Department of Applied Mathematics and Statistics and

Institute for Advanced Computational Science

Stony Brook University

Stony Brook, NY 11794-3600

Office: Room 1-117 Math Tower; Room L-157 IACS

Tel: (631) 632-4408 (AMS); (631) 632-2339 (IACS)

Email:

Dr. Jiao received his B.S. in 1995 from Peking University, China, his M.S. in 1997 from University of California Santa Barbara, and his Ph.D. in computer science in 2001 from University of Illinois at Urbana-Champaign (UIUC). After working in interdisciplinary research for a few years as a Research Scientist at the Center for Simulation of Advanced Rockets (CSAR) at UIUC and then an Assistant Professor in College of Computing at Georgia Institute of Technology, he joined the faculty of Stony Brook University in Fall 2007. He is now an Associate Professor in the Department of Applied Mathematics and Statistics and is affiliated with the Computer Science Department and the Institute for Advanced Computational Science.

Dr. Jiao's research interests are in high-performance geometric and numerical computing in science and engineering. His work focuses on developing efficient and robust algorithms and high-performance software implementations for applied computational and differential geometry, generalized finite difference and finite element methods, multigrid and iterative methods for sparse linear systems, and multiphysics coupling, with applications in computational fluid dynamics and structural mechanics, biomedical engineering, climate modeling, etc.

Current Teaching AMS 526: Numerical Linear Algebra Fall 2024 AMS 562: Introduction to Scientific Programming in C++ Fall 2024 Past Teachings AMS 325:Computer & Programming Fundamentals in AMS Fall 2021--23 AMS 691.1: Finite Element Methods: Theory and Computations Fall 2020 AMS 501: Differential Equations and BVPs I (Ordinary Differential Equations) Fall 10-11 AMS 526: Numerical Analysis I (Numerical Linear Algebra) Fall 07-12,14-16,18-23 AMS 527: Numerical Analysis II Spring 09-16,19,21--24 AMS 529/691: Finite Element Methods Fall 2017-22 AMS 595: Fundamentals of Computing Fall 16-19 AMS 561: Introduction to Computational Science Spring 17-19,21-22 AMS 562: Scientific Programming in C++ Fall 23 AMS 261: Applied Calculus III (Multivariable Calculus) Spring 09-13 & Fall 09,12

AMS 691.3: Topics in Computational Mathematics Spring 08 CS 8803-MS: Introduction to Modeling and Simulation (GaTech) Spring 07 CS 3240: Languages and Computation (GaTech) Summer & Fall 06 CS 3510: Design and Analysis of Algorithms (GaTech) Spring 06

- Frey Family Foundation Professorship, Department of Applied
Mathematics and Statistics, Stony Brook University,
01/2021�12/2022

- Excellence in Teaching, Department of Applied Mathematics and Statistics, Stony Brook University, Fall 2016-2017,2019-2020 Spring 2018-2019
- Outstanding Teacher Award, Department of Applied Mathematics and Statistics, Stony Brook University, Fall 2010-2012, Spring 2013-2014.
- David J. Kuck Outstanding Ph.D. Thesis Award, Computer Science, UIUC, 2001.

This is a partial list of some recent publications. Click here for a more complete list of publications.

- X. Jiao, X. Wang, and Q. Chen, Optimal and Low-Memory Near-Optimal Preconditioning of Fully Implicit Runge-Kutta Schemes for Parabolic PDEs. Submitted 2020. Preprint on Arxiv.

