Diagonally implicit block backward differentiation formulas for solving ordinary differential equations

DOI10.1155/2012/767328zbMath1257.65044OpenAlexW2128676113WikidataQ58705078 ScholiaQ58705078MaRDI QIDQ1925565

Yanyan Li

Publication date: 18 December 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/767328

zbMATH Keywords

stabilityfirst-order initial value problemsdiagonally implicit two-point block backward differentiation formulas

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)

Related Items

Diagonal block method for solving two-point boundary value problems with Robin boundary conditions

Uses Software

• MEBDF

Cites Work

• The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae
• A numerical ODE solver that preserves the fixed points and their stability
• Implicit \(r\)-point block backward differentiation formula for solving first-order stiff ODEs
• Implementation of four-point fully implicit block method for solving ordinary differential equations
• Parallel Solution of ODE’<scp>s</scp> by Multiblock Methods
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• Block Implicit One-Step Methods