Results 31 to 40 of about 72 (68)

Residual Scaling Techniques in Multigrid, I: Equivalence Proof

open access: yes, 1996
This paper addresses the residual scaling techniques (coarse-grid-correction optimization techniques) in multigrid methods. We survey recent developments in this area and prove the equivalence of the over-weighted residual technique and the over ...
Jun Zhang
core  

Sparse Approximate Inverse and Multi-Level Block ILU Preconditioning Techniques for General Sparse Matrices

open access: yes, 1998
We investigate the use of sparse approximate inverse techniques in a multi-level block ILU preconditioner to design a robust and efficient parallelizable preconditioner for solving general sparse matrices.
Jun Zhang
core  

Preconditioned Krylov Subspace Methods for Solving Nonsymmetric Matrices from CFD Applications

open access: yes, 1998
We conduct experimental study on the behavior of several preconditioned iterative methods to solve nonsymmetric matrices arising from computational fluid dynamics (CFD) applications.
Jun Zhang
core  

Optimal Injection Operator and High Order Schemes for Multigrid Solution of 3D Poisson Equation

open access: yes, 1999
We present a multigrid solution of the three dimensional Poisson equation with a fourth order 19-point compact finite difference scheme. Using a red-black ordering of the grid points and some geometric considerations, we derive an optimal scaled ...

core  

Acceleration and Stabilization Properties of Minimal Residual Smoothing Technique in Multigrid

open access: yes, 1998
We analyze the standard multigrid method accelerated by a minimal residual smoothing (MRS) technique. We show that MRS can accelerate the convergence of the slow residual components, thus accelerates the overall multigrid convergence.
Jun Zhang
core  

BuGS 1.0 User Guide

open access: yes, 2007
This is the user guide for Bruce's General Solver (BuGS). BuGS is a toolkit for solving single space dimensional, nonlinear systems of partial differential equations which are at most order one in time and order two in space.
Bruce Ayati
core  

Повишаване на изчислителната скорост на ускорена схема за възрастово структуриран дифузионен модел

open access: yes, 2011
Дойчин Бояджиев, Галена Пеловска - В статията се предлага оптимизиран алгоритъм, който е по-бърз в сравнение с по- рано описаната ускорена (модифицирана STS) диференчна схема за възрастово структуриран популационен модел с дифузия.
Boyadzhiev, Doychin, Pelovska, Galena
core  

On Cyclic Reduction and Finite Difference Schemes

open access: yes, 1999
We investigate a family of finite difference schemes for discretizing the two dimensional Poisson equation on both the standard and the reduced grids. We study the relation between the cyclic reduction method and the discretization schemes on different ...
Jun Zhang   +2 more
core  

An Interior-Only Framework for Hessian Recovery: The KR Defect Method, with Uniqueness, Stability, and Boundary-Constrained Applications

open access: yes
Central finite-difference stencils for the Hessian require evaluations on both sides of each point and are therefore difficult to apply directly near a domain boundary, on scattered points, or when measurements are missing, without additional treatment ...
RamaKrishna Pasupuleti
core   +1 more source

Fully implicit ADI schemes for solving the nonlinear Poisson-Boltzmann equation

open access: yesComputational and Mathematical Biophysics, 2013
Geng Weihua, Zhao Shan
doaj   +1 more source

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