P. Tanana

Quelle: jiip. 8:449-457

Schlagwörter: regularization, Hilbert spaces, Integro-ordinary differential equations, convergence, Numerical solutions of ill-posed problems in abstract spaces, Linear operators and ill-posed problems, regularization, finite-difference approximation method, integro-differential equation, Numerical solutions to equations with linear operators, ill-posed linear operator equations, \(L\)-regularized solution, Numerical methods for integral equations, Numerical methods for ill-posed problems for integral equations

Dateibeschreibung: application/xml

Zugangs-URL: https://www.degruyter.com/dg/viewarticle.layout.displayshoppingcartlink:shoppingcartinfolink?format=INT&t:ac=j$002fjiip.2000.8.issue-4$002fjiip.2000.8.4.449$002fjiip.2000.8.4.449.xml

Schauder bases in banach spaces: application to numerical solutions of differential equations: Schauder bases in Banach spaces: Application to numerical solutions of differential equations.

Autoren: V. Ramírez M. Ruiz Galán Antonio Palomares et al.

Quelle: Computers & Mathematics with Applications. 44:619-622

Schlagwörter: Numerical solution of boundary value problems involving ordinary differential equations, Differential equations, Banach space, tau method, 01 natural sciences, numerical example, Computational Mathematics, Computational Theory and Mathematics, Numerical solutions to equations with linear operators, Modelling and Simulation, Linear boundary value problems for ordinary differential equations, Tau method, 0101 mathematics, Approximation, Equations and inequalities involving linear operators, with vector unknowns, Schauder bases

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2017091
https://doi.org/10.1016/s0898-1221(02)00176-1
https://www.sciencedirect.com/science/article/pii/S0898122102001761
http://www.sciencedirect.com/science/article/pii/S0898122102001761
https://www.sciencedirect.com/science/article/pii/S0898122102001761#!

Discrete QMR and BCG in the numerical solution of linear systems of ODEs

Autoren: Elena Celledoni

Quelle: Journal of Computational and Applied Mathematics. 91:159-177

Schlagwörter: numerical examples, convergence, Applied Mathematics, Linear ordinary differential equations and systems, Hilbert space, GMRES, algorithms, Numerical methods for initial value problems involving ordinary differential equations, quasi-minimal residual method, 01 natural sciences, Computational Mathematics, Numerical solutions to equations with linear operators, Krylov subspace methods, 0101 mathematics, Equations and inequalities involving linear operators, with vector unknowns, biorthogonal Lanczos process

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/abs/pii/S0377042798000363
https://www.sciencedirect.com/science/article/pii/S0377042798000363

On the Numerical Solution of Linear Evolution Problems with an Integral Operator Coefficient: On the numerical solution of linear evolution problems with an integral operator coefficient

Autoren: Gavrilyuk, I. Makarov, V. Chapko, R.

Quelle: J. Integral Equations Appl. 11, no. 1 (1999), 37-56

Schlagwörter: 45L10, Cayley transform, explicit representation, 65R20, Abstract integral equations, integral equations in abstract spaces, Numerical methods for integral equations, Toeplitz matrix, Numerical methods for initial value problems involving ordinary differential equations, integral operator coefficient, 01 natural sciences, Numerical solutions to equations with linear operators, trigonometric interpolation quadrature, 0101 mathematics, 65M70, circulant matrix, 65J10, collocation, hypersingular integral equations, convergence, Fast Fourier Transform, linear evolution problems, fast Fourier transform, Linear differential equations in abstract spaces, error estimates, collocation methods, spectral property

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://zbmath.org/1626667
https://doi.org/10.1216/jiea/1181074261
https://projecteuclid.org/journals/journal-of-integral-equations-and-applications/volume-11/issue-1/On-the-Numerical-Solution-of-Linear-Evolution-Problems-with-an/10.1216/jiea/1181074261.full
https://projecteuclid.org/download/pdf_1/euclid.jiea/1181074261
http://projecteuclid.org/euclid.jiea/1181074261

Numerical solutions of fuzzy differential equations

Autoren: Menahem Friedman Ming Ma Abraham Kandel

Quelle: Fuzzy Sets and Systems. 105:133-138

Schlagwörter: fuzzy dynamical systems, Banach space, convergence, Numerical solutions to equations with nonlinear operators, Euler method, fuzzy numbers, 02 engineering and technology, Nonlinear differential equations in abstract spaces, Numerical methods for initial value problems involving ordinary differential equations, Linear differential equations in abstract spaces, stepsize selection, linear, Numerical solutions to equations with linear operators, error estimation, fuzzy differential equations, 0202 electrical engineering, electronic engineering, information engineering, nonlinear, fuzzy Cauchy problem, Stability and convergence of numerical methods for ordinary differential equations, Error bounds for numerical methods for ordinary differential equations

Dateibeschreibung: application/xml

An Invariant Preserving Sparse Spectral Discretization of the Continuum Equation.

Autoren: Ewen, Parker Jacobs, Henry O. Lymburner, Lucas et al.

Quelle: SIAM Journal on Applied Dynamical Systems. 2025, Vol. 24 Issue 3, p2405-2426. 22p.

Schlagwörter: *MATHEMATICAL models, CONSERVATION of mass, CONSERVATION laws (Mathematics), DYNAMICAL systems, COMPUTER simulation, TRANSPORT equation, SPECTRAL element method

On the approximation to solutions of operator equations by the least squares method

Autoren: M. L. Gorbachuk

Quelle: Functional Analysis and Its Applications. 39:71-75

Schlagwörter: orthonormal basis of eigenvectors, a priori estimate, least squares method, Hilbert space, coordinate system, 01 natural sciences, similar operator, smooth vector, analytic vector, closed operator, Numerical solutions to equations with linear operators, compact inverse, 0101 mathematics, Equations and inequalities involving linear operators, with vector unknowns, approximate solution, entire vector of exponential type, linear operator equation, entire vector

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2227988
https://doi.org/10.1007/s10688-005-0019-3
https://link.springer.com/article/10.1007/s10688-005-0019-3