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Numerical Models for Differential Problems

Numerical Models for Differential Problems Author Alfio Quarteroni
ISBN-10 8847010713
Release 2010-01-22
Pages 601
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In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.



Numerical Models for Differential Problems

Numerical Models for Differential Problems Author Alfio Quarteroni
ISBN-10 9788847055223
Release 2014-04-25
Pages 658
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In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.



University of Michigan Official Publication

University of Michigan Official Publication Author
ISBN-10 UOM:39015078740639
Release 1998
Pages
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University of Michigan Official Publication has been writing in one form or another for most of life. You can find so many inspiration from University of Michigan Official Publication also informative, and entertaining. Click DOWNLOAD or Read Online button to get full University of Michigan Official Publication book for free.



Computational Differential Equations

Computational Differential Equations Author K. Eriksson
ISBN-10 0521567386
Release 1996-09-05
Pages 538
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Textbook for teaching computational mathematics.



A Compendium of Partial Differential Equation Models

A Compendium of Partial Differential Equation Models Author William E. Schiesser
ISBN-10 9780521519861
Release 2009-03-16
Pages 474
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Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.



New Approaches to Problems in Liquid State Theory

New Approaches to Problems in Liquid State Theory Author Carlo Caccamo
ISBN-10 9789401145640
Release 2012-12-06
Pages 521
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The theory of simple and complex fluids has made considerable recent progress, due to the emergence of new concepts and theoretical tools, and also to the availability of a large body of new experimental data on increas ingly complex systems, as well as far-reaching methodological developments in numerical simulations. This AS! aimed at providing a comprehensive overview of the most significant theoretical developments, supplemented by a few presentations of cutting-edge simulation and experimental work. The impact of the Institute in the overall landscape of Statistical Mechanics received an important recognition with its inclusion in the list of satellite events of STATPHYS20, the triennal international conference on Statistical Physics held in Paris in July 1998. These Proceedings contain the texts of the 13 Lecture Courses and 9 Invited Seminars delivered at Patti. Two clear trends emerge from these Proceedings: first, the diversity of new and unexpected theoretical results relating to classic models of liq uids, which have recently been subjected to fresh scrutiny; and secondly the parallel emergence of new concepts, models and methods, aimed at investigating complex fluids and phenomena, like the phase behaviour of fluids in pores, macromolecular assemblies, and the glass transition. Many of the new tools have their roots in traditional liquid state theory, and, in conjunction with fresh input from related fields, allow it wider applicability.



Pre NEET Surgery

Pre NEET Surgery Author
ISBN-10 9789350903117
Release 2013
Pages 123
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Pre NEET Surgery has been writing in one form or another for most of life. You can find so many inspiration from Pre NEET Surgery also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Pre NEET Surgery book for free.



An Introduction to Mathematical Modeling

An Introduction to Mathematical Modeling Author Edward A. Bender
ISBN-10 9780486137124
Release 2012-05-23
Pages 272
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Accessible text features over 100 reality-based examples pulled from the science, engineering, and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.



Numerical Solution of Hyperbolic Partial Differential Equations

Numerical Solution of Hyperbolic Partial Differential Equations Author John A. Trangenstein
ISBN-10 9780521877275
Release 2009-09-03
Pages 597
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For mathematicians and engineers interested in applying numerical methods to physical problems this book is ideal. Numerical ideas are connected to accompanying software, which is also available online. By seeing the complete description of the methods in both theory and implementation, students will more easily gain the knowledge needed to write their own application programs or develop new theory. The book contains careful development of the mathematical tools needed for analysis of the numerical methods, including elliptic regularity theory and approximation theory. Variational crimes, due to quadrature, coordinate mappings, domain approximation and boundary conditions, are analyzed. The claims are stated with full statement of the assumptions and conclusions, and use subscripted constants which can be traced back to the origination (particularly in the electronic version, which can be found on the accompanying CD-ROM).



Numerical Analysis Using R

Numerical Analysis Using R Author Graham W. Griffiths
ISBN-10 9781316654156
Release 2016-04-26
Pages
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This book presents the latest numerical solutions to initial value problems and boundary value problems described by ODEs and PDEs. The author offers practical methods that can be adapted to solve wide ranges of problems and illustrates them in the increasingly popular open source computer language R, allowing integration with more statistically based methods. The book begins with standard techniques, followed by an overview of 'high resolution' flux limiters and WENO to solve problems with solutions exhibiting high gradient phenomena. Meshless methods using radial basis functions are then discussed in the context of scattered data interpolation and the solution of PDEs on irregular grids. Three detailed case studies demonstrate how numerical methods can be used to tackle very different complex problems. With its focus on practical solutions to real-world problems, this book will be useful to students and practitioners in all areas of science and engineering, especially those using R.



