A \(C^ 1\) interpolant for codes based on backward differentiation formulae

DOI10.1016/0168-9274(86)90020-6zbMath0615.65077OpenAlexW4248553616MaRDI QIDQ1820562

Martin Berzins

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0168-9274(86)90020-6

zbMATH Keywords

Numerical examplesNAG Libraryfixed-step backward differentiation formulaNordsieck vector

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (6)

An algorithm for ODEs from atmospheric dispersion problems ⋮ On spatial adaptivity and interpolation when using the method of lines ⋮ A smooth output interpolation process for BDF codes ⋮ Oscillatory combustion in closed vessels under microgravity. ⋮ Developing software for time-dependent problems using the method of lines and differential-algebraic integrators ⋮ Numerical approaches for solutions of differential equations on manifolds

Uses Software

• SPRINT2D
• DASSL

Cites Work

• Unnamed Item
• An adaptive theta method for the solution of stiff and nonstiff differential equations
• Developing software for time-dependent problems using the method of lines and differential-algebraic integrators
• Smoother Interpolants for Adams Codes
• Implementation of Implicit Formulas for the Solution of ODE<scp>s</scp>
• Comparing numerical methods for stiff systems of O.D.E:s
• A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
• Limiting Precision in Differential Equation Solvers. II: Sources of Trouble and Starting a Code
• The automatic integration of ordinary differential equations
• Optimality in a Class of Rootfinding Algorithms

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