An algorithm of variable structure based on three-stage explicit-implicit methods
DOI10.17377/semi.2017.14.036zbMath1373.65049MaRDI QIDQ2403671
Anton E. Novikov, Mikhail Viktorovich Rybkov, Evgeny A. Novikov
Publication date: 11 September 2017
Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)
numerical resultsone-step methodstiff problemRosenbrock methodaccuracy and stability controlalgorithm of variable structureRunge-Kutta-type scheme
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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)
Uses Software
Cites Work
- \((2,1)\)-method for solving stiff nonautonomous problems
- Numerical integration of stiff systems with low accuracy
- Some general implicit processes for the numerical solution of differential equations
- Comparing numerical methods for stiff systems of O.D.E:s
- A special stability problem for linear multistep methods
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