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math.NA2024★ 1 cited
Learning based numerical methods for Helmholtz equation with high frequency
Yu Chen, Jin Cheng, Tingyue Li +1
High-frequency issues have been remarkably challenges in numerical methods for partial differential equations. In this paper, a learning based numerical method (LbNM) is proposed f…
math.NA2023
Harmonic Measures and Numerical Computation of Cauchy Problems for Laplace Equations
Yu Chen, Jin Cheng, Shuai Lu +1
It is well known that Cauchy problem for Laplace equations is an ill-posed problem in Hadamard's sense. Small deviations in Cauchy data may lead to large errors in the solutions. I…