Two-Parameter, Arbitrary Order, Exponential Approximations for Stiff Equations

DOI10.2307/2005568zbMath0302.65059OpenAlexW4247623824MaRDI QIDQ4057496

Zdenek Picel, Byron L. Ehle

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2005568

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (14)

Error control of rational approximations to the exponential function ⋮ An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system ⋮ Order stars and rational approximants to exp(z) ⋮ Some recent developments on numerical initial value problems: A survey ⋮ Dahlquist's barriers and much beyond ⋮ Note onA-stability of multistep multiderivative methods ⋮ A note on implicitA-stableR-K methods with parameters ⋮ On certain order constrained Chebyshev rational approximations ⋮ An Efficient Fourth Order Implicit Runge-Kutta Algorithm for Second Order Systems ⋮ An efficient implicit Runge-Kutta method for second order systems ⋮ A-acceptable exponentially fitted combinations of three Padé approximations ⋮ Rational approximations of trigonometric matrices with application to second-order systems of differential equations ⋮ On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems ⋮ A-acceptability of derivatives of rational approximations to EXP(Z)

Cites Work

• On Higher Order Stable Implicit Methods for Solving Parabolic Partial Differential Equations
• Generalized Runge-Kutta Processes for Stiff Initial-value Problems†
• High order a-stable methods for the numerical solution of systems of D.E.'s
• The Root Locus Method: A Survey
• Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants
• A-Stable Methods and Padé Approximations to the Exponential
• A-stable block implicit one-step methods
• Some A-Stable Methods for Stiff Ordinary Differential Equations
• A-stable Runge-Kutta processes
• High order stiffly stable composite multistep methods for numerical integration of stiff differential equations
• Implicit Runge-Kutta Processes
• A special stability problem for linear multistep methods
• A Generalization of Taylor's Expansion

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