Numerical Solutions Of Partial Differential Equations
DOWNLOAD
Download Numerical Solutions Of Partial Differential Equations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Numerical Solutions Of Partial Differential Equations book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Numerical Solutions For Partial Differential Equations
DOWNLOAD
Author : Victor Grigor'e Ganzha
language : en
Publisher: CRC Press
Release Date : 2017-11-22
Numerical Solutions For Partial Differential Equations written by Victor Grigor'e Ganzha and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
Partial differential equations (PDEs) play an important role in the natural sciences and technology, because they describe the way systems (natural and other) behave. The inherent suitability of PDEs to characterizing the nature, motion, and evolution of systems, has led to their wide-ranging use in numerical models that are developed in order to analyze systems that are not otherwise easily studied. Numerical Solutions for Partial Differential Equations contains all the details necessary for the reader to understand the principles and applications of advanced numerical methods for solving PDEs. In addition, it shows how the modern computer system algebra Mathematica® can be used for the analytic investigation of such numerical properties as stability, approximation, and dispersion.
Innovative Methods For Numerical Solutions Of Partial Differential Equations
DOWNLOAD
Author : P. L. Roe
language : en
Publisher: World Scientific
Release Date : 2002
Innovative Methods For Numerical Solutions Of Partial Differential Equations written by P. L. Roe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This book consists of 20 review articles dedicated to Prof. Philip Roe on the occasion of his 60th birthday and in appreciation of his original contributions to computational fluid dynamics. The articles, written by leading researchers in the field, cover many topics, including theory and applications, algorithm developments and modern computational techniques for industry.
Numerical Solutions For Partial Differential Equations
DOWNLOAD
Author : Victor Grigor'e Ganzha
language : en
Publisher: CRC Press
Release Date : 2017-11-22
Numerical Solutions For Partial Differential Equations written by Victor Grigor'e Ganzha and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
Partial differential equations (PDEs) play an important role in the natural sciences and technology, because they describe the way systems (natural and other) behave. The inherent suitability of PDEs to characterizing the nature, motion, and evolution of systems, has led to their wide-ranging use in numerical models that are developed in order to analyze systems that are not otherwise easily studied. Numerical Solutions for Partial Differential Equations contains all the details necessary for the reader to understand the principles and applications of advanced numerical methods for solving PDEs. In addition, it shows how the modern computer system algebra Mathematica® can be used for the analytic investigation of such numerical properties as stability, approximation, and dispersion.
Numerical Partial Differential Equations Finite Difference Methods
DOWNLOAD
Author : J.W. Thomas
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-11-06
Numerical Partial Differential Equations Finite Difference Methods written by J.W. Thomas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-06 with Mathematics categories.
What makes this book stand out from the competition is that it is more computational. Once done with both volumes, readers will have the tools to attack a wider variety of problems than those worked out in the competitors' books. The author stresses the use of technology throughout the text, allowing students to utilize it as much as possible.
Numerical Solutions Of Partial Differential Equations
DOWNLOAD
Author : Silvia Bertoluzza
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-13
Numerical Solutions Of Partial Differential Equations written by Silvia Bertoluzza and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-13 with Mathematics categories.
This book presents some of the latest developments in numerical analysis and scientific computing. Specifically, it covers central schemes, error estimates for discontinuous Galerkin methods, and the use of wavelets in scientific computing.
Numerical Solutions Of Partial Differential Equations Using Finite Difference Method And Mathematica
DOWNLOAD
Author : SUJAUL CHOWDHURY
language : en
Publisher: American Academic Press
Release Date : 2019-01-14
Numerical Solutions Of Partial Differential Equations Using Finite Difference Method And Mathematica written by SUJAUL CHOWDHURY and has been published by American Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-14 with Mathematics categories.
The book is intended for graduate students of Engineering, Mathematics and Physics. We have numerically solved Hyperbolic and Parabolic partial differential equations with various initial conditions using Finite Difference Method and Mathematica. Replacing derivatives by finite difference approximations in these differential equations in conjunction with boundary conditions and initial conditions lead to equations relating numerical solutions at various position and time. These relations are intricate in that numerical value of the solution at one particular position and time is related with that at several other position and time. We have surmounted the intricacies by writing programs in Mathematica 6.0 that neatly provide systematic tabulation of the numerical values for all necessary position and time. This enabled us to plot the solutions as functions of position and time. Comparison with analytic solutions revealed nearly perfect match in every case. We have demonstrated conditions under which the nearly perfect match can be obtained even for larger increments in position or time.
