Browsing by Author "Naumann, U."

Now showing items 1-5 of 5

    • Application of automatic differentiation to race car performance optimisation 

      Christianson, B.; Casanova, D.; Sharp, R.S.; Final, M.; Symonds, P. (Springer Nature, 2002)
      A formal method for the evaluation of the minimum time vehicle manoeuvre is described. The problem is treated as one of optimal control and is solved using a direct transcription method. The resulting nonlinear programming ...

    • Globalization of Pantoja's optimal control algorithm 

      Christianson, B.; Bartholomew-Biggs, M. (Springer Nature, 2002)
      In 1983 Pantoja described a stagewise construction of the Newton direction for a general class of discrete time optimal control problems. His algorithm incurs amazingly low overheads: the cost (measured in target function ...

    • On the use of discrete adjoints in goal error estimation for shallow water equations 

      Rauser, F.; Riehme, J.; Leppkes, K.; Korn, P.; Naumann, U. (2010)
      Goal oriented dual weight error estimation has been used in context of computational fluid dynamics for several years. The adaptation of this method to geophysical models is the subject of this paper. A differentiation-enabled ...

    • Second-order adjoints by source code manipulation of numerical programs 

      Naumann, U.; Maier, M.; Riehme, Jan; Christianson, B. (RWTH Aachen, 2007)
      The analysis and modification of numerical programs in the context of generating and optimizing adjoint code automatically probably ranges among the technically and theoretically most challenging source transformation ...

    • Structure-exploiting automatic differentiation of finite element discretizations 

      Stumm, P.; Walther, A.; Riehme, J.; Naumann, U. (2008)
      A common way to solve PDE constrained optimal control problems by automatic differentiation (AD) is the full black box approach. This technique may fail because of the large memory requirement. In this paper we present two ...