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» Convergence of rank-type equations
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79
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SIAMNUM
2010
113views more  SIAMNUM 2010»
14 years 4 months ago
Compactness Properties of the DG and CG Time Stepping Schemes for Parabolic Equations
Abstract. It is shown that for a broad class of equations that numerical solutions computed using the discontinuous Galerkin or the continuous Galerkin time stepping schemes of arb...
Noel Walkington
ITP
2010
118views Mathematics» more  ITP 2010»
15 years 1 months ago
Formal Proof of a Wave Equation Resolution Scheme: The Method Error
Abstract. Popular finite difference numerical schemes for the resolution of the one-dimensional acoustic wave equation are well-known to be convergent. We present a comprehensive...
Sylvie Boldo, François Clément, Jean...
CSC
2006
14 years 11 months ago
Symmetric Positive Definite Based Preconditioners For Discrete Convection-diffusion Problems
Abstract -- We experimentally examine the performance of preconditioners based on entries of the symmetric positive definite part and small subspace solvers for linear system of eq...
Mohammad Sameer Sunhaloo, Muddun Bhuruth
SIAMSC
2010
130views more  SIAMSC 2010»
14 years 7 months ago
Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation
The radiative transfer equation (RTE) occurs in a wide variety of applications. In this paper, we study discrete-ordinate discontinuous Galerkin methods for solving the RTE. The nu...
Weimin Han, Jianguo Huang, Joseph A. Eichholz
66
Voted
SIAMNUM
2010
140views more  SIAMNUM 2010»
14 years 4 months ago
Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise
Semidiscrete finite element approximation of the linear stochastic wave equation with additive noise is studied in a semigroup framework. Optimal error estimates for the determinis...
Mihály Kovács, Stig Larsson, Fardin ...