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Fast direct solvers for elliptic pdes, Martinsson, Per-gunnar


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Автор: Martinsson, Per-gunnar
Название:  Fast direct solvers for elliptic pdes
ISBN: 9781611976038
Издательство: Mare Nostrum (Eurospan)
Классификация:





ISBN-10: 1611976030
Обложка/Формат: Paperback
Страницы: 303
Вес: 0.69 кг.
Дата издания: 30.12.2019
Серия: Cbms-nsf regional conference series in applied mathematics
Язык: English
Размер: 257 x 315 x 22
Читательская аудитория: Professional and scholarly
Ключевые слова: Mathematical theory of computation,Applied mathematics,Integral calculus & equations,Calculus & mathematical analysis,Numerical analysis,Maths for engineers
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Поставляется из: Англии
Описание: Fast solvers for elliptic PDEs form a pillar of scientific computing. They enable detailed and accurate simulations of electromagnetic fields, fluid flows, biochemical processes, and much more. This textbook provides an introduction to fast solvers from the point of view of integral equation formulations, which lead to unparalleled accuracy and speed in many applications. The focus is on fast algorithms for handling dense matrices that arise in the discretization of integral operators, such as the fast multipole method and fast direct solvers. While the emphasis is on techniques for dense matrices, the text also describes how similar techniques give rise to linear complexity algorithms for computing the inverse or the LU factorization of a sparse matrix resulting from the direct discretization of an elliptic PDE.This is the first textbook to detail the active field of fast direct solvers, introducing readers to modern linear algebraic techniques for accelerating computations, such as randomized algorithms, interpolative decompositions, and data-sparse hierarchical matrix representations. Written with an emphasis on mathematical intuition rather than theoretical details, it is richly illustrated and provides pseudocode for all key techniques.Fast Direct Solvers for Elliptic PDEs is appropriate for graduate students in applied mathematics and scientific computing, engineers and scientists looking for an accessible introduction to integral equation methods and fast solvers, and researchers in computational mathematics who want to quickly catch up on recent advances in randomized algorithms and techniques for working with data-sparse matrices.
Дополнительное описание: Applied mathematics|Numerical analysis|Integral calculus and equations|Mathematical theory of computation|Maths for engineers


Автор: Eleuterio F. Toro
Название: Riemann Solvers and Numerical Methods for Fluid Dynamics
ISBN: 3642064388 ISBN-13(EAN): 9783642064388
Издательство: Springer
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Цена: 279500.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: High resolution upwind and centred methods are a mature generation of computational techniques applicable to a range of disciplines, Computational Fluid Dynamics being the most prominent. This book gives a practical presentation of this class of techniques.

Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems

Автор: Clemens Pechstein
Название: Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems
ISBN: 3642444385 ISBN-13(EAN): 9783642444388
Издательство: Springer
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Цена: 121110.00 T
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Описание: Tearing and interconnecting methods, such as FETI, FETI-DP, BETI, etc., are among the most successful domain decomposition solvers for partial differential equations.

Developments and Applications of Block Toeplitz Iterative Solvers

Автор: Xiao-Qing Jin
Название: Developments and Applications of Block Toeplitz Iterative Solvers
ISBN: 9048161061 ISBN-13(EAN): 9789048161065
Издательство: Springer
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Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Toeplitz systems arise in a variety of applications in mathematics, scientific computing, and engineering, such as image processing, numerical differential equations and integral equations, time series analysis, and control theory. This title contains the advanced developments in the use of iterative methods to block Toeplitz systems.

Discretization Methods and Iterative Solvers Based on Domain Decomposition

Автор: Barbara I. Wohlmuth
Название: Discretization Methods and Iterative Solvers Based on Domain Decomposition
ISBN: 354041083X ISBN-13(EAN): 9783540410836
Издательство: Springer
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Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering.

Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization: From a Game Theoretic Approach to Numerical Approximation and Algorithm Design

Автор: Houman Owhadi, Clint Scovel
Название: Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization: From a Game Theoretic Approach to Numerical Approximation and Algorithm Design
ISBN: 1108484360 ISBN-13(EAN): 9781108484367
Издательство: Cambridge Academ
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Цена: 155230.00 T
Наличие на складе: Поставка под заказ.
Описание: This book, meant for graduate students and researchers, explores the connections between numerical approximation and statistical inference from a game and decision theoretic perspective, and illustrates these interplays by addressing problems related to numerical homogenization, operator adapted wavelets, and fast solvers.

Fluid-Structure Interaction: Modeling, Adaptive Discretisations and Solvers

Автор: Stefan Frei, B?rbel Holm, Thomas Richter, Thomas W
Название: Fluid-Structure Interaction: Modeling, Adaptive Discretisations and Solvers
ISBN: 3110495279 ISBN-13(EAN): 9783110495270
Издательство: Walter de Gruyter
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Цена: 148700.00 T
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Описание: This monograph discusses modeling, adaptive discretisation techniques and the numerical solution of fluid structure interaction. An emphasis in part I lies on innovative discretisation and advanced interface resolution techniques. The second part covers the efficient and robust numerical solution of fluid-structure interaction. In part III, recent advances in the application fields vascular flows, binary-fluid-solid interaction, and coupling to fractures in the solid part are presented. Moreover each chapter provides a comprehensive overview in the respective topics including many references to concurring state-of-the art work. ContentsPart I: Modeling and discretizationOn the implementation and benchmarking of an extended ALE method for FSI problemsThe locally adapted parametric finite element method for interface problems on triangular meshesAn accurate Eulerian approach for fluid-structure interactions Part II: SolversNumerical methods for unsteady thermal fluid structure interactionRecent development of robust monolithic fluid-structure interaction solversA monolithic FSI solver applied to the FSI 1,2,3 benchmarks Part III: ApplicationsFluid-structure interaction for vascular flows: From supercomputers to laptopsBinary-fluid–solid interaction based on the Navier–Stokes–Cahn–Hilliard EquationsCoupling fluid-structure interaction with phase-field fracture: Algorithmic details

Efficient Solvers for Incompressible Flow Problems

Автор: Stefan Turek
Название: Efficient Solvers for Incompressible Flow Problems
ISBN: 3642635733 ISBN-13(EAN): 9783642635731
Издательство: Springer
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Цена: 46570.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A discussion of recent numerical and algorithmic tools for the solution of certain flow problems arising in CFD, which are governed by the incompressible Navier-Stokes equations.

Modern solvers for Helmholtz problems

Автор: Domenico Lahaye; Jok Tang; Kees Vuik
Название: Modern solvers for Helmholtz problems
ISBN: 3319288318 ISBN-13(EAN): 9783319288314
Издательство: Springer
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Цена: 93160.00 T
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Описание: Various methods can be used: (high order) Finite Difference Method, Finite Element Method, Discontinuous Galerkin Method and Boundary Element Method.

Parallel-Vector Equation Solvers for Finite Element Engineering Applications

Автор: Duc Thai Nguyen
Название: Parallel-Vector Equation Solvers for Finite Element Engineering Applications
ISBN: 1461355044 ISBN-13(EAN): 9781461355045
Издательство: Springer
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Цена: 139750.00 T
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Описание: Despite the ample number of articles on parallel-vector computational algorithms published over the last 20 years, there is a lack of texts in the field customized for senior undergraduate and graduate engineering research.


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