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| 2005
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1
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SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers
Alan C. Hindmarsh, Peter N. Brown, Keith E. Grant, Steven L. Lee, Radu Serban, Dan E. Shumaker, Carol S. Woodward
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September 2005
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Transactions on Mathematical Software (TOMS)
, Volume 31 Issue 3
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Publisher: ACM
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Full text available: |
 Pdf
(253.06 KB)
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| Bibliometrics: Downloads (6 Weeks): 16, Downloads (12 Months): 170, Citation Count: 11 |
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SUNDIALS is a suite of advanced computational codes for solving large-scale problems that can be modeled as a system of nonlinear algebraic equations, or as initial-value problems in ordinary differential or differential-algebraic equations. The basic ...
Keywords: DAEs, ODEs, nonlinear systems, sensitivity analysis
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| 2002
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2
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Application of parallel implicit methods to edge-plasma numerical simulations
T. D. Rognlien, X. Q. Xu, A. C. Hindmarsh
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January 2002
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Journal of Computational Physics
, Volume 175 Issue 1
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Publisher: Academic Press Professional, Inc.
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| Bibliometrics: Downloads (6 Weeks): n/a, Downloads (12 Months): n/a, Citation Count: 3 |
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A description is given of the parallelization algorithms and results for two codes used extensively to model edge plasmas in magnetic fusion energy devices. The codes are UEDGE, which calculates two-dimensional plasma and neutral gas profiles over long ...
Keywords: Newton-Krylov, edge plasma, parallel computation, plasma transport, plasma turbulence
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| 2001
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3
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Using an ODE solver for a class of integro-differential systems
Alan C. Hindmarsh, Mark D. Rotter
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April 2001
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Journal of Computational Physics
, Volume 168 Issue 2
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Publisher: Academic Press Professional, Inc.
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| Bibliometrics: Downloads (6 Weeks): n/a, Downloads (12 Months): n/a, Citation Count: 0 |
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Keywords: integro-differential equations, method of lines
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| 1999
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4
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PVODE, an ODE Solver for Parallel Computers
George D. Byrne, Alan C. Hindmarsh
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November 1999
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International Journal of High Performance Computing Applications
, Volume 13 Issue 4
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Publisher: Sage Publications, Inc.
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| Bibliometrics: Downloads (6 Weeks): n/a, Downloads (12 Months): n/a, Citation Count: 6 |
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PVODE is a general-purpose solver for ordinary differential equation (ODE) systems that implements methods for both stiff and nonstiff systems. The code is designed for single-program multiple-data environments. It is written in ANSI standard C, with ...
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| 1998
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5
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Consistent Initial Condition Calculation for Differential-Algebraic Systems
Peter N. Brown, Alan C. Hindmarsh, Linda R. Petzold
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September 1998
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SIAM Journal on Scientific Computing
, Volume 19 Issue 5
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Publisher: Society for Industrial and Applied Mathematics
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| Bibliometrics: Downloads (6 Weeks): n/a, Downloads (12 Months): n/a, Citation Count: 4 |
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In this paper we describe a new algorithm for the calculation of consistent initial conditions for a class of systems of differential-algebraic equations which includes semi-explicit index-one systems. We consider initial condition problems of two types---one ...
Keywords: consistent initial conditions, differential-algebraic equations
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| 1996
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6
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CVODE, a stiff/nonstiff ODE solver in C
Scott D. Cohen, Alan C. Hindmarsh
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March 1996
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Computers in Physics
, Volume 10 Issue 2
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Publisher: American Institute of Physics Inc.
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| Bibliometrics: Downloads (6 Weeks): n/a, Downloads (12 Months): n/a, Citation Count: 14 |
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| 1995
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7
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8
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9
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A linear algebraic analysis of diffusion synthetic acceleration for the Boltzmann transport equation
S. F. Ashby, P. N. Brown, M. R. Dorr, A. C. Hindmarsh
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February 1995
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SIAM Journal on Numerical Analysis
, Volume 32 Issue 1
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Publisher: Society for Industrial and Applied Mathematics
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| Bibliometrics: Downloads (6 Weeks): n/a, Downloads (12 Months): n/a, Citation Count: 4 |
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Keywords: Boltzmann transport, DSA, asymptotic analysis, diffusion limit, linear algebra
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10
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