Results 11 to 20 of about 629 (136)

Real-Time Krylov Theory for Quantum Computing Algorithms [PDF]

Quantum, 2023
Quantum computers provide new avenues to access ground and excited state properties of systems otherwise difficult to simulate on classical hardware.
Yizhi Shen, Katherine Klymko, James Sud, David B. Williams-Young, Wibe A. de Jong, Norm M. Tubman   +5 more
doaj   +1 more source

Parallel primal‐dual interior point method for the solution of dynamic optimal power flow

IET Generation, Transmission & Distribution, 2023
This work presents a novel solution for accelerating the dynamic optimal power flow using a distributed‐memory parallelization approach. Unlike other two‐stage relaxation‐based approaches (such as ADMM), the proposed approach constructs the entire ...
Rylee Sundermann, Shrirang G. Abhyankar, Hong Zhang, Jung‐Han Kimn, Timothy M. Hansen   +4 more
doaj   +1 more source

S-Step BiCGStab Algorithms for Geoscience Dynamic Simulations

Oil & Gas Science and Technology, 2016
In basin and reservoir simulations, the most expensive and time consuming phase is solving systems of linear equations using Krylov subspace methods such as BiCGStab.
Anciaux-Sedrakian Ani, Grigori Laura, Moufawad Sophie, Yousef Soleiman   +3 more
doaj   +1 more source

LeXInt: Package for exponential integrators employing Leja interpolation

SoftwareX, 2023
We present a publicly available software for exponential integrators that computes the φl(z)functions using polynomial interpolation. The interpolation method at Leja points have recently been shown to be competitive with the traditionally-used Krylov ...
Pranab J. Deka, Lukas Einkemmer, Mayya Tokman   +2 more
doaj   +1 more source

Krylov Subspace Solvers and Preconditioners

ESAIM: Proceedings and Surveys, 2018
In these lecture notes an introduction to Krylov subspace solvers and preconditioners is presented. After a discretization of partial differential equations large, sparse systems of linear equations have to be solved.
Vuik C.
doaj   +1 more source

Heat Conduction with Krylov Subspace Method Using FEniCSx

Energies, 2022
The study of heat transfer deals with the determination of the rate of heat energy transfer from one system to another driven by a temperature gradient.
Varun Kumar, K. Chandan, K. V. Nagaraja, M. V. Reddy   +3 more
doaj   +1 more source

Newton-Krylov Type Algorithm for Solving Nonlinear Least Squares Problems

International Journal of Mathematics and Mathematical Sciences, 2009
The minimization of a quadratic function within an ellipsoidal trust region is an important subproblem for many nonlinear programming algorithms. When the number of variables is large, one of the most widely used strategies is to project the original ...
Mohammedi R. Abdel-Aziz, Mahmoud M. El-Alem   +1 more
doaj   +1 more source

Partitioned Quantum Subspace Expansion [PDF]

Quantum
We present an iterative generalisation of the quantum subspace expansion algorithm used with a Krylov basis. The iterative construction connects a sequence of subspaces via their lowest energy states.
Tom O'Leary, Lewis W. Anderson, Dieter Jaksch, Martin Kiffner   +3 more
doaj   +1 more source

Analysis of Algorithm Efficiency for Heat Diffusion at Nanoscale Based on a MEMS Structure Investigation

Energies, 2020
This paper presents an analysis of the time complexity of algorithms prepared for solving heat transfer problems at nanoscale. The first algorithm uses the classic Dual-Phase-Lag model, whereas the second algorithm employs a reduced version of the model ...
Tomasz Raszkowski, Mariusz Zubert
doaj   +1 more source

Solving Coupled Cluster Equations by the Newton Krylov Method

Frontiers in Chemistry, 2020
We describe using the Newton Krylov method to solve the coupled cluster equation. The method uses a Krylov iterative method to compute the Newton correction to the approximate coupled cluster amplitude.
Chao Yang, Jiri Brabec, Libor Veis, David B. Williams-Young, Karol Kowalski   +4 more
doaj   +1 more source