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.

Show description

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

Best number systems books

Download PDF by Siegfried Wagner,Werner Hanke,Arndt Bode,Franz Durst: High Performance Computing in Science and Engineering,

High-Performance desktops (HPC) have initiated a innovative boost­ ment in examine and know-how seeing that many advanced and hard prob­ lems during this zone can in basic terms be solved by way of HPC and a community in modeling, algo­ rithms and software program. In 1998 the Deutsche Forschungsgemeinschaft (German examine organization) instructed to put in an extra Federal excessive­ functionality machine via the only in Stuttgart.

Get Algorithms and Theory of Computation Handbook, Second PDF

Algorithms and idea of Computation guide, moment variation: common strategies and strategies offers an up to date compendium of basic desktop technological know-how subject matters and methods. It additionally illustrates how the subjects and strategies come jointly to bring effective suggestions to special useful difficulties.

Read e-book online High Performance Computing in Science and Engineering ' 08: PDF

The discussions and plans on all scienti? c, advisory, and political degrees to achieve an excellent better “European Supercomputer” in Germany, the place the charges on my own may be hundreds of thousands of hundreds of thousands Euro – even more than long ago – are becoming toward awareness. As a part of the method, the 3 nationwide supercomputing centres HLRS (Stuttgart), NIC/JSC (Julic ¨ h) and LRZ (Munich) have shaped the Gauss Centre for Supercomputing (GCS) as a brand new digital association enabled via an contract among the Federal Ministry of schooling and examine (BMBF) and the nation ministries for study of Baden-Wurttem ¨ berg, Bayern, and Nordrhein-Westfalen.

Download e-book for iPad: A Numerical Primer for the Chemical Engineer by Edwin Zondervan

Resolve built versions in a Numerical FashionDesigned as an creation to numerical tools for college students, A Numerical Primer for the Chemical Engineer explores the function of types in chemical engineering. Combining mathematical correctness (model verification) with numerical functionality (model validation), this article concentrates on numerical tools and challenge fixing, instead of targeting in-depth numerical research.

Extra 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 Brian
4.3

Rated 4.95 of 5 – based on 19 votes