Adaptive Moving Mesh Methods by Weizhang Huang
This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations.-
A Practical Guide to Splines
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Fractional Differential Equations
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Partial Differential Equations II
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Elliptic Functions and Applications
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Dynamics: Numerical Explorations
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Averaging for Nonlinear Dynamics with Applications and Numerical Bifurcations
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Direct and Inverse Scattering for the Matrix Schrodinger Equation
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Imperfect Bifurcation in Structures and Materials
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Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems
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Exact and Heuristic Methods in Combinatorial Optimization
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Optimal Control of Partial Differential Equations
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Applications of Percolation Theory
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Falling Liquid Films
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Nonlinear Filtering and Optimal Phase Tracking
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Mathematical Problems in Image Processing
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Fluid Dynamics of Viscoelastic Liquids
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An Introduction to Theory and Applications of Stationary Variational-Hemivariational Inequalities
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The Geometry of Minkowski Spacetime
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Lectures on Variational Analysis
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Level Set Methods and Dynamic Implicit Surfaces
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Brownian Dynamics at Boundaries and Interfaces
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Nonlinear Functional Analysis with Applications to Combustion Theory
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Dynamical Systems and Chaos
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Bifurcation Theory
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Nonlinear Dispersive Equations
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Infinite-Dimensional Dynamical Systems in Mechanics and Physics
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Transient Chaos
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Chaos, Fractals, and Noise
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Mathematical Problems from Combustion Theory
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Linear Integral Equations
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Singularities and Groups in Bifurcation Theory
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Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles
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Applied Functional Analysis
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Robust Control Theory in Hilbert Space
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Invariant Manifolds and Fibrations for Perturbed Nonlinear Schroedinger Equations
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Normally Hyperbolic Invariant Manifolds in Dynamical Systems
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Prandtl-Essentials of Fluid Mechanics
From the reviews:
“The authors of the present monograph focus on a brand of strategies for mesh adaption on which they have been working themselves, namely so called r-adaptivity… It is self-contained, even usable for courses and will guide the reader to much of the current development in the field.” (H. Muthsam, Monatshefte für Mathematik, Vol. 166 (1), April, 2012)
“This book is valuable for both researchers and practitioners working in adaptive moving mesh methods. It presents unified analytical tools and implementation details, and provides applications of the adaptive moving mesh methods. … In addition, the book can be used as a textbook for an advanced course in the numerical solution of partial differential equations.” (Tsu-Fen Chen, Mathematical Reviews, Issue 2012 a)
“This advanced textbook on adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations (mostly of parabolic type) is aimed at graduate students and researchers in the field of scientific computing and numerical analysis. … The book is illustrated with numerous examples, which have been implemented in Matlab.” (Kai Schneider, Zentralblatt MATH, Vol. 1227, 2012)
“The book’s focus is on mesh generation and adaptation through mesh movement techniques … . is completed by an extensive bibliographical list consisting of more than 300 references. … this has helped to fill in the gap between the practitioner’s moving mesh techniques and a sound theoretical background. It is highly accessible and is characterized by a very clear and readable style without sacrificing mathematical rigor and soundness. … a precious reference for a broad community of numerical analysts as well as for computational scientists.” (Alfio Quarteroni, SIAM Review, Vol. 53 (4), 2011)
| SKU | Unavailable |
| ISBN 13 | 9781441979155 |
| ISBN 10 | 1441979158 |
| Title | Adaptive Moving Mesh Methods |
| Author | Weizhang Huang |
| Series | Applied Mathematical Sciences |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2010-10-27 |
| Number of pages | 434 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |