Recent Advances in Computational Sciences: Selected Papers from the International Workshop on Computational Sciences and Its Education

Shen, Xiaoping (EDT)/ Shu, Chi-wang (EDT)/ Jorgensen, Palle (EDT)

World Scientific Publishing Co Pte Ltd（2008/08発売）

• 製本 Hardcover:ハードカバー版／ページ数 396 p.
• 言語 ENG
• 商品コード 9789812707000
• DDC分類 004.07

Full Description

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.

Contents

Generalized Riemann Problems: From the Scalar Equation to Multidimensional Fluid Dynamics (M Ben-Artzi & J Falcovitz); Convolution and Wiener Amalgam Spaces on the Affine Group (C Heil & G Kutynioky); Superconvergence and a Posteriori Error Estimates of Nonconforming FEM for Boundary Control Governed by Stokes Equations (H Liu & N Yan); A Finite Element Method for the Simulation of a Liquid Droplet Impinging on a Solid Surface (S Ganesan & L Tobiska); An Approximation Formula in Hilbert Space (Z Zhang & N Saito); Convergence of Green Iterations for Schrodinger Equations (T Young & M Mohlenkamp); Numerical Simulation of Flow Over Two Rotating Self-Moving Circular Cylinders (S Sungnul & N P Moshkin); The Gibbs Phenomenon: A Digression in Wavelet Sampling Series (X Shen); Linear Algebra: A Happy Chance to Apply Mathematics (G Strang); Calculus's Accuracy (Q Lin); Teaching of Mathematics at Various Levels in an International University-System, and Connections to Research and to Current Trends in Technology (P Jorgensen); and other papers.