On Finite-Difference Methods for Solving Discrete-Ordinates Transport Equations

H. D. Victory, Keshab Ganguly

Type: Article

Publication Date: 1986-02-01

Citations: 17

DOI: https://doi.org/10.1137/0723006

View

Locations

SIAM Journal on Numerical Analysis - View

Similar Works

Action	Title	Year	Authors
+	Slab geometry spatial discretization schemes with infinite-order convergence	1985	Marvin L. Adams William R. Martin
+	Finite-Difference Approximations and Superconvergence for the Discrete-Ordinate Equations in Slab Geometry	1982	Edward W. Larsen Paul Nelson
+	Convergence of the discrete ordinates method for the transport equation	1974	P. M. Anselone A.G. Gibbs
+ PDF Chat	A New Fourth-Order Finite-Difference Method for Solving Discrete-Ordinates Slab Transport Equations	1983	Beny Neta H. D. Victory
+	Comparison of the Order of Approximation in Several Spatial Difference Schemes for the Discrete-Ordinates Transport Equation in One-Dimensional Plane Geometry	1980	Suresh M. Lee Ramachandran Vaidyanathan
+	On the Convergence of Finite-Differenced Multigroup, Discrete-Ordinates Methods for Anisotropically Scattered Slab Media	1989	E.J. Allen H. D. Victory K. Ganguly
+ PDF Chat	A fast finite difference method for distributed-order space-fractional partial differential equations on convex domains	2017	Jinhong Jia Hong Wang
+	THE CONVERGENCE THEORY FOR DISCRETE-ORDINATE APPROXIMATIONS IN HIGHER SPATIAL DIMENSIONS	1982	Mingzhu Yang Guangtian Zhu
+ PDF Chat	ANALYTIC DISCRETE-ORDINATES SOLUTION FOR TIME-DEPENDENT TRANSPORT IN FINITE MEDIA	2021	Jeffery D. Densmore Gabriel Kooreman
+	Error Estimates for the Combined Spatial and Angular Approximations of the Transport Equation for Slab Geometry	1983	Juhani Pitkäranta L. Ridgway Scott
+	On the Pointwise Convergence of the Discrete-Ordinate Method	1960	Herbert B. Keller
+	On the Spatial Differencing of the Discrete Ordinate Neutron Transport Equation	1978	Juhani Pitkäranta
+	Convergence of the Discrete-Ordinates Method for Anisotropically Scattering Multiplying Particles in a Subcritical Slab	1973	Paul Nelson
+	Convergence Properties of Discrete-Ordinates Solutions for Neutron Transport in Three-Dimensional Media	1980	H. D. Victory
+	Accelerating Convergence of Discrete-Ordinates Methods	1964	John H. Bennett
+ PDF Chat	A uniformly second order numerical method for the one-dimensional discrete-ordinate transport equation and its diffusion limit with interface	2009	Shi Jin Min Tang Houde Han
+	Discrete ordinates transport methods for problems with highly forward-peaked scattering	1998	Shawn D. Pautz
+	FINITE-DIFFERENCE EQUATIONS AND NUMERICAL METHODS	1976	G. F. Carrier Carl E. Pearson
+	Numerical analysis of discrete ordinate methods	1968	I. P. Grant
+ PDF Chat	A sweep-based low-rank method for the discrete ordinate transport equation	2022	Zhuogang Peng Ryan G. McClarren

Cited by (10)

Action	Title	Year	Authors
+	Convergence of Inner Iterations for Finite-Difference Approximations to the Linear Transport Equation	1986	Paul Nelson
+	Smoothness and Superconvergence for Approximate Solutions to the One Dimensional Monoenergetic Transport Equation	1994	Graham Allen
+	A Numerical Scheme for the Integration of the Vlasov–Maxwell System of Equations	2002	A. Mangeney F. Califano Carlo Cavazzoni P. Trávnı́ček
+	On the Convergence of Finite-Differenced Multigroup, Discrete-Ordinates Methods for Anisotropically Scattered Slab Media	1989	E.J. Allen H. D. Victory K. Ganguly
+	Discrete Transport Model Eigenfunctions	1996	T. A. Germogenova
+	Finite difference approximations to time-dependent multigroup transport equations in slab geometry	1993	G. S. Chen H. H. Lee
+	Closed linear one-cell functional spatial approximations	1987	P. Nelson
+	STABILITY OF THE THETA-SCHEME FOR THE TIME-DEPENDENT, MULTIGROUP, DISCRETE ORDINATES APPROXIMATION OF THE TRANSPORT EQUATION IN SLAB GEOMETRY IN THE PRESENCE OF DELAYED NEUTRONS	2002	Lahbib Bourhrara R. Sánchez
+	Some Remarks on Convergence and Stability in Ray-Tracing Calculations	1986	Paul Nelson R. Żelazny
+	A Posteriori Error Estimation for a Nodal Method in Neutron Transport Calculations	1999	Y.Y. Azmy Gustavo C. Buscaglia O.M. Zamonsky

Citing (9)

Action	Title	Year	Authors
+	Collectively Compact Operator Approximation Theory and Applications to Integral Equations	1972	Yasuhiko Ikebe P. M. Anselone
+ PDF Chat	A New Fourth-Order Finite-Difference Method for Solving Discrete-Ordinates Slab Transport Equations	1983	Beny Neta H. D. Victory
+	Finite-Difference Approximations and Superconvergence for the Discrete-Ordinate Equations in Slab Geometry	1982	Edward W. Larsen Paul Nelson
+	The convergence analysis for sixth-order methods for solving discrete-ordinates slab transport equations	1982	Beny Neta H. D. Victory
+	On the Spatial Differencing of the Discrete Ordinate Neutron Transport Equation	1978	Juhani Pitkäranta
+	Spatial differencing of the transport equation: Positivity vs. accuracy	1969	K.D. Lathrop
+	Improved Interpolation Schemes in Anisotropic Source Flux Iteration Techniques	1980	Deepak Gopinath A. Natarajan V. Sundararaman
+	Comparison of the Order of Approximation in Several Spatial Difference Schemes for the Discrete-Ordinates Transport Equation in One-Dimensional Plane Geometry	1980	Suresh M. Lee Ramachandran Vaidyanathan
+	Orthogonal Polynomials	1939	Gábor Szegő