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Simplicial Partitions with Applications to the Finite Element Method, Brandts Jan, Korotov Sergey, Křнzek Michal


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Автор: Brandts Jan, Korotov Sergey, Křнzek Michal
Название:  Simplicial Partitions with Applications to the Finite Element Method
ISBN: 9783030556761
Издательство: Springer
Классификация:



ISBN-10: 303055676X
Обложка/Формат: Hardcover
Страницы: 188
Вес: 0.47 кг.
Дата издания: 16.11.2020
Язык: English
Размер: 23.39 x 15.60 x 1.27 cm
Ссылка на Издательство: Link
Поставляется из: Германии
Описание: This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method.


Simplicial Algorithms for Minimizing Polyhedral Functions

Автор: Osborne
Название: Simplicial Algorithms for Minimizing Polyhedral Functions
ISBN: 1107403502 ISBN-13(EAN): 9781107403505
Издательство: Cambridge Academ
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Цена: 6019.00 р.
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Описание: This book, first published in 2001, provides a general account of the development of simplicial algorithms. These include the ubiquitous simplex method of linear programming, widely used in industrial optimization and strategic decision making. They also include methods important in data analysis, such as problems involving very large data sets.

Triangulations and Simplicial Methods

Автор: Chuangyin Dang
Название: Triangulations and Simplicial Methods
ISBN: 3540588388 ISBN-13(EAN): 9783540588382
Издательство: Springer
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Цена: 15372.00 р.
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Описание: As a new type of technique, simplicial methods have yielded extremely important contributions toward solutions of a system of nonlinear equations. Theoretical investigations and numerical tests have shown that the performance of simplicial methods depends critically on the triangulations underlying them.

The Partition Method for a Power Series Expansion

Автор: Kowalenko, Victor
Название: The Partition Method for a Power Series Expansion
ISBN: 0128044667 ISBN-13(EAN): 9780128044667
Издательство: Elsevier Science
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Цена: 11706.00 р.
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Описание:

The Partition Method for a Power Series Expansion: Theory and Applications explores how the method known as 'the partition method for a power series expansion', which was developed by the author, can be applied to a host of previously intractable problems in mathematics and physics.

In particular, this book describes how the method can be used to determine the Bernoulli, cosecant, and reciprocal logarithm numbers, which appear as the coefficients of the resulting power series expansions, then also extending the method to more complicated situations where the coefficients become polynomials or mathematical functions. From these examples, a general theory for the method is presented, which enables a programming methodology to be established.

Finally, the programming techniques of previous chapters are used to derive power series expansions for complex generating functions arising in the theory of partitions and in lattice models of statistical mechanics.

The Finite Element Method and Applications in Engineering Using ANSYS®

Автор: Erdogan Madenci; Ibrahim Guven
Название: The Finite Element Method and Applications in Engineering Using ANSYS®
ISBN: 148997735X ISBN-13(EAN): 9781489977359
Издательство: Springer
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Цена: 13974.00 р.
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Описание:

The Finite Element Method and Applications with ANSYS(R) provides the reader with theoretical and practical knowledge of the finite element method and with the skills required to analyze engineering problems with ANSYS(R), a commercially available FEA program. This self-contained, introductory text minimizes the need for additional reference material, covering the fundamental topics in finite element methods as well as advanced topics concerning modeling and analysis with ANSYS(R). These topics are introduced through extensive examples from various engineering disciplines, presented in a step-by-step fashion. The book focuses on the use of ANSYS(R) through both the Graphics User Interface (GUI) and the ANSYS(R) Parametric Design Language (APDL).

The text details more than 40 example problems, with solutions demonstrated in a step-by-step fashion, primarily through the use of GUI and, to a lesser extent, APDL.

Furthermore, it includes a CD-ROM with the "input" files for the example problems so that readers can regenerate them on their own computers, as well as the colored figures and screen shots.

Students, researchers, and practicing engineers will find this an essential reference for use in predicting and simulating the physical behavior of complex engineering systems using ANSYS(R).

Simplicial Partitions with Applications to the Finite Element Method

Автор: Brandts Jan, Korotov Sergey, Křнzek Michal
Название: Simplicial Partitions with Applications to the Finite Element Method
ISBN: 3030556794 ISBN-13(EAN): 9783030556792
Издательство: Springer
Цена: 16769.00 р.
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Описание: This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method.

Simplicial Global Optimization

Автор: Remigijus Paulavi?ius; Julius ?ilinskas
Название: Simplicial Global Optimization
ISBN: 1461490928 ISBN-13(EAN): 9781461490920
Издательство: Springer
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Цена: 6986.00 р.
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Описание: A comparison of various Lipschitz bounds over simplices and an extension of Lipschitz global optimization with-out the Lipschitz constant to the case of simplicial partitioning is also depicted in this text.

Nested Partitions Method, Theory and Applications

Автор: Leyuan Shi; Sigurdur ?lafsson
Название: Nested Partitions Method, Theory and Applications
ISBN: 1441944206 ISBN-13(EAN): 9781441944207
Издательство: Springer
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Цена: 14673.00 р.
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Описание: There is an ever-increasing need to solve optimization problems in a wide variety of science and engineering applications. This up-to-date and highly relevant book provides a cutting-edge research tool to use for large-scale, complex systems optimization.

