Download e-book for iPad: Algorithmic Lie Theory for Solving Ordinary Differential by Fritz Schwarz

By Fritz Schwarz

although Sophus Lie's conception used to be almost the single systematic technique for fixing nonlinear usual differential equations (ODEs), it was once infrequently used for functional difficulties as a result of the tremendous quantity of calculations concerned. yet with the arrival of computing device algebra courses, it grew to become attainable to use Lie concept to concrete difficulties. Taking this method, Algorithmic Lie concept for fixing traditional Differential Equations serves as a precious creation for fixing differential equations utilizing Lie's idea and similar results.

After an introductory bankruptcy, the publication presents the mathematical starting place of linear differential equations, protecting Loewy's idea and Janet bases. the next chapters current effects from the speculation of constant 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 e-book establish the symmetry sessions 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 final ideas at any time when attainable in addition to offer concluding feedback. The appendices include suggestions 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.

Show description

Read or Download Algorithmic Lie Theory for Solving Ordinary Differential Equations (Chapman & Hall/CRC Pure and Applied Mathematics) PDF

Similar number systems books

Get Numerical Methods for Ordinary Differential Equations: PDF

Numerical tools for traditional Differential Equations is a self-contained creation to a primary box of numerical research and clinical computation. Written for undergraduate scholars with a mathematical historical past, this publication makes a speciality of the research of numerical tools with out wasting sight of the sensible nature of the topic.

Read e-book online Linear and Generalized Linear Mixed Models and Their PDF

This booklet covers significant periods of combined results types, linear combined versions and generalized linear combined versions. It offers an updated account of thought and techniques in research of those types in addition to their functions in numerous fields. The booklet deals a scientific method of inference approximately non-Gaussian linear combined versions.

Ralf Kornhuber,Ronald W. Hoppe,Jacques Périaux,Olivier's Domain Decomposition Methods in Science and Engineering: 40 PDF

Area decomposition is an lively, interdisciplinary examine region that's dedicated to the advance, research and implementation of coupling and decoupling techniques in arithmetic, computational technology, engineering and undefined. a chain of foreign meetings beginning in 1987 set the degree for the presentation of many in the meantime classical effects on substructuring, block iterative tools, parallel and disbursed excessive functionality computing and so on.

Download e-book for iPad: Perturbation Methods and Semilinear Elliptic Problems on by Antonio Ambrosetti,Andrea Malchiodi

Numerous vital difficulties coming up in Physics, Di? erential Geometry and different n issues bring about give some thought to semilinear variational elliptic equations on R and loads of paintings has been dedicated to their learn. From the mathematical viewpoint, the most curiosity is determined by the truth that the instruments of Nonlinear useful research, in keeping with compactness arguments, often can't be used, a minimum of in a simple method, and a few new strategies must be built.

Additional resources for Algorithmic Lie Theory for Solving Ordinary Differential Equations (Chapman & Hall/CRC Pure and Applied Mathematics)

Sample text

Download PDF sample

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

by Mark

Rated 4.37 of 5 – based on 18 votes