ICIAM 91

ICIAM 91 PDF Author: Robert E. O'Malley
Publisher: SIAM
ISBN: 9780898713022
Category : Mathematics
Languages : en
Pages : 424

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Book Description
Proceedings -- Computer Arithmetic, Algebra, OOP.

ICIAM 91

ICIAM 91 PDF Author: Robert E. O'Malley
Publisher: SIAM
ISBN: 9780898713022
Category : Mathematics
Languages : en
Pages : 424

Get Book Here

Book Description
Proceedings -- Computer Arithmetic, Algebra, OOP.

Topics in Finite Elasticity

Topics in Finite Elasticity PDF Author: Michael Hayes
Publisher: Springer
ISBN: 3709125820
Category : Science
Languages : en
Pages : 249

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Book Description
More than fifty years ago, Professor R. S. Rivlin pioneered developments in both the theory and experiments of rubber elasticity. These together with his other fundamental studies contributed to a revitalization of the theory of finite elasticity, which had been dormant, since the basic understanding was completed in the nineteenth century. This book with chapters on foundation, models, universal results, wave propagation, qualitative theory and phase transitions, indicates that the subject he reinvigorated has remainded remarkably vibran and has continued to present significant deep mathematical and experimental challenges.

Models of Phase Transitions

Models of Phase Transitions PDF Author: Augusto Visintin
Publisher: Springer Science & Business Media
ISBN: 1461240786
Category : Mathematics
Languages : en
Pages : 334

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Book Description
... "What do you call work?" "Why ain't that work?" Tom resumed his whitewashing, and answered carelessly: "Well. lI1a), he it is, and maybe it aill't. All I know, is, it suits Tom Sawvc/:" "Oil CO/lll!, IIOW, Will do not mean to let 011 that you like it?" The brush continued to move. "Likc it? Well, I do not see wlzy I oughtn't to like it. Does a hoy get a chance to whitewash a fence every day?" That put the thing ill a Ilew light. Ben stopped nibhling the apple ... (From Mark Twain's Adventures of Tom Sawyer, Chapter II.) Mathematics can put quantitative phenomena in a new light; in turn applications may provide a vivid support for mathematical concepts. This volume illustrates some aspects of the mathematical treatment of phase transitions, namely, the classical Stefan problem and its generalizations. The in tended reader is a researcher in application-oriented mathematics. An effort has been made to make a part of the book accessible to beginners, as well as physicists and engineers with a mathematical background. Some room has also been devoted to illustrate analytical tools. This volume deals with research I initiated when I was affiliated with the Istituto di Analisi Numerica del C.N.R. in Pavia, and then continued at the Dipartimento di Matematica dell'Universita di Trento. It was typeset by the author in plain TEX

Geometry, Mechanics, and Dynamics

Geometry, Mechanics, and Dynamics PDF Author: Paul Newton
Publisher: Springer Science & Business Media
ISBN: 0387217916
Category : Mathematics
Languages : en
Pages : 573

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Book Description
Jerry Marsden, one of the world’s pre-eminent mechanicians and applied mathematicians, celebrated his 60th birthday in August 2002. The event was marked by a workshop on “Geometry, Mechanics, and Dynamics”at the Fields Institute for Research in the Mathematical Sciences, of which he wasthefoundingDirector. Ratherthanmerelyproduceaconventionalp- ceedings, with relatively brief accounts of research and technical advances presented at the meeting, we wished to acknowledge Jerry’s in?uence as a teacher, a propagator of new ideas, and a mentor of young talent. Con- quently, starting in 1999, we sought to collect articles that might be used as entry points by students interested in ?elds that have been shaped by Jerry’s work. At the same time we hoped to give experts engrossed in their own technical niches an indication of the wonderful breadth and depth of their subjects as a whole. This book is an outcome of the e?orts of those who accepted our in- tations to contribute. It presents both survey and research articles in the several ?elds that represent the main themes of Jerry’s work, including elasticity and analysis, ?uid mechanics, dynamical systems theory, g- metric mechanics, geometric control theory, and relativity and quantum mechanics. The common thread running through this broad tapestry is the use of geometric methods that serve to unify diverse disciplines and bring a widevarietyofscientistsandmathematicianstogether,speakingalanguage which enhances dialogue and encourages cross-fertilization.

Object Oriented Methods for Interoperable Scientific and Engineering Computing

Object Oriented Methods for Interoperable Scientific and Engineering Computing PDF Author: Michael E. Henderson
Publisher: SIAM
ISBN: 9780898714456
Category : Technology & Engineering
Languages : en
Pages : 340

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Book Description
Contains papers presented at the October 1998 SIAM Workshop on Object Oriented Methods for Interoperable Scientific and Engineering Computing that covered a variety of topics and issues related to designing and implementing computational tools for science and engineering.

