Level Set Methods and Dynamic Implicit Surfaces (Applied Mathematical Sciences)

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9780387954820: Level Set Methods and Dynamic Implicit Surfaces (Applied Mathematical Sciences)
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S.J. Osher and R. Fedkiw

Level Set Methods and Dynamic Implicit Surfaces

"This book is an introduction to level set methods and dynamic implicit surfaces. While it gives many examples of the utility of the methods to a diverse set of applications, it also gives complete numerical analysis and recipes, which will enable users to quickly apply the techniques to real problems. A student or researcher working in mathematics, computer graphics, science, or engineering interested in any dynamic moving front, which might change its topology or develop singularities, will find this book interesting and useful."—ZENTRALBLATT MATH

"Over the past few decades, level set methods have found applications in astounding range of areas. The authors, having contributed so profoundly, are in an excellent position to write an authoritative text. … Without overly much cumbersome apparatus, the text introduces into an active area of scientific computing in a very informative way." (H. Muthsam, Monatshefte für Mathematik, Vol. 145 (3), 2005)

"Level set methods have successfully been used for a wide range of applications since the pioneering paper of Osher and Sethian. This book is an excellent introduction to the field, allowing newcomers to quickly grasp the key ideas. It also covers, in sufficient detail, the level set approach to several problems arising in image processing and computational physics. … This book is suitable for researchers interested in modeling interface motion, and would be an excellent book for a graduate level course in mathematics/engineering/science." (Tariq Aslam, Mathematics of Computation, Vol. 73 (247), 2004)

"This book is an introduction to level set methods and dynamic implicit surfaces. … Together with many examples, the book also gives a complete description of numerical aspects which will enable users to quickly apply these techniques to real problems. … A student or researcher working in mathematics, computer graphics, science or engineering and interested in dynamically moving fronts which might change their topology or develop singularities, will find this book interesting and useful." (V. M. Soundalgekar, Zentralblatt MATH, Vol. 1026, 2004)

"The book contains many pictures, several of them in color, which give a good sample of the results achieved. This is a stimulating book for those interested in modeling dynamic interfaces with numerical methods that can handle topology changes and singularities. Level set methods are such methods and have been successful in several applications." (Luiz Henrique de Figueiredo, Mathematical Reviews, 2003 j)

From the Publisher:

The goal of this book is to promote the use of level set methods by the many scientists and engineers working on moving interface problems. The authors provide some motivational/intuitive background on the scope and variety of moving interface problems and their mathematical formulation. They also review the pros and cons of traditional numerical techniques. The bulk of the book addresses the foundation of essential mathematical and numerical methods necessary for applying the level set method, with particular emphasis on problems in which the interface is just one part of a more complicated physical system. The book concludes with a few select example applications drawn from the authors' research. The book is intended for students and researchers interested in computation in the physical sciences, i.e. engineers, computational fluid dynamicists and applied mathematicians who want to use these methods for their own computations. It is suitable for use in a graduate level course on numerical methods, as a users guide to applying the methods, and as a general reference for mathematics related to level sets and the numerical solution of equations of ''Hamiltonian-Jacobi'' type.

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Osher, Stanley; Fedkiw, Ronald
Editorial: Springer (2002)
ISBN 10: 0387954821 ISBN 13: 9780387954820
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Descripción Springer, 2002. Estado de conservación: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: This book is an introduction to level set methods and dynamic implicit surfaces. While it gives many examples of the utility of the methods to a diverse set of applications, it also gives complete numerical analyses and recipes, which will enable users to apply the techniques quickly to real problems. The book is intended for students and researchers interested in computation in the physical sciences, i.e. engineers, computational fluid dynamicists, and applied mathematicians who want to use these methods for their own computations. Nº de ref. de la librería ABE_book_new_0387954821

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Descripción Springer-Verlag New York Inc., United States, 2002. Hardback. Estado de conservación: New. 2003 ed.. 234 x 160 mm. Language: English . Brand New Book ***** Print on Demand *****. The goal of this book is to promote the use of level set methods by the many scientists and engineers working on moving interface problems. The authors provide some motivational/intuitive background on the scope and variety of moving interface problems and their mathematical formulation. They also review the pros and cons of traditional numerical techniques. The bulk of the book addresses the foundation of essential mathematical and numerical methods necessary for applying the level set method, with particular emphasis on problems in which the interface is just one part of a more complicated physical system. The book concludes with a few select example applications drawn from the authors research. The book is intended for students and researchers interested in computation in the physical sciences, i.e. engineers, computational fluid dynamicists and applied mathematicians who want to use these methods for their own computations. It is suitable for use in a graduate level course on numerical methods, as a users guide to applying the methods, and as a general reference for mathematics related to level sets and the numerical solution of equations of Hamiltonian-Jacobi type. Nº de ref. de la librería APC9780387954820

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