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E-raamat: Recent Advances In Computational Sciences: Selected Papers From The International Workshop On Computational Sciences And Its Education

Edited by (The Univ Of Iowa, Usa), Edited by (Ohio Univ, Usa), Edited by (Brown Univ, Usa)
  • Formaat: 396 pages
  • Ilmumisaeg: 31-Jul-2008
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • Keel: eng
  • ISBN-13: 9789814475365
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  • Raamatukogudele
  • Formaat: 396 pages
  • Ilmumisaeg: 31-Jul-2008
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • Keel: eng
  • ISBN-13: 9789814475365

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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.
Preface v
Generalized Riemann Problems: From the Scalar Equation to Multidimensional Fluid Dynamics
1(49)
M. Ben-Artizi
J. Falcovitz
Some Observations on a Multiscale Finite Element Method for Problems with Variables Spearated Coefficients
50(15)
S. Jiang
Y-Q. Huang
A Finite Element Method for the Simulation of a Liquid Droplted Impinging on a Solid Surface
65(15)
S. Ganesan
L. Tobiska
Applications of Moving Mesh Methods to the Fourier Spectral Approximations fo Phase-Field Equations
80(20)
P. Yu
L. Q. Chaen
Q. Du
On the Comparison of Evolution Galerkin and Discontinuous Galerkin Schemes
100(16)
K. Baumbach
M. Lukacova-Medvidova
Time Domain Finite Element Methods for maxwell's Equations in Dispersive Media: A Review
116(17)
J. Li
Y. Chen
Superconvergence and A Posteriori Error Estimates of Nonconforming FEM for Boundary Control Governed by Stokes Equations
133(23)
H. Liu
N. Yan
Optimal Superconvergent One Step Quadratic Spline Collocation Methods for Helmholtz Problems
156(19)
B. Bialecki
G. Fairweather
A. Karageorghis
Q.N. Nguyen
Some Progress on Superconvergence for Mixed Finite Element Methods
175(26)
S. Jia
H. Xie
X. Yin
Convergence of Green Iterations for Schrodinger Equations
201(8)
M. J. Mohlenkamp
T. Young
Convolution and Wiener Amalgam Spaces on the Affine Group
209(9)
C. Heil
G. Kutyniok
An Approximation Formula in Hilbert Space
218(10)
Z. Zhang
N. Saito
The Gibbs Phenomenon: A Digression in Wavelet Hybrid Sampling Series
228(15)
X. A. Shen
A Unified Framework for Segmentation-Assisted Image Registration
243(12)
J. Liu
W. Yang
Geometric Hermite Interpolation with Pythagorean Hodograph Cubics
255(6)
X. A. Han
Y.-C. Ma
H.-Y. Sun
Shape Gradient for the Stokes Flow by Dierentiability of a Saddle Point
261(17)
Z. Gao
Y. Ma
Numerical Simulation of Flow Over Two Rotating Self-Moving Circular Cylinders
278(19)
S. Sungnul
N. P. Moshkin
A Note on PPT Forms and Separability of Multipartite States
297(7)
X.-H. Wang
S.-M. Fei
K. Wu
A Structured Data Least Squares Algorithm and Its Application in Digital Filtering
304(14)
H. Guo
R. Renaut
Short Implementation of Bisection in Matlab
318(15)
L. Chen
An Improved Iterative Regularization Based on Varying the Singular Values of the Regularization Operator
333(13)
R. Zhang
Y.-C. Ma
X.-B. Duan
Linear Algebra: A Happy Chance to Apply Mathematics
346(11)
G. Strang
Calculus's Accuracy
357(14)
Q. Lin
Teaching of Mathematics at Various Levels in an International University-System, and Connections to Research and to Current Trends in Technology
371(10)
P. Jorgensen
Author Index 381