Triangulations And Simplicial Methods

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Triangulations and Simplicial Methods

Author : Chuangyin Dang
Publisher : Springer Science & Business Media
ISBN 13 : 3642487750
Total Pages : 199 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Triangulations and Simplicial Methods by : Chuangyin Dang

Download or read book Triangulations and Simplicial Methods written by Chuangyin Dang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Recent Advances in Nonsmooth Optimization

Author : Dingzhu Du
Publisher : World Scientific
ISBN 13 : 9789810222659
Total Pages : 488 pages
Book Rating : 4.2/5 (226 download)

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Book Synopsis Recent Advances in Nonsmooth Optimization by : Dingzhu Du

Download or read book Recent Advances in Nonsmooth Optimization written by Dingzhu Du and published by World Scientific. This book was released on 1995 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonsmooth optimization covers the minimization or maximization of functions which do not have the differentiability properties required by classical methods. The field of nonsmooth optimization is significant, not only because of the existence of nondifferentiable functions arising directly in applications, but also because several important methods for solving difficult smooth problems lead directly to the need to solve nonsmooth problems, which are either smaller in dimension or simpler in structure.This book contains twenty five papers written by forty six authors from twenty countries in five continents. It includes papers on theory, algorithms and applications for problems with first-order nondifferentiability (the usual sense of nonsmooth optimization) second-order nondifferentiability, nonsmooth equations, nonsmooth variational inequalities and other problems related to nonsmooth optimization.

Simplicial Partitions with Applications to the Finite Element Method

Author : Jan Brandts
Publisher : Springer Nature
ISBN 13 : 3030556778
Total Pages : 197 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Simplicial Partitions with Applications to the Finite Element Method by : Jan Brandts

Download or read book Simplicial Partitions with Applications to the Finite Element Method written by Jan Brandts and published by Springer Nature. This book was released on 2020-10-05 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method. This active area of research has become an essential part of physics and engineering, for example in the study of problems involving heat conduction, linear elasticity, semiconductors, Maxwell's equations, Einstein's equations and magnetic and gravitational fields. These problems require the simulation of various phenomena and physical fields over complicated structures in three (and higher) dimensions. Since not all structures can be decomposed into simpler objects like d-dimensional rectangular blocks, simplicial partitions are important. In this book an emphasis is placed on angle conditions guaranteeing the convergence of the finite element method for elliptic PDEs with given boundary conditions. It is aimed at a general mathematical audience who is assumed to be familiar with only a few basic results from linear algebra, geometry, and mathematical and numerical analysis.

The Geometry of Dynamical Triangulations

Author : Jan Ambjorn
Publisher : Springer Science & Business Media
ISBN 13 : 3540694277
Total Pages : 207 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis The Geometry of Dynamical Triangulations by : Jan Ambjorn

Download or read book The Geometry of Dynamical Triangulations written by Jan Ambjorn and published by Springer Science & Business Media. This book was released on 2009-02-17 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The express purpose of these lecture notes is to go through some aspects of the simplicial quantum gravity model known as the dynamical triangula tions approach. Emphasis has been on laying the foundations of the theory and on illustrating its subtle and often unexplored connections with many distinct mathematical fields ranging from global Riemannian geometry, to moduli theory, number theory, and topology. Our exposition will concentrate on these points so that graduate students may find in these notes a useful exposition of some of the rigorous results one can -establish in this field and hopefully a source of inspiration for new exciting problems. We try as far as currently possible to expose the interplay between the analytical aspects of dynamical triangulations and the results of Monte Carlo simulations. The techniques described here are rather novel and allow us to address points of current interest in the subject of simplicial quantum gravity while requiring very little in the way of fancy field-theoretical arguments. As a consequence, these notes contain mostly original and until now unpublished material, which will hopefully be of interest both to the expert practitioner and to graduate students entering the field. Among the topics addressed here in considerable detail are the following. (i) An analytical discussion of the geometry of dynamical triangulations in dimensions n == 3 and n == 4.

Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

Author : Tarek Mathew
Publisher : Springer Science & Business Media
ISBN 13 : 354077209X
Total Pages : 775 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations by : Tarek Mathew

Download or read book Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations written by Tarek Mathew and published by Springer Science & Business Media. This book was released on 2008-06-25 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: Domain decomposition methods are divide and conquer computational methods for the parallel solution of partial differential equations of elliptic or parabolic type. The methodology includes iterative algorithms, and techniques for non-matching grid discretizations and heterogeneous approximations. This book serves as a matrix oriented introduction to domain decomposition methodology. A wide range of topics are discussed include hybrid formulations, Schwarz, and many more.

