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Emphasizing the finite difference approach for solving differential equations, this revised and updated edition presents a methodology for systematically constructing individual computer programs. The text provides accessible, accurate solutions to complex scientific and engineering problems. Each chapter includes objectives, a discussion of a representative application, and an outline of special features. Chapters conclude with a list of tasks students should be able to complete after reading the chapter—perfect for use as a study guide or for review. In addition, all computer code has been updated to reflect Fortran 95/2003.
Basic tools of numerical analysis. Ordinary differential equations. Partial differential equations, parabolic partial differential equations.
Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book "...a good, solid instructional text on the basic tools of numerical analysis."
Volume one of the complete and comprehensive guide to gas dynamics The first in a two-volume series, Gas Dynamics, Volume 1 provides the first half a comprehensive treatment of the subject of gas dynamics. Beginning with a review of the fundamental principles, the text then moves on to fully explore other relevant areas of gas dynamics. Readers will study such topics as the governing equations for compressible fluid flow, steady one-dimensional flow, expansion waves, flow with small perturbations, unsteady one-dimensional homentropic flow, and others. The book is then completed with a series of appendices for reference.
Here is an easy-to-understand text that helps you take advantage of personal computers to grasp Numerical Methods without spending an excessive amount of time. The book is designed to be a text for the first course in Numerical Analysis in college & it presents... * the methods in a systematic manner * a computer program for each method * a sample problem for each program * the source lines of each program in BASIC. All programs are stored on a floppy disc which comes with the book. You will be able to solve many of your own problems by just changing a few lines of the programs. The analytical formulas are derived in the simplest possible manner. Utmost clarity in presentation has been a major goal while writing this book. Three professors of mathematics who reviewed the book have the following comments: "Very readable, very practical, very computer oriented." The author received his Ph.D. in Mechanics in 1970 from Illinois Institute of Technology, Chicago, Ill. He has taught mathematics & engineering courses at various universities. He has more than 20 years to his credit in applying Numerical Methods to Engineering problems.