15 citations · 21 across the 7 of their papers we have counts for
7 papers
Optimal long-time decay rate of solutions of complete monotonicity-preserving schemes for nonlinear time-fractional evolutionary equations
Dongling Wang, Martin Stynes
The solution of the nonlinear initial-value problem for with , where is a Caputo derivative of order …
Mittag--Leffler stability of numerical solutions to time fractional ODEs
Dongling Wang, Jun Zou
The asymptotic stable region and long-time decay rate of solutions to linear homogeneous Caputo time fractional ordinary differential equations (F-ODEs) are known to be completely…
Numerical stability of Grünwald-Letnikov method for time fractional delay differential equations
Lei Li, Dongling Wang
This paper is concerned with the numerical stability of time fractional delay differential equations (F-DDEs) based on Grünwald-Letnikov (GL) approximation (also called fraction ba…
Energy and quadratic invariants preserving methods for Hamiltonian systems with holonomic constraints
Lei Li, Dongling Wang
We introduce a new class of parametricization structure-preserving partitioned Runge-Kutta (-PRK) methods for Hamiltonian systems with holonomic constraints. When the scalar par…
Complete monotonicity-preserving numerical methods for time fractional ODEs
Lei Li, Dongling Wang
The time fractional ODEs are equivalent to convolutional Volterra integral equations with completely monotone kernels. We therefore introduce the concept of complete monotonicity-p…
Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation
Daijun Jiang, Yikan Liu, Dongling Wang
In this article, we are concerned with the analysis on the numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation. This ill-po…
Long-time behavior of numerical solutions to nonlinear fractional ODEs
Dongling Wang, Aiguo Xiao, Jun Zou
In this work, we study the long time behaviors, including asymptotic contractivity and dissipativity, of the solutions to several numerical methods for fractional ordinary differen…