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Decomposition Methods for Differential Equations: Theory and Applications describes the analysis of numerical methods for evolution equations based on temporal and spatial decomposition methods. It covers real-life problems, the underlying decomposition and discretization, the stability and consistency analysis of the decomposition methods, and numerical results.

The book focuses on the modeling of selected multi-physics problems, before introducing decomposition analysis. It presents time and space discretization, temporal decomposition, and the combination...

This book explains how to solve differential equations using novel splitting methods based on iterative schemes. It covers differential equations of parabolic and hyperbolic equation systems occurring in multiphysics and multiscale problems. The author analyzes the convergence of iterative splitting methods with respect to the bounded and unbounded operators. Practical results are presented in the test examples and real-life problems, with a focus on the computational benefit in fluid dynamics, heat transfer, and electromagnetics. A CD-ROM includes MATLABA(R) and other software code.

Efficient Methods to Solve Complex Coupled Systems

Coupled Systems: Theory, Models, and Applications in Engineering explains how to solve complicated coupled models in engineering using analytical and numerical methods. It presents splitting multiscale methods to solve multiscale and multiphysics problems and describes analytical and numerical methods in time and space for evolution equations arising in engineering problems.

The book discusses the effectiveness, simplicity, stability, and consistency of the methods in solving problems that...