Exploiting the separability in the solution of systems of linear ordinary differential equations

DOI10.1016/0898-1221(89)90237-XzbMath0683.65052OpenAlexW2000455180MaRDI QIDQ1824998

Åke Björck, Zahari Zlatev

Publication date: 1989

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(89)90237-x

zbMATH Keywords

separabilitystiff systemstest examplesfirst order systemRunge-Kutta formula

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Uses Software

• LINPACK
• ODEPACK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Direct methods for sparse matrices
• A block QR algorithm for partitioning stiff differential systems
• Exploiting the sparsity in the solution of linear ordinary differential equations
• On transformations of graded matrices, with applications to stiff ODE's
• Dichotomy and conjugate gradients in the stiff initial value problem
• Numerical solution of the atmospheric diffusion equation for chemically reacting flows
• Remarks on the stability of high-index DAEs with respect to parametric perturbations
• Jacobian Matrix Properties and Their Impact on Choice of Software for Stiff ODE Systems
• Iterative Solution of Linear Equations in ODE Codes
• The Numerical Solution of Separably Stiff Systems by Precise Partitioning
• The Use of Iterative Linear-Equation Solvers in Codes for Large Systems of Stiff IVP<scp>s</scp> for ODE<scp>s</scp>
• Automatic Partitioning of Stiff Systems and Exploiting the Resulting Structure
• Modified Diagonally Implicit Runge–Kutta Methods
• Comparing numerical methods for stiff systems of O.D.E:s
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• Basic Linear Algebra Subprograms for Fortran Usage
• Matrix-Free Methods for Stiff Systems of ODE’s

This page was built for publication: Exploiting the separability in the solution of systems of linear ordinary differential equations