Quantum homotopy perturbation method for nonlinear dissipative ordinary differential equations

Linear embedding of nonlinear dynamical systems and prospects for efficient quantum algorithms

(2021) Alexander Engel et al.   PHYSICS OF PLASMAS

Efficient quantum algorithm for dissipative nonlinear differential equations

(2021) Jin-Peng Liu et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Fractional approach for a mathematical model of atmospheric dynamics of CO2 gas with an efficient method

(2021) Esin Ilhan et al.   CHAOS SOLITONS & FRACTALS

Quantum Spectral Methods for Differential Equations

(2020) Andrew M. Childs et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Quantum Algorithms for Systems of Linear Equations Inspired by Adiabatic Quantum Computing

(2019) Yiğit Subaşı et al.   PHYSICAL REVIEW LETTERS

Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision

(2017) Andrew M. Childs et al.   SIAM JOURNAL ON COMPUTING

High-order quantum algorithm for solving linear differential equations

(2014) Dominic W Berry   Journal of Physics A-Mathematical and Theoretical

Quantum algorithm and circuit design solving the Poisson equation

(2013) Yudong Cao et al.   NEW JOURNAL OF PHYSICS

Preconditioned Quantum Linear System Algorithm

(2013) B. D. Clader et al.   PHYSICAL REVIEW LETTERS

Some notes on using the homotopy perturbation method for solving time-dependent differential equations

(2009) E. Babolian et al.   MATHEMATICAL AND COMPUTER MODELLING

Quantum Algorithm for Linear Systems of Equations

(2009) Aram W. Harrow et al.   PHYSICAL REVIEW LETTERS