Symmetry Analysis of Differential Equations with Mathematica® - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Symmetry Analysis of Differential Equations with Mathematica® write by Gerd Baumann. This book was released on 2013-11-21. Symmetry Analysis of Differential Equations with Mathematica® available in PDF, EPUB and Kindle. The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which allow users to directly interact with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool in regard to performing algebraic computations.
Introduction to Symmetry Analysis Paperback with CD-ROM
Introduction to Symmetry Analysis Paperback with CD-ROM - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Symmetry Analysis Paperback with CD-ROM write by Brian Cantwell. This book was released on 2002-09-23. Introduction to Symmetry Analysis Paperback with CD-ROM available in PDF, EPUB and Kindle. An introduction to symmetry analysis for graduate students in science, engineering and applied mathematics.
Symmetries and Differential Equations
Symmetries and Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Symmetries and Differential Equations write by George W. Bluman. This book was released on 2013-03-14. Symmetries and Differential Equations available in PDF, EPUB and Kindle. A major portion of this book discusses work which has appeared since the publication of the book Similarity Methods for Differential Equations, Springer-Verlag, 1974, by the first author and J.D. Cole. The present book also includes a thorough and comprehensive treatment of Lie groups of tranformations and their various uses for solving ordinary and partial differential equations. No knowledge of group theory is assumed. Emphasis is placed on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries. This book should be particularly suitable for physicists, applied mathematicians, and engineers. Almost all of the examples are taken from physical and engineering problems including those concerned with heat conduction, wave propagation, and fluid flows. A preliminary version was used as lecture notes for a two-semester course taught by the first author at the University of British Columbia in 1987-88 to graduate and senior undergraduate students in applied mathematics and physics. Chapters 1 to 4 encompass basic material. More specialized topics are covered in Chapters 5 to 7.
Symmetry Theory in Molecular Physics with Mathematica
Symmetry Theory in Molecular Physics with Mathematica - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Symmetry Theory in Molecular Physics with Mathematica write by William McClain. This book was released on 2010-03-12. Symmetry Theory in Molecular Physics with Mathematica available in PDF, EPUB and Kindle. Prof. McClain has, quite simply, produced a new kind of tutorial book. It is written using the logic engine Mathematica, which permits concrete exploration and development of every concept involved in Symmetry Theory. It is aimed at students of chemistry and molecular physics who need to know mathematical group theory and its applications, either for their own research or for understanding the language and concepts of their field. The book begins with the most elementary symmetry concepts, then presents mathematical group theory, and finally the projection operators that flow from the Great Orthogonality are automated and applied to chemical and spectroscopic problems.
New developments in Functional and Fractional Differential Equations and in Lie Symmetry
New developments in Functional and Fractional Differential Equations and in Lie Symmetry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New developments in Functional and Fractional Differential Equations and in Lie Symmetry write by Ioannis P. Stavroulakis. This book was released on 2021-09-03. New developments in Functional and Fractional Differential Equations and in Lie Symmetry available in PDF, EPUB and Kindle. Delay, difference, functional, fractional, and partial differential equations have many applications in science and engineering. In this Special Issue, 29 experts co-authored 10 papers dealing with these subjects. A summary of the main points of these papers follows: Several oscillation conditions for a first-order linear differential equation with non-monotone delay are established in Oscillation Criteria for First Order Differential Equations with Non-Monotone Delays, whereas a sharp oscillation criterion using the notion of slowly varying functions is established in A Sharp Oscillation Criterion for a Linear Differential Equation with Variable Delay. The approximation of a linear autonomous differential equation with a small delay is considered in Approximation of a Linear Autonomous Differential Equation with Small Delay; the model of infection diseases by Marchuk is studied in Around the Model of Infection Disease: The Cauchy Matrix and Its Properties. Exact solutions to fractional-order Fokker–Planck equations are presented in New Exact Solutions and Conservation Laws to the Fractional-Order Fokker–Planck Equations, and a spectral collocation approach to solving a class of time-fractional stochastic heat equations driven by Brownian motion is constructed in A Collocation Approach for Solving Time-Fractional Stochastic Heat Equation Driven by an Additive Noise. A finite difference approximation method for a space fractional convection-diffusion model with variable coefficients is proposed in Finite Difference Approximation Method for a Space Fractional Convection–Diffusion Equation with Variable Coefficients; existence results for a nonlinear fractional difference equation with delay and impulses are established in On Nonlinear Fractional Difference Equation with Delay and Impulses. A complete Noether symmetry analysis of a generalized coupled Lane–Emden–Klein–Gordon–Fock system with central symmetry is provided in Oscillation Criteria for First Order Differential Equations with Non-Monotone Delays, and new soliton solutions of a fractional Jaulent soliton Miodek system via symmetry analysis are presented in New Soliton Solutions of Fractional Jaulent-Miodek System with Symmetry Analysis.
