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

By Fritz Schwarz

ISBN-10: 158488889X

ISBN-13: 9781584888895

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

After an introductory bankruptcy, the booklet presents the mathematical origin of linear differential equations, protecting Loewy's conception and Janet bases. the next chapters current effects from the idea 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 publication determine the symmetry periods to which quasilinear equations of order or 3 belong and remodel those equations to canonical shape. the ultimate chapters clear up the canonical equations and convey the overall options at any time when attainable in addition to supply concluding comments. The appendices include recommendations to chose workouts, beneficial formulae, homes of beliefs of monomials, Loewy decompositions, symmetries for equations from Kamke's assortment, and a short description of the software program approach 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

Read e-book online Mathematical Modeling of Biosensors: An Introduction for PDF

Biosensors are analytical units during which speci? c popularity of the chemical compounds is played by means of organic fabric. The organic fabric that serves as attractiveness aspect is utilized in mix with a transducer. The transducer transforms focus of substrate or product to electric sign that's amp- ?

Analyzing Markov Chains using Kronecker Products: Theory and - download pdf or read online

Kronecker items are used to outline the underlying Markov chain (MC) in a variety of modeling formalisms, together with compositional Markovian types, hierarchical Markovian types, and stochastic method algebras. the inducement in the back of utilizing a Kronecker established illustration instead of a flat one is to relieve the garage standards linked to the MC.

Download PDF by Lorenzo Robbiano,John Abbott: Approximate Commutative Algebra (Texts & Monographs in

Approximate Commutative Algebra is an rising box of analysis which endeavours to bridge the space among conventional special Computational Commutative Algebra and approximate numerical computation. The final 50 years have noticeable huge, immense development within the realm of tangible Computational Commutative Algebra, and given the significance of polynomials in medical modelling, it's very typical to need to increase those rules to address approximate, empirical facts deriving from actual measurements of phenomena within the genuine international.

The Analysis of Linear Partial Differential Operators III: by Lars Hörmander PDF

From the studies: "Volumes III and IV entire L. Hörmander's treatise on linear partial differential equations. They represent the main whole and up to date account of this topic, by way of the writer who has ruled it and made the main major contributions within the final many years. .. .. it's a amazing booklet, which has to be found in each mathematical library, and an fundamental instrument for all - old and young - drawn to the speculation of partial differential operators.

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 Daniel

Rated 4.86 of 5 – based on 9 votes