Free Boundary Problems

Free Boundary Problems PDF Author: Ioannis Athanasopoulos
Publisher: Routledge
ISBN: 1351447130
Category : Mathematics
Languages : en
Pages : 372

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Book Description
Free boundary problems arise in an enormous number of situations in nature and technology. They hold a strategic position in pure and applied sciences and thus have been the focus of considerable research over the last three decades. Free Boundary Problems: Theory and Applications presents the work and results of experts at the forefront of current research in mathematics, material sciences, chemical engineering, biology, and physics. It contains the plenary lectures and contributed papers of the 1997 International Interdisciplinary Congress proceedings held in Crete. The main topics addressed include free boundary problems in fluid and solid mechanics, combustion, the theory of filtration, and glaciology. Contributors also discuss material science modeling, recent mathematical developments, and numerical analysis advances within their presentations of more specific topics, such as singularities of interfaces, cusp cavitation and fracture, capillary fluid dynamics of film coating, dynamics of surface growth, phase transition kinetics, and phase field models. With the implications of free boundary problems so far reaching, it becomes important for researchers from all of these fields to stay abreast of new developments. Free Boundary Problems: Theory and Applications provides the opportunity to do just that, presenting recent advances from more than 50 researchers at the frontiers of science, mathematics, and technology.

Domain Decomposition Methods in Scientific and Engineering Computing

Domain Decomposition Methods in Scientific and Engineering Computing PDF Author: David E. Keyes
Publisher: American Mathematical Soc.
ISBN: 0821851713
Category : Mathematics
Languages : en
Pages : 578

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Book Description
This book contains proceedings from the Seventh International Conference on Domain Decomposition Methods, held at Pennsylvania State University in October 1993. The term ``domain decomposition'' has for nearly a decade been associated with the partly iterative, partly direct algorithms explored in the proceedings of this conference. Noteworthy trends in the current volume include progress in dealing with so-called ``bad parameters'' in elliptic partial differential equation problems, as well as developments in partial differential equations outside of the elliptically-dominated framework. Also described here are convergence and complexity results for novel discretizations, which bring with them new challenges in the derivation of appropriate operators for coarsened spaces. Implementations and architectural considerations are discussed, as well as partitioning tools and environments. In addition, the book describes a wide array of applications, from semiconductor device simulation to structural mechanics to aerodynamics. Presenting many of the latest results in the field, this book offers readers an up-to-date guide to the many facets of the theory and practice of domain decomposition.

Splitting Methods for Partial Differential Equations with Rough Solutions

Splitting Methods for Partial Differential Equations with Rough Solutions PDF Author: Helge Holden
Publisher: European Mathematical Society
ISBN: 9783037190784
Category : Mathematics
Languages : en
Pages : 238

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Book Description
Operator splitting (or the fractional steps method) is a very common tool to analyze nonlinear partial differential equations both numerically and analytically. By applying operator splitting to a complicated model one can often split it into simpler problems that can be analyzed separately. In this book one studies operator splitting for a family of nonlinear evolution equations, including hyperbolic conservation laws and degenerate convection-diffusion equations. Common for these equations is the prevalence of rough, or non-smooth, solutions, e.g., shocks. Rigorous analysis is presented, showing that both semi-discrete and fully discrete splitting methods converge. For conservation laws, sharp error estimates are provided and for convection-diffusion equations one discusses a priori and a posteriori correction of entropy errors introduced by the splitting. Numerical methods include finite difference and finite volume methods as well as front tracking. The theory is illustrated by numerous examples. There is a dedicated Web page that provides MATLABR codes for many of the examples. The book is suitable for graduate students and researchers in pure and applied mathematics, physics, and engineering.

Computational Mathematics in China

Computational Mathematics in China PDF Author: Zhongci Shi
Publisher: American Mathematical Soc.
ISBN: 0821851632
Category : Mathematics
Languages : en
Pages : 242

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Book Description
Describes significant contributions made by Chinese mathematicians over the past decades, some of which complement western developments in the field. Contributors range from senior mathematicians to young researchers. Topics include finite element methods; computational fluid mechanics; numerical solutions of differential equations; computational methods in dynamic systems; numerical algebra; approximation; and optimization. Lacks an index. Annotation copyright by Book News, Inc., Portland, OR

Proceedings of the Fourth SIAM International Conference on Data Mining

Proceedings of the Fourth SIAM International Conference on Data Mining PDF Author: Michael W. Berry
Publisher: SIAM
ISBN: 9780898715682
Category : Mathematics
Languages : en
Pages : 556

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Book Description
The Fourth SIAM International Conference on Data Mining continues the tradition of providing an open forum for the presentation and discussion of innovative algorithms as well as novel applications of data mining. This is reflected in the talks by the four keynote speakers who discuss data usability issues in systems for data mining in science and engineering, issues raised by new technologies that generate biological data, ways to find complex structured patterns in linked data, and advances in Bayesian inference techniques. This proceedings includes 61 research papers.