Theory and Numerics of Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540418467
Total Pages : 336 pages
Book Rating : 4.4/5 (184 download)

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Book Synopsis Theory and Numerics of Differential Equations by : James Blowey

Download or read book Theory and Numerics of Differential Equations written by James Blowey and published by Springer Science & Business Media. This book was released on 2001-08-28 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory and Numerics of Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3662043548
Total Pages : 290 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Theory and Numerics of Differential Equations by : James Blowey

Download or read book Theory and Numerics of Differential Equations written by James Blowey and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

From Elementary Probability to Stochastic Differential Equations with MAPLE®

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Publisher : Springer Science & Business Media
ISBN 13 : 3642561446
Total Pages : 323 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis From Elementary Probability to Stochastic Differential Equations with MAPLE® by : Sasha Cyganowski

Download or read book From Elementary Probability to Stochastic Differential Equations with MAPLE® written by Sasha Cyganowski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Methods for Nonlinear Partial Differential Equations

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Publisher : Springer
ISBN 13 : 3319137972
Total Pages : 394 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Numerical Methods for Nonlinear Partial Differential Equations by : Sören Bartels

Download or read book Numerical Methods for Nonlinear Partial Differential Equations written by Sören Bartels and published by Springer. This book was released on 2015-01-19 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analysis, Modeling and Simulation of Multiscale Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540356576
Total Pages : 704 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Analysis, Modeling and Simulation of Multiscale Problems by : Alexander Mielke

Download or read book Analysis, Modeling and Simulation of Multiscale Problems written by Alexander Mielke and published by Springer Science & Business Media. This book was released on 2006-10-14 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analysis and Computation of Microstructure in Finite Plasticity

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Publisher : Springer
ISBN 13 : 3319182420
Total Pages : 266 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Analysis and Computation of Microstructure in Finite Plasticity by : Sergio Conti

Download or read book Analysis and Computation of Microstructure in Finite Plasticity written by Sergio Conti and published by Springer. This book was released on 2015-04-23 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains

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Publisher : Springer Science & Business Media
ISBN 13 : 9401702977
Total Pages : 487 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains by : Christian Miehe

Download or read book IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains written by Christian Miehe and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elliptic and Parabolic Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3764373849
Total Pages : 466 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Elliptic and Parabolic Problems by : Catherine Bandle

Download or read book Elliptic and Parabolic Problems written by Catherine Bandle and published by Springer Science & Business Media. This book was released on 2006-01-17 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Programming Languages and Systems in Computational Economics and Finance

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402071393
Total Pages : 442 pages
Book Rating : 4.0/5 (713 download)

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Book Synopsis Programming Languages and Systems in Computational Economics and Finance by : Søren S. Nielsen

Download or read book Programming Languages and Systems in Computational Economics and Finance written by Søren S. Nielsen and published by Springer Science & Business Media. This book was released on 2002-08-31 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Programming Languages and Systems in Computational Economics and Finance

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Publisher : Springer Science & Business Media
ISBN 13 : 146151049X
Total Pages : 462 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Programming Languages and Systems in Computational Economics and Finance by : Soren Bo Nielsen

Download or read book Programming Languages and Systems in Computational Economics and Finance written by Soren Bo Nielsen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

SIAM Journal on Scientific Computing

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Publisher :
ISBN 13 :
Total Pages : 838 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis SIAM Journal on Scientific Computing by :

Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 2007 with total page 838 pages. Available in PDF, EPUB and Kindle. Book excerpt:

ESAIM.

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Publisher :
ISBN 13 :
Total Pages : 616 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis ESAIM. by :

Download or read book ESAIM. written by and published by . This book was released on 2004 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory and Numerics of Differential Equations

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Publisher :
ISBN 13 : 9783662043554
Total Pages : 296 pages
Book Rating : 4.0/5 (435 download)

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Book Synopsis Theory and Numerics of Differential Equations by : James Blowey

Download or read book Theory and Numerics of Differential Equations written by James Blowey and published by . This book was released on 2014-01-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory

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Publisher : Springer
ISBN 13 : 3319152602
Total Pages : 635 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory by : Peter Benner

Download or read book Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory written by Peter Benner and published by Springer. This book was released on 2015-05-09 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume highlights the scientific contributions of Volker Mehrmann, a leading expert in the area of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory. These mathematical research areas are strongly related and often occur in the same real-world applications. The main areas where such applications emerge are computational engineering and sciences, but increasingly also social sciences and economics. This book also reflects some of Volker Mehrmann's major career stages. Starting out working in the areas of numerical linear algebra (his first full professorship at TU Chemnitz was in "Numerical Algebra," hence the title of the book) and matrix theory, Volker Mehrmann has made significant contributions to these areas ever since. The highlights of these are discussed in Parts I and II of the present book. Often the development of new algorithms in numerical linear algebra is motivated by problems in system and control theory. These and his later major work on differential-algebraic equations, to which he together with Peter Kunkel made many groundbreaking contributions, are the topic of the chapters in Part III. Besides providing a scientific discussion of Volker Mehrmann's work and its impact on the development of several areas of applied mathematics, the individual chapters stand on their own as reference works for selected topics in the fields of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory.

Gamoqenebitʻi Matʻematika Da Inpʻormatika

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Publisher :
ISBN 13 :
Total Pages : 808 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Gamoqenebitʻi Matʻematika Da Inpʻormatika by :

Download or read book Gamoqenebitʻi Matʻematika Da Inpʻormatika written by and published by . This book was released on 1997 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Frontiers in Numerical Analysis - Durham 2010

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Publisher : Springer Science & Business Media
ISBN 13 : 3642239145
Total Pages : 298 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Frontiers in Numerical Analysis - Durham 2010 by : James Blowey

Download or read book Frontiers in Numerical Analysis - Durham 2010 written by James Blowey and published by Springer Science & Business Media. This book was released on 2012-01-10 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains detailed lecture notes on four topics at the forefront of current research in computational 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 gain quickly 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 are given. This book is also suitable for professional mathematicians who require a succint and accurate account of recent research in areas parallel to their own, and graduates in mathematical sciences.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1770 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1770 pages. Available in PDF, EPUB and Kindle. Book excerpt: