4.6 Article

High Order Asymptotic Preserving Hermite WENO Fast Sweeping Method for the Steady-State SN Transport Equations

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Physics, Mathematical

High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

Yupeng Ren et al.

Summary: In this paper, a novel HWENO framework is proposed by combining nonlinear HWENO reconstruction with fixed-point iteration using Gauss-Seidel fast sweeping strategy. The method shows higher computational efficiency and simpler boundary treatment compared to traditional HWENO frameworks. By updating the numerical approximation using fixed-point fast sweeping method, it resolves known issues and achieves good performance in extensive numerical experiments on two-dimensional problems.

COMMUNICATIONS IN COMPUTATIONAL PHYSICS (2022)

Article Chemistry, Analytical

Determination of 38 pharmaceuticals and personal care products in water by lyophilization combined with liquid chromatography-tandem mass spectrometry

Yiqing Zhang et al.

Summary: A convenient, effective, and low-cost method was developed for the determination of 38 pharmaceuticals and personal care products (PPCPs), including 19 antibiotics in surface water samples by lyophilization combined with liquid chromatography-tandem quadrupole mass spectrometry (LC-MS/MS). The method optimization included extraction solvent, sample volume, and solvent volume to improve efficiency and accuracy of detection.

ANALYTICAL METHODS (2021)

Article Nuclear Science & Technology

High-Order Lax-Friedrichs WENO Fast Sweeping Methods for the SN Neutron Transport Equation

Dean Wang et al.

NUCLEAR SCIENCE AND ENGINEERING (2019)

Article Nuclear Science & Technology

The Asymptotic Diffusion Limit of Numerical Schemes for the SN Transport Equation

Dean Wang

NUCLEAR SCIENCE AND ENGINEERING (2019)

Article Nuclear Science & Technology

A Coarse-Mesh Diffusion Synthetic Acceleration Method with Local hp Adaptation for Neutron Transport Calculations

Tseelmaa Byambaakhuu et al.

NUCLEAR SCIENCE AND ENGINEERING (2018)

Article Physics, Mathematical

High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

Liang Wu et al.

COMMUNICATIONS IN COMPUTATIONAL PHYSICS (2016)

Article Computer Science, Interdisciplinary Applications

Directly solving the Hamilton-Jacobi equations by Hermite WENO Schemes

Feng Zheng et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2016)

Article Mathematics, Applied

Finite Difference Hermite WENO Schemes for Hyperbolic Conservation Laws

Hongxia Liu et al.

JOURNAL OF SCIENTIFIC COMPUTING (2015)

Article Mathematics, Applied

A Third Order Fast Sweeping Method with Linear Computational Complexity for Eikonal Equations

Liang Wu et al.

JOURNAL OF SCIENTIFIC COMPUTING (2015)

Article Computer Science, Interdisciplinary Applications

Lax-Friedrichs fast sweeping methods for steady state problems for hyperbolic conservation laws

Weitao Chen et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2013)

Article Computer Science, Interdisciplinary Applications

A uniformly second order fast sweeping method for eikonal equations

Songting Luo

JOURNAL OF COMPUTATIONAL PHYSICS (2013)

Article Mathematics, Applied

UNIFORMLY ACCURATE DISCONTINUOUS GALERKIN FAST SWEEPING METHODS FOR EIKONAL EQUATIONS

Yong-Tao Zhang et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2011)

Article Mathematics, Applied

Fast Sweeping Fifth Order WENO Scheme for Static Hamilton-Jacobi Equations with Accurate Boundary Treatment

Tao Xiong et al.

JOURNAL OF SCIENTIFIC COMPUTING (2010)

Article Mathematics, Applied

ASYMPTOTIC ANALYSIS OF UPWIND DISCONTINUOUS GALERKIN APPROXIMATION OF THE RADIATIVE TRANSPORT EQUATION IN THE DIFFUSIVE LIMIT

Jean-Luc Guermond et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2010)

Article Computer Science, Interdisciplinary Applications

A second order discontinuous Galerkin fast sweeping method for Eikonal equations

Fengyan Li et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2008)

Article Mathematics, Applied

A fast sweeping method for static convex Hamilton-Jacobi equations

Jianliang Qian et al.

JOURNAL OF SCIENTIFIC COMPUTING (2007)

Article Mathematics, Applied

High order fast sweeping methods for static Hamilton-Jacobi equations

Yong-Tao Zhang et al.

JOURNAL OF SCIENTIFIC COMPUTING (2006)

Article Computer Science, Interdisciplinary Applications

Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method II: Two dimensional case

JX Qiu et al.

COMPUTERS & FLUIDS (2005)

Article Computer Science, Interdisciplinary Applications

Hermite WENO schemes for Hamilton-Jacobi equations

JX Qiu et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2005)

Article Computer Science, Interdisciplinary Applications

Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations

CY Kao et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2004)

Article Computer Science, Interdisciplinary Applications

Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case

JX Qiu et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2004)

Article Mathematics, Applied

Fast sweeping algorithms for a class of Hamilton-Jacobi equations

YHR Tsai et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2003)

Article Nuclear Science & Technology

Discontinuous finite element transport solutions in thick diffusive problems

ML Adams

NUCLEAR SCIENCE AND ENGINEERING (2001)