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math.NA2025
Quantum simulation of Helmholtz equations via Schr{ö}dingerization
Anjiao Gu, Shi Jin, Chuwen Ma
The Helmholtz equation is a prototypical model for time-harmonic wave propagation. Numerical solutions become increasingly challenging as the wave number grows, due to the equa…
math.NA2025
Quantum preconditioning method for finite difference discretizations of the Poisson equation via Schrödingerization
Shi Jin, Nana Liu, Chuwen Ma +1
We present a quantum preconditioning framework for solving linear systems arising from a finite difference discretization of the Poisson equation. It is based on the combination of…
math.NA2025
On the Schrödingerization method for linear non-unitary dynamics with optimal dependence on matrix queries
Shi Jin, Nana Liu, Chuwen Ma +2
The Schrödingerization method converts linear partial and ordinary differential equations with non-unitary dynamics into systems of Schrödinger-type equations with unitary evolutio…