New PDF release: Algorithmic Lie Theory for Solving Ordinary Differential

By Fritz Schwarz

even though Sophus Lie's conception was once almost the one systematic process for fixing nonlinear traditional differential equations (ODEs), it was once hardly ever used for sensible difficulties a result of significant quantity of calculations concerned. yet with the appearance of laptop algebra courses, it turned attainable to use Lie idea to concrete difficulties. Taking this method, Algorithmic Lie thought for fixing traditional Differential Equations serves as a precious advent for fixing differential equations utilizing Lie's idea and comparable results.

After an introductory bankruptcy, the e-book presents the mathematical beginning of linear differential equations, masking Loewy's concept and Janet bases. the subsequent chapters current effects from the idea of continuing teams of a 2-D manifold and talk about the shut relation among Lie's symmetry research and the equivalence challenge. The center chapters of the booklet establish the symmetry periods to which quasilinear equations of order or 3 belong and rework those equations to canonical shape. the ultimate chapters resolve the canonical equations and convey the overall recommendations at any time when attainable in addition to supply concluding feedback. The appendices include recommendations to chose routines, worthwhile formulae, houses of beliefs of monomials, Loewy decompositions, symmetries for equations from Kamke's assortment, and a quick description of the software program procedure ALLTYPES for fixing concrete algebraic problems.

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Algorithmic Lie Theory for Solving Ordinary Differential Equations (Chapman & Hall/CRC Pure and Applied Mathematics) by Fritz Schwarz

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