On variable step Hermite-Birkhoff solvers combining multistep and 4-stage DIRK methods for stiff ODEs
DOI10.1007/s11075-015-0027-1zbMath1338.65191OpenAlexW1643578649MaRDI QIDQ281474
Publication date: 11 May 2016
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-015-0027-1
algorithmstabilitynumerical examplecomparison of methodsRunge-Kutta methodbackward differentiation formulaestepsize controlconfluent Vandermonde-type systemsendpoint errorHermite-Birkhoff methodlocal error estimatormethod for stiff ODEsmultistepnumber of stepsstiff DETEST problems
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) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical methods for stiff equations (65L04)
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Cites Work
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