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 Cass T Miller

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Average citations per article3.43
Citation Count24
Publication count7
Publication years1997-2016
Available for download2
Average downloads per article1,836.50
Downloads (cumulative)3,673
Downloads (12 Months)54
Downloads (6 Weeks)6
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November 2016 ISAV '16: Proceedings of the 2nd Workshop on In Situ Infrastructures for Enabling Extreme-scale Analysis and Visualization
Publisher: IEEE Press
Citation Count: 0
Downloads (6 Weeks): 3,   Downloads (12 Months): 18,   Downloads (Overall): 26

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The simulation of multiscale physics is an important challenge for scientific computing. For this class of problem, large three-dimensional simulations are performed to advance scientific inquiry. On massively parallel computing systems, the volume of data generated by such approaches can become a productivity bottleneck if the raw data generated from ...

July 2010 Journal of Computational Physics: Volume 229 Issue 13, July, 2010
Publisher: Academic Press Professional, Inc.
Citation Count: 1

The focus of this work is on the modeling of an ion exchange process that occurs in drinking water treatment applications. The model formulation consists of a two-scale model in which a set of microscale diffusion equations representing ion exchange resin particles that vary in size and age are coupled ...
Keywords: Semi-implicit preconditioner, Krylov deferred correction methods, Multiscale modeling, Diffusion process, Finite element methods

October 2007 Journal of Computational Physics: Volume 226 Issue 2, October, 2007
Publisher: Academic Press Professional, Inc.
Citation Count: 2

We examine a variety of polynomial-chaos-motivated approximations to a stochastic form of a steady state groundwater flow model. We consider approaches for truncating the infinite dimensional problem and producing decoupled systems. We discuss conditions under which such decoupling is possible and show that to generalize the known decoupling by numerical ...
Keywords: Stochastic, Monte Carlo, Groundwater flow, Karhunen-Loève expansion

February 2001 SIAM Journal on Scientific Computing: Volume 23 Issue 2, 2001
Publisher: Society for Industrial and Applied Mathematics
Citation Count: 10

We consider theoretical and computational issues associated with an aggregation-based domain decomposition preconditioner applied to a Bi-CGSTAB iterative solver used to solve both Laplace's equation and an important nonlinear model from hydrology used to simulate unsaturated flow, Richards' equation. Theoretical results for Laplace's equation provide estimates of the condition number ...
Keywords: Newton--Krylov--Schwarz methods, Richards' equation, aggregation, domain decomposition, nonlinear equations

5 published by ACM
December 1999 ACM Transactions on Mathematical Software (TOMS): Volume 25 Issue 4, Dec. 1999
Publisher: ACM
Citation Count: 2
Downloads (6 Weeks): 3,   Downloads (12 Months): 36,   Downloads (Overall): 3,647

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Object-oriented programming can produce improved implementations of complex numerical methods, but it can also introduce a performance penalty. Since computational simulation often requires intricate and highly efficient codes, the performance penalty of high-level techniques must always be weighed against the improvements they enable. These issues are addressed in a general ...
Keywords: differential-algebraic equations

January 1998 SIAM Journal on Scientific Computing: Volume 19 Issue 1, Jan. 1998
Publisher: Society for Industrial and Applied Mathematics
Citation Count: 2

Many ordinary differential equation (ODE) and differential algebraic equation (DAE) codes terminate the nonlinear iteration for the corrector equation when the difference between successive iterates (the step) is sufficiently small. This termination criterion avoids the expense of evaluating the nonlinear residual at the final iterate. Similarly, Jacobian information is not ...
Keywords: Richards' equation, method of lines, termination of nonlinear iterations

March 1997 Mathematics and Computers in Simulation - Special issue: selection of papers presented at the MSSA/IMACS 11th biennial conference on modelling and simulation, Newcastle, New South Wales, Australia, November 1995: Volume 43 Issue 3-6, March 1997
Publisher: Elsevier Science Publishers B. V.
Citation Count: 7

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