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CSC
2006
13 years 9 months ago
Statistical Analysis of Linear Random Differential Equation
In this paper, a new method is proposed in order to evaluate the stochastic solution of linear random differential equation. The method is based on the combination of the probabili...
Seifedine Kadry
CORR
2007
Springer
100views Education» more  CORR 2007»
13 years 7 months ago
Finite Volume Analysis of Nonlinear Thermo-mechanical Dynamics of Shape Memory Alloys
In this paper, the finite volume method is developed to analyze coupled dynamic problems of nonlinear thermoelasticity. The major focus is given to the description of martensitic ...
Linxiang X. Wang, Roderick V. N. Melnik
AMC
2005
150views more  AMC 2005»
13 years 7 months ago
High order fitted operator numerical method for self-adjoint singular perturbation problems
We consider self-adjoint singularly perturbed two-point boundary value problems in conservation form. Highest possible order of uniform convergence for such problems achieved hith...
Kailash C. Patidar
SIAMSC
2010
170views more  SIAMSC 2010»
13 years 2 months ago
Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction
An adaptive ADER finite volume method on unstructured meshes is proposed. The method combines high order polyharmonic spline WENO reconstruction with high order flux evaluation. Po...
Terhemen Aboiyar, Emmanuil H. Georgoulis, Armin Is...
MOC
2002
81views more  MOC 2002»
13 years 7 months ago
Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection--diffusion problem
We study the convergence properties of the hp-version of the local discontinuous Galerkin finite element method for convection-diffusion problems; we consider a model problem in a ...
Paul Castillo, Bernardo Cockburn, Dominik Schö...