Mathematical And Computational Techniques For Multilevel Adaptive Methods
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Mathematical And Computational Techniques For Multilevel Adaptive Methods
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Author : Ulrich Ruede
language : en
Publisher: SIAM
Release Date : 1993-01-01
Mathematical And Computational Techniques For Multilevel Adaptive Methods written by Ulrich Ruede and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Mathematics categories.
This monograph presents a unified approach to adaptive methods, addressing their mathematical theory, efficient algorithms, and flexible data structures.
Mathematical And Computational Techniques For Multilevel Adaptive Methods
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Author : Ulrich Ruede
language : en
Publisher: SIAM
Release Date : 1993-01-01
Mathematical And Computational Techniques For Multilevel Adaptive Methods written by Ulrich Ruede and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Mathematics categories.
Multilevel adaptive methods play an increasingly important role in the solution of many scientific and engineering problems. Fast adaptive methods techniques are widely used by specialists to execute and analyze simulation and optimization problems. This monograph presents a unified approach to adaptive methods, addressing their mathematical theory, efficient algorithms, and flexible data structures. Rüde introduces a well-founded mathematical theory that leads to intelligent, adaptive algorithms, and suggests advanced software techniques. This new kind of multigrid theory supports the so-called "BPX" and "multilevel Schwarz" methods, and leads to the discovery of faster more robust algorithms. These techniques are deeply rooted in the theory of function spaces. Mathematical and Computational Techniques for Multilevel Adaptive Methods examines this development together with its implications for relevant algorithms for adaptive PDE methods. The author shows how abstract data types and object-oriented programming can be used for improved implementation.
Adaptive Methods Algorithms Theory And Applications
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Author : W. Hackbusch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21
Adaptive Methods Algorithms Theory And Applications written by W. Hackbusch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Computers categories.
The GAMM Committee for "Efficient Numerical Methods for Partial Differential Equations" organizes workshops on subjects concerning the algorithmical treat ment of partial differential equations. The topics are discretization methods like the finite element and finite volume method for various types of applications in structural and fluid mechanics. Particular attention is devoted to advanced solu tion techniques. th The series of such workshops was continued in 1993, January 22-24, with the 9 Kiel-Seminar on the special topic "Adaptive Methods Algorithms, Theory and Applications" at the Christian-Albrechts-University of Kiel. The seminar was attended by 76 scientists from 7 countries and 23 lectures were given. The list of topics contained general lectures on adaptivity, special discretization schemes, error estimators, space-time adaptivity, adaptive solvers, multi-grid me thods, wavelets, and parallelization. Special thanks are due to Michael Heisig, who carefully compiled the contribu tions to this volume. November 1993 Wolfgang Hackbusch Gabriel Wittum v Contents Page A. AUGE, G. LUBE, D. WEISS: Galerkin/Least-Squares-FEM and Ani- tropic Mesh Refinement. 1 P. BASTIAN, G. WmUM : Adaptive Multigrid Methods: The UG Concept. 17 R. BEINERT, D. KRONER: Finite Volume Methods with Local Mesh Alignment in 2-D. 38 T. BONK: A New Algorithm for Multi-Dimensional Adaptive Nume- cal Quadrature. 54 F.A. BORNEMANN: Adaptive Solution of One-Dimensional Scalar Conservation Laws with Convex Flux. 69 J. CANU, H. RITZDORF : Adaptive, Block-Structured Multigrid on Local Memory Machines. 84 S. DAHLKE, A. KUNaTH: Biorthogonal Wavelets and Multigrid. 99 B. ERDMANN, R.H.W. HOPPE, R.
Computational Techniques And Applications Ctac 97 Proceedings Of The Eight Biennial Conference
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Author : John Noye
language : en
Publisher: World Scientific
Release Date : 1998-08-08
Computational Techniques And Applications Ctac 97 Proceedings Of The Eight Biennial Conference written by John Noye and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-08 with categories.
This proceedings volume contains three invited papers and 93 contributed papers. The topics covered range from studies of theoretical aspects of computational methods to simulation of industrial processes, with an emphasis on the efficient use of computers to solve practical problems. Developers and users of computational techniques who wish to keep up with recent developments in the application of modern computational technology to problems in science and engineering will have much interest in this volume.
Computational Methods For Option Pricing
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Author : Yves Achdou
language : en
Publisher: SIAM
Release Date : 2005-01-01
Computational Methods For Option Pricing written by Yves Achdou and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Technology & Engineering categories.
The authors review some important aspects of finance modeling involving partial differential equations and focus on numerical algorithms for the fast and accurate pricing of financial derivatives and for the calibration of parameters. This book explores the best numerical algorithms and discusses them in depth, from their mathematical analysis up to their implementation in C++ with efficient numerical libraries.
The Mathematics Of Reservoir Simulation
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Author : Richard E. Ewing
language : en
Publisher: SIAM
Release Date : 2014-12-01
The Mathematics Of Reservoir Simulation written by Richard E. Ewing and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-01 with Science categories.
This book describes the state of the art of the mathematical theory and numerical analysis of imaging. Some of the applications covered in the book include computerized tomography, magnetic resonance imaging, emission tomography, electron microscopy, ultrasound transmission tomography, industrial tomography, seismic tomography, impedance tomography, and NIR imaging.
The Immersed Interface Method
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Author : Zhilin Li
language : en
Publisher: SIAM
Release Date : 2006-07-01
The Immersed Interface Method written by Zhilin Li and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-01 with Mathematics categories.
"This book will be a useful resource for mathematicians, numerical analysts, engineers, graduate students, and anyone who uses numerical methods to solve computational problems, particularly problems with fixed and moving interfaces, free boundary problems, and problems on regular domains."--BOOK JACKET.
Iterative Methods For Optimization
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Author : C. T. Kelley
language : en
Publisher: SIAM
Release Date : 1999-01-01
Iterative Methods For Optimization written by C. T. Kelley and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Mathematics categories.
This book presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality, and while it provides pointers to the literature for the most general theoretical results and robust software, the author thinks it is more important that readers have a complete understanding of special cases that convey essential ideas. A companion to Kelley's book, Iterative Methods for Linear and Nonlinear Equations (SIAM, 1995), this book contains many exercises and examples and can be used as a text, a tutorial for self-study, or a reference. Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hooke-Jeeves, implicit filtering, MDS, and Nelder-Mead schemes in a unified way, and also the first book to make connections between sampling methods and the traditional gradient-methods. Each of the main algorithms in the text is described in pseudocode, and a collection of MATLAB codes is available. Thus, readers can experiment with the algorithms in an easy way as well as implement them in other languages.
Finite Element Methods With B Splines
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Author : Klaus Hollig
language : en
Publisher: SIAM
Release Date : 2012-12-13
Finite Element Methods With B Splines written by Klaus Hollig and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-13 with Mathematics categories.
An exploration of the new weighted approximation techniques which result from the combination of the finite element method and B-splines.
Discontinuous Galerkin Methods For Solving Elliptic And Parabolic Equations
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Author : Beatrice Riviere
language : en
Publisher: SIAM
Release Date : 2008-12-18
Discontinuous Galerkin Methods For Solving Elliptic And Parabolic Equations written by Beatrice Riviere and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-18 with Mathematics categories.
Focuses on three primal DG methods, covering both theory and computation, and providing the basic tools for analysis.