A class of one-step one-stage methods for stiff systems of ordinary differential equations

DOI10.1134/S0965542511070050zbMath1249.65144MaRDI QIDQ2898216

S. S. Filippov, A. V. Tygliyan, Mikhail Valer'yanovich Bulatov

Publication date: 16 July 2012

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

numerical resultsinitial value problemstiff systems\(A\)-stability\(L\)-stabilitylinear-implicit methodsone-step one-stage methods (\(ABC\)-schemes)

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) Numerical methods for stiff equations (65L04)

Related Items (5)

Decomposition of the Problem in the Numerical Solution of Differential-Algebraic Systems for Chemical Reactions with Partial Equilibria ⋮ Features of behavior of numerical methods for solving Volterra integral equations of the second kind ⋮ 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 ⋮ Implicit Runge-Kutta methods with explicit internal stages

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