首页|High Order IMEX Stochastic Galerkin Schemes for Linear Transport Equation with Random Inputs and Diffusive Scalings
High Order IMEX Stochastic Galerkin Schemes for Linear Transport Equation with Random Inputs and Diffusive Scalings
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In this paper,we consider the high order method for solving the linear transport equations under diffusive scaling and with random inputs.To tackle the randomness in the prob-lem,the stochastic Galerkin method of the generalized polynomial chaos approach has been employed.Besides,the high order implicit-explicit scheme under the micro-macro decomposition framework and the discontinuous Galerkin method have been employed.We provide several numerical experiments to validate the accuracy and the stochastic asymptotic-preserving property.
Stochastic Galerkin schemelinear transport equationsgeneralized polynomial approachstochastic asymptotic-preserving property
Zheng Chen、Lin Mu
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Department of Mathematics,University of Massachusetts Dartmouth,285 Old Westport Road,Dartmouth 02747,MA,USA
Department of Mathematics,University of Georgia,Athens 30602,GA,USA
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