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Richard C Barnard
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Year
A bilevel approach for parameter learning in inverse problems
G Holler, K Kunisch, RC Barnard
Inverse Problems 34 (11), 115012, 2018
452018
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
302016
Flow invariance on stratified domains
RC Barnard, PR Wolenski
Set-Valued and Variational Analysis 21, 377-403, 2013
292013
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
152018
Three convolution inequalities on the real line with connections to additive combinatorics
RC Barnard, S Steinerberger
Journal of Number Theory 207, 42-55, 2020
112020
Optimal radiotherapy treatment planning using minimum entropy models
R Barnard, M Frank, M Herty
Applied Mathematics and Computation 219 (5), 2668-2679, 2012
112012
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
92018
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
32020
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
22017
Treatment planning optimization for radiotherapy
RC Barnard, M Frank, M Herty
PAMM 13 (1), 339-340, 2013
22013
penalization of volumetric dose objectives in optimal control of PDEs
RC Barnard, C Clason
Computational Optimization and Applications 67 (2), 401-419, 2017
12017
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
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Articles 1–20