{"id":19,"date":"2012-09-05T11:22:25","date_gmt":"2012-09-05T15:22:25","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/template\/?page_id=19"},"modified":"2026-03-19T08:57:31","modified_gmt":"2026-03-19T12:57:31","slug":"publications","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/jiangn\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\r\n
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My Google Scholar Page<\/a><\/h2>\n\n\n\n

Refereed Journal Publications<\/span><\/strong><\/span><\/p>\n\n\n\n\n\n

37. N. Jiang, A. Takhirov and J. Waters, Ensemble algorithm for parameterized convection problems with energy stable open boundary conditions<\/span>, accepted in\u00a0Numerical Algorithms<\/strong>, in press, 2024. pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

36. N. Jiang and Y. Li, An efficient scalar auxiliary variable partitioned projection ensemble method for simulating surface-groundwater flows<\/span>, Mathematics and Computers in Simulation<\/strong>, 221 (2024), 39-54. pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

35. N. Jiang and H. Yang, Highly efficient ensemble algorithms for computing the Stokes-Darcy equations<\/span>, Computer Methods in Applied Mechanics and Engineering<\/strong>, 418 (2024), 116562. pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

34. N. Jiang and H. Yang, A Second Order Ensemble Algorithm for Computing the Navier-Stokes Equations<\/span>,\u00a0Journal of Mathematical Analysis and Applications<\/strong>, 530 (2024), 127674. pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

33. N. Jiang and H. Yang, Unconditionally Stable, Second Order, Decoupled Ensemble Schemes for Computing Evolutionary Boussinesq Equations<\/span>, Applied Numerical Mathematics<\/strong>, 192 (2023), 241-260. pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

32. N. Jiang and H. Yang, Artificial Compressibility SAV Ensemble Algorithms for the Incompressible Navier-Stokes Equations<\/span>, Numerical Algorithms<\/strong>, 92 (2023), 2161-2188.\u00a0pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

31. J. Carter, D. Han and N. Jiang, Second Order, Unconditionally Stable, Linear Ensemble Algorithms for the Magnetohydrodynamics Equations<\/span>, Journal of Scientific Computing<\/strong>, 94 (2023), 41. pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

30. N. Jiang and H. Yang, Fast and Accurate Artificial Compressibility Ensemble Algorithms for Computing Parameterized Stokes-Darcy Flow Ensembles<\/span>, Journal of Scientific Computing<\/strong>, 94 (2023), 17. pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

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<\/span>,\u00a0Journal of Mathematical Analysis and Applications<\/strong>, 519 (2023), 126792.\u00a0pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

28. N. Jiang and H. Yang, Numerical Investigation of Two Second-Order, Stabilized SAV Ensemble Methods for the Navier-Stokes Equations<\/span>,\u00a0Advances in Computational Mathematics<\/strong>, 48 (2022), 65.\u00a0pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

27. N. Jiang, Y. Li and H. Yang, A Second Order Ensemble Method with Different Subdomain Time Steps for Simulating Coupled Surface-Groundwater Flows<\/span>,\u00a0Numerical Methods for Partial Differential Equations<\/strong>, 38 (2022), 1880-1907. pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

26. J. Carter and N. Jiang, Numerical Analysis of A Second Order Ensemble Method for Evolutionary Magnetohydrodynamics Equations at Small Magnetic Reynolds Number<\/span>, Numerical Methods for Partial Differential Equations<\/strong>, 38 (2022), 1407-1436. pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

25. N. Jiang, A. Takhirov and J. Waters, Robust SAV-Ensemble Algorithms for Parametrized Flow Problems with Energy Stable Open Boundary Conditions<\/span>, Computer Methods in Applied Mechanics and Engineering<\/strong>, 392 (2022), 114709. pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

24. N. Jiang and C. Qiu, Numerical Analysis of A Second Order Ensemble Algorithm for Numerical Approximation of Stochastic Stokes-Darcy Equations<\/span>, Journal of Computational and Applied Mathematics<\/strong>, 406 (2022), 113934. pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

23. N. Jiang and H. Yang, SAV Decoupled Ensemble Algorithms for Fast Computation of Stokes-Darcy Flow Ensembles<\/span>, Computer Methods in Applied Mechanics and Engineering<\/strong>, 387 (2021), 114150. pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

22. N. Jiang and H. Yang, Stabilized Scalar Auxiliary Variable Ensemble Algorithms for Parameterized Flow Problems<\/span>, SIAM Journal on Scientific Computing<\/strong>, 43 (2021), A2869-A2896. pdf<\/span><\/a><\/span><\/p>\n\n\n\n\n\n

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<\/strong>, 59 (2021), 401-428. pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

