An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations | Paper Citation Record

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This paper cites Optimizing cubature for efficient integration of subspace deformations.ACM transactions on graphics (TOG), 27(5):1–10, 2008.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Optimizing cubature for efficient integration of subspace deformations.ACM transactions on graphics (TOG), 27(5):1–10, 2008

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This paper cites Low-rank tensor methods for partial differential equations.Acta Numerica, 32:1–121, 2023.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Low-rank tensor methods for partial differential equations.Acta Numerica, 32:1–121, 2023

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This paper cites Implicit-explicit runge–kutta schemes for hyperbolic systems and kinetic equations in the diffusion limit.SIAM Journal on Scientific Computing, 35(1):A22–A51, 2013.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Implicit-explicit runge–kutta schemes for hyperbolic systems and kinetic equations in the diffusion limit.SIAM Journal on Scientific Computing, 35(1):A22–A51, 2013

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This paper cites Asymptotic preserving semi- Lagrangian discontinuous Galerkin methods for multiscale kinetic transport equations.Journal of Computational Physics, 513:113190, 2024.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Asymptotic preserving semi- Lagrangian discontinuous Galerkin methods for multiscale kinetic transport equations.Journal of Computational Physics, 513:113190, 2024

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An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Unresolved cited work

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This paper cites Springer, 1988.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Springer, 1988

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This paper cites A Galerkin Alternating Projection Method for Kinetic Equations in the Diffusive Limit.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations A Galerkin Alternating Projection Method for Kinetic Equations in the Diffusive Limit

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This paper cites A rank-adaptive robust integrator for dynamical low-rank approximation.BIT Numerical Mathematics, 62(4):1149–1174, 2022.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations A rank-adaptive robust integrator for dynamical low-rank approximation.BIT Numerical Mathematics, 62(4):1149–1174, 2022

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This paper cites An unconventional robust integrator for dynamical low-rank approximation.BIT Numerical Mathematics, 62:23–44, 2022.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations An unconventional robust integrator for dynamical low-rank approximation.BIT Numerical Mathematics, 62:23–44, 2022

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This paper cites Chandrasekhar.Radiative Transfer.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Chandrasekhar.Radiative Transfer

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This paper cites Nonlinear model reduction via discrete empirical interpolation.SIAM Journal on Scientific Computing, 32(5):2737–2764, 2010.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Nonlinear model reduction via discrete empirical interpolation.SIAM Journal on Scientific Computing, 32(5):2737–2764, 2010

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This paper cites Interpolatory dynamical low-rank approximation for the 3+3d Boltzmann-BGK equation.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Interpolatory dynamical low-rank approximation for the 3+3d Boltzmann-BGK equation

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This paper cites Numerical methods for kinetic equations.Acta Numerica, 23:369–520, 2014.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Numerical methods for kinetic equations.Acta Numerica, 23:369–520, 2014

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This paper cites Accuracy and stability analysis of the semi- lagrangian method for stiff hyperbolic relaxation systems and kinetic BGK model.Multiscale Modeling & Simulation, 21(1):143–167, 2023.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Accuracy and stability analysis of the semi- lagrangian method for stiff hyperbolic relaxation systems and kinetic BGK model.Multiscale Modeling & Simulation, 21(1):143–167, 2023

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This paper cites Dynamical low-rank integrator for the linear boltzmann equation: Error analysis in the diffusion limit.SIAM Journal on Numerical Anal- ysis, 59(4):2254–2285, 2021.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Dynamical low-rank integrator for the linear boltzmann equation: Error analysis in the diffusion limit.SIAM Journal on Numerical Anal- ysis, 59(4):2254–2285, 2021

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This paper cites A new selection operator for the discrete empirical inter- polation method—improved a priori error bound and extensions.SIAM Journal on Scientific Computing, 38(2):A631–A648, 2016.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations A new selection operator for the discrete empirical inter- polation method—improved a priori error bound and extensions.SIAM Journal on Scientific Computing, 38(2):A631–A648, 2016

