Hesthaven, Jan S. Numerical methods for conservation laws 9781611975093

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Автор: Hesthaven, Jan S.
Название: Numerical methods for conservation laws
ISBN: 9781611975093
Издательство: Mare Nostrum (Eurospan)
Классификация:

Прикладная математика

Математическая теория вычислений

ISBN-10: 1611975093
Обложка/Формат: Paperback
Страницы: 576
Вес: 1.26 кг.
Дата издания: 28.02.2018
Серия: Computational science and engineering
Язык: English
Размер: 183 x 257 x 36
Читательская аудитория: Professional and scholarly
Ключевые слова: Applied mathematics,Mathematical theory of computation
Подзаголовок: From analysis to algorithm
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Поставляется из: Англии
Описание: 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. Numerical Methods for Conservation Laws: From Analysis to Algorithms: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; anddemonstrates the performance of many methods on a set of benchmark problems to allow direct comparisons.Code and other supplemental material are available online at www.siam.org/books/cs18.

Numerical methods for conservation laws, Hesthaven, Jan S.