Numerical Homogenization By Localized Orthogonal Decomposition
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Numerical Homogenization By Localized Orthogonal Decomposition
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Author : Axel Målqvist
language : en
Publisher:
Release Date : 2020-12
Numerical Homogenization By Localized Orthogonal Decomposition written by Axel Målqvist and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12 with categories.
Numerical Homogenization By Localized Decomposition
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Author : Axel Målqvist
language : en
Publisher: SIAM
Release Date : 2020-11-23
Numerical Homogenization By Localized Decomposition written by Axel Målqvist and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-23 with Mathematics categories.
This book presents the first survey of the Localized Orthogonal Decomposition (LOD) method, a pioneering approach for the numerical homogenization of partial differential equations with multiscale data beyond periodicity and scale separation. The authors provide a careful error analysis, including previously unpublished results, and a complete implementation of the method in MATLAB. They also reveal how the LOD method relates to classical homogenization and domain decomposition. Illustrated with numerical experiments that demonstrate the significance of the method, the book is enhanced by a survey of applications including eigenvalue problems and evolution problems. Numerical Homogenization by Localized Orthogonal Decomposition is appropriate for graduate students in applied mathematics, numerical analysis, and scientific computing. Researchers in the field of computational partial differential equations will find this self-contained book of interest, as will applied scientists and engineers interested in multiscale simulation.
Homogenization Theory For Multiscale Problems
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Author : Xavier Blanc
language : en
Publisher: Springer Nature
Release Date : 2023-04-29
Homogenization Theory For Multiscale Problems written by Xavier Blanc and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-29 with Mathematics categories.
The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media. The presentation encompasses both deterministic and probabilistic settings. It also mixes the most abstract aspects with some more practical aspects regarding the numerical approaches necessary to simulate such multiscale problems. Based on lecture courses of the authors, the book is suitable for graduate students of mathematics and engineering.
Domain Decomposition Methods In Science And Engineering Xxiii
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Author : Chang-Ock Lee
language : en
Publisher: Springer
Release Date : 2017-03-15
Domain Decomposition Methods In Science And Engineering Xxiii written by Chang-Ock Lee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-15 with Computers categories.
This book is a collection of papers presented at the 23rd International Conference on Domain Decomposition Methods in Science and Engineering, held on Jeju Island, Korea on July 6-10, 2015. Domain decomposition methods solve boundary value problems by splitting them into smaller boundary value problems on subdomains and iterating to coordinate the solution between adjacent subdomains. Domain decomposition methods have considerable potential for a parallelization of the finite element methods, and serve a basis for distributed, parallel computations.
Handbook Of Numerical Methods For Hyperbolic Problems
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Author : Remi Abgrall
language : en
Publisher: Elsevier
Release Date : 2017-01-16
Handbook Of Numerical Methods For Hyperbolic Problems written by Remi Abgrall and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-16 with Mathematics categories.
Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues details the large amount of literature in the design, analysis, and application of various numerical algorithms for solving hyperbolic equations that has been produced in the last several decades. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and become familiar with their relative advantages and limitations. - Provides detailed, cutting-edge background explanations of existing algorithms and their analysis - Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or those involved in applications - Written by leading subject experts in each field, the volumes provide breadth and depth of content coverage
Anderson Acceleration For Numerical Pdes
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Author : Sara Pollock
language : en
Publisher: SIAM
Release Date : 2025-07-16
Anderson Acceleration For Numerical Pdes written by Sara Pollock and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-16 with Mathematics categories.
Research on Anderson acceleration (AA) has surged over the last 15 years. This book compiles recent fundamental advancements in AA and its application to nonlinear solvers for partial differential equations (PDEs). These solvers play an important role across mathematics, science, engineering, and economics, serving as a critical technology for determining solutions to predictive models for a wide range of important phenomena. This book covers AA convergence theory for both contractive and noncontractive operators, as well as filtering techniques for AA. It includes examples of how convergence theory can be adapted to various application problems. It also includes AA’s impact on sublinear convergence and integration of AA with Newton’s method. The authors provide detailed proofs of key theorems and results from numerous test examples. Code for the examples is available in an online repository.
Operator Adapted Wavelets Fast Solvers And Numerical Homogenization
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Author : Houman Owhadi
language : en
Publisher: Cambridge University Press
Release Date : 2019-10-24
Operator Adapted Wavelets Fast Solvers And Numerical Homogenization written by Houman Owhadi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-24 with Mathematics categories.
Presents interplays between numerical approximation and statistical inference as a pathway to simple solutions to fundamental problems.
Shape Optimization Homogenization And Optimal Control
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Author : Volker Schulz
language : en
Publisher: Springer
Release Date : 2018-09-05
Shape Optimization Homogenization And Optimal Control written by Volker Schulz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-05 with Mathematics categories.
The contributions in this volume give an insight into current research activities in Shape Optimization, Homogenization and Optimal Control performed in Africa, Germany and internationally. Seeds for collaboration can be found in the first four papers in the field of homogenization. Modelling and optimal control in partial differential equations is the topic of the next six papers, again mixed from Africa and Germany. Finally, new results in the field of shape optimization are discussed in the final international three papers. This workshop, held at the AIMS Center Senegal, March 13-16, 2017, has been supported by the Deutsche Forschungsgemeinschaft (DFG) and by the African Institute for Mathematical Sciences (AIMS) in Senegal, which is one of six centres of a pan-African network of centres of excellence for postgraduate education, research and outreach in mathematical sciences.
75 Years Of Mathematics Of Computation
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Author : Susanne C. Brenner
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-29
75 Years Of Mathematics Of Computation written by Susanne C. Brenner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-29 with Education categories.
The year 2018 marked the 75th anniversary of the founding of Mathematics of Computation, one of the four primary research journals published by the American Mathematical Society and the oldest research journal devoted to computational mathematics. To celebrate this milestone, the symposium “Celebrating 75 Years of Mathematics of Computation” was held from November 1–3, 2018, at the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island. The sixteen papers in this volume, written by the symposium speakers and editors of the journal, include both survey articles and new contributions. On the discrete side, there are four papers covering topics in computational number theory and computational algebra. On the continuous side, there are twelve papers covering topics in machine learning, high dimensional approximations, nonlocal and fractional elliptic problems, gradient flows, hyperbolic conservation laws, Maxwell's equations, Stokes's equations, a posteriori error estimation, and iterative methods. Together they provide a snapshot of significant achievements in the past quarter century in computational mathematics and also in important current trends.