Read e-book online Algorithmic Lie Theory for Solving Ordinary Differential PDF

By Fritz Schwarz

ISBN-10: 158488889X

ISBN-13: 9781584888895

although Sophus Lie's idea used to be almost the single systematic approach for fixing nonlinear usual differential equations (ODEs), it used to be infrequently used for functional difficulties as a result of the huge quantity of calculations concerned. yet with the appearance of desktop algebra courses, it turned attainable to use Lie thought to concrete difficulties. Taking this strategy, Algorithmic Lie thought for fixing traditional Differential Equations serves as a invaluable advent for fixing differential equations utilizing Lie's conception and comparable results.

After an introductory bankruptcy, the ebook offers the mathematical origin 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 talk 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 remodel those equations to canonical shape. the ultimate chapters resolve the canonical equations and bring the overall suggestions every time attainable in addition to supply concluding comments. The appendices comprise ideas to chose routines, beneficial formulae, homes of beliefs of monomials, Loewy decompositions, symmetries for equations from Kamke's assortment, and a quick description of the software program process ALLTYPES for fixing concrete algebraic problems.

Show description

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

Similar number systems books

Olof Widlund,David E. Keyes's Domain Decomposition Methods in Science and Engineering XVI: PDF

Area decomposition is an lively examine quarter serious about the advance, research, and implementation of coupling and decoupling techniques in mathematical and computational types of typical and engineered structures. the current quantity units forth new contributions in parts of numerical research, machine technology, clinical and commercial purposes, and software program improvement.

Read e-book online High Performance Computing in Science and Engineering ‘13: PDF

This publication provides the cutting-edge in simulation on supercomputers. prime researchers current effects accomplished on structures of the excessive functionality Computing middle Stuttgart (HLRS) for the yr 2013. The reviews disguise all fields of computational technology and engineering starting from CFD through computational physics and chemistry to desktop technology with a unique emphasis on industrially correct purposes.

Hemodynamical Flows: Modeling, Analysis and Simulation: 37 - download pdf or read online

This publication surveys study effects at the actual and mathematical modeling, in addition to the numerical simulation of advanced fluid and structural mechanical tactics taking place within the human blood circulate approach. themes handled comprise continuum mechanical description; collection of appropriate liquid and wall types; mathematical research of coupled types; numerical equipment for move simulation; parameter id and version calibration; fluid-solid interplay; mathematical research of piping platforms; particle shipping in channels and pipes; synthetic boundary stipulations, and lots of extra.

Download e-book for iPad: Analysis and Numerics for Conservation Laws by Gerald Warnecke

Whatdoasupernovaexplosioninouterspace,? owaroundanairfoil and knocking in combustion engines have in universal? The actual and chemical mechanisms in addition to the sizes of those approaches are really di? erent. So are the motivations for learning them scienti? cally. The large- eight nova is a thermo-nuclear explosion on a scale of 10 cm.

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

Example text

Download PDF sample

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

by Charles

Rated 4.07 of 5 – based on 18 votes