Numerical Methods For Partial Differential Equations
DOWNLOAD
Author : G. Evans
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Numerical Methods For Partial Differential Equations written by G. Evans and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but emerged in the 18th century as ordinary differential equations failed to describe the physical principles being studied. The subject was originally developed by the major names of mathematics, in particular, Leonard Euler and Joseph-Louis Lagrange who studied waves on strings; Daniel Bernoulli and Euler who considered potential theory, with later developments by Adrien-Marie Legendre and Pierre-Simon Laplace; and Joseph Fourier's famous work on series expansions for the heat equation. Many of the greatest advances in modern science have been based on discovering the underlying partial differential equation for the process in question. James Clerk Maxwell, for example, put electricity and magnetism into a unified theory by establishing Maxwell's equations for electromagnetic theory, which gave solutions for prob lems in radio wave propagation, the diffraction of light and X-ray developments. Schrodinger's equation for quantum mechanical processes at the atomic level leads to experimentally verifiable results which have changed the face of atomic physics and chemistry in the 20th century. In fluid mechanics, the Navier Stokes' equations form a basis for huge number-crunching activities associated with such widely disparate topics as weather forecasting and the design of supersonic aircraft. Inevitably the study of partial differential equations is a large undertaking, and falls into several areas of mathematics.
Numerical Solution Of Partial Differential Equations
DOWNLOAD
Author : T. Meis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Numerical Solution Of Partial Differential Equations written by T. Meis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book is the result of two courses of lectures given at the University of Cologne in Germany in 1974/75. The majority of the students were not familiar with partial differential equations and functional analysis. This explains why Sections 1, 2, 4 and 12 contain some basic material and results from these areas. The three parts of the book are largely independent of each other and can be read separately. Their topics are: initial value problems, boundary value problems, solutions of systems of equations. There is much emphasis on theoretical considerations and they are discussed as thoroughly as the algorithms which are presented in full detail and together with the programs. We believe that theoretical and practical applications are equally important for a genuine understa- ing of numerical mathematics. When writing this book, we had considerable help and many discussions with H. W. Branca, R. Esser, W. Hackbusch and H. Multhei. H. Lehmann, B. Muller, H. J. Niemeyer, U. Schulte and B. Thomas helped with the completion of the programs and with several numerical calculations. Springer-Verlag showed a lot of patience and under standing during the course of the production of the book. We would like to use the occasion of this preface to express our thanks to all those who assisted in our sometimes arduous task.
The Numerical Solution Of Ordinary And Partial Differential Equations
DOWNLOAD
Author : Granville Sewell
language : en
Publisher: John Wiley & Sons
Release Date : 2005-07-25
The Numerical Solution Of Ordinary And Partial Differential Equations written by Granville Sewell and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-25 with Mathematics categories.
Learn to write programs to solve ordinary and partial differential equations The Second Edition of this popular text provides an insightful introduction to the use of finite difference and finite element methods for the computational solution of ordinary and partial differential equations. Readers gain a thorough understanding of the theory underlying themethods presented in the text. The author emphasizes the practical steps involved in implementing the methods, culminating in readers learning how to write programs using FORTRAN90 and MATLAB(r) to solve ordinary and partial differential equations. The book begins with a review of direct methods for the solution of linear systems, with an emphasis on the special features of the linear systems that arise when differential equations are solved. The following four chapters introduce and analyze the more commonly used finite difference methods for solving a variety of problems, including ordinary and partial differential equations and initial value and boundary value problems. The techniques presented in these chapters, with the aid of carefully developed exercises and numerical examples, can be easilymastered by readers. The final chapter of the text presents the basic theory underlying the finite element method. Following the guidance offered in this chapter, readers gain a solid understanding of the method and discover how to use it to solve many problems. A special feature of the Second Edition is Appendix A, which describes a finite element program, PDE2D, developed by the author. Readers discover how PDE2D can be used to solve difficult partial differential equation problems, including nonlinear time-dependent and steady-state systems, and linear eigenvalue systems in 1D intervals, general 2D regions, and a wide range of simple 3D regions. The software itself is available to instructors who adopt the text to share with their students.
Time Dependent Partial Differential Equations And Their Numerical Solution
DOWNLOAD
Author : Heinz-Otto Kreiss
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-04-01
Time Dependent Partial Differential Equations And Their Numerical Solution written by Heinz-Otto Kreiss and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-01 with Mathematics categories.
This book studies time-dependent partial differential equations and their numerical solution, developing the analytic and the numerical theory in parallel, and placing special emphasis on the discretization of boundary conditions. The theoretical results are then applied to Newtonian and non-Newtonian flows, two-phase flows and geophysical problems. This book will be a useful introduction to the field for applied mathematicians and graduate students.