COMPUTATIONAL METHODS FOR MULTIPHASE FLOWS IN POROUS MEDIAZhangxin Chen, Guanren Huan & Yuanle Ma2006 556pp9780898716061 Paperback £126.00 / €142.00Computational Science & Engineering, Vol. 2Offers a fundamental and practical introduction to the use of computational methods, particularly finite element methods, in the simulation of fluid flows in porous media. This is the first book to cover a wide variety of flows, including single-phase, two-phase, black oil, volatile, compositional, nonisothermal, and chemical compositional flows in both ordinary porous and fractured porous media.

COMPUTATIONAL OPTIMIZATION OF SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONSAlfio Borzì & Volker Schulz2012 302pp9781611972047 Paperback £83.95 / €94.00

Computational Science & Engineering, Vol. 8Fills a gap between theory-oriented investigations in PDE-constrained optimization and the practical demands made by numerical solutions of PDE optimization problems. The authors discuss computational techniques representing recent developments that result from a combination of modern techniques for the numerical solution of PDEs and for sophisticated optimization schemes.

FINITE ELEMENT METHODS FOR COMPUTATIONAL FLUID DYNAMICSA Practical GuideDimitri Kuzmin & Jari Hämäläinen2014 321pp9781611973600 Paperback £94.95 / €106.00Computational Science & Engineering, Vol. 14This informal introduction to computational fluid dynamics and practical guide to numerical simulation of transport phenomena covers the derivation of the governing equations, construction of finite element approximations, and qualitative properties of numerical solutions, among other topics.

BESTSELLER A FIRST COURSE IN NUMERICAL METHODS Uri M. Ascher & Chen Greif2011 574pp9780898719970 Paperback £91.95 / €103.00Computational Science & Engineering, Vol. 7Designed for students and researchers who seek practical

knowledge of modern techniques in scientific computing. Avoiding encyclopaedic and heavily theoretical exposition, this book provides an in-depth treatment of fundamental issues and methods, the reasons behind the success and failure of numerical software, and fresh and easy-to-follow approaches and techniques.

FORMULATION AND NUMERICAL SOLUTION OF QUANTUM CONTROL PROBLEMSAlfio Borzi, Gabriele Ciaramella & Martin Sprengel2017 390pp9781611974836 Hardback £87.50 / €98.00

Computational Science & Engineering, Vol. 16Provides an introduction to representative nonrelativistic quantum control problems and their theoretical analysis and solution via modern computational techniques. The quantum theory framework is based on the Schrödinger picture, and the optimization theory, which focuses on functional spaces, is based on the Lagrange formalism.

AN INTRODUCTION TO MODELING AND SIMULATION OF PARTICULATE FLOWST.I. Zohdi2007 193pp9780898716276 Paperback £110.00 / €123.00Computational Science & Engineering, Vol. 4This introductory monograph focuses on basic models and physically based computational solution strategies for the direct and rapid simulation of flowing particulate media. Its emphasis is primarily on fluidized dry particulate flows in which there is no significant interstitial fluid, although fully coupled fluid-particle systems are discussed as well. An introduction to basic computational methods for ascertaining optical responses of particulate systems also is included.

The SIAM series on Computational Science and Engineering publishes research monographs, advanced undergraduate- or graduate-level textbooks, and other volumes of interest to an interdisciplinary CS&E community of computational mathematicians, computer scientists, scientists, and engineers. The series includes both introductory volumes aimed at a broad audience of mathematically motivated readers interested in understanding methods and applications within computational science and engineering and monographs reporting on the most recent developments in the field.

NEW NUMERICAL METHODS FOR CONSERVATION LAWSFrom Analysis to Algorithms Jan S. HesthavenFeb 2018 576pp9781611975093 Paperback £78.50 / €88.00Computational Science and Engineering, Vol. 18

Conservation laws are the mathematical expression of the principles of conservation and provide effective and accurate predictive models of our physical world. Although intense research activity during the last decades has led to substantial advances in the development of powerful computational methods for conservation laws, their solution remains a challenge and many questions are left open; thus it is an active and fruitful area of research.

Key Features:

• Offers the first comprehensive introduction to modern computational methods and their analysis for hyperbolic conservation laws, building on intense research activities for more than four decades of development.

• Discusses classic results on monotone and finite difference/finite volume schemes, but emphasizes the successful development of high-order accurate methods for hyperbolic conservation laws.

• Addresses modern concepts of TVD and entropy stability, strongly stable Runge-Kutta schemes, and limiter-based methods before discussing essentially nonoscillatory schemes, discontinuous Galerkin methods, and spectral methods.

• Explores algorithmic aspects of these methods, emphasizing one- and two-dimensional problems and the development and analysis of an extensive range of methods.

• Includes MATLAB software with which all main methods and computational results in the book can be reproduced.

