Researchers from Brown University, led by Professor George Karniadakis, have joined forces with other leading institutions to develop powerful mathematical tools which simplify and reduce the myriad of ambiguities and variables involved in the design of highly complex military vessels. (Read more.)
Best PhD Award in in Biomedical Engineering
Paris Perdikaris received the Best PhD Award in Biomedical Engineering. Paris Perdikaris received this award on April 12th at the 5th International Conference on Computational and Mathematical Biomedical Engineering (sponsored by the International Journal for Numerical Methods in Biomedical Engineering). It is awarded every two years to a doctoral thesis that exhibits substantial merit to the field of Biomedical Engineering.
using Particle-Based Models: Theory, Implementation and Applications. Yu-Hang Tang, George Em Karniadakis. Abstract: The successful application of computer simulation techniques for solving problems in physical sciences requires interdisciplinary effort spanning theory, software implementation, and application. In this poster, algorithms and strategies are presented for the optimization of two GPU-accelerated Dissipative Particle Dynamics (DPD) packages that can utilize and push for the limit of thousands of current generation massively parallel processors. It is also presented how to apply petascale DPD simulations to model the separation of rare circulating cancer cells from millions of normal blood cells, as well as the nonequilibrium dynamics of selfassembled structures called vesicles and micelles whose affinity to water changes nonlinearly with respect to system temperature. The presented work demonstrates that a close interplay between computation and science is critical to facilitate the development and adoption of high performance computing for solving practical scientific problems.
The 2016 International Conference on Fractional Differentiation and its Applications, awarded a recent paper entitled, "Fast solver for fractional differential equations based on Hierarchical Matrices," with the distinction of "best paper." The article was authored by Xuan Zhao, Xiaozhe Hu, Wei Cai and George Em Karniadakis. Abstract: A robust and fast solver for the fractional differential equation (FDEs) involving the Riesz fractional derivative is developed using an adaptive finite element method on nonuniform meshes. It is based on the utilization of hierarchical matrices (H-Matrices) for the representation of the stiffness matrix resulting from the finite element discretizationof the FDEs. We employ a geometric multigrid method for the solution of the algebraic system of equations. We combine it with an adaptive algorithm based on a posteriori error estimation to deal with general-type singularities arising in the solution of the FDEs. Through various test examples we demonstrate the efficiency of the method and the high accuracy of the numerical solution even in the presence of singularities. To the best of our knowledge, there are currently no other methods for FDEs that resolve singularities accurately at linear complexity as the one we propose here. (Read full article.)
Study provides greater understanding of spleen function and could lead to new treatments for diseases. Read full story.
A breakthrough for researchers from Brown University, ETH Zurich and the Swiss National Supercomputing Centre (CSCS)
Led by Professor George Karniadakis, researchers from Brown University, ETH Zurich, and the Swiss National Supercomputing Centre (CSCS), join forces to fight against tumor formation and sickle cell anemia, using a mathematical understanding of biological systems to conquer hematologically based diseases.Read full story.
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