Recursive form of Sobolev gradient method for ODEs on long intervals
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Publication:3543519
DOI10.1080/00207160701558465zbMath1154.65061OpenAlexW2080465353MaRDI QIDQ3543519
Sultan Sial, D. Mujeeb, John W. Neuberger
Publication date: 4 December 2008
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160701558465
algorithmnumerical examplesinitial-value problemsSobolev gradient methodvan der Pol's equationequation for flame-size
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)
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Cites Work
- On the recovery of transport parameters in groundwater modelling
- Preconditioning operators and Sobolev gradients for nonlinear elliptic problems
- Sobolev gradient preconditioning for the electrostatic potential equation
- Energy minimization using Sobolev gradients: application to phase separation and ordering.
- A quasi-local Gross-Pitaevskii equation for attractive Bose-Einstein condensates
- A variational approach to an elastic inverse problem
- Steepest descent using smoothed gradients