• Demonstrates the performance of many methods on a set of benchmark problems to allow direct comparisons.

Computational Science and

Engineering 2018

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INTRODUCTION TO THE NUMERICAL ANALYSIS OF INCOMPRESSIBLE VISCOUS FLOWSWilliam Layton2008 232pp9780898716573 Paperback £67.50 / €76.00

Computational Science & Engineering, Vol. 6Treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behaviour, analysis, and numerical analysis of Navier–Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory.

LINEAR AND NONLINEAR INVERSE PROBLEMS WITH PRACTICAL APPLICATIONSJennifer L. Mueller & Samuli Siltanen2012 364pp9781611972337 Paperback £79.50 / €89.00

Computational Science & Engineering, Vol. 10Explains how to identify ill-posed inverse problems arising in practice and how to design computational solution methods for them; explains computational approaches in a hands-on fashion, with related codes available on a website; and serves as a convenient entry point to practical inversion.

MODEL REDUCTION AND APPROXIMATIONTheory and AlgorithmsEdited by Peter Benner et al2017 412pp9781611974812 Paperback £87.50 / €98.00Computational Science & Engineering, Vol. 15

In spite of increasing computational capacities, many problems are of such high complexity that they are solvable only with severe simplifications, and the design of efficient numerical schemes remains a central research challenge. This book presents a tutorial introduction to recent developments in mathematical methods for model reduction and approximation of complex systems.

NUMERICAL METHODS FOR EVOLUTIONARY DIFFERENTIAL EQUATIONSUri M. Ascher2008 408pp9780898716528 Paperback £79.50 / €89.00Computational Science & Engineering, Vol. 5

This textbook develops, analyzes, and applies numerical methods for evolutionary, or time-dependent, differential problems. Both partial and ordinary differential equations are discussed from a unified viewpoint. The author emphasizes finite difference and finite volume methods, specifically their principled derivation, stability, accuracy, efficient implementation, and practical performance in various fields of science and engineering.

PROGRAMMING PROJECTS IN C for Students of Engineering, Science, and MathematicsRouben Rostamian2014 408pp9781611973495 Paperback £63.50 / €71.00Computational Science & Engineering, Vol. 13

Written as a tutorial on how to think about, organize, and implement programs in scientific computing, this book achieves its goal through an eclectic and wide-ranging collection of projects. Each project presents a problem and an algorithm for solving it, and the reader is guided through implementing the algorithm in C and compiling and testing the results.

REAL-TIME PDE-CONSTRAINED OPTIMIZATIONEdited by Lorenz T. Biegler et al2007 335pp9780898716214 Paperback £99.50 / €111.00Computational Science & Engineering, Vol. 3Focuses on new formulations, methods, and algorithms needed

to facilitate real-time, PDE-constrained optimization. In addition to presenting state-of-the-art algorithms and formulations, the text illustrates these algorithms with a diverse set of applications that includes problems in aerodynamics, biology, fluid dynamics, medicine, chemical processes, homeland security, and structural dynamics.

RECIPES FOR CONTINUATIONHarry Dankowicz & Frank Schilder 2013 599pp9781611972566 Paperback £89.95 / €101.00 Computational Science & Engineering, Vol. 11Provides a comprehensive introduction to the mathematical methodology of parameter continuation, the computational analysis of families of solutions to nonlinear mathematical equations. This volume develops a systematic formalism for constructing abstract representations of continuation problems and for implementing these in an existing computational platform.

SOLVING PDES IN C++ Numerical Methods in a Unified Object-Oriented Approach, Second EditionYair Shapira2012 808pp9781611972160 Paperback £126.00 / €141.00Computational Science & Engineering, Vol. 9In this much-expanded second

edition, Yair Shapira presents new applications and a substantial extension of the original object-oriented framework to make this popular and comprehensive book even easier to understand and use. New material includes chapters on 3-D nonlinear applications and image processing applications; sections on cryptography applications; and additional algorithms.

BESTSELLER UNCERTAINTY QUANTIFICATION Theory, Implementation, and ApplicationsRalph C. Smith2013 400pp9781611973211 Hardback £68.50 / €77.00 Computational Science & Engineering, Vol. 12The field of uncertainty

quantification is evolving rapidly. This book provides readers with the basic concepts, theory, and algorithms necessary to quantify input and response uncertainties for simulation models arising in a broad range of disciplines.

VECTOR EXTRAPOLATION METHODS WITH APPLICATIONSAvram Sidi2017 428pp9781611974959 Paperback £91.95 / €103.00 Computational Science & Engineering, Vol. 17

The first book fully dedicated to the subject of vector extrapolation methods. It is a self-contained, up-to-date, and state-of-the-art reference on the theory and practice of the most useful methods. It covers all aspects of the subject, including development of the methods, their convergence study, numerically stable algorithms for their implementation, and their various applications.

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