Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Recipes for adjoint code construction
ACM Transactions on Mathematical Software (TOMS)
Adjoint implementation of Rosenbrock methods applied to variational data assimilation problems
Journal of Computational Physics
Flexible Two-Level Parallel Implementations of a Large Air Pollution Model
NMA '02 Revised Papers from the 5th International Conference on Numerical Methods and Applications
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In the past decade the variational methods (3D-var, 4D-var) have been successfully applied in meteorological data assimilation and showed promising results for atmospheric chemistry models. In this paper we describe adjoint computations in data assimilation problems using a 4-stage Rosenbrock method. The order 4 formula is L-stable and has an embedded order 3 formula for error control.