Multi-Adaptive Galerkin Methods for ODEs II: implementation and Applications

DOI10.1137/S1064827501389734zbMath1073.65078arXiv1205.3157OpenAlexW3103879022MaRDI QIDQ4442515

Anders Logg

Publication date: 20 January 2004

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3157

zbMATH Keywords

Burgers' equation\(n\)-body problemsolar systemLorenz systemstiff problemsglobal error controlindividual time-stepslocal time-stepsdiagonal Newton methodmulti-adaptive Galerkin methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) (n)-body problems (70F10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (8)

A multirate time stepping strategy for stiff ordinary differential equations ⋮ A posteriori error analysis of round-off errors in the numerical solution of ordinary differential equations ⋮ An adaptive finite element splitting method for the incompressible Navier-Stokes equations ⋮ Multi-adaptive time integration. ⋮ Multirate timestepping methods for hyperbolic conservation laws ⋮ Automating the finite element method ⋮ A posteriori analysis of a multirate numerical method for ordinary differential equations ⋮ Nonlinear Krylov and moving nodes in the method of lines

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