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Numerical Analysis of Multiscale Computations, Bj?rn Engquist; Olof Runborg; Yen-Hsi R. Tsai


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Автор: Bj?rn Engquist; Olof Runborg; Yen-Hsi R. Tsai
Название:  Numerical Analysis of Multiscale Computations
ISBN: 9783642269707
Издательство: Springer
Классификация:



ISBN-10: 3642269702
Обложка/Формат: Paperback
Страницы: 430
Вес: 0.61 кг.
Дата издания: 29.11.2013
Серия: Lecture Notes in Computational Science and Engineering
Язык: English
Размер: 234 x 156 x 23
Основная тема: Mathematics
Подзаголовок: Proceedings of a Winter Workshop at the Banff International Research Station 2009
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: It covers fundamental mathematical theory, numerical algorithms as well as practical computational advice for analysing single and multiphysics models containing a variety of scales in time and space.


Numerical Analysis of Multiscale Problems

Автор: Ivan G. Graham; Thomas Y. Hou; Omar Lakkis; Robert
Название: Numerical Analysis of Multiscale Problems
ISBN: 3642431240 ISBN-13(EAN): 9783642431241
Издательство: Springer
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Цена: 8378.00 р.
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Описание: Articles cover the analysis of forward and inverse PDE problems in heterogeneous media, high-frequency wave propagation, atomistic-continuum modeling and high-dimensional problems arising in modeling uncertainty.

Multiscale Methods

Автор: Pavliotis
Название: Multiscale Methods
ISBN: 0387738282 ISBN-13(EAN): 9780387738284
Издательство: Springer
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Цена: 9781.00 р.
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Описание: The book is meant to be an introduction, aimed primarily towards graduate students. Part I of the book (theoretical foundations) and Part III of the book (proving theorems concerning simplified versions of the models that are studied in Part II) are necessarily terse and present the wide range of applications of the ideas, and illustrate their unity. The subject matter in these set of notes has, for the most part, been known for several decades. However, the particular presentation of the material here is particularly suited to the pedagogical goal of communicating the subject area to the wide range of mathematicians, scientists and engineers who are currently engaged in the use of these tools to tackle the enormous range of applications that require them.Extensions and generalizations of the results presented in these notes, as well as references to the literature, are given in the Discussion and Bibliography section, at the end of each chapter. With the exception of Chapter 1, all chapters are supplemented with exercises.

Computations and combinatorics in commutative algebra

Название: Computations and combinatorics in commutative algebra
ISBN: 3319513184 ISBN-13(EAN): 9783319513188
Издательство: Springer
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Цена: 8384.00 р.
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Описание: Featuring up-to-date coverage of three topics lying at the intersection of combinatorics and commutative algebra, namely Koszul algebras, primary decompositions and subdivision operations in simplicial complexes, this book has its focus on computations.

Numerical Methods in Matrix Computations

Автор: ?ke Bj?rck
Название: Numerical Methods in Matrix Computations
ISBN: 3319356143 ISBN-13(EAN): 9783319356143
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems.

Pseudo-Differential Operators: Analysis, Applications and Computations

Автор: Luigi Rodino; M. W. Wong; Hongmei Zhu
Название: Pseudo-Differential Operators: Analysis, Applications and Computations
ISBN: 3034803230 ISBN-13(EAN): 9783034803236
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Based on the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London, this volume provides pseudo-differential operators. Topics include the analysis, applications and computations of pseudo-differential operators in mathematics.

Optimum Aerodynamic Design & Parallel Navier-Stokes Computations ECARP — European Computational Aerodynamics Research Project

Автор: Jacques Periaux; Stephane Lanteri; Panagiotis Chav
Название: Optimum Aerodynamic Design & Parallel Navier-Stokes Computations ECARP — European Computational Aerodynamics Research Project
ISBN: 3322901955 ISBN-13(EAN): 9783322901958
Издательство: Springer
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Цена: 16979.00 р.
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Описание: This volume entitled "European Computational Aerodynamics Research Project (ECARP)" contains the contributions of partners presented in two work- shops focused on the following areas: Task 3 on Optimum Design and Task 4.2 on Navier Stokes Flow algorithms on Massively Parallel Processors. ECARP has been supported by the European Union (EU) through the Indus- trial and Materials Technology Programme, Area 3 Aeronautics, with the Third Research Framework Programme (1990-1994). Part A of this volume is focused on computational constrained optimization as a follow up of the EU research project" Optimum Design in Aerodynamics," (AERO-S9-0026) dealing with more viscous flow based real applications. It pro- vides the reader with a set of optimization tools and referenced data useful in modern aerodynamic design. Task 3 of the project entitled "Optimum Design" brought together 13 Euro- pean partners from the academic and industrial aeronautic oriented community showing state of the art expertise in traditional automated optimization software on current computer technology to improve the capability to optimize aircraft shapes.

Geospatial Algebraic Computations

Автор: Joseph Awange; B?la Pal?ncz
Название: Geospatial Algebraic Computations
ISBN: 3319254634 ISBN-13(EAN): 9783319254630
Издательство: Springer
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Цена: 20896.00 р.
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Описание: It is in realization that such huge amount of data requires efficient and robust mathematical solutions that this third edition of the book extends the second edition by introducing three new chapters: Robust parameter estimation, Multiobjective optimization and Symbolic regression.

Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications

Автор: Michele Benzi; Dario Bini; Daniel Kressner; Hans M
Название: Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications
ISBN: 331949886X ISBN-13(EAN): 9783319498867
Издательство: Springer
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Цена: 10480.00 р.
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Описание: Focusing on special matrices and matrices which are in some sense `near` to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra.

