Xiangmin (Jim) Jiao

Associate Professor
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:

Brief Bio

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.

Research

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.

Teaching

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

Awards

• 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.

Select Publications

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 C1 and C2 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.