Stuart, A. M.
Overview
Works:  43 works in 102 publications in 3 languages and 1,181 library holdings 

Genres:  Textbooks 
Roles:  Author 
Publication Timeline
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Most widely held works by
A. M Stuart
Multiscale methods : averaging and homogenization by
Grigorios A Pavliotis(
)
21 editions published between 2007 and 2011 in English and held by 588 WorldCat member libraries worldwide
"This introduction to multiscale methods gives readers a broad overview of their many uses and applications. The book begins by setting the theoretical foundations of the subject area and moves on to develop a unified approach to the simplification of a wide range of problems which possess multiple scales via perturbation expansions; differential equations and stochastic processes are studied in one unified framework. The book concludes with an overview of a range of theoretical tools used to justify the simplified models derived via the perturbation expansions." "The presentation of the material is particularly suited to the range of mathematicians, scientists, and engineers who want to exploit multiscale methods in applications. Extensive use of examples shows how to apply multiscale methods to solve a variety of problems. Exercises then enable readers to build their own skills and put them into practice." "Extensions and generalizations of the results presented in the book, as well as references to the literature, are provided in the Discussion and Bibliography section at the end of each chapter. With the exception of Chapter One, all of the 21 chapters are supplemented with exercises."Jacket
21 editions published between 2007 and 2011 in English and held by 588 WorldCat member libraries worldwide
"This introduction to multiscale methods gives readers a broad overview of their many uses and applications. The book begins by setting the theoretical foundations of the subject area and moves on to develop a unified approach to the simplification of a wide range of problems which possess multiple scales via perturbation expansions; differential equations and stochastic processes are studied in one unified framework. The book concludes with an overview of a range of theoretical tools used to justify the simplified models derived via the perturbation expansions." "The presentation of the material is particularly suited to the range of mathematicians, scientists, and engineers who want to exploit multiscale methods in applications. Extensive use of examples shows how to apply multiscale methods to solve a variety of problems. Exercises then enable readers to build their own skills and put them into practice." "Extensions and generalizations of the results presented in the book, as well as references to the literature, are provided in the Discussion and Bibliography section at the end of each chapter. With the exception of Chapter One, all of the 21 chapters are supplemented with exercises."Jacket
A first course in continuum mechanics by
Oscar Gonzalez(
Book
)
15 editions published in 2008 in English and held by 287 WorldCat member libraries worldwide
"A concise account of various classic theories of fluids and solids, this book is for courses in continuum mechanics for graduate students and advanced undergraduates. Thoroughly classtested in courses at Stanford University and the University of Warwick, it is suitable for both applied mathematicians and engineers. The only prerequisites are an introductory undergraduate knowledge of basic linear algebra and differential equations. Unlike most existing works at this level, this book covers both isothermal and thermal theories. The theories are derived in a unified manner from the fundamental balance laws of continuum mechanics. Intended both for classroom use and for selfstudy, each chapter contains a wealth of exercises, with fully worked solutions to oddnumbered questions. A complete solutions manual is available to instructors upon request. Short bibliographies appear at the end of each chapter, pointing to material which underpins or expands upon the material discussed"Provided by publisher
15 editions published in 2008 in English and held by 287 WorldCat member libraries worldwide
"A concise account of various classic theories of fluids and solids, this book is for courses in continuum mechanics for graduate students and advanced undergraduates. Thoroughly classtested in courses at Stanford University and the University of Warwick, it is suitable for both applied mathematicians and engineers. The only prerequisites are an introductory undergraduate knowledge of basic linear algebra and differential equations. Unlike most existing works at this level, this book covers both isothermal and thermal theories. The theories are derived in a unified manner from the fundamental balance laws of continuum mechanics. Intended both for classroom use and for selfstudy, each chapter contains a wealth of exercises, with fully worked solutions to oddnumbered questions. A complete solutions manual is available to instructors upon request. Short bibliographies appear at the end of each chapter, pointing to material which underpins or expands upon the material discussed"Provided by publisher
Data assimilation : a mathematical introduction by
Kody Law(
)
13 editions published in 2015 in English and German and held by 246 WorldCat member libraries worldwide
This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation, covering both theoretical and computational approaches. Specifically the authors develop a unified mathematical framework in which a Bayesian formulation of the problem provides the bedrock for the derivation, development and analysis of algorithms; the many examples used in the text, together with the algorithms which are introduced and discussed, are all illustrated by the MATLAB software detailed in the book and made freely available online. The book is organized into nine chapters: the first contains a brief introduction to the mathematical tools around which the material is organized; the next four are concerned with discrete time dynamical systems and discrete time data; the last four are concerned with continuous time dynamical systems and continuous time data and are organized analogously to the corresponding discrete time chapters. This book is aimed at mathematical researchers interested in a systematic development of this interdisciplinary field, and at researchers from the geosciences, and a variety of other scientific fields, who use tools from data assimilation to combine data with timedependent models. The numerous examples and illustrations make understanding of the theoretical underpinnings of data assimilation accessible. Furthermore, the examples, exercises and MATLAB software, make the book suitable for students in applied mathema tics, either through a lecture course, or through selfstudy