Computations with Modular Forms

Автор: Gebhard B?ckle; Gabor Wiese
Название: Computations with Modular Forms
ISBN: 331903846X ISBN-13(EAN): 9783319038469
Издательство: Springer
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Цена: 23757.00 р.
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Описание: Part I Summer School: Lectures on Computing Cohomology of Arithmetic Groups by P.E. Gunnells.- Computing with Algebraic Automorphic Forms by D. Loeffler.- Overconvergent Modular Symbols by R. Pollack.- Part II Conference and Research Contributions: Congruence Subgroups, Cusps and Manin Symbols over Number Fields by J. E. Cremona and M. T. Aranйs.- Computing Weight One Modular Forms over C and Fp by K. Buzzard.- Lattice Methods for Algebraic Modular Forms on Classical Groups by M. Greenberg and J. Voight.- Efficient Computation of Rankin p-Adic L-Functions by A.G.B. Lauder.- Formes Modulaires Modulo 2 et Composantes Rйelles de Jacobiennes Modulaires by L.Merel.- Universal Hecke L-Series Associated with Cuspidal Eigenforms over Imaginary Quadratic Fields by A. Mohamed.- On Higher Congruences Between Cusp Forms and Eisenstein Series by B. Naskrecki.- Arithmetic Aspects of Bianchi Groups by M.H.Sengьn.- A Possible Generalization of Maeda's Conjecture by P. Tsaknias.- Computing Power Series Expansions of Modular Forms by J. Voight and J. Willis.- Computing Modular Forms for GL2 over Certain Number Fields by D. Yasaki.

Computations with Modular Forms

Автор: Gebhard B?ckle; Gabor Wiese
Название: Computations with Modular Forms
ISBN: 3319354795 ISBN-13(EAN): 9783319354798
Издательство: Springer
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Цена: 17468.00 р.
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Описание: Part I Summer School: Lectures on Computing Cohomology of Arithmetic Groups by P.E. Gunnells.- Computing with Algebraic Automorphic Forms by D. Loeffler.- Overconvergent Modular Symbols by R. Pollack.- Part II Conference and Research Contributions: Congruence Subgroups, Cusps and Manin Symbols over Number Fields by J. E. Cremona and M. T. Aranйs.- Computing Weight One Modular Forms over C and Fp by K. Buzzard.- Lattice Methods for Algebraic Modular Forms on Classical Groups by M. Greenberg and J. Voight.- Efficient Computation of Rankin p-Adic L-Functions by A.G.B. Lauder.- Formes Modulaires Modulo 2 et Composantes Rйelles de Jacobiennes Modulaires by L.Merel.- Universal Hecke L-Series Associated with Cuspidal Eigenforms over Imaginary Quadratic Fields by A. Mohamed.- On Higher Congruences Between Cusp Forms and Eisenstein Series by B. Naskrecki.- Arithmetic Aspects of Bianchi Groups by M.H.Sengьn.- A Possible Generalization of Maeda's Conjecture by P. Tsaknias.- Computing Power Series Expansions of Modular Forms by J. Voight and J. Willis.- Computing Modular Forms for GL2 over Certain Number Fields by D. Yasaki.

Inverse Problems and Large-Scale Computations

Автор: Larisa Beilina; Yury V. Shestopalov
Название: Inverse Problems and Large-Scale Computations
ISBN: 3319345125 ISBN-13(EAN): 9783319345123
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This volume is a result of two international workshops, namely the Second Annual Workshop on Inverse Problems and the Workshop on Large-Scale Modeling, held jointly in Sunne, Sweden from May 1-6 2012.

Parallelism in Matrix Computations

Автор: Efstratios Gallopoulos; Bernard Philippe; Ahmed H.
Название: Parallelism in Matrix Computations
ISBN: 9402403175 ISBN-13(EAN): 9789402403176
Издательство: Springer
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Цена: 13059.00 р.
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Описание:

This book is primarily intended as a research monograph that could also be used in graduate courses for the design of parallel algorithms in matrix computations.

It assumes general but not extensive knowledge of numerical linear algebra, parallel architectures, and parallel programming paradigms.

The book consists of four parts: (I) Basics; (II) Dense and Special Matrix Computations; (III) Sparse Matrix Computations; and (IV) Matrix functions and characteristics. Part I deals with parallel programming paradigms and fundamental kernels, including reordering schemes for sparse matrices. Part II is devoted to dense matrix computations such as parallel algorithms for solving linear systems, linear least squares, the symmetric algebraic eigenvalue problem, and the singular-value decomposition. It also deals with the development of parallel algorithms for special linear systems such as banded, Vandermonde, Toeplitz, and block Toeplitz systems. Part III addresses sparse matrix computations: (a) the development of parallel iterative linear system solvers with emphasis on scalable preconditioners, (b) parallel schemes for obtaining a few of the extreme eigenpairs or those contained in a given interval in the spectrum of a standard or generalized symmetric eigenvalue problem, and (c) parallel methods for computing a few of the extreme singular triplets. Part IV focuses on the development of parallel algorithms for matrix functions and special characteristics such as the matrix pseudospectrum and the determinant. The book also reviews the theoretical and practical background necessary when designing these algorithms and includes an extensive bibliography that will be useful to researchers and students alike.

The book brings together many existing algorithms for the fundamental matrix computations that have a proven track record of efficient implementation in terms of data locality and data transfer on state-of-the-art systems, as well as several algorithms that are presented for the first time, focusing on the opportunities for parallelism and algorithm robustness.


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