Results 51 to 60 of about 434,100 (202)

A generalized preconditioned MHSS method for a class of complex symmetric linear systems

Mathematical Modelling and Analysis, 2013
Based on the MHSS (Modified Hermitian and skew-Hermitian splitting) and preconditioned MHSS methods, we will present a generalized preconditioned MHSS method for solving a class of complex symmetric linear systems.
Mehdi Dehghan, Marzieh Dehghani-Madiseh, Masoud Hajarian   +2 more
doaj   +1 more source

Order reduction approaches for the algebraic Riccati equation and the LQR problem

, 2017
We explore order reduction techniques for solving the algebraic Riccati equation (ARE), and investigating the numerical solution of the linear-quadratic regulator problem (LQR).
A Alla, B Kramer, D Kleinman, H Barkouki, IM Jaimoukha, IM Jaimoukha, J Atwell, J Borggaard, K Jbilou, K Kunisch, K Kunisch, M Falcone, M Heyouni, MH Gutknecht, P Benner, P Benner, P Benner, P Benner, P Benner, P Braun, P Lancaster, S Volkwein, V Druskin, V Simoncini, V Simoncini, V Simoncini, Y Lin, Y Lin   +27 more
core   +1 more source

A Preconditioned Iterative Approach for Efficient Full Chip Thermal Analysis on Massively Parallel Platforms

Technologies, 2018
Efficient full-chip thermal simulation is among the most challenging problems facing the EDA industry today, especially for modern 3D integrated circuits, due to the huge linear systems resulting from thermal modeling approaches that require unreasonably
George Floros, Konstantis Daloukas, Nestor Evmorfopoulos, George Stamoulis   +3 more
doaj   +1 more source

Hydration of a B-DNA Fragment in the Method of Atom-atom Correlation Functions with the Reference Interaction Site Model Approximation

, 1998
We propose an efficient numerical algorithm for solving integral equations of the theory of liquids in the Reference Interaction Site Model (RISM) approximation for infinitely dilute solution of macromolecules with a large number of atoms.
A. V. Gorelov, D. A. Tikhonov, E. G. Timoshenko, K. A. Dawson, Monson P. A., R. V. Polozov, Talitskih S. K., Teplukhin A. V., Tikhonov D. A., Yu. A. Kuznetsov, Zhurkin V. B.   +10 more
core   +1 more source

Low-Complexity Numerical Approach for the Diffusion Equation with Variable Diffusion Coefficient

Mathematics
The diffusion equation models a wide variety of physical and chemical processes and has significant interest in many scientific disciplines. Analytical and numerical methods found in the literature for solving the diffusion equation consider a constant ...
Marta Zárraga-Rodríguez, Patricio Fuentes, Xabier Insausti   +2 more
doaj   +1 more source

A randomized Kaczmarz algorithm with exponential convergence

, 2007
The Kaczmarz method for solving linear systems of equations is an iterative algorithm that has found many applications ranging from computer tomography to digital signal processing.
Strohmer, Thomas, Vershynin, Roman
core   +2 more sources

Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods

, 2019
We define and analyze (local) multilevel diagonal preconditioners for isogeometric boundary elements on locally refined meshes in two dimensions. Hypersingular and weakly-singular integral equations are considered.
Führer, Thomas, Gantner, Gregor, Praetorius, Dirk, Schimanko, Stefan   +3 more
core   +1 more source

On Improving Computational Efficiency of Simplified Fluid Flow Models

Chemical Engineering Transactions, 2018
Single-core computational efficiency of several iterative methods for numerical solution of nonsymmetric linear systems originating from simplified fluid flow models is evaluated together with different preconditioning techniques in terms of solution ...
Vojtech Turek
doaj   +1 more source

An Efficient Sixth-Order Newton-Type Method for Solving Nonlinear Systems

Algorithms, 2017
In this paper, we present a new sixth-order iterative method for solving nonlinear systems and prove a local convergence result. The new method requires solving five linear systems per iteration.
Xiaofeng Wang, Yang Li
doaj   +1 more source

Using constraint preconditioners with regularized saddle-point problems [PDF]

, 2005
The problem of finding good preconditioners for the numerical solution of a certain important class of indefinite linear systems is considered. These systems are of a 2 by 2 block (KKT) structure in which the (2,2) block (denoted by -C) is assumed to be ...
Dollar, H. Sue, Gould, Nicholas I. M., Schilders, W. H. A., Wathen, A. J.   +3 more
core   +2 more sources