Solving ODEs with MATLAB - Shampine Gladwell Thompson.pdf - MATLAB - maniek_88

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Solving ODEs with M ATL AB

This book is for people who need to solve ordinary differential equations (ODEs), both ini-

tial value problems (IVPs) and boundary value problems (BVPs) as well as delay differential

equations (DDEs). These topics are usually taught in separate courses of length one semes-

ter each, but Solving ODEs with M ATL AB provides a sound treatment of all three in about 250

pages. The chapters on each of these topics begin with a discussion of “the facts of life” for

the problem, mainly by means of examples. Numerical methods for the problem are then de-

veloped – but only the methods most widely used. Although the treatment of each method is

brief and technical issues are minimized, the issues important in practice and for understand-

ing the codes are discussed. Often solving a real problem is much more than just learning how

to call a code. The last part of each chapter is a tutorial that shows how to solve problems by

means of small but realistic examples.

About theAuthors

L. F. Shampine is Clements Professor of Applied Mathematics at Southern Methodist Univer-

sity in Dallas, Texas.

I. Gladwell is Professor of Mathematics at Southern Methodist University in Dallas, Texas.

S. Thompson is Professor of Mathematics at Radford University in Radford, Virginia.

This book distills decades of experience helping people solve ODEs. The authors accumulated

this experience in industrial and laboratory settings that include NAG (Numerical Algorithms

Group), Babcock and Wilcox Company, Oak Ridge National Laboratory, Sandia National

Laboratories, and The MathWorks – as well as in academic settings that include the Uni-

versity of Manchester, Radford University, and Southern Methodist University. The authors

have contributed to the subject by publishing hundreds of research papers, writing or editing a

half-dozen books, editing leading journals, and writing mathematical software that is in wide

use. With associates at The MathWorks, Inc., they wrote all the programs for solving ODEs

in MATLAB, programs that are the foundation of this book.

Solving ODEs

with M ATL AB

L. F. S HAMPINE

I. G LADWELL

S. T HOMPSON

Southern Methodist University

Radford University

Solving ODEs with MATLAB - Shampine Gladwell Thompson.pdf