6 papers
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…
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…
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…
Cost-reduction implicit exponential Runge-Kutta methods for highly oscillatory systems
Xianfa Hu, Wansheng Wang, Bin Wang +1
In this paper, two novel classes of implicit exponential Runge-Kutta (ERK) methods are studied for solving highly oscillatory systems. First of all, we analyze the symplectic condi…
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(…
Two new classes of exponential Runge-Kutta integrators for efficiently solving stiff systems or highly oscillatory problems
Bin Wang, Xianfa Hu, Xinyuan Wu
We note a fact that stiff systems or differential equations that have highly oscillatory solutions cannot be solved efficiently using conventional methods. In this paper, we study…