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Author: Research and Education Association
Publisher: Research & Education Assoc.
Published: 1978
Total Pages: 1564
ISBN-13: 9780878915132
DOWNLOAD EBOOKThis book is intended to help students in differential equations to find their way through the complex material which involves a wide variety of concepts. Topic by topic, and problem by problem, the book provides detailed illustrations of solution methods which are usually not apparent to students.
Author: David Arterbum
Publisher: Research & Education Assoc.
Published: 2012-06-14
Total Pages: 1570
ISBN-13: 0738668303
DOWNLOAD EBOOKREA’s Problem Solvers is a series of useful, practical, and informative study guides. Each title in the series is complete step-by-step solution guide. The Differential Equations Problem Solver enables students to solve difficult problems by showing them step-by-step solutions to Differential Equations problems. The Problem Solvers cover material ranging from the elementary to the advanced and make excellent review books and textbook companions. They're perfect for undergraduate and graduate studies. The Differential Equations Problem Solver is the perfect resource for any class, any exam, and any problem.
Author:
Publisher: Research & Education Assoc.
Published:
Total Pages: 844
ISBN-13: 9780738670768
DOWNLOAD EBOOKDesigned specifically for use by engineering students. Contains comprehensive treatments of all areas of mathematics and their applications. Included are problems and solutions for calculus, complex variables, electronics, mechanics, physics, and other areas of mathematical study.
Author: Max Fogiel
Publisher:
Published: 1983
Total Pages: 1394
ISBN-13:
DOWNLOAD EBOOKAuthor: Ernst Hairer
Publisher: Springer Science & Business Media
Published: 2008-04-03
Total Pages: 541
ISBN-13: 354078862X
DOWNLOAD EBOOKThis book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the classical theory, and the second chapter includes a modern treatment of Runge-Kutta and extrapolation methods. Chapter three begins with the classical theory of multistep methods, and concludes with the theory of general linear methods. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs which help him/her learn to solve all kinds of ordinary differential equations. This new edition has been rewritten and new material has been included.
Author: Granville Sewell
Publisher: John Wiley & Sons
Published: 2018-10-09
Total Pages: 224
ISBN-13: 1119507936
DOWNLOAD EBOOKSolve engineering and scientific partial differential equation applications using the PDE2D software developed by the author Solving Partial Differential Equation Applications with PDE2D derives and solves a range of ordinary and partial differential equation (PDE) applications. This book describes an easy-to-use, general purpose, and time-tested PDE solver developed by the author that can be applied to a wide variety of science and engineering problems. The equations studied include many time-dependent, steady-state and eigenvalue applications such as diffusion, heat conduction and convection, image processing, math finance, fluid flow, and elasticity and quantum mechanics, in one, two, and three space dimensions. The author begins with some simple "0D" problems that give the reader an opportunity to become familiar with PDE2D before proceeding to more difficult problems. The book ends with the solution of a very difficult nonlinear problem, which requires a moving adaptive grid because the solution has sharp, moving peaks. This important book: Describes a finite-element program, PDE2D, developed by the author over the course of 40 years Derives the ordinary and partial differential equations, with appropriate initial and boundary conditions, for a wide variety of applications Offers free access to the Windows version of the PDE2D software through the author’s website at www.pde2d.com Offers free access to the Linux and MacOSX versions of the PDE2D software also, for instructors who adopt the book for their course and contact the author at www.pde2d.com Written for graduate applied mathematics or computational science classes, Solving Partial Differential Equation Applications with PDE2D offers students the opportunity to actually solve interesting engineering and scientific applications using the accessible PDE2D.
Author: Ernst Hairer
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 615
ISBN-13: 3662099470
DOWNLOAD EBOOK"Whatever regrets may be, we have done our best." (Sir Ernest Shackleton, turning back on 9 January 1909 at 88°23' South.) Brahms struggled for 20 years to write his first symphony. Compared to this, the 10 years we have been working on these two volumes may even appear short. This second volume treats stiff differential equations and differential alge braic equations. It contains three chapters: Chapter IV on one-step (Runge Kutta) methods for stiff problems, Chapter Von multistep methods for stiff problems, and Chapter VI on singular perturbation and differential-algebraic equations. Each chapter is divided into sections. Usually the first sections of a chapter are of an introductory nature, explain numerical phenomena and exhibit numerical results. Investigations of a more theoretieal nature are presented in the later sections of each chapter. As in Volume I, the formulas, theorems, tables and figures are numbered consecutively in each section and indicate, in addition, the section num ber. In cross references to other chapters the (latin) chapter number is put first. References to the bibliography are again by "author" plus "year" in parentheses. The bibliography again contains only those papers which are discussed in the text and is in no way meant to be complete.
Author: Daniel Zwillinger
Publisher: Gulf Professional Publishing
Published: 1998
Total Pages: 842
ISBN-13: 9780127843964
DOWNLOAD EBOOKThis book compiles the most widely applicable methods for solving and approximating differential equations. as well as numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations. For nearly every technique, the book provides: The types of equations to which the method is applicable The idea behind the method The procedure for carrying out the method At least one simple example of the method Any cautions that should be exercised Notes for more advanced users References to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs
Author: Research and Education Association
Publisher:
Published: 1996
Total Pages: 1564
ISBN-13:
DOWNLOAD EBOOKAuthor: Maciej Borodzik
Publisher: Springer
Published: 2019-05-07
Total Pages: 260
ISBN-13: 3030147347
DOWNLOAD EBOOKThis book covers a diverse range of topics in Mathematical Physics, linear and nonlinear PDEs. Though the text reflects the classical theory, the main emphasis is on introducing readers to the latest developments based on the notions of weak solutions and Sobolev spaces. In numerous problems, the student is asked to prove a given statement, e.g. to show the existence of a solution to a certain PDE. Usually there is no closed-formula answer available, which is why there is no answer section, although helpful hints are often provided. This textbook offers a valuable asset for students and educators alike. As it adopts a perspective on PDEs that is neither too theoretical nor too practical, it represents the perfect companion to a broad spectrum of courses.
