My Google Scholar Page
Refereed Journal Publications
36. N. Jiang and Y. Li, An efficient scalar auxiliary variable partitioned projection ensemble method for simulating surface-groundwater flows, Mathematics and Computers in Simulation, 221 (2024), 39-54. pdf
35. N. Jiang and H. Yang, Highly efficient ensemble algorithms for computing the Stokes-Darcy equations, Computer Methods in Applied Mechanics and Engineering, 418 (2024), 116562. pdf
34. N. Jiang and H. Yang, A Second Order Ensemble Algorithm for Computing the Navier-Stokes Equations, Journal of Mathematical Analysis and Applications, 530 (2024), 127674. pdf
33. N. Jiang and H. Yang, Unconditionally Stable, Second Order, Decoupled Ensemble Schemes for Computing Evolutionary Boussinesq Equations, Applied Numerical Mathematics, 192 (2023), 241-260. pdf
32. N. Jiang and H. Yang, Artificial Compressibility SAV Ensemble Algorithms for the Incompressible Navier-Stokes Equations, Numerical Algorithms, 92 (2023), 2161-2188. pdf
31. J. Carter, D. Han and N. Jiang, Second Order, Unconditionally Stable, Linear Ensemble Algorithms for the Magnetohydrodynamics Equations, Journal of Scientific Computing, 94 (2023), 41. pdf
30. N. Jiang and H. Yang, Fast and Accurate Artificial Compressibility Ensemble Algorithms for Computing Parameterized Stokes-Darcy Flow Ensembles, Journal of Scientific Computing, 94 (2023), 17. pdf
29. R. Cao, N. Jiang and H. Yang, Three Linear, Unconditionally Stable, Second Order Decoupling Methods for the Allen-Cahn-Navier-Stokes Phase Field Model, Journal of Mathematical Analysis and Applications, 519 (2023), 126792. pdf
28. N. Jiang and H. Yang, Numerical Investigation of Two Second-Order, Stabilized SAV Ensemble Methods for the Navier-Stokes Equations, Advances in Computational Mathematics, 48 (2022), 65. pdf
27. N. Jiang, Y. Li and H. Yang, A Second Order Ensemble Method with Different Subdomain Time Steps for Simulating Coupled Surface-Groundwater Flows, Numerical Methods for Partial Differential Equations, 38 (2022), 1880-1907. pdf
26. J. Carter and N. Jiang, Numerical Analysis of A Second Order Ensemble Method for Evolutionary Magnetohydrodynamics Equations at Small Magnetic Reynolds Number, Numerical Methods for Partial Differential Equations, 38 (2022), 1407-1436. pdf
25. N. Jiang, A. Takhirov and J. Waters, Robust SAV-Ensemble Algorithms for Parametrized Flow Problems with Energy Stable Open Boundary Conditions, Computer Methods in Applied Mechanics and Engineering, 392 (2022), 114709. pdf
24. N. Jiang and C. Qiu, Numerical Analysis of A Second Order Ensemble Algorithm for Numerical Approximation of Stochastic Stokes-Darcy Equations, Journal of Computational and Applied Mathematics, 406 (2022), 113934. pdf
23. N. Jiang and H. Yang, SAV Decoupled Ensemble Algorithms for Fast Computation of Stokes-Darcy Flow Ensembles, Computer Methods in Applied Mechanics and Engineering, 387 (2021), 114150. pdf
22. N. Jiang and H. Yang, Stabilized Scalar Auxiliary Variable Ensemble Algorithms for Parameterized Flow Problems, SIAM Journal on Scientific Computing, 43 (2021), A2869-A2896. pdf
21. N. Jiang, Y. Li and H. Yang, An Artificial Compressibility Crank–Nicolson Leap-Frog Method for the Stokes–Darcy Model and Application in Ensemble Simulations, SIAM Journal on Numerical Analysis, 59 (2021), 401-428. pdf
20. N. Jiang, W. Layton, M. McLaughlin, Y. Rong and H. Zhao, On The Foundations of Eddy Viscosity Models of Turbulence, Fluids, 5 (2020), 167. pdf
19. D. Han and N. Jiang, A Second Order, Linear, Unconditionally Stable, Crank-Nicolson-Leapfrog Scheme for Phase Field Models of Two-Phase Incompressible Flows, Applied Mathematics Letters, 108 (2020), 106521. pdf
