An explicit method of the second order of accuracy for solving stiff systems of ordinary differential equations

zbMath0962.65056MaRDI QIDQ1589396

V. I. Lebedev, Alexei A. Medovikov

Publication date: 14 June 2001

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilitystiff systemssecond-order accuracyexplicit methodsZolotarov's polynomials

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Essentially optimal explicit Runge-Kutta methods with application to hyperbolic-parabolic equations, Efficient implementation of second-order implicit Runge-Kutta methods, Embedded symmetric nested implicit Runge-Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems