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On the Choice of Design Points for Least Square Polynomial Approximations with Application to Uncertainty Quantification
《Communications in Computational Physics》2014年第7期365-381,共17页Zhen Gao Tao Zhou 
supported by National Natural Science Foundation of China(11201441);the Natural Science Foundation of Shandong Province(ZR2012AQ003);and China Postdoctoral Science Foundation(2012M521374/2013T60684);The second author is supported by the National Natural Science Foundation of China(No.91130003 and No.11201461).
In this work,we concern with the numerical comparison between different kinds of design points in least square(LS)approach on polynomial spaces.Such a topic is motivated by uncertainty quantification(UQ).Three kinds o...
关键词：Least square polynomial approximations uncertainty quantification condition number. 
High-Order Schemes Combining the Modified Equation Approach and Discontinuous Galerkin Approximations for the Wave Equation
《Communications in Computational Physics》2012年第2期691-708,共18页Cyril Agut Julien Diaz Abdelaaziz Ezziani 
supported by the Conseil General des Pyrenees Atlantiques.
We present a new high ordermethod in space and time for solving the wave equation,based on a newinterpretation of the“Modified Equation”technique.Indeed,contrary to most of the works,we consider the time discretizat...
关键词：High order schemes discontinuous Galerkin method acoustic wave equation 
NumericalMethods for Balance Laws with Space Dependent Flux:Application to Radiotherapy Dose Calculation
《Communications in Computational Physics》2011年第10期1184-1210,共27页Christophe Berthon Martin Frank Celine Sarazin Rodolphe Turpault 
supported by the Federation de Recherche des Pays de Loire FR9962 of the Centre National de la Recherche Scientifique(CNRS);by the German Research Foundation DFG under grant KL 1105/14/2;and by German Academic Exchange Service DAAD under grant D/0707534;The third author would like to thank the Fraunhofer ITWM for its financial support.
The present work is concerned with the derivation of numerical methods to approximate the radiation dose in external beam radiotherapy.To address this issue,we consider a moment approximation of radiative transfer,clo...
关键词：RADIOTHERAPY hyperbolic system of conservation laws source term approximations finite volume methods 
Hyperbolic Moment Equations in Kinetic Gas Theory Based on Multi-Variate Pearson-IV-Distributions
《Communications in Computational Physics》2010年第4期639-673,共35页Manuel Torrilhon 
In this paper we develop a new closure theory for moment approximationsin kinetic gas theory and derive hyperbolic moment equations for 13 fluid variablesincluding stress and heat flux. Classical equations have either...
关键词：Kinetic gas theory moment approximations hyperbolic partial differential equations. 
p-Multigrid Method for Fekete-Gauss Spectral Element Approximations of Elliptic Problems
《Communications in Computational Physics》2009年第2期667-682,共16页Richard Pasquetti Francesca Rapetti 
An efficient p-multigrid method is developed to solve the algebraic systems which result from the approximation of elliptic problems with the so-called FeketeGauss Spectral Element Method,which makes use of the Fekete...
关键词：Spectral elements Fekete points multigrid methods 
Discrete Image Approximations of Ionic Solvent Induced Reaction Field to Charges
《Communications in Computational Physics》2007年第5期1007-1026,共20页Shaozhong Deng Wei Cai 
support of the National Science Foundation(grant numbers:DMS0408309,CCF-0513179);the Department of Energy(grant number:DEFG0205ER25678);the NERSC Computing Award for the work reported in this paper.
Two methods of discrete images are proposed to approximate the reaction field from ionic solvent for a point charge inside a dielectric spherical cavity.Fast and accurate calculation of such a reaction field is needed...
关键词：Method of images reaction field ionic solvent hybrid solvation model. 
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