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Each chapter provides an exploration section with problems that deal with software evaluation, selection, modificationm and the solution of not entirely open-ended problems.
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This book describes the mathematical theory of regularizing element transformations as foundation for mesh smoothing. It gives a thorough introduction to GETMe based mesh smoothing and its algorithms providing a framework to focus on efficiently improving minimal element quality,... overal mesh quality, and mesh validity. It addresses the improvement of various types of meshes like planar, surface, volumetric, mixed, isotropic or anisotropic meshes and addresses aspects of combining mesh smoothign with topological mesh modifications.
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By Xu, Yuan
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- RRP: $353.00
- $353.00
- In Stock At Publisher
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The purpose of this monograph is to study the common zeroes of families of polynomials in several variables which are related to higher dimensional quadrature. It aims to introduce a new approach and use it to conduct a systematic study.
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Clear, rigorous definitions of mathematical terms are crucial to good scientific and technical writing - and to understanding the writings of others. This work features more than 2,500 definitions, alongwith alternative meanings, and related references.
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Chebyshev polynomials are important in approximation theory and in the development of spectral methods for the solution of ordinary and partial differential equations. This book gives an exposition on the theoretical and practical roles of the Chebyshev polynomials.
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Suitable for students of science and engineering, this title shows that the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. It also helps them learn about errors that inevitably acc...ompany scientific computations and arms them with methods.
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The third edition of the book introduces the fundamentals of the finite element method through simple examples and an applications-oriented approach using the latest computational tools. Using the transport equation for heat transfer as the foundation for the governing equations,... text demonstrates the versatility of the method of weighted residuals for a wide range of applications including structural analysis and fluid flow. It introduces the boundary element method and meshless, or mesh-free, methods through two additonal chapters. User-friendly computer codes written in MATLAB, MAPLE and FORTRAN are listed.
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Covers the significant progress in multi-domain spectral methods at both the fundamental and application level. This book includes material on discontinuous Galerkin methods, non-tensorial nodal spectral element methods in simplex domains, and stabilisation and filtering techniqu...es.
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The purpose of this book is to introduce and study numerical methods basic and advanced ones for scientific computing. This last refers to the implementation of appropriate approaches to the treatment of a scientific problem arising from physics (meteorology, pollution, etc.
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Mark H.A. Davis introduced the Piecewise-Deterministic Markov Process (PDMP) class of stochastic hybrid models in an article in 1984. Today it is used to model a variety of complex systems in the fields of engineering, economics, management sciences, biology, Internet traffic, ne...tworks and many more. Yet, despite this, there is very little in the way of literature devoted to the development of numerical methods for PDMDs to solve problems of practical importance, or the computational control of PDMPs. This book therefore presents a collection of mathematical tools that have been recently developed to tackle such problems. It begins by doing so through examples in several application domains such as reliability. The second part is devoted to the study and simulation of expectations of functionals of PDMPs. Finally, the third part introduces the development of numerical techniques for optimal control problems such as stopping and impulse control problems.
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