A bilevel approach for parameter learning in inverse problems G Holler, K Kunisch, RC Barnard
Inverse Problems 34 (11), 115012, 2018
45 2018 A convex penalty for switching control of partial differential equations C Clason, A Rund, K Kunisch, RC Barnard
Systems & Control Letters 89, 66-73, 2016
30 2016 Flow invariance on stratified domains RC Barnard, PR Wolenski
Set-Valued and Variational Analysis 21, 377-403, 2013
29 2013 Scientific data interpolation with low dimensional manifold model W Zhu, B Wang, R Barnard, CD Hauck, F Jenko, S Osher
Journal of Computational Physics 352, 213-245, 2018
15 2018 Three convolution inequalities on the real line with connections to additive combinatorics RC Barnard, S Steinerberger
Journal of Number Theory 207, 42-55, 2020
11 2020 Optimal radiotherapy treatment planning using minimum entropy models R Barnard, M Frank, M Herty
Applied Mathematics and Computation 219 (5), 2668-2679, 2012
11 2012 Total variation-based neutron computed tomography RC Barnard, H Bilheux, T Toops, E Nafziger, C Finney, D Splitter, ...
Review of Scientific Instruments 89 (5), 2018
9 2018 A mathematical model of asynchronous data flow in parallel computers RC Barnard, K Huang, C Hauck
IMA Journal of Applied Mathematics 85 (6), 865-891, 2020
3 2020 Sensitivity analysis for dose deposition in radiotherapy via a Fokker–Planck model RC Barnard, M Frank, K Krycki
Mathematical Medicine and Biology: A Journal of the IMA 34 (1), 109-123, 2017
2 2017 Treatment planning optimization for radiotherapy RC Barnard, M Frank, M Herty
PAMM 13 (1), 339-340, 2013
2 2013 penalization of volumetric dose objectives in optimal control of PDEsRC Barnard, C Clason
Computational Optimization and Applications 67 (2), 401-419, 2017
1 2017 A convex analysis approach to multiswitching control of partial differential equations C Clason, A Rund, K Kunisch, RC Barnard
SFB Report, 0
1 Modeling Information Flow with a Multi-Stage Queuing Mode RC Barnard, M Daneshvar, C Hauck, I Timofeyev
arXiv preprint arXiv:2308.02703, 2023
2023 Accelerating optimization-based computed tomography via sparse matrix approximations RC Barnard, R Archibald
arXiv preprint arXiv:1705.07497, 2017
2017 Optimal Treatment Planning in Radiotherapy Based on Boltzmann Transport Equations RC Barnard, M Frank, M Herty
Trends in PDE Constrained Optimization, 441-453, 2014
2014 State‐Constrained Optimization of PDEs via Infinite Penalization Methods R Barnard, M Frank, M Herty
PAMM 12 (1), 691-692, 2012
2012 Sensitivity analysis of a multigroup neutron spectral code SC Herber, HJ Allelein, K Krycki, R Barnard, A Aures
2012 State Constrained Optimization with Partial Differential Equations via Generalized Gradients R Barnard
arXiv preprint arXiv:1207.5390, 2012
2012 Hamilton-Jacobi theory for optimal control problems on stratified domains RC Barnard
Louisiana State University and Agricultural & Mechanical College, 2010
2010 ruhr. paD RC Barnard, C Clason