3 papers
math.NA2026
A posteriori error estimates for the two-step explicit exponential Adams method for parabolic equations
Xianfa Hu, Wansheng Wang
In this paper, we derive optimal order a posteriori error estimates for the variable step-size explicit two-step exponential Adams (E-Adams2) method for parabolic problems. We begi…
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
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…