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检索条件"丛书名=The IMA volumes in mathematics and its applications"

共 141 条记录，以下是31-40 订阅

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Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Xiaobing Feng Ohannes Karakashian Yulong Xing

ISBN: (数字)9783319018188

ISBN: (纸本)9783319018171;9783319378404

The field of discontinuous Galerkin finite element methods has attracted considerable recent attention from scholars in the applied sciences and engineering. This volume brings together scholars working in this area, each representing a particular theme or direction of current research. Derived from the 2012 Barrett Lectures at the University of Tennessee, the papers reflect the state of the field today and point toward possibilities for future inquiry. The longer survey lectures, delivered by Franco Brezzi and Chi-Wang Shu, respectively, focus on theoretical aspects of discontinuous Galerkin methods for elliptic and evolution problems. Other papers apply DG methods to cases involving radiative transport equations, error estimates, and time-discrete higher order ALE functions, among other areas. Combining focused case studies with longer sections of expository discussion, this book will be an indispensable reference for researchers and students working with discontinuous Galerkin finite element methods and its applications.

关键词： Numerical Analysis Partial Differential Equations Analysis

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mathematics in Industrial Problems 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Avner Friedman

ISBN: (数字)9781461383833

ISBN: (纸本)9781461383857

This is the sixth volume in the series "mathematics in Industrial Prob lems. " The motivation for these volumes is to foster interaction between Industry and mathematics at the "grass roots level"; that is, at the level of specific problems. These problems come from Industry: they arise from models developed by the industrial scientists in ventures directed at the manufacture of new or improved products. At the same time, these prob lems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the ima Seminar on Industrial Problems. The book is based on the seminar presentations and on questions raised in subse quent discussions. Each chapter is devoted to one of the talks and is self contained. The chapters usually provide references to the mathematical literature and a list of open problems which are of interest to the industrial scientists. For some problems a partial solution is indicated briefly. The last chapter of the book contains a short description of solutions to some of the problems raised in previous volumes, as well as references to papers in which such solutions have been published. The speakers in the seminar on Industrial Problems have given us at the ima hours of delight and discovery. My thanks to Thomas Hoffend (3M), John Spence (Eastman Kodak Company), Marius Orlowski (Mo torola, Inc. ), Robert J.

关键词： Engineering, general Mathematical Modeling and Industrial mathematics

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Mathematical Aspects of Scientific Software 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： J. R. Rice

ISBN: (数字)9781468470741

ISBN: (纸本)9781468470765

Since scientific software is the fuel that drives today's computers to solve a vast range of problems, huge efforts are being put into the development of new software, systems and algorithms for scientific problem solving. This book explores how scientific software impacts the structure of mathematics, how it creates new subfields, and how new classes of mathematical problems arise. The focus is on five topics where the impact is currently being felt and where important new challenges exist, namely: the new subfield of parallel and geometric computations, the emergence of symbolic computation systems into "general" use, the potential emergence of new, high-level mathematical systems, and the crucial question of how to measure the performance of mathematical problem solving tools.

关键词： Mathematical Logic and Foundations

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Numerical Methods for Polymeric Systems 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Stuart G. Whittington

ISBN: (数字)9781461217046

ISBN: (纸本)9780387985572;9781461272496

Polymers occur in many different states and their physical properties are strongly correlated with their conformations. The theoretical investigation of the conformational properties of polymers is a difficult task and numerical methods play an important role in this field. This book contains contributions from a workshop on numerical methods for polymeric systems, held at the ima in May 1996, which brought together chemists, physicists, mathematicians, computer scientists and statisticians with a common interest in numerical methods. The two major approaches used in the field are molecular dynamics and Monte Carlo methods, and the book includes reviews of both approaches as well as applications to particular polymeric systems. The molecular dynamics approach solves the Newtonian equations of motion of the polymer, giving direct information about the polymer dynamics as well as about static properties. The Monte Carlo approaches discussed in this book all involve sampling along a Markov chain defined on the configuration space of the system. An important feature of the book is the treatment of Monte Carlo methods, including umbrella sampling and multiple Markov chain methods, which are useful for strongly interacting systems such as polymers at low temperatures and in compact phases. The book is of interest to workers in polymer statistical mechanics and also to a wider audience interested in numerical methods and their application in polymeric systems.

