Construction of Variable-Stepsize Multistep Formulas
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Publication:3750935
DOI10.2307/2008169zbMath0611.65048OpenAlexW2011977699MaRDI QIDQ3750935
Publication date: 1986
Full work available at URL: https://doi.org/10.2307/2008169
local error estimationAdamsvariable-orderNordsieckbackward-differentiation formulasfirst Dahlquist barriermultistep formulafixed leading coefficientfixed-coefficientminimum storage variable-stepsize formulavariable- coefficient
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)
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The second-order backward differentiation formula is unconditionally zero-stable ⋮ On spatial adaptivity and interpolation when using the method of lines ⋮ Constant coefficient linear multistep methods with step density control ⋮ A new stepsize change technique for Adams methods ⋮ Two high-order multistep methods with offstep points applied with a variable stepsize ⋮ Computable explicit bounds for the discretization error of variable stepsize multistep methods ⋮ Adaptive time-stepping and computational stability ⋮ Variable multistep methods for delay differential equations ⋮ A collocation formulation of multistep methods for variable step-size extensions
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