Methane hydrate is an ice-like crystalline substance (gas clathrate) made of water molecules encasing a molecule of methane.
A ubiquitous example of the "snap to" structure in Adobe Photoshop occurs in floating-point arithmetic.
Fractures are the primary pathways for fluid flow in low-permeability subsurface media, such as shale or granite.
Current methods for characterizing Earth’s subsurface are not sufficiently accurate to meet the needs of modern applications.
Extreme events are unexpected, transient phenomena with large magnitudes that take place over short time scales.
The High-Performance Conjugate Gradients Benchmark complements the HPL Benchmark and is part of the TOP500 effort.
Simple ordinary differential equations can explain the surprisingly long range of a sling versus the surprisingly short range of a bullet.
In his talk at AN18, Thomas Hales will explain how some paradoxes play into self-verifying computer programs.
In his talk at AN18, Bill Symes will discuss our knowledge of Earth's interior and how it is an inverse problem.
Ernest Davis reviews Exact Thinking in Demented Times: The Vienna Circle and the Epic Quest for the Foundations of Science by Karl Sigmund.
At its 2018 Annual Meeting, the AAAS will sponsor a symposium on mathematical approaches to major challenges.
As most SIAM members are aware, science policy decisions greatly affect the state of scientific research.
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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