关键词： Numerical Analysis applications of mathematics Probability Theory and Stochastic Processes

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Nonlinear Evolution Equations That Change Type 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Barbara Lee Keyfitz Michael Shearer

ISBN: (数字)9781461390497

ISBN: (纸本)9780387973531;9781461390510

This ima Volume in mathematics and its applications NONLINEAR EVOLUTION EQUATIONS THAT CHANGE TYPE is based on the proceedings of a workshop which was an integral part of the 1988-89 ima program on NONLINEAR WAVES. The workshop focussed on prob lems of ill-posedness and change of type which arise in modeling flows in porous materials, viscoelastic fluids and solids and phase changes. We thank the Coordinat ing Committee: James Glimm, Daniel Joseph, Barbara Lee Keyfitz, Andrew Majda, Alan Newell, Peter Olver, David Sattinger and David Schaeffer for planning and implementing an exciting and stimulating year-long program. We especially thank the workshop organizers, Barbara Lee Keyfitz and Michael Shearer, for their efforts in bringing together many of the major figures in those research fields in which theories for nonlinear evolution equations that change type are being developed. A vner Friedman Willard Miller, J r. ix PREFACE During the winter and spring quarters of the 1988/89 ima Program on Non linear Waves, the issue of change of type in nonlinear partial differential equations appeared frequently. Discussion began with the January 1989 workshop on Two Phase Waves in Fluidized Beds, Sedimentation and Granular Flow; some of the papers in the proceedings of that workshop present strategies designed to avoid the appearance of change of type in models for multiphase fluid flow.

关键词： Partial Differential Equations Physics, general

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Percolation Theory and Ergodic Theory of Infinite Particle Systems 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Harry Kesten

ISBN: (数字)9781461387343

ISBN: (纸本)9781461387367

This ima Volume in ~athematics and its applications PERCOLATION THEORY AND ERGODIC THEORY OF INFINITE PARTICLE SYSTEMS represents the proceedings of a workshop which was an integral part of the 19R4-85 ima program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR applications We are grateful to the Scientific Committee: naniel Stroock (Chairman) Wendell Fleming Theodore Harris Pierre-Louis Lions Steven Orey George Papanicolaoo for planning and implementing an exciting and stimulating year-long program. We especially thank the Workshop Organizing Committee, Harry Kesten (Chairman), Richard Holley, and Thomas Liggett for organizing a workshop which brought together scientists and mathematicians in a variety of areas for a fruitful exchange of ideas. George R. Sell Hans Weinherger PREFACE Percolation theory and interacting particle systems both have seen an explosive growth in the last decade. These suhfields of probability theory are closely related to statistical mechanics and many of the publications on these suhjects (especially on the former) appear in physics journals, wit~ a great variahility in the level of rigour. There is a certain similarity and overlap hetween the methods used in these two areas and, not surprisingly, they tend to attract the same probabilists. It seemed a good idea to organize a workshop on "Percolation Theory and Ergodic Theory of Infinite Particle Systems" in the framework of the special probahility year at the Institute for mathematics and its applications in 1985-86. Such a workshop, dealing largely with rigorous results, was indeed held in February 1986.

