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Extended Physics-informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition based Deep Learning Framework for Nonlinear Partial Differential Equations.

, and . AAAI Spring Symposium: MLPS, volume 2964 of CEUR Workshop Proceedings, CEUR-WS.org, (2021)

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Blood Flow at Arterial Branches: Complexities to Resolve for the Angioplasty Suite., , , and . International Conference on Computational Science (3), volume 3993 of Lecture Notes in Computer Science, page 538-545. Springer, (2006)A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations., , , and . SIAM J. Sci. Comput., 40 (5): A2986-A3011 (2018)Inflow/Outflow Boundary Conditions for Particle-Based Blood Flow Simulations: Application to Arterial Bifurcations and Trees., , , , and . PLoS Comput. Biol., (2015)Electronic poster: visualizing multiscale simulation data., , , and . SC Companion, page 101-102. ACM, (2011)Discontinuous Spectral Element Methods for Time- and Space-Fractional Advection Equations., and . SIAM J. Sci. Comput., (2014)Parallel Cfd Benchmarks on Cray Computers., and . Parallel Algorithms Appl., 9 (3-4): 273-298 (1996)Inferring solutions of differential equations using noisy multi-fidelity data., , and . CoRR, (2016)Simulation and Visualization of Air Flow Around Bat Wings During Flight., , , , , and . International Conference on Computational Science (2), volume 3515 of Lecture Notes in Computer Science, page 689-694. Springer, (2005)Runtime Visualization of the Human Arterial Tree., , , , and . IEEE Trans. Vis. Comput. Graph., 13 (4): 810-821 (2007)Tightly Coupled Atomistic-Continuum Simulations of Brain Blood Flow on Petaflop Supercomputers., , , , , and . Comput. Sci. Eng., 14 (6): 58-67 (2012)