141 citations · 207 across the 29 of their papers we have counts for
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Quantum homotopy perturbation method for nonlinear dissipative ordinary differential equations
Cheng Xue, Yu-Chun Wu, Guo-Ping Guo
While quantum computing provides an exponential advantage in solving linear differential equations, there are relatively few quantum algorithms for solving nonlinear differential e…
Quantum Algorithm for Solving a Quadratic Nonlinear System of Equations
Cheng Xue, Xiao-Fan Xu, Yu-Chun Wu +1
Solving a quadratic nonlinear system of equations (QNSE) is a fundamental, but important, task in nonlinear science. We propose an efficient quantum algorithm for solving -dimen…
Quantum Newton's method for solving system of nonlinear algebraic equations
Cheng Xue, Yu-Chun Wu, Guo-Ping Guo
While quantum computing provides an exponential advantage in solving system of linear equations, there is little work to solve system of nonlinear equations with quantum computing.…
Quantum Finite Volume Method for Computational Fluid Dynamics with Classical Input and Output
Zhao-Yun Chen, Cheng Xue, Si-Ming Chen +5
Computational fluid dynamics (CFD) is a branch of fluid mechanics that uses numerical methods to solve fluid flows. The finite volume method (FVM) is an important one. In FVM, spac…