Select Publications
Preprints
2024, Time-fractional diffusion equations with randomness, and efficient numerical estimations of expected values, http://dx.doi.org/10.48550/arxiv.2409.00893
,2024, An $\alpha$-robust and second-order accurate scheme for a subdiffusion equation, http://dx.doi.org/10.48550/arxiv.2401.04946
,2023, A mixed FEM for a time-fractional Fokker-Planck model, http://dx.doi.org/10.48550/arxiv.2310.17350
,2022, Error Profile for Discontinuous Galerkin Time Stepping of Parabolic PDEs, http://arxiv.org/abs/2208.03846v2
,2021, A second-order accurate numerical scheme for a time-fractional Fokker-Planck equation, http://dx.doi.org/10.48550/arxiv.2106.14146
,2020, Uniform stability for a spatially-discrete, subdiffusive Fokker-Planck equation, http://dx.doi.org/10.48550/arxiv.2012.13860
,2019, Inverse source in two-parameter anomalous diffusion, numerical algorithms and simulations over graded time-meshes, http://dx.doi.org/10.48550/arxiv.1912.06614
,2019, An L1 approximation for a fractional reaction-diffusion equation, a second-order error analysis over time-graded meshes, http://dx.doi.org/10.48550/arxiv.1909.06739
,2019, A semidiscrete finite element approximation of a time-fractional Fokker-Planck equation with nonsmooth initial data, http://dx.doi.org/10.48550/arxiv.1902.03204
,2019, Regularity theory for time-fractional advection-diffusion-reaction equations, http://dx.doi.org/10.48550/arxiv.1902.00850
,2018, Well-posedness of time-fractional, advection-diffusion-reaction equations, http://dx.doi.org/10.48550/arxiv.1810.04836
,2017, Particle Simulation of Fractional Diffusion Equations, http://dx.doi.org/10.48550/arxiv.1707.03871
,2017, A finite difference method for space fractional differential equations with variable diffusivity coefficient, http://dx.doi.org/10.48550/arxiv.1706.00971
,2016, FEM for time-fractional diffusion equations, novel optimal error analyses, http://dx.doi.org/10.48550/arxiv.1610.05621
,2016, Optimal error analysis of a FEM for fractional diffusion problems by energy arguments, http://dx.doi.org/10.48550/arxiv.1605.09104
,2016, An inverse source problem for a two-parameter anomalous diffusion with local time datum, http://dx.doi.org/10.48550/arxiv.1604.06886
,2015, A discontinuous Galerkin method for time fractional diffusion equations with variable coefficients, http://dx.doi.org/10.48550/arxiv.1511.00163
,2015, Finite volume element method for two-dimensional fractional subdiffusion problems, http://dx.doi.org/10.48550/arxiv.1510.07377
,2015, Numerical solution of the time-fractional Fokker-Planck equation with general forcing, http://dx.doi.org/10.48550/arxiv.1507.05706
,2014, Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems, http://dx.doi.org/10.48550/arxiv.1412.2098
,2014, A hybridizable discontinuous Galerkin method for fractional diffusion problems, http://dx.doi.org/10.48550/arxiv.1409.7383
,2014, Time-stepping discontinuous Galerkin methods for fractional diffusion problems, http://dx.doi.org/10.48550/arxiv.1409.6976
,2014, A discontinuous Petrov-Galerkin method for time-fractional diffusion equations, http://dx.doi.org/10.48550/arxiv.1409.1935
,2014, Time-stepping error bounds for fractional diffusion problems with non-smooth initial data, http://dx.doi.org/10.48550/arxiv.1405.2140
,2013, A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernels, http://dx.doi.org/10.48550/arxiv.1301.6778
,2012, Superconvergence of a discontinuous Galerkin method for fractional diffusion and wave equations, http://dx.doi.org/10.48550/arxiv.1206.2686
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