38 citations · 60 across the 7 of their papers we have counts for
7 papers
Experimental validation of an inverse method for defect reconstruction in a 2D waveguide model
Jannis Bulling, Benjamin Jurgelucks, Jens Prager +1
Defect reconstruction is essential in non-destructive testing and structural health monitoring with guided ultrasonic waves. This paper presents an algorithm for reconstructing not…
On a Frank-Wolfe Approach for Abs-smooth Functions
Timo Kreimeier, Sebastian Pokutta, Andrea Walther +1
We propose an algorithm which appears to be the first bridge between the fields of conditional gradient methods and abs-smooth optimization. Our problem setting is motivated by var…
High-level python abstractions for optimal checkpointing in inversion problems
Navjot Kukreja, Jan Hückelheim, Michael Lange +4
Inversion and PDE-constrained optimization problems often rely on solving the adjoint problem to calculate the gradient of the objec- tive function. This requires storing large amo…
Compile-Time Symbolic Differentiation Using C++ Expression Templates
Drosos Kourounis, Leonidas Gergidis, Michael Saunders +2
Template metaprogramming is a popular technique for implementing compile time mechanisms for numerical computing. We demonstrate how expression templates can be used for compile ti…
A General Algorithm to Calculate the Inverse Principal -th Root of Symmetric Positive Definite Matrices
Dorothee Richters, Michael Lass, Andrea Walther +2
We address the general mathematical problem of computing the inverse -th root of a given matrix in an efficient way. A new method to construct iteration functions that allow cal…
On the efficient computation of high-order derivatives for implicitly defined functions
Mathias Wagner, Andrea Walther, Bernd-Jochen Schaefer
Scientific studies often require the precise calculation of derivatives. In many cases an analytical calculation is not feasible and one resorts to evaluating derivatives numerical…