The D1 Triangulation For Simplicial Deformation Algorithms For Computing Solutions Of Nonlinear Equations PDF Download

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Triangulations and Simplicial Methods

Triangulations and Simplicial Methods
Author: Chuangyin Dang
Publisher: Springer Science & Business Media
Total Pages: 199
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642487750

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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. This monograph describes some recent developments in triangulations and simplicial methods. It includes the D1-triangulation and its applications to simplicial methods. As a result, efficiency of simplicial methods has been improved significantly. Thus more effective simplicial methods have been developed.


Handbook of Global Optimization

Handbook of Global Optimization
Author: R. Horst
Publisher: Springer Science & Business Media
Total Pages: 891
Release: 2013-12-11
Genre: Mathematics
ISBN: 1461520258

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Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. During the past three decades the field of global optimization has been growing at a rapid pace, and the number of publications on all aspects of global optimization has been increasing steadily. Many applications, as well as new theoretical, algorithmic, and computational contributions have resulted. The Handbook of Global Optimization is the first comprehensive book to cover recent developments in global optimization. Each contribution in the Handbook is essentially expository in nature, but scholarly in its treatment. The chapters cover optimality conditions, complexity results, concave minimization, DC programming, general quadratic programming, nonlinear complementarity, minimax problems, multiplicative programming, Lipschitz optimization, fractional programming, network problems, trajectory methods, homotopy methods, interval methods, and stochastic approaches. The Handbook of Global Optimization is addressed to researchers in mathematical programming, as well as all scientists who use optimization methods to model and solve problems.


Geometric and Topological Inference

Geometric and Topological Inference
Author: Jean-Daniel Boissonnat
Publisher: Cambridge University Press
Total Pages: 247
Release: 2018-09-27
Genre: Computers
ISBN: 1108419399

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A rigorous introduction to geometric and topological inference, for anyone interested in a geometric approach to data science.


Automated Solution of Differential Equations by the Finite Element Method

Automated Solution of Differential Equations by the Finite Element Method
Author: Anders Logg
Publisher: Springer Science & Business Media
Total Pages: 723
Release: 2012-02-24
Genre: Computers
ISBN: 3642230997

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This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.


Mathematical Visualization

Mathematical Visualization
Author: H.-C. Hege
Publisher: Springer Science & Business Media
Total Pages: 422
Release: 1998-10-20
Genre: Mathematics
ISBN: 9783540639916

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Mathematical Visualization is a young new discipline. It offers efficient visualization tools to the classical subjects of mathematics, and applies mathematical techniques to problems in computer graphics and scientific visualization. Originally, it started in the interdisciplinary area of differential geometry, numerical mathematics, and computer graphics. In recent years, the methods developed have found important applications. The current volume is the quintessence of an international workshop in September 1997 in Berlin, focusing on recent developments in this emerging area. Experts present selected research work on new algorithms for visualization problems, describe the application and experiments in geometry, and develop new numerical or computer graphical techniques.