Mathematics and Computation, a Contemporary View: The Abel Symposium 2006 / Edition 1

by Hans Munthe-Kaas, Brynjulf Owren

Overview

The 2006 Abel symposium is focusing on contemporary research involving interaction between computer science, computational science and mathematics. In recent years, computation has been affecting pure mathematics in fundamental ways. Conversely, ideas and methods of pure mathematics are becoming increasingly important within computational and applied mathematics. At the core of computer science is the study of computability and complexity for discrete mathematical structures. Studying the foundations of computational mathematics raises similar questions concerning continuous mathematical structures. There are several reasons for these developments. The exponential growth of computing power is bringing computational methods into ever new application areas.

Equally important is the advance of software and programming languages, which to an increasing degree allows the representation of abstract mathematical structures in program code. Symbolic computing is bringing algorithms from mathematical analysis into the hands of pure and applied mathematicians, and the combination of symbolic and numerical techniques is becoming increasingly important both in computational science and in areas of pure mathematics.

Product Details

ISBN-13:	9783642088414
Publisher:	Springer Berlin Heidelberg
Publication date:	11/23/2010
Series:	Abel Symposia , #3
Edition description:	Softcover reprint of hardcover 1st ed. 2008
Pages:	127
Product dimensions:	6.10(w) x 9.25(h) x 0.01(d)

Table of Contents

Geometric Methods in Engineering Applications.- Boundary Integral Equations for the Laplace-Beltrami Operator.- Numerical Study of Nearly Singular Solutions of the 3-D Incompressible Euler Equations.- Energy-Preserving and Stable Approximations for the Two-Dimensional Shallow Water Equations.- A Conjecture about Molecular Dynamics.- The Dynamics of Transition to Turbulence in Plane Couette Flow.