Numerical integration of stiff systems with low accuracy

DOI10.1134/S2070048210040046zbMath1212.65263OpenAlexW1989641102MaRDI QIDQ3578694

Anton E. Novikov, Evgeny A. Novikov

Publication date: 20 July 2010

Published in: Mathematical Models and Computer Simulations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070048210040046

zbMATH Keywords

algorithmnumerical examplesextrapolation methodsmultistepvariable ordersimplicit Runge-Kutta schemes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Related Items (3)

An algorithm of variable structure based on three-stage explicit-implicit methods ⋮ Estimating the domain of absolute stability of a numerical scheme based on the method of solution continuation with respect to a parameter for solving stiff initial value problems ⋮ Efficient implementation of second-order implicit Runge-Kutta methods

Cites Work

• Stiff ODE solvers: A review of current and coming attractions
• Some general implicit processes for the numerical solution of differential equations
• Comparing numerical methods for stiff systems of O.D.E:s
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