1 citations · 1 across the 4 of their papers we have counts for
4 papers
Explicit Runge approximation for Helmholtz equation with cylindrical harmonics
Yu Chen, Jin Cheng, Tingyue Li
Originating from the complex approximation of holomorphic functions, the Runge approximation for elliptic equations has evolved into a fundamental tool for inverse problems and eve…
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…
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…
Numerical Method for Parameter Inference of Nonlinear ODEs with Partial Observations
Yu Chen, Jin Cheng, Arvind Gupta +2
Parameter inference of dynamical systems is a challenging task faced by many researchers and practitioners across various fields. In many applications, it is common that only limit…