Diagonal Padé Approximations for Initial Value Problems

DOI10.1137/0909055zbMath0656.65057OpenAlexW2069525762MaRDI QIDQ3804093

Lee Ratzan, M. F. Reusch, Wonchull Park, Neil Pomphrey

Publication date: 1988

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc1099104/

zbMATH Keywords

numerical examplecomparison of methodsheat equationPadé methodEuler methodCrank-Nicolson methodexponentialRunge- Kutta methodshomogeneous autonomous linear operator initial value problemimplicit Padé diagonal approximation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (10)

Incomplete partial fractions for parallel evaluation of rational matrix functions ⋮ Parallel LOD methods for second order time dependent PDEs ⋮ Finding leading modes of a viscous free surface flow: An asymmetric generalized eigenproblem ⋮ On the preservation of second integrals by Runge-Kutta methods ⋮ High-order composite implicit time integration schemes based on rational approximations for elastodynamics ⋮ Time-stepping algorithms for semidiscretized linear parabolic PDEs based on rational approximants with distinct real poles ⋮ A family of third-order parallel splitting methods for parabolic partial differential equations ⋮ Methods for the numerical integration of Hamiltonian systems ⋮ High-order implicit time integration scheme based on Padé expansions ⋮ Numerical solution of Burgers' equation with factorized diagonal Padé approximation

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