A class of multiderivative hybrid one-step methods

DOI10.1007/s102550200049zbMath1024.65052OpenAlexW2010209443MaRDI QIDQ1862825

Xinming Chen, Aiguo Zhang, Fengjian Yang

Publication date: 30 November 2003

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s102550200049

zbMATH Keywords

algorithmsnumerical resultsinitial value problems\(A\)-stabilityimplicit method\(L\)-stabilityhybrid one-step 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• On Higher Order Stable Implicit Methods for Solving Parabolic Partial Differential Equations
• Discretization Errors for Well‐Set Cauchy Problems. I.
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