W-Methods with Automatic Partitioning by Krylov Techniques for Large Stiff Systems

DOI10.1137/0732010zbMath0820.65043OpenAlexW1976412545MaRDI QIDQ4326871

Mario Büttner, Bernhard A. Schmitt, Rüdiger Weiner

Publication date: 17 September 1995

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0732010

zbMATH Keywords

numerical testsimplementationKrylov subspacesstiff initial value problems\(W\)-methodslarge stiff systemsautomatic partitioningKrylov-Arnoldi methodsingle-step multistage method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) 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) Multiple scale methods for ordinary differential equations (34E13)

Related Items (7)

Matrix-free \(W\)-methods using a multiple Arnoldi iteration ⋮ ROWMAP -- a ROW-code with Krylov techniques for large stiff ODEs ⋮ W-methods in optimal control ⋮ Subspace adaptivity in Rosenbrock-Krylov methods for the time integration of initial value problems ⋮ Order results for Krylov-\(W\)-methods ⋮ Equilibrium attractivity of Krylov-\(W\)-methods for nonlinear stiff ODEs ⋮ Automatic partitioning in linearly-implicit Runge-Kutta methods

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