Results 61 to 70 of about 1,981 (210)

Comparison of different iterative schemes for ISPH based on Rankine source solution

International Journal of Naval Architecture and Ocean Engineering, 2017
Smoothed Particle Hydrodynamics (SPH) method has a good adaptability for the simulation of free surface flow problems. There are two forms of SPH. One is weak compressible SPH and the other one is incompressible SPH (ISPH).
Xing Zheng, Qing-wei Ma, Wen-yang Duan
doaj   +1 more source

An Optimal Preconditioned MINRES Method for Symmetrized Multilevel Block Toeplitz Systems With Applications

Numerical Linear Algebra with Applications, Volume 32, Issue 6, December 2025.
ABSTRACT In this work, we propose a novel preconditioned minimal residual method for a class of real, nonsymmetric multilevel block Toeplitz systems, which generalizes an ideal preconditioner established in [J. Pestana. Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices. SIAM Journal on Matrix Analysis and Applications, 40(3):870–
Grigorios Tachyridis, Sean Y. Hon
wiley   +1 more source

Um Esquema GMRES Precondicionado para Simulação de Reservatórios

Trends in Computational and Applied Mathematics, 2002
Descrevemos um método GMRES precondicionado para a resolução de sistemas lineares que aparecem em Simulação de Reservatórios de Petróleo. Três esquemas de precondicionamento são propostos.
L.M. CARVALHO, F. DICKSTEIN, J.R.P. RODRIGUES, R.W. dos SANTOS   +3 more
doaj   +1 more source

On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations. The present test problems are two-dimensional, parabolic, non-linear, diffusion- reaction equations. An implicit finite difference
Juncu Gh., Popa C., Sarbu Gh.
doaj   +1 more source

Exasim: Generating discontinuous Galerkin codes for numerical solutions of partial differential equations on graphics processors

SoftwareX, 2022
This paper presents an overview of the functionalities and applications of Exasim, an open-source code for generating high-order discontinuous Galerkin codes to numerically solve parametrized partial differential equations (PDEs).
Jordi Vila-Pérez, R. Loek Van Heyningen, Ngoc-Cuong Nguyen, Jaume Peraire   +3 more
doaj   +1 more source

A Flexible Derivation Approach for the Numerical Solution of Partial Differential Equations

Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.
ABSTRACT We propose a new method for the numerical solution of boundary value problems associated to partial differential equations. This method is based on standard approximation techniques, like numerical differentiation of univariate functions and curve interpolation, so it can be easily generalized to high‐dimensional problems.
Nadaniela Egidi, Josephin Giacomini, Pierluigi Maponi   +2 more
wiley   +1 more source

A Randomized Q-OR Krylov Subspace Method for Solving Nonsymmetric Linear Systems

Mathematics
The most popular iterative methods for solving nonsymmetric linear systems are Krylov methods. Recently, an optimal Quasi-ORthogonal (Q-OR) method was introduced, which yields the same residual norms as the Generalized Minimum Residual (GMRES) method ...
Gérard Meurant
doaj   +1 more source

AIR multigrid with GMRES polynomials (AIRG) and additive preconditioners for Boltzmann transport [PDF]

, 2023
Steven Dargaville, R.P. Smedley‐Stevenson, P. N. Smith, Christopher C. Pain   +3 more
openalex   +1 more source

Inf‐Sup Stable Non‐Conforming Finite Elements on Tetrahedra With Second‐ and Third‐Order Accuracy

Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.
ABSTRACT We introduce a family of scalar non‐conforming finite elements with second‐ and third‐order accuracy with respect to the H1$$ {H}^1 $$‐norm on tetrahedra. Their vector‐valued versions generate, together with discontinuous pressure approximations of order one and two, respectively, inf‐sup stable finite element pairs with convergence order two ...
Loïc Balazi, Grégoire Allaire, Pierre Jolivet, Pascal Omnes   +3 more
wiley   +1 more source

The Upper Bound for GMRES on Normal Tridiagonal Toeplitz Linear System

Journal of Mathematical Extension, 2015
The Generalized Minimal Residual method (GMRES) is often used to solve a large and sparse system Ax = b. This paper establishes error bound for residuals of GMRES on solving an N × N normal tridiagonal Toeplitz linear system.
R. Doostaki∗, A. Hadian, S. Azizi
doaj