John Mattingly has spent five years mathematically dissecting the structure of a typical redistricting to identify gerrymandering.
At the end of April, SIAM held a two-day strategic planning workshop called ADVANCE to discuss its future directions.
Austrian-born mathematician Hans Felix Weinberger passed away at the age of 88 on September 15, 2017.
Theoretical understanding of deep learning is one of the most important tasks facing the statistics and machine learning communities.
Intensification of ex-ante measures can significantly reduce the overall burden of natural disasters on the economy.
Graeme Milton and Ross McPhedran investigate how regions of anomalous localized resonance lead to cloaking effects.
In early June, the National Institutes of Health Office of Science Policy released its new Strategic Plan for Data Science.
The second SIAM Conference on Mathematics of Planet Earth will take place this September in Philadelphia, Pa.
In his monthly column, Mark Levi delves into the problem of concurrency of altitudes in a triangle.
The 2018 Global Survey of Mathematical, Computing, and Natural Scientists is part of an international project related to the gender gap.
2018 / xvi + 570 pages / softcover / ISBN 978-1-611975-09-3 / List Price $89.00 / SIAM Member Price $62.30 / Order Code: CS18
Keywords: conservation laws, monotone schemes, high-order methods, WENO/ENO methods, discontinuous Galerkin methids, spectral methods
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
Code and other supplemental material will be available online at publication.
This book is intended for graduate students in computational mathematics and researchers seeking a comprehensive introduction to modern methods for solving conservation laws. Students and researchers in applied sciences and engineering will benefit from the book’s emphasis on algorithmic aspects of complex algorithms. The text also includes extensive references which allows researchers to pursue advanced research and results.
About the Author
Jan S. Hesthaven is Dean of Basic Sciences, Professor of Mathematics, and holds the Chair of Computational Mathematics and Simulation Science at Ecole Polytechnique Fédérale de Lausanne (EPFL) in Switzerland. Prior to joining EPFL in 2013, he was Professor of Applied Mathematics at Brown University. He has worked for more than two decades on the development, analysis, and application of modern computational methods for linear and nonlinear wave problems, with an emphasis on high-order accurate methods. He is an Alfred P. Sloan Fellow (2001), an NSF Career award winner (2002), and a SIAM Fellow (2014).
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