Posted in Number Systems

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

By Fritz Schwarz

ISBN-10: 158488889X

ISBN-13: 9781584888895

even though Sophus Lie's concept was once nearly the one systematic approach for fixing nonlinear traditional differential equations (ODEs), it used to be infrequently used for sensible difficulties as a result gigantic quantity of calculations concerned. yet with the appearance of desktop algebra courses, it turned attainable to use Lie idea to concrete difficulties. Taking this process, Algorithmic Lie concept for fixing usual Differential Equations serves as a necessary creation for fixing differential equations utilizing Lie's conception and comparable results.

After an introductory bankruptcy, the booklet presents the mathematical starting place of linear differential equations, overlaying Loewy's concept and Janet bases. the subsequent chapters current effects from the idea of continuing teams of a 2-D manifold and speak about the shut relation among Lie's symmetry research and the equivalence challenge. The center chapters of the booklet establish 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 bring the final suggestions every time attainable in addition to offer concluding feedback. The appendices comprise strategies to chose workouts, worthwhile 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

V.V. Aristov's Direct Methods for Solving the Boltzmann Equation and Study PDF

This e-book is worried with the equipment of fixing the nonlinear Boltz­ mann equation and of investigating its probabilities for describing a few aerodynamic and actual difficulties. This monograph is a sequel to the publication 'Numerical direct suggestions of the kinetic Boltzmann equation' (in Russian) which was once written with F.

Get The Geometry of Filtering (Frontiers in Mathematics) PDF

Filtering is the technology of nding the legislation of a procedure given a partial statement of it. the most items we learn listed below are di usion strategies. those are evidently linked to second-order linear di erential operators that are semi-elliptic and so introduce a very likely degenerate Riemannian constitution at the kingdom area.

Grundlagen der höheren Informatik: Induktives Vorgehen by Bernhard Steffen,Oliver Rüthing,Malte Isberner PDF

Die auf drei Bände angelegte Reihe mit prüfungsrelevanten Aufgaben und Lösungen erläutert grundlegende Mathematik-bezogene Methoden der Informatik. Der vorliegende erste Band "Induktives Vorgehen" intoniert das durch das Zusammenspiel von Struktur, Invarianz und Abstraktion geprägte Leitthema der Trilogie zu den Grundlagen der Höheren Informatik.

New PDF release: Model Elements and Network Solutions of Heat, Mass and

This paintings presents an important contribution to the huge attempt of modeling warmth, mass and momentum delivery in multi-physics issues of the improvement of latest answer methods. It re-visits the widely used means of community program utilizing circulate community strategies for all delivery procedure elements for a coupled modeling activity.

Extra info 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 William

Rated 4.65 of 5 – based on 10 votes