{"product_id":"numerical-methods-for-conservation-laws-from-analysis-to-algorithm-9781611975093","title":"Numerical Methods for Conservation Laws: From Analysis to Algorithm","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eConservation 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. \u003cbr\u003e\u003cbr\u003e\u003cem\u003eNumerical Methods for Conservation Laws: From Analysis to Algorithms:\u003c\/em\u003e\u003cul\u003e\n\u003cli\u003eoffers 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;\u003c\/li\u003e\n\u003cli\u003ediscusses classic results on monotone and finite difference\/finite volume schemes, but emphasizes the successful development of high-order accurate methods for hyperbolic conservation laws;\u003c\/li\u003e\n\u003cli\u003eaddresses 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;\u003c\/li\u003e\n\u003cli\u003eexplores algorithmic aspects of these methods, emphasizing one- and two-dimensional problems and the development and analysis of an extensive range of methods; \u003c\/li\u003e\n\u003cli\u003eincludes MATLAB software with which all main methods and computational results in the book can be reproduced; and\u003c\/li\u003e\n\u003cli\u003edemonstrates the performance of many methods on a set of benchmark problems to allow direct comparisons.\u003c\/li\u003e\n\u003c\/ul\u003eCode and other supplemental material are available online at www.siam.org\/books\/cs18.","brand":"Society for Industrial \u0026 Applied Mathematics,U.S.","offers":[{"title":"Default Title","offer_id":52151325360471,"sku":"9781611975093","price":79.9,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/numerical-methods-for-conservation-laws-from-analysis-to-algorithm-9781611975093","provider":"Book Curl","version":"1.0","type":"link"}