Algorithms - ESA 2009

Author : Amos Fiat
Publisher : Springer Science & Business Media
ISBN 13 : 3642041272
Total Pages : 807 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Algorithms - ESA 2009 by : Amos Fiat

Download or read book Algorithms - ESA 2009 written by Amos Fiat and published by Springer Science & Business Media. This book was released on 2009-09-03 with total page 807 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 17th Annual European Symposium on Algorithms, ESA 2009, held in Copenhagen, Denmark, in September 2009 in the context of the combined conference ALGO 2009. The 67 revised full papers presented together with 3 invited lectures were carefully reviewed and selected: 56 papers out of 222 submissions for the design and analysis track and 10 out of 36 submissions in the engineering and applications track. The papers are organized in topical sections on trees, geometry, mathematical programming, algorithmic game theory, navigation and routing, graphs and point sets, bioinformatics, wireless communiations, flows, matrices, compression, scheduling, streaming, online algorithms, bluetooth and dial a ride, decomposition and covering, algorithm engineering, parameterized algorithms, data structures, and hashing and lowest common ancestor.

Probabilistic Methods for Efficient Triangulations of the N-cube

Author : Jason Michael Ribando
Publisher :
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Probabilistic Methods for Efficient Triangulations of the N-cube by : Jason Michael Ribando

Download or read book Probabilistic Methods for Efficient Triangulations of the N-cube written by Jason Michael Ribando and published by . This book was released on 2000 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The D1-triangulation in Simplicial Variable Dimension Algorithms on the Unit Simplex for Computing Fixed Points

Author : Chuangyin Dang
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (63 download)

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Book Synopsis The D1-triangulation in Simplicial Variable Dimension Algorithms on the Unit Simplex for Computing Fixed Points by : Chuangyin Dang

Download or read book The D1-triangulation in Simplicial Variable Dimension Algorithms on the Unit Simplex for Computing Fixed Points written by Chuangyin Dang and published by . This book was released on 1990 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear and Integer Programming vs Linear Integration and Counting

Author : Jean-Bernard Lasserre
Publisher : Springer Science & Business Media
ISBN 13 : 0387094148
Total Pages : 167 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Linear and Integer Programming vs Linear Integration and Counting by : Jean-Bernard Lasserre

Download or read book Linear and Integer Programming vs Linear Integration and Counting written by Jean-Bernard Lasserre and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, and linear summation (or counting). The book provides some new insights on duality concepts for integer programs.

Elliptic and Parabolic Methods in Geometry

Author : Ben Chow
Publisher : CRC Press
ISBN 13 : 1439864519
Total Pages : 216 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Elliptic and Parabolic Methods in Geometry by : Ben Chow

Download or read book Elliptic and Parabolic Methods in Geometry written by Ben Chow and published by CRC Press. This book was released on 1996-10-15 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book documents the results of a workshop held at the Geometry Center (University of Minnesota, Minneapolis) and captures the excitement of the week.

Algorithms in Structural Molecular Biology

Author : Bruce R. Donald
Publisher : MIT Press
ISBN 13 : 0262548798
Total Pages : 497 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Algorithms in Structural Molecular Biology by : Bruce R. Donald

Download or read book Algorithms in Structural Molecular Biology written by Bruce R. Donald and published by MIT Press. This book was released on 2023-08-15 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of algorithms important to computational structural biology that addresses such topics as NMR and design and analysis of proteins.Using the tools of information technology to understand the molecular machinery of the cell offers both challenges and opportunities to computational scientists. Over the past decade, novel algorithms have been developed both for analyzing biological data and for synthetic biology problems such as protein engineering. This book explains the algorithmic foundations and computational approaches underlying areas of structural biology including NMR (nuclear magnetic resonance); X-ray crystallography; and the design and analysis of proteins, peptides, and small molecules. Each chapter offers a concise overview of important concepts, focusing on a key topic in the field. Four chapters offer a short course in algorithmic and computational issues related to NMR structural biology, giving the reader a useful toolkit with which to approach the fascinating yet thorny computational problems in this area. A recurrent theme is understanding the interplay between biophysical experiments and computational algorithms. The text emphasizes the mathematical foundations of structural biology while maintaining a balance between algorithms and a nuanced understanding of experimental data. Three emerging areas, particularly fertile ground for research students, are highlighted: NMR methodology, design of proteins and other molecules, and the modeling of protein flexibility. The next generation of computational structural biologists will need training in geometric algorithms, provably good approximation algorithms, scientific computation, and an array of techniques for handling noise and uncertainty in combinatorial geometry and computational biophysics. This book is an essential guide for young scientists on their way to research success in this exciting field.