Simplicial Complexes In Complex Systems: In Search For Alternatives

Автор: Yi Zhao
Название: Simplicial Complexes In Complex Systems: In Search For Alternatives
ISBN: 9811226318 ISBN-13(EAN): 9789811226311
Издательство: World Scientific Publishing
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Цена: 11088.00 р.
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Описание: For the last few decades researchers from different fields gather their findings and knowledge trying to give a shape to the new science of complex systems. To address this problem, new tools and methods have to be established. A new, or more precisely an alternative, framework for the characterization of complex system was proposed. In this book we will introduce the applicability of applicability of simplicial complexes in the science of complex systems. After introducing the main definitions and properties of simplicial complexes necessary for representation and analysis of complex systems, we will illustrate the usefulness and versatility of tools and concepts related to the simplicial complexes.

Random Matrices And Random Partitions: Normal Convergence

Автор: Su Zhonggen
Название: Random Matrices And Random Partitions: Normal Convergence
ISBN: 9814612227 ISBN-13(EAN): 9789814612227
Издательство: World Scientific Publishing
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Цена: 13939.00 р.
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Описание: This Book Is Aimed At Graduate Students And Researchers Who Are Interested In The Probability Limit Theory Of Random Matrices And Random Partitions. It Mainly Consists Of Three Parts. Part I Is A Brief Review Of Classical Central Limit Theorems For Sums Of Independent Random Variables, Martingale Sequences And Markov Chains, Etc. These Classical Theorems Are Frequently Used In The Study Of Random Matrices And Random Partitions Where Random Matrices Are Well-Studied In Probability Theory. Part Ii Concentrates On The Asymptotic Distribution Theory Of Circular Unitary Ensemble And Gaussian Unitary Ensemble, Which Are Prototypes Of Random Matrix Theory. It Turns Out That The Classical Central Limit Theorems And Methods Are Applicable In Describing Asymptotic Distributions Of Eigenvalue Statistics Like Linear Functionals Of Eigenvalues. This Is Attributed To The Nice Algebraic Structures Of Models. This Part Also Studies The Circular β Ensembles And Gaussian β Ensembles, Which May Be Viewed As Extensions Of The Circular Unitary Ensemble And Gaussian Unitary Ensemble. Part Iii Is Devoted To The Study Of Random Uniform And Plancherel Partitions. As Is Known, There Is A Surprising Similarity Between Random Matrices And Random Integer Partitions From The Viewpoint Of Asymptotic Distribution Theory, Though It Is Difficult To Find Any Direct Link Between The Two Finite Models.This Book Treats Only Second-Order Fluctuations For Primary Random Variables From Two Classes Of Special Random Models. It Is Written In A Clear, Concise And Pedagogical Way. It May Be Read As An Introductory Text To Further Study Probability Theory Of General Random Matrices, Random Partitions And Even Random Point Processes. This Book Is Aimed At Graduate Students And Researchers Who Are Interested In Probability Limit Theory Of Random Matrices And Random Integer Partitions.

q-Series and Partitions

Автор: Dennis Stanton
Название: q-Series and Partitions
ISBN: 1468406396 ISBN-13(EAN): 9781468406399
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This IMA Volume in Mathematics and its Applications q-Series and Partitions is based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on APPLIED COMBINATORICS.

Transfer Operators, Endomorphisms, and Measurable Partitions

Автор: Bezuglyi
Название: Transfer Operators, Endomorphisms, and Measurable Partitions
ISBN: 3319924168 ISBN-13(EAN): 9783319924168
Издательство: Springer
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Цена: 5589.00 р.
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Описание: The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new set of tools, often quite different from those used for the “easier” and well-documented case of automorphisms. Among them is the construction of a family of positive operators (transfer operators), arising naturally as a dual picture to that of endomorphisms. The setting (close to one initiated by S. Karlin in the context of stochastic processes) is motivated by a number of recent applications, including wavelets, multi-resolution analyses, dissipative dynamical systems, and quantum theory. The automorphism-endomorphism relationship has parallels in operator theory, where the distinction is between unitary operators in Hilbert space and more general classes of operators such as contractions. There is also a non-commutative version: While the study of automorphisms of von Neumann algebras dates back to von Neumann, the systematic study of their endomorphisms is more recent; together with the results in the main text, the book includes a review of recent related research papers, some by the co-authors and their collaborators.

Geometry and Analysis of Metric Spaces Via Weighted Partitions

Автор: Kigami Jun
Название: Geometry and Analysis of Metric Spaces Via Weighted Partitions
ISBN: 3030541533 ISBN-13(EAN): 9783030541538
Издательство: Springer
Цена: 6986.00 р.
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Описание:

The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces. The central notion is a partition (an iterated decomposition) of a compact metric space. Via a partition, a compact metric space is associated with an infinite graph whose boundary is the original space. Metrics and measures on the space are then studied from an integrated point of view as weights of the partition. In the course of the text:

  1. It is shown that a weight corresponds to a metric if and only if the associated weighted graph is Gromov hyperbolic.
  2. Various relations between metrics and measures such as bilipschitz equivalence, quasisymmetry, Ahlfors regularity, and the volume doubling property are translated to relations between weights. In particular, it is shown that the volume doubling property between a metric and a measure corresponds to a quasisymmetry between two metrics in the language of weights.
  3. The Ahlfors regular conformal dimension of a compact metric space is characterized as the critical index of p-energies associated with the partition and the weight function corresponding to the metric.

These notes should interest researchers and PhD students working in conformal geometry, analysis on metric spaces, and related areas.



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