Introduction to Differential Equations and Their Applications

Science & Math

Campbell, S. L.

Mathematics

Addison-Wesley Longman Ltd

An ancillary package is available upon adoption.

Introduction to Differential Equatations With Boundary Value Problems

Houghton Mifflin College Div.

Unified treatment of general theory of generalized inversion, including topics ranging from the most traditional to the most contemporary. Emphasis is placed on the utility of the concept of generalized inversion by presenting many diverse applications in which generalized inversion plays an integral role. Exercises. Bibliography. 19 illustrations.

Generalized Inverses of Linear Transformations

Meyer Jr., C. D.

Dover Publications

Wadsworth Pub. Co.

An Introduction to Differential Equations and Their Applications

Longman Publishing Group

Many physical problems are most naturally described by systems of differential and algebraic equations. This book describes some of the places where differential-algebraic equations (DAE's) occur. The basic mathematical theory for these equations is developed and numerical methods are presented and analyzed. Examples drawn from a variety of applications are used to motivate and illustrate the concepts and techniques. This classic edition, originally published in 1989, is the only general DAE book available. It not only develops guidelines for choosing different numerical methods, it is the first book to discuss DAE codes, including the popular DASSL code. An extensive discussion of backward differentiation formulas details why they have emerged as the most popular and best understood class of linear multistep methods for general DAE's. New to this edition is a chapter that brings the discussion of DAE software up to date.

Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations (Classics in Applied Mathematics, Series Number 14)

Brenan, K. E.

Petzold, L. R.

Society for Industrial and Applied Mathematics

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