@inproceedings {INPROC-2018-09,
   author = {Julian Valentin and Dirk Pfl{\"u}ger},
   title = {{Fundamental Splines on Sparse Grids and Their Application to Gradient-Based Optimization}},
   booktitle = {Sparse Grids and Applications - Miami 2016},
   editor = {Jochen Garcke and Dirk Pfl{\"u}ger and Clayton G. Webster and Guannan Zhang},
   publisher = {Springer},
   institution = {Universit{\"a}t Stuttgart, Fakult{\"a}t Informatik, Elektrotechnik und Informationstechnik, Germany},
   series = {Lecture Notes in Computational Science and Engineering},
   volume = {123},
   pages = {229--251},
   type = {Konferenz-Beitrag},
   month = {Januar},
   year = {2018},
   doi = {10.1007/978-3-319-75426-0_10},
   keywords = {sparse grids; optimization; B-splines},
   language = {Englisch},
   cr-category = {G.1.6 Numerical Analysis Optimization},
   ee = {https://dx.doi.org/10.1007/978-3-319-75426-0_10},
   department = {Universit{\"a}t Stuttgart, Institut f{\"u}r Parallele und Verteilte Systeme, Simulation gro{\ss}er Systeme},
   abstract = {},
   url = {http://www2.informatik.uni-stuttgart.de/cgi-bin/NCSTRL/NCSTRL_view.pl?id=INPROC-2018-09&engl=0}
}
@inproceedings {INPROC-2016-53,
   author = {Dirk Pfl{\"u}ger and Miriam Mehl and Julian Valentin and Florian Lindner and David Pfander and Stefan Wagner and Daniel Graziotin and Yang Wang},
   title = {{The Scalability-Efficiency/Maintainability-Portability Trade-Off in Simulation Software Engineering: Examples and a Preliminary Systematic Literature Review}},
   booktitle = {Proceedings of 2016 Fourth International Workshop on Software Engineering for High Performance Computing in Computational Science and Engineering (SE-HPCCSE 2016), held in conjunction with SC16, Salt Lake City, Utah},
   publisher = {IEEE Computer Society; ACM},
   institution = {Universit{\"a}t Stuttgart, Fakult{\"a}t Informatik, Elektrotechnik und Informationstechnik, Germany},
   pages = {26--34},
   type = {Workshop-Beitrag},
   month = {November},
   year = {2016},
   doi = {10.1109/SE-HPCCSE.2016.008},
   keywords = {digital simulation; software maintenance; software portability; SLR; SSE; complex software; dynamic construction process; maintainability-portability trade-off; scalability-efficiency trade-off; simulation software engineering; systematic literature review; Computational modeling; Hardware; Mathematical model; Numerical models; Scalability; Software; Software engineering},
   language = {Englisch},
   cr-category = {D.2.0 Software Engineering General},
   ee = {https://dx.doi.org/10.1109/SE-HPCCSE.2016.008},
   department = {Universit{\"a}t Stuttgart, Institut f{\"u}r Parallele und Verteilte Systeme, Simulation gro{\ss}er Systeme},
   abstract = {},
   url = {http://www2.informatik.uni-stuttgart.de/cgi-bin/NCSTRL/NCSTRL_view.pl?id=INPROC-2016-53&engl=0}
}
@inproceedings {INPROC-2016-12,
   author = {Julian Valentin and Dirk Pfl{\"u}ger},
   title = {{Hierarchical Gradient-Based Optimization with B-Splines on Sparse Grids}},
   booktitle = {Sparse Grids and Applications - Stuttgart 2014},
   editor = {Jochen Garcke and Dirk Pfl{\"u}ger},
   publisher = {Springer},
   institution = {Universit{\"a}t Stuttgart, Fakult{\"a}t Informatik, Elektrotechnik und Informationstechnik, Germany},
   series = {Lecture Notes in Computational Science and Engineering},
   volume = {109},
   pages = {315--336},
   type = {Konferenz-Beitrag},
   month = {M{\"a}rz},
   year = {2016},
   doi = {10.1007/978-3-319-28262-6_13},
   keywords = {sparse grids; optimization; B-splines},
   language = {Englisch},
   cr-category = {G.1.6 Numerical Analysis Optimization},
   ee = {ftp://ftp.informatik.uni-stuttgart.de/pub/library/ncstrl.ustuttgart_fi/INPROC-2016-12/INPROC-2016-12.pdf,     https://dx.doi.org/10.1007/978-3-319-28262-6_13},
   department = {Universit{\"a}t Stuttgart, Institut f{\"u}r Parallele und Verteilte Systeme, Simulation gro{\ss}er Systeme},
   abstract = {Optimization algorithms typically perform a series of function evaluations to find an approximation of an optimal point of the objective function. Evaluations can be expensive, e.g., if they depend on the results of a complex simulation. When dealing with higher-dimensional functions, the curse of dimensionality increases the difficulty of the problem rapidly and prohibits a regular sampling. Instead of directly optimizing the objective function, we replace it with a sparse grid interpolant, saving valuable function evaluations. We generalize the standard piecewise linear basis to hierarchical B-splines, making the sparse grid surrogate smooth enough to enable gradient-based optimization methods. Also, we use an uncommon refinement criterion due to Novak and Ritter to generate an appropriate sparse grid adaptively. Finally, we evaluate the new method for various artificial and real-world examples.},
   url = {http://www2.informatik.uni-stuttgart.de/cgi-bin/NCSTRL/NCSTRL_view.pl?id=INPROC-2016-12&engl=0}
}
@article {ART-2018-02,
   author = {Julian Valentin and Michael Sprenger and Dirk Pfl{\"u}ger and Oliver R{\"o}hrle},
   title = {{Gradient-Based Optimization with B-Splines on Sparse Grids for Solving Forward-Dynamics Simulations of Three-Dimensional, Continuum-Mechanical Musculoskeletal System Models}},
   journal = {International Journal for Numerical Methods in Biomedical Engineering},
   publisher = {Wiley},
   pages = {1--16},
   type = {Artikel in Zeitschrift},
   month = {Januar},
   year = {2018},
   doi = {10.1002/cnm.2965},
   language = {Englisch},
   cr-category = {G.1.1 Numerical Analysis Interpolation,     G.1.6 Numerical Analysis Optimization},
   department = {Universit{\"a}t Stuttgart, Institut f{\"u}r Parallele und Verteilte Systeme, Simulation gro{\ss}er Systeme},
   abstract = {},
   url = {http://www2.informatik.uni-stuttgart.de/cgi-bin/NCSTRL/NCSTRL_view.pl?id=ART-2018-02&engl=0}
}