Symmetry and Integration Methods for Differential Equations

; Stephen Anco

Serie: Applied Mathematical Sciences 154

This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. Les mer
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Om boka

This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This new edition covers contact transformations, Lie-B cklund transformations, and adjoints and integrating factors for ODEs of arbitrary order.

Fakta

Innholdsfortegnelse

Introduction * Dimensional Analysis, Modeling, and Invariance * Lie Groups of Transformations and Infinitesimal Transformations * Ordinary Differential Equations (ODEs) * Partial Differential Equations (PDEs) * References * Author Index * Subject Index