Approximation of the Jacobian matrix in \((m, 2)\)-methods for solving stiff problems

DOI10.1134/S0965542511120153zbMATH Open1249.65149OpenAlexW2471616582MaRDI QIDQ2901128

E. A. Novikov

Publication date: 16 July 2012

Published in: Zhurnal Vychislitel'noĭ Matematiki i Matematicheskoĭ Fiziki (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542511120153

zbMATH Keywords

algorithmsnumerical resultsinitial value problemstiff systemsJacobian matrixvariable step size\(L\)-stabilityfirst-order ordinary differential equations\((m, k)\)-methods

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical methods for stiff equations (65L04)

Related Items (2)

A method of approximating stiffness matrices for some pseudodifferential equations ⋮ optimum modified extrapolated jacobi method for some class of matrices

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