Recent Advances in Computational Sciences

by Jorgensen, Palle; Shen, Xiaoping; Shu, Chi-Wang; Yan, Ningning

• ISBN13: 9789812707000
• ISBN10: 981270700X
• Format: Hardcover
• Copyright: 2008-11-15
• Publisher: World Scientific Pub Co Inc

Summary

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.

Table of Contents

Preface	p. v
Generalized Riemann Problems: From the Scalar Equation to Multidimensional Fluid Dynamics	p. 1
Some Observations on a Multiscale Finite Element Method for Problems with Variables Separated Coefficients	p. 50
A Finite Element Method for the Simulation of a Liquid Droplet Impinging on a Solid Surface	p. 65
Applications of Moving Mesh Methods to the Fourier Spectral Approximations of Phase-Field Equations	p. 80
On the Comparison of Evolution Galerkin and Discontinuous Galerkin Schemes	p. 100
Time-Domain Finite Element Methods for Maxwell's Equations in Dispersive Media: A Review	p. 116
Superconvergence and A Posteriori Error Estimates of Nonconforming FEM for Boundary Control Governed by Stokes Equations	p. 133
Optimal Superconvergent One Step Quadratic Spline Collocation Methods for Helmholtz Problems	p. 156
Some Progress on Superconvergence for Mixed Finite Element Methods	p. 175
Convergence of Green Iterations for Schrodinger Equations	p. 201
Convolution and Wiener Amalgam Spaces on the Affine Group	p. 209
An Approximation Formula in Hilbert Space	p. 218
The Gibbs Phenomenon: A Digression in Wavelet Hybrid Sampling Series	p. 228
A Unified Framework for Segmentation-Assisted Image Registration	p. 243
Geometric Hermite Interpolation with Pythagorean Hodograph Cubics	p. 255
Shape Gradient for the Stokes Flow by Dierentiability of a Saddle Point	p. 261
Numerical Simulation of Flow Over Two Rotating Self-Moving Circular Cylinders	p. 278
A Note on PPT Forms and Separability of Multipartite States	p. 297
A Structured Data Least Squares Algorithm and Its Application in Digital Filtering	p. 304
Short Implementation of Bisection in Matlab	p. 318
An Improved Iterative Regularization Based on Varying the Singular Values of the Regularization Operator	p. 333
Linear Algebra: A Happy Chance to Apply Mathematics	p. 346
Calculus's Accuracy	p. 357
Teaching of Mathematics at Various Levels in an International University-System, and Connections to Research and to Current Trends in Technology	p. 371
Author Index	p. 381
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