A class of multistep methods based on a super-future points technique for solving IVPs

DOI10.1016/j.camwa.2011.04.026zbMath1222.65065OpenAlexW2050807880MaRDI QIDQ640531

Moosa Ebadi

Publication date: 18 October 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.04.026

zbMATH Keywords

A-stabilitystiff systemsgeneral multistep methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Related Items (7)

New class of hybrid explicit methods for numerical solution of optimal control problems ⋮ A class of two stage multistep methods in solutions of time dependent parabolic PDEs ⋮ Unnamed Item ⋮ G-stability one-leg hybrid methods for solving DAEs ⋮ High order extended boundary value methods for the solution of stiff systems of ODEs ⋮ Solving nonlinear parabolic PDEs via extended hybrid BDF methods ⋮ Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs

Uses Software

• MEBDF
• A-EBDF

Cites Work

• Class 2 + 1 hybrid BDF-like methods for the numerical solutions of ordinary differential equations
• The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae
• A-EBDF: An adaptive method for numerical solution of stiff systems of ODEs
• On the integration of stiff systems of O.D.E.s using extended backward differentiation formulae
• A sixth-order \(A\)-stable explicit one-step method for stiff systems
• Modified extended backward differentiation formulae for the numerical solution of stiff initial value problems in ODEs and DAEs
• The NUMOL solution of time-dependent PDEs using DESI Runge-Kutta formulae
• IMEX Runge-Kutta schemes for reaction-diffusion equations
• Solving Nonlinear Equations with Newton's Method
• Balancing Space and Time Errors in the Method of Lines for Parabolic Equations
• Hybrid BDF methods for the numerical solutions of ordinary differential equations

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