Solving stiff differential equations with the method of patches

DOI10.1006/jcph.1998.6008zbMath0923.65041OpenAlexW2170676676MaRDI QIDQ1287144

K. Appert

Publication date: 15 October 1999

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1998.6008

zbMATH Keywords

stiff systemsnonlinearleast squares fittingpiecewise linearmethod of matches

Mathematics Subject Classification ID

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

Related Items (1)

Exponential integrators for stiff elastodynamic problems

Uses Software

• CVODE

Cites Work

• Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. I: The dynamics of time discretization and its implications for algorithm development in computational fluid dynamics
• Unconditionally stable explicit algorithms for nonlinear fluid dynamics problems
• A matricial exponentially fitted scheme for the numerical solution of stiff initial-value problems
• Stiff ODE solvers: A review of current and coming attractions
• The numerical solution of systems of linear ordinary differential equations with constant coefficients
• The product formula algorithm applied to linear and radiation diffusion
• On a new time integration method for solving time dependent partial differential equations
• The method of local linearization in the numerical solution of stiff systems of ordinary differential equations
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• Avoiding the Jordan Canonical Form in the Discussion of Linear Systems with Constant Coefficients
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