On the Instability of the BDF Formulas

DOI10.1137/0720090zbMath0538.65051OpenAlexW1989988324MaRDI QIDQ3324956

Ernst Hairer, Gerhard Wanner

Publication date: 1983

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6c30ae3f73acc393ae2d18ddfaadb5609ecadc6e

zbMATH Keywords

instabilitystiff differential equationsbackward difference formulas

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (6)

Difference Methods for the Numerical Solution of Time-Varying Singular Systems of Differential Equations ⋮ Upscaling of reactive flows in domains with moving oscillating boundaries ⋮ Linear multi-step methods for first kind first order volterra integro-differential equations ⋮ Optimal subsets in the stability regions of multistep methods ⋮ Backward differentiation formulae with nonnegative coefficients for solving initial value problems ⋮ Behind and beyond the MATLAB ODE suite

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