3 papers
math.NA2026
An adaptive integrating factor midpoint method for second order evolution equations
Xianfa Hu, Fazhan Geng, Wansheng Wang
In this paper, we consider the integrating factor midpoint method for wave-type equations and derive optimal order a posteriori error estimates. We first introduce an integrating f…
math.NA2024
Two new families of fourth-order explicit exponential Runge--Kutta methods with four stages for first-order differential systems
Xianfa Hu, Yonglei Fang, Bin Wang
In this paper, two new families of fourth-order explicit exponential Runge--Kutta (ERK) methods with four stages are studied for solving first-order differential systems $y'(t)+My(…
math.NA2024
A posteriori error estimates for the exponential midpoint method for linear and semilinear parabolic equations
Xianfa Hu, Wansheng Wang, Mengli Mao +1
In this paper, the a posteriori error estimates of the exponential midpoint method for time discretization are studied for linear and semilinear parabolic equations. Using the expo…