Global Error Estimation in the Method of Lines for Parabolic Equations
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Publication:3809159
DOI10.1137/0909045zbMath0659.65081OpenAlexW2017450950MaRDI QIDQ3809159
Publication date: 1988
Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0909045
Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items (9)
A posteriori error estimation with finite element methods of lines for one-dimensional parabolic systems ⋮ Generalizing global error estimation for ordinary differential equations by using coupled time-stepping methods ⋮ A static-regridding method for two-dimensional parabolic partial differential equations ⋮ On asymptotic global error estimation and control of finite difference solutions for semilinear parabolic equations ⋮ ONSET OF SYMMETRY BREAKING BY THE FUNCTIONAL RG METHOD ⋮ Experiments with a local adaptive grid \(h\)-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs ⋮ A comparison of AMF- and Krylov-methods in Matlab for large stiff ODE systems ⋮ A numerical solution of Burgers' equation by pseudospectral method and Darvishi's preconditioning ⋮ A posteriori error estimation and adaptivity in the method of lines with mixed finite elements.
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