GEOMETRIC INTEGRATION BY SOLUTION INTERPOLATION

DOI10.1142/S0129183109013637zbMath1171.65062MaRDI QIDQ3631082

Pilwon Kim

Publication date: 5 June 2009

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

zbMATH Keywords

finite difference methodnumerical examplesexact solutionsnonlinear heat equationgeometric integrationpolynomial interpolationlinear convection equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05) Initial value problems for second-order parabolic equations (35K15) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

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• A general class of finite-difference methods for the linear transport equation
• A First Course in the Numerical Analysis of Differential Equations
• Geometric integration: numerical solution of differential equations on manifolds
• FINITE DIFFERENCE MODELS ENTIRELY INHERITING CONTINUOUS SYMMETRY OF ORIGINAL DIFFERENTIAL EQUATIONS
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Geometric integrators for ODEs
• Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems
• Geometric foundations of numerical algorithms and symmetry

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