27.06.2013 Views

Discontinuous Galerkin methods Lecture 1 - Brown University

Discontinuous Galerkin methods Lecture 1 - Brown University

Discontinuous Galerkin methods Lecture 1 - Brown University

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

springer.com<br />

... and it goes on<br />

• Two afternoons with hands-on exercises<br />

• Next week: T Warburton on<br />

2D/3D, parallel, GPU etc<br />

<strong>Lecture</strong>s and exercises<br />

are based on text<br />

54<br />

Nodal <strong>Discontinuous</strong> <strong>Galerkin</strong><br />

Methods: Algorithms, Analysis, and<br />

Applications<br />

Jan S. Hesthaven • Tim Warburton<br />

TEXTS IN APPLIED MATHEMATICS<br />

This book discusses the discontinuous <strong>Galerkin</strong> family of computational <strong>methods</strong><br />

for solving partial differential equations. While these <strong>methods</strong> have been known<br />

since the early 1970s, they have experienced a phenomenal growth in interest during<br />

the last ten to fifteen years, leading both to substantial theoretical developments<br />

and the application of these <strong>methods</strong> to a broad range of problems.<br />

These <strong>methods</strong> are distinct in nature from standard <strong>methods</strong> such as finite element<br />

or finite difference <strong>methods</strong>, often presenting a challenge in the transition<br />

from theoretical developments to actual implementations and applications.<br />

This book is suitable for graduate level classes in applied and computational<br />

mathematics. The combination of an in-depth discussion of the fundamental<br />

properties of the discontinuous <strong>Galerkin</strong> computational <strong>methods</strong> with the availability<br />

of extensive accompanying Matlab based implementations allows students<br />

to gain first-hand experience from the beginning without eliminating theoretical<br />

insight.<br />

Jan S. Hesthaven is a professor of Applied Mathematics at <strong>Brown</strong> <strong>University</strong>.<br />

Tim Warburton is an assistant professor of Applied and Computational<br />

Mathematics at Rice <strong>University</strong>.<br />

isbn 978-0-387-72065-4<br />

Hesthaven<br />

Warburton<br />

TAM<br />

54<br />

Nodal <strong>Discontinuous</strong> <strong>Galerkin</strong> Methods<br />

54<br />

Jan S. Hesthaven<br />

Tim Warburton<br />

TEXTS IN APPLIED MATHEMATICS<br />

Nodal <strong>Discontinuous</strong><br />

<strong>Galerkin</strong> Methods<br />

Algorithms, Analysis, and<br />

Applications<br />

www.nudg.org

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!