Publications of Students
- M. N. Bùi, Projective splitting as a warped proximal algorithm, Applied Mathematics and Optimization, to appear.
- M. N. Bùi, A decomposition method for solving multicommodity network equilibria, Operations Research Letters, to appear.
- M. N. Bùi and P. L. Combettes, Analysis and numerical solution of a modular convex Nash equilibrium problem, preprint.
- S. Bianchini, P. Dutta, and K. T. Nguyen, Metric entropy for Hamilton-Jacobi equation with uniformly directionally convex Hamiltonian, preprint.
- R. H. Vogt and S. Strikwerda, Solving bang-bang problems using the immersed interface method and integer programming, preprint.
- P. L. Combettes and Z. C. Woodstock, A variational inequality model for the construction of signals from inconsistent nonlinear equations, SIAM Journal on Imaging Sciences, to appear.
- M. N. Bùi, P. L. Combettes, and Z. C. Woodstock, Block-activated algorithms for multicomponent fully nonsmooth minimization, preprint.
- M. N. Bùi and P. L. Combettes, Multivariate monotone inclusions in saddle form, Mathematics of Operations Research, to appear.
- R. Capuani, S. Gilmore, and Khai T. Nguyen, A model of debt with bankruptcy risk and currency devaluation, Minimax Theory and its Applications, vol. 5, 23 pp., 2020.
- S. Gilmore and K. T. Nguyen, SBV regularity for Burgers-Poisson equation, Journal of Mathematical Analysis and Applications, vol. 500, art. 125095, 13 pp., August 2021.
- R. Capuani, P. Dutta, and K. T. Nguyen, Metric entropy for functions of bounded total generalized variation, SIAM Journal on Mathematical Analysis, vol. 53, pp. 1168-1190, 2021.
- P. L. Combettes and Z. C. Woodstock, Reconstruction of functions from prescribed proximal points, Journal of Approximation Theory, vol. 268, art. 105606, 26 pp., August 2021.
- P. L. Combettes and Z. C. Woodstock, A fixed point framework for recovering signals from nonlinear transformations, Proceedings of the European Signal Processing Conference, pp. 2120-2124. Amsterdam, The Netherlands, January 18-22, 2021.
- M. N. Bùi and P. L. Combettes, Warped proximal iterations for monotone inclusions, Journal of Mathematical Analysis and Applications, vol. 491, no. 1, 21 pages, November 2020.
- R. Capuani, S. Gilmore, and K. T. Nguyen, A model of debt with bankruptcy risk and currency devaluation, Minimax Theory and its Applications, 2020.
- M. N. Bùi and P. L. Combettes, The Douglas-Rachford algorithm converges only weakly, SIAM Journal on Control and Optimization, vol. 58, no. 2, pp. 1118-1120, April 2020.
- L. E. Glaudin, Variable metric algorithms driven by averaged operators, Splitting Algorithms, Modern Operator Theory and Applications, pp. 227-242, November 2019.
- P. L. Combettes and L. E. Glaudin, Proximal activation of smooth functions in splitting algorithms for convex image recovery, SIAM Journal on Imaging Sciences, vol. 12, no. 4, pp. 1905-1935, November 2019.
- P. L. Combettes and L. E. Glaudin, Fully proximal splitting algorithms in image recovery, Proceedings of the European Signal Processing Conference, pp. 525-529. A Coruña, Spain, September 2-6, 2019.
- M. N. Bùi and P. L. Combettes, Bregman forward-backward operator splitting, Set-Valued and Variational Analysis, published online November 28, 2020.
- P. Dutta and K. T. Nguyen, Covering numbers for bounded variation functions, Journal of Mathematical Analysis and Applications, vol. 468, no.2, pp. 1131–1143, 2018
- P. L. Combettes and L. E. Glaudin, Quasinonexpansive iterations on the affine hull of orbits: From Mann’s mean value algorithm to inertial methods, SIAM Journal on Optimization, vol. 27, no. 4, pp. 2356-2380, December 2017.
- Aaron Bardall, Karen E. Daniels, and Michael Shearer, Deformation of an elastic substrate due to a resting sessile droplet, European Journal of Applied Mathematics, vol. 29, no. 2, pp. 281-300, April 2018
- Aaron Bardall, Scoring practices for remote sensing, MPI 2016 Conference Report.
- Aaron Bardall, Methods for thin nearly flat elastic shells with stretching and bending, MPI 2015 Conference Report.
- H. T. Banks, K. Bekele-Maxwell, L. Bociu, Marcella Noorman and G. Guidoboni, Sensitivity Analysis in Poro- Elastic and Poro-Visco-Elastic Models with Respect to Boundary Data, Quart. Appl. Math., vol. 75, no. 4, pp. 697-735, 2017.
- H. T. Banks, K. Bekele-Maxwell, L. Bociu, M. Noorman and K. Tillman, The complex-step method for sensitivity analysis of non-smooth problems arising in biology, Eurasian Journal of Mathematical and Computer Applications, vol. 3, no. 3, pp. 16 – 68, 2015.