An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction
type: Item
instance of: scholarly article
title: An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction
zbMATH Open document ID: 1380.65300
author: Michael M. Crockatt
author: C. Kristopher Garrett
author: Cory D. Hauck
author: Andrew Christlieb
published in: Journal of Computational Physics
publication date: 2018-01-25T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35R09
zbMATH DE Number: 6829691
zbMATH Keywords: hybrid methods
zbMATH Keywords: kinetic equations
zbMATH Keywords: integral deferred correction
zbMATH Keywords: fully implicit methods
zbMATH Keywords: high-order accuracy
describes a project that uses: RODAS
describes a project that uses: RADAU
describes a project that uses: pySDC
MaRDI profile type: Publication
full work available at URL: j.jcp.2017.06.017
OpenAlex ID: W2626254232
cites work: ANGULAR QUADRATURES FOR IMPROVED TRANSPORT COMPUTATIONS
cites work: Rotationally invariant quadratures for the sphere
cites work: High-Order Entropy-Based Closures for Linear Transport in Slab Geometry II: A Computational Study of the Optimization Problem
cites work: An Interior Penalty Finite Element Method with Discontinuous Elements
cites work: Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
cites work: Q3841797
cites work: Spherical harmonics and approximations on the unit sphere. An introduction
cites work: A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
cites work: Chebyshev and Fourier spectral methods.
cites work: Q4500701
cites work: Two-dimensional time dependent Riemann solvers for neutron transport
cites work: An a priori error analysis of the local discontinuous Galerkin method for elliptic problems
cites work: A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives
cites work: Implicit parallel time integrators
cites work: Integral deferred correction methods constructed with high order Runge–Kutta integrators
cites work: A Parallel Space-Time Algorithm
cites work: High order operator splitting methods based on an integral deferred correction framework
cites work: Parallel High-Order Integrators
cites work: Comments on high-order integrators embedded within integral deferred correction methods
cites work: The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
cites work: Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids
cites work: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
cites work: TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
cites work: The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
cites work: The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
cites work: The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
cites work: Q3242006
cites work: Radiative Transfer Problem in Dusty Galaxies: Ray-Tracing Approach
cites work: Spectral deferred correction methods for ordinary differential equations
cites work: Q5189317
cites work: An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport
cites work: Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit
cites work: Uniform asymptotic expansions in transport theory with small mean free paths, and the diffusion approximation
cites work: Q4714145
cites work: Stiff differential equations solved by Radau methods
cites work: On the spectral deferred correction of splitting methods for initial value problems
cites work: Positive $P_N$ Closures
cites work: High-order entropy-based closures for linear transport in slab geometry
cites work: A Collision-Based Hybrid Method for Time-Dependent, Linear, Kinetic Transport Equations
cites work: Accelerating the convergence of spectral deferred correction methods
cites work: An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
cites work: Solution of Radiative Transfer Problems with Finite Elements
cites work: An analysis of the spectrum of the discontinuous Galerkin method
cites work: An analysis of the spectrum of the discontinuous Galerkin method. II: Nonuniform grids
cites work: Implicit filtered \(P_N\) for high-energy density thermal radiation transport using discontinuous Galerkin finite elements
cites work: Properties of the implicitly time-differenced equations of thermal radiation transport
cites work: Q4109239
cites work: Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations
cites work: Quadratures on a sphere
cites work: Robust and accurate filtered spherical harmonics expansions for radiative transfer
cites work: Simulating radiative transfer with filtered spherical harmonics
cites work: A modified implicit Monte Carlo method for time-dependent radiative transfer with adaptive material coupling
cites work: Diffusive Corrections to $P_N$ Approximations
cites work: Polynomial interpolation and hyperinterpolation over general regions
cites work: Constructive polynomial approximation on the sphere

An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction (cites work)
cites work: Time dependent transport equation with continuous solutions (I) convergence of discrete ordinates approximation

An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction (cites work)
cites work: A multi-level spectral deferred correction method

An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction (cites work)
cites work: Inexact Spectral Deferred Corrections

An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction (cites work)
cites work: Time dependent linear transport III

An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction (DOI)
DOI: 10.1016/J.JCP.2017.06.017