The Differential Equations Of Thermodynamics

The ADI Model Problem presents the theoretical foundations of Alternating Direction Implicit (ADI) iteration for systems with both real and complex spectra and extends early work for real spectra into the complex plane with methods for computing optimum iteration parameters for both one and two variable problems.

This book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools. Theoretical backgrounds in mechanics, thermo-dynamics, game theory, and theoretical biology are examined in details. It starts off with a review and summary of the basic ideas of mathematical modeling frequently used in the sciences and engineering.

Authors: Cioranescu, D., Girault, V., Rajagopal, K.R.
Introduces the reader to the mechanics of non-Newtonian fluids and to the mathematical analysis of several fluids of the differential type
Self-contained, and can be used as an introductory course for PhD students in mathematics or mechanics
Focuses on constructive techniques of non-linear analysis