Integrated Urban Models Volume 2 New Research and Applications of Optimization and Dynamics Routledge Revivals

Integrated Urban Models Volume 2  New Research and Applications of Optimization and Dynamics  Routledge Revivals Author Stephen H. Putman
ISBN-10 9781317748199
Release 2014-04-04
Pages 356
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Following on from Integrated Models Volume 1: Policy Analysis of Transportation and Lane Use (Routledge Library Editions, 2006), this book bridges the gap between the scholars and the practitioners of transportation and land-use modelling. First published in 1991, chapters discuss model-calibration and model-solution problems, describe a series of numerical and policy analyses, and propose potential directions for location and land-use research. This reissue will be of particular value to undergraduate and postgraduate geography students with an interest in integrated urban modelling; in particular, the research conducted in the field over the past two decades.



Numerical Methods in Finance with C

Numerical Methods in Finance with C  Author Maciej J. Capiński
ISBN-10 9780521177160
Release 2012-08-02
Pages 175
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Provides aspiring quant developers with the numerical techniques and programming skills needed in quantitative finance. No programming background required.



Numerical Methods with Worked Examples Matlab Edition

Numerical Methods with Worked Examples  Matlab Edition Author C. Woodford
ISBN-10 9400713665
Release 2011-09-08
Pages 256
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This book is for students following an introductory course in numerical methods, numerical techniques or numerical analysis. It introduces MATLAB as a computing environment for experimenting with numerical methods. It approaches the subject from a pragmatic viewpoint; theory is kept at a minimum commensurate with comprehensive coverage of the subject and it contains abundant worked examples which provide easy understanding through a clear and concise theoretical treatment. This edition places even greater emphasis on ‘learning by doing’ than the previous edition. Fully documented MATLAB code for the numerical methods described in the book will be available as supplementary material to the book on http://extras.springer.com



Modern Optimization Modelling Techniques

Modern Optimization Modelling Techniques Author Roberto Cominetti
ISBN-10 9783034802918
Release 2012-08-28
Pages 269
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The theory of optimization, understood in a broad sense, is the basis of modern applied mathematics, covering a large spectrum of topics from theoretical considerations (structure, stability) to applied operational research and engineering applications. The compiled material of this book puts on display this versatility, by exhibiting the three parallel and complementary components of optimization: theory, algorithms, and practical problems. The book contains an expanded version of three series of lectures delivered by the authors at the CRM in July 2009. The first part is a self-contained course on the general moment problem and its relations with semidefinite programming. The second part is dedicated to the problem of determination of Nash equilibria from an algorithmic viewpoint. The last part presents congestion models for traffic networks and develops modern optimization techniques for finding traffic equilibria based on stochastic optimization and game theory.



Strongly Elliptic Systems and Boundary Integral Equations

Strongly Elliptic Systems and Boundary Integral Equations Author William Charles Hector McLean
ISBN-10 052166375X
Release 2000-01-28
Pages 357
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This 2000 book provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains.



11th International Symposium on Process Systems Engineering PSE2012

11th International Symposium on Process Systems Engineering   PSE2012 Author
ISBN-10 9780444595089
Release 2012-12-31
Pages 1800
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While the PSE community continues its focus on understanding, synthesizing, modeling, designing, simulating, analyzing, diagnosing, operating, controlling, managing, and optimizing a host of chemical and related industries using the systems approach, the boundaries of PSE research have expanded considerably over the years. While early PSE research was largely concerned with individual units and plants, the current research spans wide ranges of scales in size (molecules to processing units to plants to global multinational enterprises to global supply chain networks; biological cells to ecological webs) and time (instantaneous molecular interactions to months of plant operation to years of strategic planning). The changes and challenges brought about by increasing globalization and the the common global issues of energy, sustainability, and environment provide the motivation for the theme of PSE2012: Process Systems Engineering and Decision Support for the Flat World. Each theme includes an invited chapter based on the plenary presentation by an eminent academic or industrial researcher Reports on the state-of-the-art advances in the various fields of process systems engineering Addresses common global problems and the research being done to solve them



Numerical Methods and Modeling for Chemical Engineers

Numerical Methods and Modeling for Chemical Engineers Author Mark E. Davis
ISBN-10 9780486782324
Release 2013-11-19
Pages 272
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This text introduces the quantitative treatment of differential equations arising from modeling physical phenomena in chemical engineering. Coverage includes recent topics such as ODE-IVPs, emphasizing numerical methods and modeling of 1984-era commercial mathematical software.