13 editions published in 2015 in English and German and held by 246 WorldCat member libraries worldwide
This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation, covering both theoretical and computational approaches. Specifically the authors develop a unified mathematical framework in which a Bayesian formulation of the problem provides the bedrock for the derivation, development and analysis of algorithms; the many examples used in the text, together with the algorithms which are introduced and discussed, are all illustrated by the MATLAB software detailed in the book and made freely available online. The book is organized into nine chapters: the first contains a brief introduction to the mathematical tools around which the material is organized; the next four are concerned with discrete time dynamical systems and discrete time data; the last four are concerned with continuous time dynamical systems and continuous time data and are organized analogously to the corresponding discrete time chapters. This book is aimed at mathematical researchers interested in a systematic development of this interdisciplinary field, and at researchers from the geosciences, and a variety of other scientific fields, who use tools from data assimilation to combine data with timedependent models. The numerous examples and illustrations make understanding of the theoretical underpinnings of data assimilation accessible. Furthermore, the examples, exercises and MATLAB software, make the book suitable for students in applied mathema tics, either through a lecture course, or through selfstudy
Multiscale Methods : Averaging and Homogenization by
Grigorios A Pavliotis(
)
3 editions published in 2008 in English and held by 13 WorldCat member libraries worldwide
3 editions published in 2008 in English and held by 13 WorldCat member libraries worldwide
Waveform relaxation as a dynamical system by
M Bjørhus(
Book
)
3 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide
The mathematics of porous medium combustion by
A. M Stuart(
Book
)
3 editions published in 1986 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1986 in English and held by 3 WorldCat member libraries worldwide
Analysis of data assimilation schemes by Abhishek Shukla(
Book
)
2 editions published in 2016 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2016 in English and held by 2 WorldCat member libraries worldwide
Analysis and computation for Bayesian inverse problems by Matthew M Dunlop(
Book
)
2 editions published in 2017 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2017 in English and held by 2 WorldCat member libraries worldwide
A unified approach to spurious solutions introduced by time discretization part II : BDFlike methods by
A Iserles(
Book
)
2 editions published in 1990 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 2 WorldCat member libraries worldwide
Assimilating data into mathematical models by Daniel SanzAlonso(
Book
)
2 editions published in 2016 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2016 in English and held by 2 WorldCat member libraries worldwide
Duo chi du ji suan fang fa : Jun yun hua he ping jun hua by
Grigorios A Pavliotis(
Book
)
2 editions published in 2010 in Chinese and held by 2 WorldCat member libraries worldwide
Ben shu gong fen san bu fen, di yi bu fen wei bei jing zi liao ; di er bu fen wei rao dong zhan kai, gei chu ci lei wen ti de gong xing ; di san bu fen chan shu le yi xie zheng ming rao dong fang fa de li lun
2 editions published in 2010 in Chinese and held by 2 WorldCat member libraries worldwide
Ben shu gong fen san bu fen, di yi bu fen wei bei jing zi liao ; di er bu fen wei rao dong zhan kai, gei chu ci lei wen ti de gong xing ; di san bu fen chan shu le yi xie zheng ming rao dong fang fa de li lun
Asymptotic analysis and computations of probability measures by Yulong Lu(
Book
)
2 editions published in 2017 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2017 in English and held by 2 WorldCat member libraries worldwide
An analysis of local error control for dissipative, contractive and gradient dynamical systems by
Stanford University(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Statistics from computations by
Hersir Sigurgeirsson(
Book
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
The rate of error growth in Hamiltonianconserving integrators by
Stanford University(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Model problems in numerical stability theory for initial value problems by
Stanford University(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Remarks on the qualitative properties of modified equations by
Stanford University(
Book
)
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
The global dynamics of discrete semilinear parabolic equations by
Charles M Elliott(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Probabilistic and deterministic convergence proofs for software for initial value problems by
Stanford University(
Book
)
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
Approximation of dissipative partial differential equations over long time intervals by
Stanford University(
Book
)
1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Pavliotis, Grigorios A. Author
 Gonzalez, Oscar 1968 Author
 Zygalakis, Konstantinos
 Law, Kody Author
 Stanford University Computer Science Department Scientific Computing and Computational Mathematics Program
 University of Warwick Mathematics Institute
 Engineering and Physical Sciences Research Council
 Humphries, A. R.
 Bjorhus, Morton Author
 Elliott, C. M. Author
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Associated Subjects
Bayesian statistical decision theory Chaotic behavior in systems Chemical engineering Combustion Computer science Computer scienceMathematics Continuum mechanics Differentiable dynamical systems Differential equations Differential equations, Partial Distribution (Probability theory) Dynamics Engineering mathematics Ergodic theory Internal combustion engines Inverse problems (Differential equations) Kalman filtering Mathematical analysis Mathematical models Mathematical physics Mathematical statistics Mathematical statisticsAsymptotic theory Mathematics Molecular dynamicsMathematical models Physics Porous materials Probabilities Statistics
Covers
Alternative Names
Andrew M. Stuart britischer Mathematiker
Andrew M. Stuart Brits wiskundige
Andrew M. Stuart matemático británico
Andrew M. Stuart mathématicien britannique
Andrew Mark Stuart
Stuart, A. M.
Stuart, A. M. (matematyk).
Stuart, Andrew M.
Stuart, Andrew M. 1962
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