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math.NA2021
Perfectly Matched Layers for nonlocal Helmholtz equations II: multi-dimensional cases
Yu Du, Jiwei Zhang
Perfectly matched layers (PMLs) are formulated and applied to numerically solve nonlocal Helmholtz equations in one and two dimensions. In one dimension, we present the PML modific…
math.NA2021★ 4 cited
Sharp pointwise-in-time error estimate of L1 scheme for nonlinear subdiffusion equations
Dongfang Li, Hongyu Qin, Jiwei Zhang
An essential feature of the subdiffusion equations with the -order time fractional derivative is the weak singularity at the initial time. The weak regularity of the solution is…