Solvers and other packages (a selection from Arnold Neumaier's
page,
some literature)
-
- julia (math. script
language)
- partitioners: PT-Scotch,
METIS
- direct solvers: PaStiX, FLAME,
PARADISO(O.Schenk,
Intel),
CHOLMOD
[new]
- iterative solvers: Paralution
(doc),
ADI, PETSc,
(Aztec)
- load balancing, parallel data management: DEAL
II, FreeFEM++,
Dune, ug4,
( Zoltan)
- preconditioners: Hypre,
AHMED,
PetFMM,
- tools: Intel Tools (Advisor,
Inspector)
- this list will be extended and specified
Automatic differentiation tools for optimization:
- Autodiff.org
- Books
- Andreas Griewank and Andrea
Walther: "Evaluating
Derivatives: Principles and Techniques of Algorithmic
Differentiation", Second Edition", SIAM, 2008 (Graz-Lib:
ebook and 1st edition: 66:G848)
- Uwe Naumann: "The
Art of Differentiating Computer Programs", SIAM, 2011
(Graz-Lib: 66:N311 and ebook)
- J. Haslinger and R. A. E.
Mäkinen: "Introduction
to Shape Optimization", SIAM, 2003 (Graz-Lib: 45:H352 and
ebook)
- Uwe Naumann and Olaf Schenk: "Combinatorial
Scientific Computing", Chapman & Hall/CRC Computational Science,
2012 (Graz-Lib: on acquisition)
- Alfio Borzì and Volker Schulz: "Computational
Optimization of Systems Governed by Partial Differential
Equations ", SIAM, 2011 (Graz-Lib: 65:B739 and ebook)
- Papers
- Bischof
et.al,: "Sensitivity Analysis Of Turbulence Models Using Automatic
Differentiation", SIAM J. SCI. COMPUT. ,Vol. 26, No. 2, pp.
510-522, 2004
- Borggaard
et.al: "On Efficient Solutions To The Continuous Sensitivity
Equation Using Automatic Differentiation", SIAM J. SCI. COMPUT.
,Vol. 22, No. 1, pp. 39–62, 2000
- Pryce et.al: "Fast Automatic
Differentiation Jacobians By Compact LU Factorization", SIAM J.
SCI. COMPUT. , Vol. 30, No. 4, pp. 1659–1677, 2008
- Schanen
et.al.: "Interpretative Adjoints for Numerical Simulation Codes
using MPI", Procedia Computer Science 1 (2012) 1825–1833, Elsevier
- Dayde
et.al.: "Element-By-Element Preconditioners For Large Partially
Separable Optimization Problems", SIAM J. SCI. COMPUT. , Vol. 18,
No. 6, pp. 1767-1787, 1997