Publications of Students

Murray, Ryan; Wilcox, Galen, Non-linear singularity formation for circular vortex sheets, Quart. Appl. Math. 82 (2024), no. 1, 81–96.
Murray, Ryan; Wilcox, Galen, Corrigendum to “Non-linear singularity formation for circular vortex sheets”, Quart. Appl. Math. 82 (2024), no. 2, 449–450.
Murdza, Andrew; Nguyen, Khai T., A sharp quantitative estimate of critical sets, submitted
Murdza, Andrew; E. Phillips; Nguyen, Khai T., Hausdroff measure of zeros of polynomials, submitted
Murdza, Andrew; Nguyen, Khai T., A quantitative version of the transversality theorem, Commun. Math. Sci. 21 (2023), no. 5, 1303–1320.
Murdza, Andrew; Nguyen, Khai T., A lower bound on the quantitative version of the transversality theorem, J. Math. Anal. Appl. 528 (2023), no. 1, Paper No. 127539, 11 pp.
Bociu, Lorena; Ftaka, Evangelia; Nguyen, Khai T.; Schino, Jacopo, Piecewise regular solutions to scalar balance laws with singular nonlocal sources, J. Differential Equations 409 (2024), 181–222.
Bociu, Lorena; Broussard, Matthew; Guidoboni, Giovanna; Strikwerda, Sarah, Analysis of a Multiscale Interface Problem Based on the Coupling of Partial and Ordinary Differential Equations to Model Tissue Perfusion, Multiscale Model. Simul. 23 (2025), no. 1, 1–24.
Bociu, Lorena; Manns, Paul; Severitt, Marvin; Strikwerda, Sarah, Input regularization for integer optimal control in BV with applications to control of poroelastic and poroviscoelastic systems, J. Nonsmooth Anal. Optim. 5 (2024), Paper No. 10529, 38 pp.
Bociu, Lorena; Strikwerda, Sarah, Poro-visco-elasticity in biomechanics: optimal control, Assoc. Women Math. Ser., 31, Springer, Cham, 2022, 103–132.
Bociu, Lorena; Strikwerda, Sarah, Optimal control in poroelasticity, Appl. Anal. 101 (2022), no. 5, 1774–1796.
Bùi, Minh N.; Combettes, Patrick L., Analysis and numerical solution of a modular convex Nash equilibrium problem, J. Convex Anal. 29 (2022), no. 4, 1007–1021.
Bùi, Minh N.; Combettes, Patrick L., Multivariate monotone inclusions in saddle form, Math. Oper. Res. 47 (2022), no. 2, 1082–1109.
M. N. Bùi, Projective splitting as a warped proximal algorithm, Appl. Math. Optim. 85 (2022), no. 2, Paper No. 4, 11 pp.
M. N. Bùi, A decomposition method for solving multicommodity network equilibria, Operations Research Letters, Oper. Res. Lett. 50 (2022), no. 1, 40–44.
M. N. Bùi and P. L. Combettes, Analysis and numerical solution of a modular convex Nash equilibrium problem.
S. Bianchini, P. Dutta, and K. T. Nguyen, Metric entropy for Hamilton-Jacobi equation with uniformly directionally convex Hamiltonian, SIAM J. Math. Anal. 54 (2022), no. 5, 5551–5575..
R. H. Vogt and S. Strikwerda, Solving bang-bang problems using the immersed interface method and integer programming,.
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.
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.