A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs

Journal of Computational Physics（2022）

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摘要

•Develop a bi-fidelity method for linear transport equations with random parameters.•Employ the Goldstein-Taylor as low-fidelity model to accelerate convergence of the scheme.•The first work to apply multi-fidelity approach to kinetic equations under the diffusive scaling.

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关键词

Transport equations,Uncertainty quantification,Bi-fidelity method,Goldstein-Taylor model,Asymptotic-preserving schemes,Diffusive scaling

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