Introduction to numerical methods in differential equations
- Mark H. Holmes.
- New York : Springer, c2007.
- Physical description
- xi, 238 p. : ill. ; 25 cm.
- Texts in applied mathematics 52.
Science Library (Li and Ma)
|QA371 .H68 2007||Unknown|
- Holmes, Mark H.
- Includes bibliographical references (p. -234) and index.
- Initial Value Problems.- Two-Point Boundary Value Problems.- Diffusion Problems.- Advection Equation.- Numerical Wave Propagation.- Elliptic Problems.- Appendix.- References.- Index.
- (source: Nielsen Book Data)9780387308913 20160528
- Publisher's Summary
- This is a textbook for upper division undergraduates and beginning graduate students. Its objective is that students learn to derive, test and analyze numerical methods for solving differential equations, and this includes both ordinary and partial differential equations. In this sense, the book is constructive rather than theoretical, with the intention that the students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. An essential component of this is the exercises, which develop both the analytical and computational aspects of the material. The importance of the subject of the book is that most laws of physics involve differential equations, as do the modern theories on financial assets. Moreover many computer animation methods are now based on physics based rules and are heavily invested in differential equations. Consequently numerical methods for differential equations are important for multiple areas.
(source: Nielsen Book Data)9780387308913 20160528
- Supplemental links
Table of contents only
- Publication date
- Texts in applied mathematics ; 52
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