- X. Jiao and Q. Chen, Approximate Generalized Inverses with Iterative Refinement for ε-Accurate Preconditioning of Singular Systems. Submitted 2020. Preprint on Arxiv.
- Q. Chen, A. Ghai, X. Jiao, HILUCSI: Simple, Robust, and Fast Multilevel ILU for Large-Scale Saddle-Point Problems from PDEs. Submitted 2020. Preprint on Arxiv.
- R. Conley, T. J. Delaney, and X. Jiao,
A
hybrid method and unified analysis of generalized finite
differences and Lagrange finite elements.
*Journal of Computational and Applied Mathematics*, 2020. DOI: 10.1016/j.cam.2020. - Y. Li, Q. Chen, X. Wang, and X. Jiao, WLS-ENO
Remap: Superconvergent and non-oscillatory weighted least
squares data transfer on surfaces.
*Journal of Computational Physics*, 2020. DOI: 10.1016/j.jcp.2020. - Y. Li, X. Zhao, N. Ray, X. Jiao, Compact Feature-Aware
Hermite-Style High-Order Surface Reconstruction,
*Engineering with Computers*, 2019. DOI: 10.1007/s00366-019-00815-z - A. Ghai, C. Lu, and X. Jiao, A Comparison of Preconditioned
Krylov Subspace Methods for Large-Scale Nonsymmetric Linear
Systems,
*Numerical Linear Algebra with Applications*, 2018, DOI: 10.1002/nla.2215. - H. Liu and X. Jiao, WLS-ENO:
Weighted-Least-Squares Based Essentially Non-Oscillatory
Schemes for Finite Volume Methods on Unstructured Meshes,
*Journal of Computational Physics,*Vol. 314, pp. 749-773, 2016. DOI: 10.1016/j.jcp.2016.03.039. - R. Conley, T.J. Delaney, and X. Jiao, Overcoming Element
Quality Dependence of Finite Elements with Adaptive Extended
Stencil FEM (AES-FEM),
*International Journal for Numerical Methods in Engineering*, 2016. DOI:10.1002/nme.5246. - X. Wang, R. Samulyak, X Jiao, K. Yu, AP-Cloud: Adaptive
Particle-in-Cloud method for optimal solutions to
Vlasov-Poisson equation,
*Journal of Computational Physics,*Vol. 316, 2016. DOI: 10.1016/j.jcp.2016.04.037. - V. Dyedov, N. Ray, D. Einstein, X. Jiao, and T.J. Tautges, AHF:
Array-Based Half-Facet Data Structure for Mixed-Dimensional
and Non-manifold Meshes,
*Engineering with Computers,*Vol. 31(3), pp. 389-404, 2015. DOI: 10.1007/s00366-014-0378-6. - C. Lu, X. Jiao, and N. Missirlis, A hybrid geometric+algebraic multigrid method with semi-iterative smoothers, Numerical Linear Algebra with Applications, Vol. 21(2), pp. 221--238, 2014. DOI: 10.1002/nla.1925.
- N. Ray, D. Wang, X. Jiao, and J. Glimm, High-Order Numerical
Integration over Discrete Surfaces,
*SIAM Journal on Numerical Analysis*, Vol. 50(6), pp. 3061-3083, 2012. DOI:10.1137/110857404. - D. Wang, X. Jiao, R. Conley, J. Glimm, On the Curvature Effect of Thin Membranes, Journal of Computational Physics, Vol. 233(15), pp. 449-463, 2012. DOI: 10.1016/j.jcp.2012.09.001.
- B. Clark, N. Ray, and X. Jiao, Surface Mesh Optimization, Adaption, and Untangling with High-Order Accuracy, In Proceedings of 18th International Meshing Roundtable, San Jose, CA, October 2012. DOI: 10.1007/978-3-642-33573-0_23.
- X. Jiao and D. Wang, Reconstructing
High-Order Surfaces for Meshing,
*Engineering with Computers,*2011. DOI: 10.1007/s00366-011-0244-8. - D. Wang, B. L. Clark and X. Jiao. An Analysis and Comparison of Parameterization-Based Computation of Differential Quantities for Discrete Surfaces, Computer Aided Geometric Design, Vol 26,(5) pp. 510-527, 2009. DOI:10.1016/j.cagd.2009.02.006.
- V. Dyedov, D. R. Einstein, X. Jiao, A. P. Kuprat, J. P. Carson and F. del Pin, Variational Generation of Prismatic Boundary-Layer Meshes for Biomedical Computing, International Journal for Numerical Methods in Engineering. Vol 79(8), pp. 907--945, 2009. DOI: 10.1002/nme.2583.
- X. Jiao and H. Zha, Consistent
computation of first- and second-order differential quantities
for surface meshes,
*ACM Solid and Physical Modeling Symposium*, June 2008. - X. Jiao and N.R. Bayyana, Identification
of
*C*1 and*C*2 Discontinuities for Surface Meshes in CAD,*Computer-Aided Design*, Vol 40, pages 160-175, 2008. - X. Jiao, N.R. Bayyana, and H. Zha, Optimizing Surface Triangulation via
Near Isometry with Reference Meshes, in
*Proceedings of International Conference on Computational Science*, Beijing, May 2007. - X. Jiao, Face offsetting: a unified framework for explicit moving interfaces. Journal of Computational Physics, Vol 220(2), pages 612-625, 2007.
- X. Jiao, A. Colombi, X. Ni, and J. Hart, Anisotropic mesh adaptation for
evolving triangulated surfaces. in
*Proceedings of 15th International Meshing Roundtable*, Birmingham AL, September 2006. - R. K. Jaiman, X. Jiao, P. H. Geubelle, and E. Loth. Conservative load
transfer along curved fluid-solid interface with non-matching
meshes.
*Journal of Computational Physics*. Vol 218(1), pages 372-397, 2006. - X. Jiao, G. Zheng, P.A. Alexander, M.T. Campbell, O.S. Lawlor, J. Norris, A. Haselbacher, M.T. Heath, A system integration framework for coupled multiphysics simulations, Engineering with Computers, Vol. 22(3-4), pp. 293-309. December 2006.
- R. K. Jaiman, X. Jiao, P. H. Geubelle, and E. Loth. Assessment of conservative load
transfer for fluid-solid interface with non-matching meshes.
*International Journal for Numerical Methods in Engineering*. Vol 64(15), pages 2014-2038, 2005. - X. Jiao and M. T. Heath. Common-refinement-based
data transfer between nonmatching meshes in multiphysics
simulations.
*International Journal for Numerical Methods in Engineering*. Vol 61(14), pages 2402-2427. December 2004. - X. Jiao and M. T. Heath. Overlaying
surface meshes, part i: algorithms.
*International Journal on Computational Geometry and Applications*. Vol 14(6), pages 379-402. December 2004. - X. Jiao and M. T. Heath. Overlaying
surface meshes, part ii: topology preservation and feature
matching.
*International Journal on Computational Geometry and Applications*. Vol 14(6), pages 403-419. December 2004.

Last updated: 08/19/2022.