The existence of stepsize-coefficients for boundedness of linear multistep methods

DOI10.1016/j.apnum.2012.09.005zbMath1255.65136OpenAlexW2147624138MaRDI QIDQ1932641

Marc N. Spijker

Publication date: 21 January 2013

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.09.005

zbMATH Keywords

monotonicityboundednesslinear multistep methodtotal-variation-diminishingstrong-stability-preservingtotal-variation-bounded

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (5)

Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space ⋮ Optimal subsets in the stability regions of multistep methods ⋮ Exact optimal values of step-size coefficients for boundedness of linear multistep methods ⋮ Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs ⋮ Stability and boundedness in the numerical solution of initial value problems

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