20. N. Jiang, W. Layton, M. McLaughlin, Y. Rong and H. Zhao, On The Foundations of Eddy Viscosity Models of Turbulence, Fluids<\/strong>, 5 (2020), 167. pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

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<\/strong>, 108 (2020), 106521. pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

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<\/strong>, 121 (2020), 712-739. pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

17. N. Jiang, A Pressure-Correction Ensemble Scheme for Computing Evolutionary Boussinesq Equations, Journal of Scientific Computing<\/strong>, 80 (2019), 315-350. pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

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<\/strong>, 343 (2019), 249-275. pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

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<\/strong>, 19 (2019), 681-701.\u00a0pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

14. M. Gunzburger, N. Jiang and Z. Wang, An Efficient Algorithm for Simulating Ensembles of Parameterized Flow Problems, IMA Journal of Numerical Analysis<\/strong>, 39 (2019), 1180-1205.\u00a0pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

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<\/strong>, 34 (2018), 2129-2152. pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

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,\u00a0Computers and Mathematics with Applications<\/strong>, 75 (2018), 1973-2001.\u00a0pdf<\/a><\/u><\/span><\/span><\/p>\n\n\n\n\n\n

11. M. Gunzburger, N. Jiang and M. Schneier, A Higher-Order Ensemble\/Proper Orthogonal\u00a0Decomposition Method for The Nonstationary Navier-Stokes Equations, International Journal of Numerical Analysis and Modeling<\/strong>, 15 (2018), 608-627.\u00a0pdf<\/a><\/u><\/span><\/p>\n\n\n\n\n\n

10. M. Gunzburger, N. Jiang and M. Schneier, An Ensemble-Proper Orthogonal\u00a0Decomposition Method for the Nonstationary Navier-Stokes Equations, SIAM Journal on Numerical Analysis<\/strong>, 55 (2017), 286-304. pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

9. N. Jiang, A Second-order Ensemble Method Based on A Blended Backward Differentiation Formula\u00a0Timestepping Scheme for Time-dependent Navier-Stokes Equations, Numerical Methods for Partial Differential Equations<\/strong>, 33 (2017), 34-61.\u00a0pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

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<\/strong>, 310 (2016), 388-405. pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

7. N. Jiang and W. Layton, Algorithms and Models for Turbulence Not At\u00a0Statistical Equilibrium, Computers and Mathematics with Applications<\/strong>, 71 (2016), 2352-2372. pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

6. N. Jiang, S. Kaya and W. Layton, Analysis of Model Variance for Ensemble\u00a0Based Turbulence Modeling,\u00a0Computational\u00a0Methods in Applied Mathematics<\/strong>, 15 (2015), 173-188. pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

5. N. Jiang, A Higher Order Ensemble Simulation Algorithm for Fluid Flows,\u00a0Journal of Scientific Computing<\/strong>, 64 (2015), 264-288. pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

4. N. Jiang and W. Layton, Numerical Analysis of Two Ensemble Eddy Viscosity\u00a0Numerical Regularizations of Fluid Motion, Numerical Methods for Partial\u00a0Differential Equations<\/strong>, 31 (2015), 630-651. pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

3. N. Jiang and H. Tran, Analysis of A Stabilized CNLF Method with Fast Slow\u00a0Wave Splittings for Flow Problems, Computational Methods in Applied\u00a0Mathematics<\/strong>, 15 (2015), 307-330. pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

2. N. Jiang, M. Kubacki, W. Layton, M. Moraiti and H. Tran, A Crank-Nicolson Leapfrog Stabilization: Unconditional Stability and Two Applications, Journal\u00a0of Computational and Applied Mathematics<\/strong>, 281 (2015), 263-276. pdf<\/a><\/span><\/span><\/p>\n\n\n\n\n\n

1. N. Jiang and W. Layton, An Algorithm for Fast Calculation of Flow\u00a0Ensembles, International Journal for Uncertainty Quantification<\/strong>, 4 (2014),\u00a0273-301. pdf<\/a><\/span><\/span><\/p>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1173,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-19","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/jiangn\/wp-json\/wp\/v2\/pages\/19","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/jiangn\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/jiangn\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/jiangn\/wp-json\/wp\/v2\/users\/1173"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/jiangn\/wp-json\/wp\/v2\/comments?post=19"}],"version-history":[{"count":11,"href":"https:\/\/people.clas.ufl.edu\/jiangn\/wp-json\/wp\/v2\/pages\/19\/revisions"}],"predecessor-version":[{"id":549,"href":"https:\/\/people.clas.ufl.edu\/jiangn\/wp-json\/wp\/v2\/pages\/19\/revisions\/549"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/jiangn\/wp-json\/wp\/v2\/media?parent=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}