Variational quantum algorithm for the Poisson equation

HL Liu, YS Wu, LC Wan, SJ Pan, SJ Qin, F Gao… - Physical Review A, 2021 - APS
The Poisson equation has wide applications in many areas of science and engineering.
Although there are some quantum algorithms that can efficiently solve the Poisson equation …

Variational quantum algorithms for Poisson equations based on the decomposition of sparse Hamiltonians

HM Li, ZX Wang, SM Fei - Physical Review A, 2023 - APS
Solving a Poisson equation is generally reduced to solving a linear system with a coefficient
matrix A of entries aij, i, j= 1, 2,..., n, from the discretized Poisson equation. Although the …

[HTML][HTML] Finite-difference methods for solving 1D Poisson problem

N Serge - Discrete and Continuous Models and Applied …, 2022 - cyberleninka.ru
The paper discusses the formulation and analysis of methods for solving the one-
dimensional Poisson equation based on finite-difference approximations-an important and …

DISCRETE AND CONTINUOUS MODELS AND APPLIED COMPUTATIONAL SCIENCE

S NDAYISENGA, LA SEVASTIANOV… - … MODELS AND APPLIED …, 2022 - elibrary.ru
The paper discusses the formulation and analysis of methods for solving the one-
dimensional Poisson equation based on finite-difference approximations-an important and …

SIXTH-ORDER COMPACT FINITE DIFFERENCE METHOD WITH DISCRETE SINE TRANSFORM FOR SOLVING POISSON EQUATION SUBJECT TO DIRICHLET …

A Amanuel Hossiso Gatiso - 2020 - ir.haramaya.edu.et
In this thesis, an efficient algorithm based on sixth-order compact finite difference and fast
discrete sine transform is developed for solving one and two dimensional Poisson equations …

[PDF][PDF] Max-Planck-Institut für Mathematik in den Naturwissenschaften Leipzig

I Velcic - webdoc.sub.gwdg.de
Starting from 3D elasticity equations we derive the model of the homogenized von Kármán
plate by means of Γ-convergence. This generalizes the recent results, where the material …