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March 7, 2018

kinKadath

Posted on March 7, 2018  •  1 minutes  • 138 words

Description

The kinKadath Library is an add-on to the Kadath program . It’s designed to optimize the computation by using Newton Krylov method.

Project Website

kinKadath project .

Brown, Peter N. and Saad, Youcef (1990). Hybrid Krylov Methods for Nonlinear Systems of Equations. SIAM J. Sci. Stat. Comput., 11(3), 450–481.doi: 10.1137/0911026.

Grandclement, Philippe (2010). Kadath: A Spectral solver for theoretical physics. J. Comput. Phys., 229, 3334–3357.doi: 10.1016/j.jcp.2010.01.005.

Kelley, C. T. (1995). Iterative Methods for Linear and Nonlinear Equations. SIAM.http://www.siam.org/books/textbooks/fr16_book.pdf.

Knoll, D. A. and Keyes, D. E. (2004). Jacobian-free Newton–Krylov methods: a survey of approaches and applications. Journal of Computational Physics, 193(2), 357 – 397.doi: https://doi.org/10.1016/j.jcp.2003.08.010.

Hindmarsh, Alan C. et al. (2005 9). Sundials: Suite of Nonlinear and Differential/Algebraic Equation Solvers. ACM Trans. Math. Softw., 31(3), 363–396.doi: 10.1145/1089014.1089020.

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Computing Science for Astronomy and Astrophysics