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math.NA2023
-version -continuous Petrov-Galerkin method for nonlinear second-order initial value problems with application to wave equations
Lina Wang, Mingzhu Zhang, Hongjiong Tian +1
We introduce and analyze an -version -continuous Petrov-Galerkin (CPG) method for nonlinear initial value problems of second-order ordinary differential equations. We deri…
math.NA2022
The semi-implicit Euler-Maruyama method for nonlinear non-autonomous stochastic differential equations driven by a class of Lévy processes
Xiaotong Li, Wei Liu, Hongjiong Tian
The strong convergence of the semi-implicit Euler-Maruyama (EM) method for stochastic differential equations with non-linear coefficients driven by a class of Lévy processes is inv…