Toward non commutative numerical analysis: High order integration in time

DOI10.1023/A:1015140328635zbMath0999.65095MaRDI QIDQ1610520

Michelle Schatzman

Publication date: 20 August 2002

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

stabilitydomain decompositionpreconditioningreaction-diffusion systemoperator splittingtime integrationextrapolationRunge-Kutta methodsnumerical efficiencyhigh precision

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (4)

Solution of pattern waves for diffusive Fisher-like non-linear equations with adaptive methods ⋮ Spline approximation method to solve an option pricing problem ⋮ An efficient numerical scheme for precise time integration of a diffusion-dissolution/precipitation chemical system ⋮ Theoretical analysis and physical interpretation of temporal truncation errors in operator split algorithms

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