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This paper cites Asymptotic-preserving and energy stable dynamical low-rank approximation.SIAM Journal on Numerical Analysis, 62(1):73–92, 2024.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Asymptotic-preserving and energy stable dynamical low-rank approximation.SIAM Journal on Numerical Analysis, 62(1):73–92, 2024

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This paper cites An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation.Journal of Computa- tional Physics, 439:110353, 2021.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation.Journal of Computa- tional Physics, 439:110353, 2021

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This paper cites An efficient dynamical low-rank algorithm for the Boltzmann-BGK equation close to the compressible viscous flow regime.SIAM Journal on Scientific Computing, 43(5):B1057–B1080, 2021.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations An efficient dynamical low-rank algorithm for the Boltzmann-BGK equation close to the compressible viscous flow regime.SIAM Journal on Scientific Computing, 43(5):B1057–B1080, 2021

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This paper cites McClarren, and Jing-Mei Qiu.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations McClarren, and Jing-Mei Qiu

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This paper cites A low-rank projector-splitting integrator for the Vlasov–Poisson equation.SIAM Journal on Scientific Computing, 40(5):B1330–B1360, 2018.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations A low-rank projector-splitting integrator for the Vlasov–Poisson equation.SIAM Journal on Scientific Computing, 40(5):B1330–B1360, 2018

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This paper cites Asymptotic-preserving and energy stable dynamical low-rank approximation for thermal radiative transfer equations.Multiscale Modeling & Simulation, 23(1):278–312, 2025.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Asymptotic-preserving and energy stable dynamical low-rank approximation for thermal radiative transfer equations.Multiscale Modeling & Simulation, 23(1):278–312, 2025

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This paper cites Ganapol.Analytical Benchmarks for Nuclear Engineering Applications: Case Studies in Neutron Transport Theory.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Ganapol.Analytical Benchmarks for Nuclear Engineering Applications: Case Studies in Neutron Transport Theory

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This paper cites A DEIM Tucker tensor cross algorithm and its application to dynamical low-rank approximation.Computer Methods in Applied Mechanics and Engineering, 423:116879, 2024.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations A DEIM Tucker tensor cross algorithm and its application to dynamical low-rank approximation.Computer Methods in Applied Mechanics and Engineering, 423:116879, 2024

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This paper cites A local macroscopic conservative (LoMaC) low rank tensor method with the discontinuous galerkin method for the Vlasov dynamics.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations A local macroscopic conservative (LoMaC) low rank tensor method with the discontinuous galerkin method for the Vlasov dynamics

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This paper cites An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration

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This paper cites Highly Efficient Rank-Adaptive Sweep-based SI-DSA for the Radiative Transfer Equation via Mild Space Augmentation.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Highly Efficient Rank-Adaptive Sweep-based SI-DSA for the Radiative Transfer Equation via Mild Space Augmentation

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This paper cites A conservative low rank tensor method for the Vlasov dynamics.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations A conservative low rank tensor method for the Vlasov dynamics

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This paper cites Efficient SN-like and PN-like dynamic low rank methods for thermal radiative transfer.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Efficient SN-like and PN-like dynamic low rank methods for thermal radiative transfer

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This paper cites Dimensional hyper- reduction of nonlinear finite element models via empirical cubature.Computer methods in applied mechanics and engineering, 313:687–722, 2017.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Dimensional hyper- reduction of nonlinear finite element models via empirical cubature.Computer methods in applied mechanics and engineering, 313:687–722, 2017

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An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Unresolved cited work

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This paper cites Efficient asymptotic-preserving (AP) schemes for some multiscale kinetic equations.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Efficient asymptotic-preserving (AP) schemes for some multiscale kinetic equations

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This paper cites Asymptotic-preserving schemes for multiscale physical problems.Acta Numerica, 31:1–82, 2022.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Asymptotic-preserving schemes for multiscale physical problems.Acta Numerica, 31:1–82, 2022

