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Author: James Blowey
Publisher: Springer Science & Business Media
ISBN: 9783540418467
Category : Mathematics
Languages : en
Pages : 336
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Book Description
A compilation of detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. The reader should therefore be able to quickly gain an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research is given.
Author: James Blowey
Publisher: Springer Science & Business Media
ISBN: 9783540418467
Category : Mathematics
Languages : en
Pages : 336
Get Book Here
Book Description
A compilation of detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. The reader should therefore be able to quickly gain an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research is given.
Author: James Blowey
Publisher: Springer Science & Business Media
ISBN: 3662043548
Category : Mathematics
Languages : en
Pages : 290
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Book Description
A compilation of detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. The reader should therefore be able to quickly gain an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research is given.
Author: Sasha Cyganowski
Publisher: Springer Science & Business Media
ISBN: 3642561446
Category : Mathematics
Languages : en
Pages : 323
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Book Description
This is an introduction to probabilistic and statistical concepts necessary to understand the basic ideas and methods of stochastic differential equations. Based on measure theory, which is introduced as smoothly as possible, it provides practical skills in the use of MAPLE in the context of probability and its applications. It offers to graduates and advanced undergraduates an overview and intuitive background for more advanced studies.
Author: Sören Bartels
Publisher: Springer
ISBN: 3319137972
Category : Mathematics
Languages : en
Pages : 394
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Book Description
The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.
Author: Alexander Mielke
Publisher: Springer Science & Business Media
ISBN: 3540356576
Category : Mathematics
Languages : en
Pages : 704
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Book Description
This book reports recent mathematical developments in the Programme "Analysis, Modeling and Simulation of Multiscale Problems", which started as a German research initiative in 2006. Multiscale problems occur in many fields of science, such as microstructures in materials, sharp-interface models, many-particle systems and motions on different spatial and temporal scales in quantum mechanics or in molecular dynamics. The book presents current mathematical foundations of modeling, and proposes efficient numerical treatment.
Author: Sergio Conti
Publisher: Springer
ISBN: 3319182420
Category : Science
Languages : en
Pages : 266
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Book Description
This book addresses the need for a fundamental understanding of the physical origin, the mathematical behavior and the numerical treatment of models which include microstructure. Leading scientists present their efforts involving mathematical analysis, numerical analysis, computational mechanics, material modelling and experiment. The mathematical analyses are based on methods from the calculus of variations, while in the numerical implementation global optimization algorithms play a central role. The modeling covers all length scales, from the atomic structure up to macroscopic samples. The development of the models ware guided by experiments on single and polycrystals and results will be checked against experimental data.
Author: Christian Miehe
Publisher: Springer Science & Business Media
ISBN: 9401702977
Category : Technology & Engineering
Languages : en
Pages : 487
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Book Description
The steady increase in computational power induces an equally steady increase in the complexity of the engineering models and associated computer codes. This particularly affects the modeling of the mechanical response of materials. Material behavior is nowadays modeled in the strongly nonlinear range by tak ing into account finite strains, complex hysteresis effects, fracture phenomena and multiscale features. Progress in this field is of fundamental importance for many engineering disciplines, especially those concerned with material testing, safety, reliability and serviceability analyses of engineering structures. In recent years many important achievements have been made in the field of the theoretical formulation, the mathematical analysis and the numerical im plementation of deformation processes in solids. Computational methods and simulation techniques today play a central role in advancing the understanding of complex material behavior. Research in the field of "ComputationalMechan ics of Materials" is concerned with the development of mathematical models and numerical solution techniques for the simulation of material response. It is a very broad interdisciplinary field of science with inputs from traditional fields such as Applied Mechanics, Applied Mathematics, Materials Science, Solid State Physics and Information Technology. The intention of the IUTAM Symposium "Computational Mechanics of Solid Materials at Large Strains", held at the University of Stuttgart, Germany, from August 20-24, 200I, was to give a state of the art and a survey about recent developments in this field and to create perspectives for future research trends.
Author: Catherine Bandle
Publisher: Springer Science & Business Media
ISBN: 3764373849
Category : Mathematics
Languages : en
Pages : 466
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Book Description
Haim Brezis has made significant contributions in the fields of partial differential equations and functional analysis, and this volume collects contributions by his former students and collaborators in honor of his 60th anniversary at a conference in Gaeta. It presents new developments in the theory of partial differential equations with emphasis on elliptic and parabolic problems.
Author: Søren S. Nielsen
Publisher: Springer Science & Business Media
ISBN: 9781402071393
Category : Business & Economics
Languages : en
Pages : 442
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Book Description
The developments within the computationally and numerically oriented areas of Operations Research, Finance, Statistics and Economics have been significant over the past few decades. Each area has been developing its own computer systems and languages that suit its needs, but there is relatively little cross-fertilization among them yet. This volume contains a collection of invited, peer-reviewed papers that each highlights a particular system, language, model or paradigm from one of the computational disciplines, aimed at researchers and practitioners from the other fields. The 15 papers cover a wide range of relevant topics; Models and Modelling in Operations Research and Economic (Matt Saltzman; Pere Gomis-Porqueras and Alex Haro; Jerome Kruiser; Don Shobrys), novel High-level and Object-Oriented approaches to programming (Jurgen Doornik; Chris Birchenhall; Christopher Baum; Tim Hultberg), through advanced uses of Maple and MATLAB (Des Higham and Peter Kloeden; Ric Herbert, Jerzy Ombach and Jolanta Jarnicka; George Lindfield and John Penny), and applications and solution of Differential Equations in Finance (Peter Honoré and Rolf Poulsen; Jens Hugger; Sasha Cyganowski and Lars GrÃ1⁄4ne). Each article is written from a personal, explorative perspective that invites the reader to discover new approaches to solving old problems. In the longer run it is hoped that this volume will facilitate cross-fertilization among the computational fields.
Author: Soren Bo Nielsen
Publisher: Springer Science & Business Media
ISBN: 146151049X
Category : Business & Economics
Languages : en
Pages : 462
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Book Description
The developments within the computationally and numerically oriented ar eas of Operations Research, Finance, Statistics and Economics have been sig nificant over the past few decades. Each area has been developing its own computer systems and languages that suit its needs, but there is relatively little cross-fertilization among them yet. This volume contains a collection of papers that each highlights a particular system, language, model or paradigm from one of the computational disciplines, aimed at researchers and practitioners from the other fields. The 15 papers cover a number of relevant topics: Models and Modelling in Operations Research and Economics, novel High-level and Object-Oriented approaches to programming, through advanced uses of Maple and MATLAB, and applications and solution of Differential Equations in Finance. It is hoped that the material in this volume will whet the reader's appetite for discovering and exploring new approaches to old problems, and in the longer run facilitate cross-fertilization among the fields. We would like to thank the contributing authors, the reviewers, the publisher, and last, but not least, Jesper Saxtorph, Anders Nielsen, and Thomas Stidsen for invaluable technical assistance.