关键词： Probability Theory and Stochastic Processes Complex Systems Statistical Physics and Dynamical Systems

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Symmetric Functionals on Random Matrices and Random Matchings Problems 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Grzegorz A. Rempala Jacek Wesolowski

ISBN: (数字)9780387751467

ISBN: (纸本)9780387751450;9781441925824

This ima Volume in mathematics and its applications SYMMETRIC FUNCTIONALS ON RANDOM MATRICES AND RANDOM MATCHINGS PROBLEMS During the academic year 2003–2004, the Institute for mathematics and its applications (ima) held a thematic program on Probability and Stat- tics in Complex Systems. The program focused on large complex systems in which stochasticity plays a signi?cant role. Such systems are very diverse, and the ima program emphasized systems as varied as the human genome, the internet, and world ?nancial markets. Although quite di?erent, these s- tems have features in common, such as multitudes of interconnecting parts and the availability of large amounts of high-dimensional noisy data. The programemphasized the development and application of common mathem- ical and computational techniques to model and analyze such systems. About 1,000 mathematicians, statisticians, scientists, and engineers participated in the ima thematic program, including about 50 who were in residence at the ima during much or all of the year. The present volume was born during the 2003–2004 thematic program at the ima. The two authors were visitors to the ima during the program year, withthe?rstauthorresidentforthe entiretenmonths. Thisvolumeisaresult of the authors’ interactions at the ima, and, especially their discussions with the many other program participants in the program and their involvement in the numerous tutorials, workshops,and seminars held during the year.

关键词： applications of mathematics Statistical Theory and Methods Communications Engineering, Networks

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Oscillation Theory, Computation, and Methods of Compensated Compactness 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Constantine Dafermos J. L. Ericksen David Kinderlehrer Marshall Slemrod

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Computational Fluid Dynamics and Reacting Gas Flows 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Bjorn Engquist Andrew Majda Mitchell Luskin

ISBN: (数字)9781461238829

ISBN: (纸本)9781461283881

This ima Volume in mathematics and its applications COMPUTATIONAL FLUID DYNAMICS AND REACTING GAS FLOWS is in part the proceedings of a workshop which was an integral part of the 1986-87 ima program on SCIENTIFIC COMPUTATION. We are grateful to the Scientific Committee: Bjorn Engquist (Chairman), Roland Glowinski, Mitchell Luskin and Andrew Majda for planning and implementing an exciting and stimulating year-long program. We especially thank the Workshop Organizers, Bjorn Engquist, Mitchell Luskin and Andrew Majda, for organizing a workshop which brought together many of the leading researchers in the area of computational fluid dynamics. George R. Sell Hans Weinberger PREFACE Computational fluid dynamics has always been of central importance in scientific computing. It is also a field which clearly displays the essential theme of interaction between mathematics, physics, and computer science. Therefore, it was natural for the first workshop of the 1986- 87 program on scientific computing at the Institute for mathematics and its applications to concentrate on computational fluid dynamics. In the workshop, more traditional fields were mixed with fields of emerging importance such as reacting gas flows and non-Newtonian flows. The workshop was marked by a high level of interaction and discussion among researchers representing varied "schools of thought" and countries.

关键词： Theoretical, Mathematical and Computational Physics

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Microlocal Analysis and Nonlinear Waves 1

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丛书名： the ima volumes in mathematics and its applications

1000年

作者： Michael Beals Richard B. Melrose Jeffrey Rauch

ISBN: (数字)9781461391364

ISBN: (纸本)9781461391388

This ima Volume in mathematics and its applications MICROLOCAL ANALYSIS AND NONLINEAR WAVES is based on the proceedings of a workshop which was an integral part of the 1988- 1989 ima program on "Nonlinear Waves". We thank Michael Beals, Richard Melrose and Jeffrey Rauch for organizing the meeting and editing this proceedings volume. We also take this opportunity to thank the National Science Foundation whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. PREFACE Microlocal analysis is natural and very successful in the study of the propagation of linear hyperbolic waves. For example consider the initial value problem Pu = f E e'(RHd), supp f C {t ;::: O} u = 0 for t < o. If P( t, x, Dt,x) is a strictly hyperbolic operator or system then the singular support of f gives an upper bound for the singular support of u (Courant-Lax, Lax, Ludwig), namely singsupp u C the union of forward rays passing through the singular support of f.

关键词： Analysis

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