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Publications of Jie Shen 2026-08-19
Thermodynamically consistent modeling and energy-stable LDG schemes for semi-permeable interface flows 2026-08-20
Novel linear, decoupled, and energy dissipative schemes for the Navier--Stokes--Darcy model and extension to related two-phase flows 2026-08-20
Numerical analysis of a semi-implicit Euler scheme for the Keller-Segel model 2026-08-20
Deep collocation method: A framework for solving PDEs using neural networks with error control 2026-08-20
The original energy dissipation law of the R-SAV approach for gradient flows 2026-08-20
On a class of higher-order length preserving and energy decreasing IMEX schemes for the Landau-Lifshitz equation 2026-08-20
An efficient spectral method for elliptic interface problems in complex domains 2026-08-20
Stability and convergence of a variable step generalized BDF2 scheme 2026-08-20
An efficient spectral method for fourth-order PDEs in complex geometries 2026-08-20
Structure-preserving SAV-RK$s$ spectral methods for a class of nonlinear Hamiltonian system 2026-08-20
Stability and error analysis of a new class of higher-order consistent splitting schemes for the Navier-Stokes equations 2026-08-20
Unconditionally stable consistent splitting schemes for the Navier-Stokes equations with $C^0$ finite elements 2026-08-20
Adaptive time-stepping and maximum-principle preserving Lagrangian schemes for gradient flows 2026-08-20

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