18. X. He, N. Jiang and C. Qiu, An Artificial Compressibility Ensemble Algorithm for a Stochastic Stokes-Darcy Model with Random Hydraulic Conductivity and Interface Conditions, International Journal for Numerical Methods in Engineering, 121 (2020), 712-739. pdf
17. N. Jiang, A Pressure-Correction Ensemble Scheme for Computing Evolutionary Boussinesq Equations, Journal of Scientific Computing, 80 (2019), 315-350. pdf
16. N. Jiang and C. Qiu, An Efficient Ensemble Algorithm for Numerical Approximation of Stochastic Stokes-Darcy Equations, Computer Methods in Applied Mechanics and Engineering, 343 (2019), 249-275. pdf
15. M. Gunzburger, N. Jiang and Z. Wang, A Second-Order Time-Stepping Scheme for Simulating Ensembles of Parameterized Flow Problems, Computational Methods in Applied Mathematics, 19 (2019), 681-701. pdf
14. M. Gunzburger, N. Jiang and Z. Wang, An Efficient Algorithm for Simulating Ensembles of Parameterized Flow Problems, IMA Journal of Numerical Analysis, 39 (2019), 1180-1205. pdf
13. N. Jiang and M. Schneier, An Efficient, Partitioned Ensemble Algorithm for Simulating Ensembles of Evolutionary MHD Flows at Low Magnetic Reynolds Number, Numerical Methods for Partial Differential Equations, 34 (2018), 2129-2152. pdf
12. M. Gunzburger, N. Jiang and F. Xu, Analysis and Approximation of A Fractional Laplacian-Based Closure Model for Turbulent Flows and Its Connection to Richardson Pair Dispersion, Computers and Mathematics with Applications, 75 (2018), 1973-2001. pdf
11. M. Gunzburger, N. Jiang and M. Schneier, A Higher-Order Ensemble/Proper Orthogonal Decomposition Method for The Nonstationary Navier-Stokes Equations, International Journal of Numerical Analysis and Modeling, 15 (2018), 608-627. pdf
10. M. Gunzburger, N. Jiang and M. Schneier, An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations, SIAM Journal on Numerical Analysis, 55 (2017), 286-304. pdf
9. N. Jiang, A Second-order Ensemble Method Based on A Blended Backward Differentiation Formula Timestepping Scheme for Time-dependent Navier-Stokes Equations, Numerical Methods for Partial Differential Equations, 33 (2017), 34-61. pdf
8. N. Jiang, M. Mohebujjaman, L. Rebholz and C. Trenchea, An Optimally Accurate Discrete Regularization for Second Order Timestepping Methods for Navier-Stokes Equations, Computer Methods in Applied Mechanics and Engineering, 310 (2016), 388-405. pdf
7. N. Jiang and W. Layton, Algorithms and Models for Turbulence Not At Statistical Equilibrium, Computers and Mathematics with Applications, 71 (2016), 2352-2372. pdf
6. N. Jiang, S. Kaya and W. Layton, Analysis of Model Variance for Ensemble Based Turbulence Modeling, Computational Methods in Applied Mathematics, 15 (2015), 173-188. pdf
5. N. Jiang, A Higher Order Ensemble Simulation Algorithm for Fluid Flows, Journal of Scientific Computing, 64 (2015), 264-288. pdf
4. N. Jiang and W. Layton, Numerical Analysis of Two Ensemble Eddy Viscosity Numerical Regularizations of Fluid Motion, Numerical Methods for Partial Differential Equations, 31 (2015), 630-651. pdf
3. N. Jiang and H. Tran, Analysis of A Stabilized CNLF Method with Fast Slow Wave Splittings for Flow Problems, Computational Methods in Applied Mathematics, 15 (2015), 307-330. pdf
2. N. Jiang, M. Kubacki, W. Layton, M. Moraiti and H. Tran, A Crank-Nicolson Leapfrog Stabilization: Unconditional Stability and Two Applications, Journal of Computational and Applied Mathematics, 281 (2015), 263-276. pdf
1. N. Jiang and W. Layton, An Algorithm for Fast Calculation of Flow Ensembles, International Journal for Uncertainty Quantification, 4 (2014), 273-301. pdf