Equilibrium attractivity of Krylov-\(W\)-methods for nonlinear stiff ODEs

DOI10.1007/BF02512374zbMath0907.65071OpenAlexW2056578614MaRDI QIDQ1267029

Rüdiger Weiner, Bernhard A. Schmitt

Publication date: 18 February 1999

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02512374

zbMATH Keywords

stiff ordinary differential equationsKrylov-\(W\)-methodsequilibrium attractivitysemilinear ordinary differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Multiple scale methods for ordinary differential equations (34E13)

Related Items (5)

ROWMAP -- a ROW-code with Krylov techniques for large stiff ODEs ⋮ Construction of highly stable two-step W-methods for ordinary differential equations ⋮ Equilibrium attractive properties of a class of multistep Runge-Kutta methods ⋮ Order results for Krylov-\(W\)-methods ⋮ Polynomial preconditioning in Krylov-ROW-methods

Uses Software

• ROWMAP

Cites Work

• Norm bounds for rational matrix functions
• A study of Rosenbrock-type methods of high order
• On the stability of semi-implicit methods for ordinary differential equations
• ROWMAP -- a ROW-code with Krylov techniques for large stiff ODEs
• Matrix-free \(W\)-methods using a multiple Arnoldi iteration
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• An Attempt to Avoid Exact Jacobian and Nonlinear Equations in the Numerical Solution of Stiff Differential Equations
• The Concept of B-Convergence
• Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
• Efficient Solution of Parabolic Equations by Krylov Approximation Methods
• Model Problems in Numerical Stability Theory for Initial Value Problems
• W-Methods with Automatic Partitioning by Krylov Techniques for Large Stiff Systems
• On the Lanczos Method for Solving Symmetric Linear Systems with Several Right-Hand Sides
• Matrix-Free Methods for Stiff Systems of ODE’s
• Unnamed Item

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