A splitting iterative method for solving the neutron transport equation

A splitting iterative method for solving the neutron transport equation

This paper presents an iterative method based on a self‐adjoint and m‐accretive splitting for the numerical treatment of the steady state neutron transport equation. Theoretical analysis shows that this method converges unconditionally to the unique solution of the transport equation. The convergenc...

Full description

Bibliographic Details
Main Authors:	Onana Awono, Jacques Tagoudjeu
Format:	Article
Language:	English
Published:	Vilnius Gediminas Technical University 2009-09-01
Series:	Mathematical Modelling and Analysis
Subjects:	Transport equation self adjoint operator m‐accretive operator splitting iterative method
Online Access:	https://journals.vgtu.lt/index.php/MMA/article/view/6548

Similar Items

Adaptive Iterative Splitting Methods for Convection-Diffusion-Reaction Equations
by: Jürgen Geiser, et al.
Published: (2020-02-01)

Application of operator splitting to solve reaction-diffusion equations
by: T. Ladics
Published: (2012-05-01)

Iterative and Noniterative Splitting Methods of the Stochastic Burgers’ Equation: Theory and Application
by: Jürgen Geiser
Published: (2020-07-01)

Serial and Parallel Iterative Splitting Methods: Algorithms and Applications to Fractional Convection-Diffusion Equations
by: Jürgen Geiser, et al.
Published: (2020-11-01)

Iterative methods for solving Ambartsumian’s equations. Part 1
by: I.V. Boykov, et al.
Published: (2021-09-01)

A generalized Halpern-type forward-backward splitting algorithm for solving variational inclusion problems
by: Premyuda Dechboon, et al.
Published: (2023-03-01)

Shift-splitting iteration methods for a class of large sparse linear matrix equations
by: Xu Li, et al.
Published: (2021-02-01)

Generalizations and error analysis of the iterative operator splitting method
by: Ladics Tamás, et al.
Published: (2013-08-01)

Using frames in GMRES-based iteration method for solving operator equations
by: Hassan Jamali, et al.
Published: (2024-08-01)

ISOMETRIC AND ISOMETRIC- m OPERATORS
by: Gunawan Gunawan
Published: (2017-12-01)

Approximating the zeros of accretive operators by the Ishikawa iteration process
by: Zhou Haiyun, et al.
Published: (1996-01-01)

A Robust Hermitian and Skew-Hermitian Based Multiplicative Splitting Iterative Method for the Continuous Sylvester Equation
by: Mohammad Khorsand Zak, et al.
Published: (2025-01-01)

Functional evolution equations with nonconvex lower semicontinuous multivalued perturbations
by: A. G. Ibrahim
Published: (1998-01-01)

An Iterative Approach to the Solutions of Proximal Split Feasibility Problems
by: Li-Jun Zhu, et al.
Published: (2019-02-01)

Solving Linear Equations Using Matrix Splitting for Iterative Discrete-Time Methods in Neural Networks
by: Essa I. Essa
Published: (2007-12-01)

Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces
by: Chanjuan Pan, et al.
Published: (2019-02-01)

On the Mann and Ishikawa iteration processes
by: Jia Yuting, et al.
Published: (1996-01-01)

Analytic Methods for Solving Higher Order Ordinary Differential Equations
by: Maria P. Beccar-Varela, et al.
Published: (2019-09-01)

A method for solving ill-posed Robin-Cauchy problems for second-order elliptic equations in multi-dimensional cylindrical domains
by: Berikbol T. Torebek
Published: (2016-09-01)

Tracking Contaminant Transport Backwards with an Operator-Splitting Method
by: Priyanka Rao, et al.
Published: (2023-06-01)

Iterative splitting methods for differential equations /
by: Geiser, Juergen
Published: (c201)

Iterative Methods for Finding Solutions of a Class of Split Feasibility Problems over Fixed Point Sets in Hilbert Spaces
by: Suthep Suantai, et al.
Published: (2019-10-01)

ON THE ASYMPTOTIC FORM OF THE LANDAU-LIFSHITZ EQUATION ON A THREE-DIMENSIONAL TORUS
by: A. M. Lukatsky
Published: (2018-04-01)

A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator Norm
by: Nishu Gupta, et al.
Published: (2021-02-01)

Updating the Landweber Iteration Method for Solving Inverse Problems
by: Hassan K. Ibrahim Al-Mahdawi, et al.
Published: (2022-08-01)

Iterative Algorithms for Split Common Fixed Point Problem Involved in Pseudo-Contractive Operators without Lipschitz Assumption
by: Jinzuo Chen, et al.
Published: (2019-08-01)

Operator splitting methods for the Lotka–Volterra equations
by: István Faragó, et al.
Published: (2018-06-01)

Iterative algorithm for solving the multiple-sets split equality problem with split self-adaptive step size in Hilbert spaces
by: Dianlu Tian, et al.
Published: (2016-01-01)

Spectral enclosures for the damped elastic wave equation
by: Biagio Cassano, et al.
Published: (2022-11-01)

The Legendre equation and its self-adjoint operators
by: Lance L. Littlejohn, et al.
Published: (2011-05-01)

On an iterative algorithm of Ulm-type for solving equations
by: Ioannis K. Argyros, et al.
Published: (2013-08-01)

On an iterative algorithm of Ulm-type for solving equations
by: Ioannis K. Argyros, et al.
Published: (2013-08-01)

PHSS Iterative Method for Solving Generalized Lyapunov Equations
by: Shi-Yu Li, et al.
Published: (2019-01-01)

Adjoint and self-adjoint differential operators on graphs
by: Robert Carlson
Published: (1998-02-01)

The Sobolev-type equations of the second order with the relatively dissipative operator pencils
by: Alyona A Zamyshlyaeva, et al.
Published: (2012-06-01)

On a nonlocal problem for the first-order differential-operator equations
by: V.V. Horodets'kyi, et al.
Published: (2022-12-01)

A remark on elliptic differential equations on manifold
by: A. Ashyralyev, et al.
Published: (2020-09-01)

Solving Generalized Equations with Bounded Variables and Multiple Residuated Operators
by: M. Eugenia Cornejo, et al.
Published: (2020-11-01)

Modified Picard-like Method for Solving Absolute Value Equations
by: Yuan Liang, et al.
Published: (2023-02-01)

Solute Transport Control at Channel Junctions Using Adjoint Sensitivity
by: Geovanny Gordillo, et al.
Published: (2021-12-01)