Publications
Parallel level-set methods on adaptive tree-based grids. JOURNAL OF COMPUTATIONAL PHYSICS. 322:345-364.
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2016. A second-order discretization of the nonlinear Poisson-Boltzmann equation over irregular geometries using non-graded adaptive Cartesian grids. JOURNAL OF COMPUTATIONAL PHYSICS. 230:2125-2140.
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2011. Minimum Energy Spike Randomization for Neurons. Proceedings of the American Control Conference. :4751-4756.
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2012. Minimum energy desynchronizing control for coupled neurons. JOURNAL OF COMPUTATIONAL NEUROSCIENCE. 34:259-271.
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2013. LEMNISCATES DO NOT SURVIVE LAPLACIAN GROWTH. MATHEMATICAL RESEARCH LETTERS. 17:335-341.
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2010. A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids. JOURNAL OF COMPUTATIONAL PHYSICS. 219:912-929.
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2006. A second order accurate level set method on non-graded adaptive Cartesian grids. JOURNAL OF COMPUTATIONAL PHYSICS. 225:300-321.
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2007. Geometric integration over irregular domains with application to level-set methods. JOURNAL OF COMPUTATIONAL PHYSICS. 226:1432-1443.
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2007. Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions. JOURNAL OF COMPUTATIONAL PHYSICS. 231:3246-3263.
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2012. Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions. JOURNAL OF COMPUTATIONAL PHYSICS. 227:9686-9695.
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2008. A parallel fast sweeping method for the Eikonal equation. JOURNAL OF COMPUTATIONAL PHYSICS. 237:46-55.
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2013. On the performance of a simple parallel implementation of the ILU-PCG for the Poisson equation on irregular domains. JOURNAL OF COMPUTATIONAL PHYSICS. 231:4531-4536.
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2012. DEVELOPMENT OF AN END-POINT DETECTION PROCEDURE FOR THE POST-EXPOSE BAKE PROCESS. PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE). 2439:78-88.
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1995. A minimum Sobolev norm technique for the numerical discretization of PDEs. JOURNAL OF COMPUTATIONAL PHYSICS. 299:649-666.
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2015. On Comparison of Dynamics of Dissipative and Finite-Time Systems Using Koopman Operator Methods. 49:454-461.
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2016. Closed-form solutions in the electrical field analysis for dielectrophoretic and travelling wave inter-digitated electrode arrays. JOURNAL OF PHYSICS D-APPLIED PHYSICS. 36:3073-3078.
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2003. ELECTROKINETIC MIXING IN MICROPLATES AND ITS APPLICATIONS TO KINASE AND ELISA-ASSAY TYPE REACTIONS. :539-542.
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2009. Spectral properties of dynamical systems, model reduction and decompositions. NONLINEAR DYNAMICS. 41:309-325.
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2005. Controllability, integrability and ergodicity. MULTIDISCIPLINARY RESEARCH IN CONTROL. 289:213-229.
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2003. On Applications of the Spectral Theory of the Koopman Operator in Dynamical Systems and Control Theory. :7034-7041.
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2015. Geometry of the ergodic quotient reveals coherent structures in flows. PHYSICA D-NONLINEAR PHENOMENA. 241:1255-1269.
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2012. Controllability for a class of area-preserving twist maps. PHYSICA D-NONLINEAR PHENOMENA. 189:234-246.
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2004. Optimal control of a co-rotating vortex pair: Averaging and impulsive control. PHYSICA D-NONLINEAR PHENOMENA. 192:63-82.
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2004. The Use of Ergodic Theory in Designing Dynamics for Search Problems.. IEEE Conference on Decision and Control. :7300-7307.
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2010. Building energy modeling: A systematic approach to zoning and model reduction using Koopman Mode Analysis. ENERGY AND BUILDINGS. 86:794-802.
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2015.