At AN18, Mariel Vazquez employed topological concepts from knot theory to demonstrate that cells detangle DNA with optimal efficiency.
Early programmers had to write their own procedures to implement complex arithmetic and transcendental functions.
It is with great sadness that we note the passing of mathematician Gregory Anthony Kriegsmann in May 2018.
Pam Cook spoke about molecular-level modeling of materials that exhibit similarly schizoid behavior during her AN18 Julian Cole Lectureship.
Recent advances in information theory enable our understanding of the dynamics of abrupt climate changes.
Kai Berger works as a computational scientist and machine vision researcher at Genius Sports Media.
Next year marks the 50th anniversary of the NSF-CBMS Regional Research Conferences in the Mathematical Sciences.
Hardware and software vendors and standards committees are addressing the challenge of reproducibility.
In this month's column on "Mathematical Curiosities," Mark Levi contemplates moon angles and the lunar tilt illusion.
The International Council for Industrial and Applied Mathematics is pleased to announce the winners of the five ICIAM prizes for 2019.
The National Science Foundation continues its investment in programs that directly advance the STEM workforce.
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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