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Moving mesh methods are an effective, mesh-adaptation-based approach for the numerical solution of mathematical models of physical phenomena. Currently there exist three main strategies for mesh adaptation, namely, to use mesh subdivision,  local high order approximation (sometimes combined with mesh subdivision), and mesh movement. The latter type of adaptive mesh method has been less well studied, both computationally and theoretically. This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems.  Many explicit examples with computed figures illustrate the various methods and the effects of parameter choices for those methods. The partial differential equations considered are mainly parabolic (diffusion-dominated, rather  than convection-dominated). The extensive bibliography provides an invaluable guide to the literature in this field. Each chapter contains useful exercises. Graduate students, researchers and practitioners working in this area will benefit from this book. Weizhang Huang is a Professor in the Department of Mathematics at the University of Kansas. Robert D. Russell is a Professor in the Department of Mathematics at Simon Fraser University.

519.63 --- 681.3*G18 --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- Delay differential equations. --- Differential equations. --- Electronic books. -- local. --- Delay differential equations --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Calculus --- Applied Mathematics --- Numerical analysis --- Computer. Automation --- informatica --- numerieke analyse --- differentiaalvergelijkingen --- wiskunde --- Partial differential equations --- Mathematical Sciences --- Mathematics. --- Partial differential equations. --- Computer mathematics. --- Numerical analysis. --- Numerical Analysis. --- Computational Mathematics and Numerical Analysis. --- Partial Differential Equations. --- Mathematical analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Math --- Science --- Delay equations (Differential equations) --- Delay functional differential equations --- Differential delay equations --- Differential equations --- Differential equations with lag --- Functional differential equations --- Retarded argument (Differential equations) --- Retarded differential equations --- Retarded functional differential equations --- Time-lag systems (Differential equations) --- Delay equations --- Retarded argument --- Time-lag equations --- 681.3 *G18 --- 517.91 Differential equations --- Computer science --- Differential equations, partial.