Polytopes - Combinations and Computation

Author : Gil Kalai
Publisher : Birkhäuser
ISBN 13 : 3034884389
Total Pages : 228 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Polytopes - Combinations and Computation by : Gil Kalai

Download or read book Polytopes - Combinations and Computation written by Gil Kalai and published by Birkhäuser. This book was released on 2012-12-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Questions that arose from linear programming and combinatorial optimization have been a driving force for modern polytope theory, such as the diameter questions motivated by the desire to understand the complexity of the simplex algorithm, or the need to study facets for use in cutting plane procedures. In addition, algorithms now provide the means to computationally study polytopes, to compute their parameters such as flag vectors, graphs and volumes, and to construct examples of large complexity. The papers of this volume thus display a wide panorama of connections of polytope theory with other fields. Areas such as discrete and computational geometry, linear and combinatorial optimization, and scientific computing have contributed a combination of questions, ideas, results, algorithms and, finally, computer programs.

Topology-based Methods in Visualization

Author : Helwig Hauser
Publisher : Springer Science & Business Media
ISBN 13 : 3540708235
Total Pages : 221 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Topology-based Methods in Visualization by : Helwig Hauser

Download or read book Topology-based Methods in Visualization written by Helwig Hauser and published by Springer Science & Business Media. This book was released on 2007-05-24 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents 13 peer-reviewed papers as written results from the 2005 workshop "Topology-Based Methods in Visualization" that was initiated to enable additional stimulation in this field. It contains a survey of the state-of-the-art, as well original work by leading experts that has not been published before, spanning both theory and applications. It captures key concepts and novel ideas and serves as an overview of current trends in its subject.

Simplicial Algorithms on the Simplotope

Author : Timothy M. Doup
Publisher : Springer Science & Business Media
ISBN 13 : 3642466516
Total Pages : 264 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Simplicial Algorithms on the Simplotope by : Timothy M. Doup

Download or read book Simplicial Algorithms on the Simplotope written by Timothy M. Doup and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1.1. Introduction Solving systems of nonlinear equations has since long been of great interest to researchers in the field of economics, mathematics, en gineering, and many other professions. Many problems such as finding an equilibrium, a zero point, or a fixed point, can be formulated as the problem of finding a solution to a system of nonlinear equations. There are many methods to solve the nonlinear system such as Newton's method, the homotopy method, and the simplicial method. In this monograph we mainly consider the simplicial method. Traditionally, the zero point and fixed point problem have been solved by iterative methods such as Newton's method and modifications thereof. Among the difficulties which may cause an iterative method to perform inefficiently or even fail are: the lack of good starting points, slow convergence, and the lack of smoothness of the underlying function. These difficulties have been partly overcome by the introduction of homo topy methods.

Reviews in Numerical Analysis, 1980-86

Author :
Publisher :
ISBN 13 :
Total Pages : 744 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Reviews in Numerical Analysis, 1980-86 by :

Download or read book Reviews in Numerical Analysis, 1980-86 written by and published by . This book was released on 1987 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: These five volumes bring together a wealth of bibliographic information in the area of numerical analysis. Containing over 17,600 reviews of articles, books, and conference proceedings, these volumes represent all the numerical analysis entries that appeared in Mathematical Reviews between 1980 and 1986. Author and key indexes appear at the end of volume 5.

Encyclopedia of Optimization

Author : Christodoulos A. Floudas
Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Encyclopedia of Optimization by : Christodoulos A. Floudas

Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Computer Vision, Virtual Reality and Robotics in Medicine

Author : Nicholas Ayache
Publisher : Springer
ISBN 13 : 354049197X
Total Pages : 564 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Computer Vision, Virtual Reality and Robotics in Medicine by : Nicholas Ayache

Download or read book Computer Vision, Virtual Reality and Robotics in Medicine written by Nicholas Ayache and published by Springer. This book was released on 2006-04-10 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the written contributions to the program of the First In ternational Conference on Computer Vision, Virtual Reality, and Robotics in Medicine (CVRMed'95) held in Nice during the period April 3-6, 1995. The articles are regrouped into a number of thematic sessions which cover the three major topics of the field: medical image understanding, registration problems in medicine, and therapy planning, simulation and control. The objective of the conference is not only to present the most innovative and promising research work but also to highlight research trends and to foster dialogues and debates among participants. This event was decided after a preliminary successful symposium organized in Stanford in March 1994 by E. Grimson (MIT), T. Kanade (CMU), R. Kikinis and W. Wells (Chair) (both at Harvard Medical School and Brigham and Women's Hospital), and myself (INRIA). We received 92 submitted full papers, and each one was evaluated by at least three members of the Program Committee, with the help of auxiliary reviewers. Based on these evaluations, a representative subset of the Program Committee met to select 19 long papers, 29 regular papers, and 27 posters. The geographical repartition of the contributions is the following: 24 from European countries (other than France), 23 contributions from France, 20 from Northern America (USA and Canada), and 8 from Asia (Japan and Singapore).