By Fritz Schwarz

ISBN-10: 158488889X

ISBN-13: 9781584888895

although Sophus Lie's thought used to be nearly the single systematic approach for fixing nonlinear traditional differential equations (ODEs), it used to be infrequently used for useful difficulties a result of immense volume of calculations concerned. yet with the arrival of desktop algebra courses, it grew to become attainable to use Lie thought to concrete difficulties. Taking this process, Algorithmic Lie idea for fixing usual Differential Equations serves as a beneficial advent for fixing differential equations utilizing Lie's concept and similar results.

After an introductory bankruptcy, the e-book offers the mathematical beginning of linear differential equations, protecting Loewy's conception and Janet bases. the next chapters current effects from the speculation of continuing teams of a 2-D manifold and speak about the shut relation among Lie's symmetry research and the equivalence challenge. The middle chapters of the publication determine the symmetry periods to which quasilinear equations of order or 3 belong and rework those equations to canonical shape. the ultimate chapters remedy the canonical equations and bring the overall recommendations every time attainable in addition to offer concluding feedback. The appendices include options to chose workouts, necessary formulae, homes of beliefs of monomials, Loewy decompositions, symmetries for equations from Kamke's assortment, and a short description of the software program process 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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