Gary Froyland outlines mathematical approaches to analyse and manipulate transport and mixing caused by autonomous and time-dependent dynamics.
Have you ever thought about writing a book? Today’s technology makes doing so easier than ever.
With deep sorrow, we announce the passing of Philip J. Davis on March 14, 2018, at the age of 95.
Juan Restrepo and Michael Mann explore the assertion of a static climate distribution by proposing a null hypothesis about record values.
Nilima Nigam offers a lighthearted yet very real account of the anxiety that accompanies socializing at conferences.
Ernest Davis reviews Automating Inequality: How High-Tech Tools Profile, Police, and Punish the Poor.
Hans Kaper and Hans Engler acknowledge that mathematics faces a communication problem, and urge mathematicians to do more to engage.
In recognition of data science's growing impact, SIAM has launched the "SIAM Journal on Mathematics of Data Science."
SIAM participated in the nation’s largest celebration of STEM: the USA Science & Engineering Festival.
In this month's "Mathematical Curiosities" column, Mark Levi relates a Möbius map to four different contexts.
Like many other areas of mathematics, the field of knot theory is rooted in questions related to the physical world.
Brigham Young University has new, redesigned undergraduate Applied and Computational Math Emphasis program.
The Career Fair at AN18 will take place on July 9 and showcase employers from both industry and government.
Françoise Marie Louise Tisseur will deliver the Olga Taussky-Todd Lecture at ICIAM 2019.
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).
View this book