RECENT ADVANCES IN COMPUTATIONAL SCIENCES
Selected Papers from the International Workshop on Computational Sciences and Its Education
Beijing, China, 29 – 31 August 2005
edited by Palle Jorgensen (University of Iowa, USA), Xiaoping Shen (Ohio University, USA), Chi-Wang Shu (Brown University, USA),
&
Ningning Yan (Chinese Academy of Sciences, China)
Table of Contents (333k)
Preface (46k)
Chapter 1: Generalized Riemann Problems: From the Scalar Equation to Multidimensional Fluid Dynamics (10,294k)
This book presents state-of-the-art lectures delivered by international academic and industrial experts in the field of computational science and its education, covering a wide spectrum from theory to practice. Topics include new developments in finite element method (FEM), finite volume method and Spline theory, such as Moving Mesh Methods, Galerkin and Discontinuous Galerkin Schemes, Shape Gradient Methods, Mixed FEMs, Superconvergence techniques and Fourier spectral approximations with applications in multidimensional fluid dynamics; Maxwell equations in discrepancy media; and phase-field equations. It also discusses some interesting topics related to Stokes equations, Schrödinger equations, wavelet analysis and approximation theory. Contemporary teaching issues in curriculum reform also form an integral part of the book.
This book will therefore be of significant interest and value to all graduates, research scientists and practitioners facing complex computational problems. Administrators and policymakers will find it is an addition to their mathematics curriculum reform libraries.
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