Preserving Constraints of Differential Equations by Numerical Methods Based on Integrating Factors

DOI10.3970/cmes.2006.012.083zbMath1232.65137OpenAlexW129160944MaRDI QIDQ3117513

Chein-Shan Liu

Publication date: 27 February 2012

Full work available at URL: https://doi.org/10.3970/cmes.2006.012.083

zbMATH Keywords

Minkowski spaceconesnonlinear dynamical systemintegrating factorsgroup preserving schemepreserving constraints

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (9)

Solving nonlinear differential algebraic equations by an implicit \(GL(n, \mathbb R)\) Lie-group method ⋮ A composite method based on delta‐shaped basis functions and Lie group high‐order geometric integrator for solving Kawahara‐type equations ⋮ A combination of Lie group-based high order geometric integrator and delta-shaped basis functions for solving Korteweg–de Vries (KdV) equation ⋮ A simple spatial integration scheme for solving Cauchy problems of non-linear evolution equations ⋮ A highly accurate LGSM for severely ill-posed BHCP under a large noise on the final time data ⋮ A multiple-direction Trefftz method for solving the multi-dimensional wave equation in an arbitrary spatial domain ⋮ An implicit Lie-group iterative scheme for solving the nonlinear Klein-Gordon and sine-Gordon equations ⋮ A Lie-group \(\mathrm{DSO}(n)\) method for nonlinear dynamical systems ⋮ The polynomial Trefftz method for solving backward and inverse source wave problems

Uses Software

• MANPAK

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