000			02214 a2200205 4500
005			20181025151104.0
008			181025b xxu||||| |||| 00| 0 eng d
020			_a9781611975093
040			_cIIT Kanpur
041			_aeng
082			_a518.64 _bH469n
100			_aHesthaven, Jan S.
245			_aNumerical methods for conservation laws _bfrom analysis to algorithms _cJan S. Hesthaven
260			_bSIAM _c2018 _aPhiladelphia
300			_axvi, 570p
440			_aComputational science and engineering / edited by Donald Estep
520			_aConservation 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.
650			_aConservation laws (Physics)
942			_cBK
999			_c559475 _d559475