155 citations · 449 across the 12 of their papers we have counts for
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The local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem with characteristic and exponential layers
Yao Cheng, Martin Stynes
A singularly perturbed convection-diffusion problem,posed on the unit square in , is studied; its solution has both exponential and characteristic boundary layers. Th…
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem
Yao Cheng, Shan Jiang, Martin Stynes
A singularly perturbed convection-diffusion problem posed on the unit square in , whose solution has exponential boundary layers, is solved numerically using the loca…
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 …
A posteriori error analysis for variable-coefficient multiterm time-fractional subdiffusion equations
Natalia Kopteva, Martin Stynes
An initial-boundary value problem of subdiffusion type is considered; the temporal component of the differential operator has the form $\sum_{i=1}^{\ell}q_i(t)\, D _t ^{α_i} u(x,t)…