Fast finite difference schemes for time-fractional diffusion equations with a weak singularity at initial time J Shen, Z Sun, R Du East Asian J. Appl. Math 8 (4), 834-858, 2018 | 51 | 2018 |
An H2N2 interpolation for Caputo derivative with order in (1, 2) and its application to time-fractional wave equations in more than one space dimension J Shen, C Li, Z Sun Journal of Scientific Computing 83 (2), 38, 2020 | 36 | 2020 |
A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation J Shen, Z Sun, W Cao Applied Mathematics and Computation 361, 752-765, 2019 | 28 | 2019 |
A novel hybrid fractal interpolation-SVM model for forecasting stock price indexes HY Wang, H Li, JY Shen Fractals 27 (04), 1950055, 2019 | 22 | 2019 |
Two finite difference schemes for multi-dimensional fractional wave equations with weakly singular solutions J Shen, M Stynes, ZZ Sun Computational Methods in Applied Mathematics 21 (4), 913-928, 2021 | 11 | 2021 |
Two finite difference methods based on an H2N2 interpolation for two-dimensional time fractional mixed diffusion and diffusion-wave equations J Shen, XM Gu Discrete Contin. Dyn. Syst. Ser. B 27 (2), 1179-1207, 2022 | 9 | 2022 |
Second-order error analysis of the averaged L1 scheme for time-fractional initial-value and subdiffusion problems J Shen, F Zeng, M Stynes Science China Mathematics, 1-24, 2023 | 8 | 2023 |
The conservation and convergence of two finite difference schemes for KdV equations with initial and boundary value conditions J Shen, X Wang, ZZ Sun Numer Math Theor Methods Appl 13, 253-280, 2020 | 7 | 2020 |
An efficient and provable sequential quadratic programming method for American and swing option pricing J Shen, W Huang, J Ma European Journal of Operational Research 316 (1), 19-35, 2024 | 2 | 2024 |
Second‐order difference scheme for the time fractional mixed diffusion‐wave equation with initial weak regularity R Du, J Shen Mathematical Methods in the Applied Sciences, 2023 | 2 | 2023 |
Second-order error analysis of the averaged L1 scheme L1 for a time-fractional subdiffusion problem J Shen, F Zeng, M Stynes Researchgate preprint, submitted for publication, 0 | 2 | |
A grid-overlay finite difference method for the fractional Laplacian on arbitrary bounded domains W Huang, J Shen SIAM Journal on Scientific Computing 46 (2), A744-A769, 2024 | 1 | 2024 |
A second-order energy stable and nonuniform time-stepping scheme for time fractional Burgers' equation J Shen, J Ren, S Chen Computers & Mathematics with Applications 123, 227-240, 2022 | 1 | 2022 |
Two‐level linearized and local uncoupled difference schemes for the two‐component evolutionary Korteweg‐de Vries system JY Shen, ZZ Sun Numerical Methods for Partial Differential Equations 36 (1), 5-28, 2020 | 1 | 2020 |
Meshfree finite difference solution of homogeneous Dirichlet problems of the fractional Laplacian J Shen, B Shi, W Huang Communications on Applied Mathematics and Computation, 1-17, 2024 | | 2024 |
A moving mesh finite element method for Bernoulli free boundary problems J Shen, H Dai, W Huang arXiv preprint arXiv:2404.04418, 2024 | | 2024 |
Space–Time Methods Based on Isogeometric Analysis for Time-fractional Schrödinger Equation A Ge, J Shen, S Vong Journal of Scientific Computing 97 (3), 76, 2023 | | 2023 |
An Implicit Scheme for American Put Options X Chen, Z Lu, J Ma, J Shen Journal of Scientific Computing 97 (2), 42, 2023 | | 2023 |
Space-time continuous and time discontinuous Galerkin schemes based on Isogeometric Analysis for nonlinear time-fractional partial differential equations A Ge, J Shen, L Yi | | 2023 |