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This paper cites Discretized dynamical low-rank approxima- tion in the presence of small singular values.SIAM Journal on Numerical Analysis, 54:1020– 1038, 2016.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Discretized dynamical low-rank approxima- tion in the presence of small singular values.SIAM Journal on Numerical Analysis, 54:1020– 1038, 2016

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An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Dynamical low-rank approximation.SIAM Journal on Matrix Analysis and Applications, 29(2):434–454, 2007

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This paper cites A semi-lagrangian Vlasov solver in tensor train format.SIAM Journal on Scientific Computing, 37(4):B613–B632, 2015.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations A semi-lagrangian Vlasov solver in tensor train format.SIAM Journal on Scientific Computing, 37(4):B613–B632, 2015

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This paper cites A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy.ESAIM: Mathematical Modelling and Numerical Analysis, 57(2):865–891, 2023.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy.ESAIM: Mathematical Modelling and Numerical Analysis, 57(2):865–891, 2023

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This paper cites McClarren, and Martin Frank.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations McClarren, and Martin Frank

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An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Larsen and Jim E

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An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations A new asymptotic preserving scheme based on micro- macro formulation for linear kinetic equations in the diffusion limit.SIAM Journal on Scientific Computing, 31:334–368, 2008

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An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations John Wiley and Sons, Inc., New York, NY, 1983

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An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Temporal-stability-enhanced and energy-stable dynamical low-rank approximation for multiscale linear kinetic transport equa- tions.arXiv preprint arXiv:2602.12337, 2026

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This paper cites Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit.SIAM Journal on Numerical Analysis, 48:1474–1491, 2010.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit.SIAM Journal on Numerical Analysis, 48:1474–1491, 2010

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An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Oseledets

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This paper cites Asymptotic preserving IMEX-DG-S schemes for linear kinetic transport equations based on schur complement.SIAM Journal on Scientific Computing, 43(2):A1194–A1220, 2021.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Asymptotic preserving IMEX-DG-S schemes for linear kinetic transport equations based on schur complement.SIAM Journal on Scientific Computing, 43(2):A1194–A1220, 2021

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An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations McClarren

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This paper cites McClarren, and Martin Frank.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations McClarren, and Martin Frank

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An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Unresolved cited work

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This paper cites Sands, Jing-Mei Qiu, Daniel Hayes, and Nanyi Zheng.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Sands, Jing-Mei Qiu, Daniel Hayes, and Nanyi Zheng

Reference 49

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Observation 9f386b24-6978-48b0-8053-fbbe90e0a998 · outbound

This paper cites Tyrtyshnikov, Sergei A.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Tyrtyshnikov, Sergei A

Reference 50

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Observation c008056a-f123-4be8-b08f-45c956e507dd · outbound

This paper cites Asymptotic Preserving and Uniformly Un- conditionally Stable Finite Difference Schemes for Kinetic Transport Equations.SIAM Journal on Scientific Computing, 45(5):B697–B730, 2023.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Asymptotic Preserving and Uniformly Un- conditionally Stable Finite Difference Schemes for Kinetic Transport Equations.SIAM Journal on Scientific Computing, 45(5):B697–B730, 2023

Reference 51

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Observation aa0209db-7abd-4210-8686-27a641e01eb4 · outbound

This paper cites A semi-lagrangian adaptive- rank (SLAR) method for linear advection and nonlinear Vlasov-Poisson system.Journal of Computational Physics, 532:113970, 2025.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations A semi-lagrangian adaptive- rank (SLAR) method for linear advection and nonlinear Vlasov-Poisson system.Journal of Computational Physics, 532:113970, 2025

Reference 52

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Observation 1b09bdff-ca99-418c-8145-cc75d640d382 · outbound

This paper cites Sands, Daniel Hayes, Andrew J.

An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations Sands, Daniel Hayes, Andrew J

Reference 53

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