“Application of seeding and automatic differentiation in a large scale ocean circulation model”

Authors: Frode Martinsen and Dag Slagstad,
Affiliation: SINTEF and NTNU, Department of Engineering Cybernetics
Reference: 2005, Vol 26, No 3, pp. 121-134.

Keywords: Jacobian, automatic differentiation, seeding

Abstract: Computation of the Jacobian in a 3-dimensional general ocean circulation model is considered in this paper. The Jacobian matrix considered in this paper is square, large and sparse. When a large and sparse Jacobian is being computed, proper seeding is essential to reduce computational times. This paper presents a manually designed seeding motivated by the Arakawa-C staggered grid, and gives results for the manually designed seeding as compated to identity seeding and optimal seeding. Finite differences are computed for reference.

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  title={{Application of seeding and automatic differentiation in a large scale ocean circulation model}},
  author={Martinsen, Frode and Slagstad, Dag},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}