Spatial second-order positive and asymptotic preserving unified gas kinetic schemes for radiative transfer equations

X Xu, S Jiang, W Sun - Journal of Scientific Computing, 2023 - Springer
We propose two spatial second-order schemes for linear radiative transfer equations by
using the idea of the unified gas kinetic scheme (UGKS) to construct the numerical boundary …

Positive Filtered P Moment Closures for Linear Kinetic Equations

MP Laiu, CD Hauck, RG McClarren, DP O'Leary… - SIAM Journal on …, 2016 - SIAM
We propose a positive-preserving moment closure for linear kinetic transport equations
based on a filtered spherical harmonic (FP _N) expansion in the angular variable. The …

A constraint-reduced MPC algorithm for convex quadratic programming, with a modified active set identification scheme

MP Laiu, AL Tits - Computational Optimization and Applications, 2019 - Springer
A constraint-reduced Mehrotra-predictor-corrector algorithm for convex quadratic
programming is proposed.(At each iteration, such algorithms use only a subset of the …

Positivity limiters for filtered spectral approximations of linear kinetic transport equations

MP Laiu, CD Hauck - Journal of Scientific Computing, 2019 - Springer
We analyze the properties and compare the performance of several positivity limiters for
spectral approximations with respect to the angular variable of linear transport equations. It …

Second-Order Positive and Asymptotic Preserving Unified Gas Kinetic Schemes for Radiative Transfer Equations

X Xu, S Jiang - papers.ssrn.com
We propose two second-order schemes for linear radiative transfer equations by using the
idea ofthe unified gas kinetic scheme (UGKS) to construct the numerical boundary fluxes …