Emphasizes physical applications and relates the three major classes of partial differential equations -- elliptic, parabolic, and hyperbolic -- to steady-state systems, dissipative systems, and non-dissipative systems, respectively.
AuthorMyron B. Allen, Ismael Herrera, George F. Pinder
FormatHardcover
Dimensions
Item Height1.1 in
Item Weight27.1 Oz
Item Length9.5 in
Item Width6.7 in
Additional Product Features
Edition Number99
Intended AudienceScholarly & Professional
LCCN87-028047
Dewey Edition19
IllustratedYes
Dewey Decimal507.2/4
Table Of ContentBasic Equations of Macroscopic Systems. Introduction to Numerical Methods. Steady-state Systems. Dissipative Systems. Nondissipative Systems. High-order, Nonlinear, and Coupled Systems. Appendix: Summary of Vector and Tensor Analysis. Index.
SynopsisAn unified approach to numerical modeling, integrating aspects of continuum mechanics, differential equations, and numerical analysis. Explains how to formulate a mathematical description of the phenomena under consideration, devise techniques for solving the governing equations, then refine the model and interpret the results. Emphasizes physical applications and relates the three major classes of partial differential equations -- elliptic, parabolic, and hyperbolic -- to steady-state systems, dissipative systems, and nondissipative systems, respectively. Also examines some higher-order equations, nonlinear equations, and coupled systems of equations.