Time stepping via one-dimensional Padé approximation
DOI10.1007/s10915-005-9021-4zbMath1115.65088OpenAlexW2014857598MaRDI QIDQ878143
Oscar P. Bruno, David E. Amundsen
Publication date: 26 April 2007
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-005-9021-4
stabilityconvergencePadé approximationordinary differential equationstiff equationsexplicit methodstiff differential equationevolution partial differential equationPadé time stepping
Nonlinear parabolic equations (35K55) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Cites Work
- Rational Runge-Kutta methods are not suitable for stiff systems of ODEs
- Convergence properties of the Runge-Kutta-Chebyshev method
- Unconditionally stable explicit methods for parabolic equations
- Nonlinear methods in solving ordinary differential equations
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