Computer-assisted enclosure methods for elliptic differential equations-Reference-Cited by-同舟云学术

Computer-assisted enclosure methods for elliptic differential equations

Published:2001-02 Issue:1-3 Volume:324 Page:147-187
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Plum Michael

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference28 articles.

1. Sobolev Spaces;Adams,1975

2. H. Behnke, F. Goerisch, Inclusions for eigenvalues of self-adjoint problems, in: J. Herzberger (Ed.), Topics in Validated Computations, Elsevier, Amsterdam, 1994, pp. 277–322

3. B. Breuer, Lösungseinschließungen bei einem nichtlinearen Randwertproblem mittels eines Fourierreihenansatzes, Diploma thesis, University of Karlsruhe, 1998

4. F. Brunk, Existenz und Einschließung bei Systemen von Zweipunkt-Randwertaufgaben, Doctoral dissertation, Technical University of Clausthal, 1997

5. A mountain pass method for the numerical solution of semilinear elliptic problems;Choi;Nonlinear Anal.: Theory, Methods Appl.,1993

Cited by 47 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Computer-assisted proofs for the many steady states of a chemotaxis model with local sensing;Physica D: Nonlinear Phenomena;2024-10

2. Global dynamics in nonconservative nonlinear Schrödinger equations;Advances in Mathematics;2022-03

3. Rigorous Numerical Enclosures for Positive Solutions of Lane–Emden’s Equation with Sub-Square Exponents;Numerical Functional Analysis and Optimization;2022-02-17

4. Numerical Verification Method of Solutions for Elliptic Variational Inequalities;Simulation Modeling;2022-01-19

5. Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems;Computers & Mathematics with Applications;2022-01