Alfio Borzì

Orcid: 0000-0002-8050-1336

Affiliations:
  • University of Würzburg, Germany


According to our database1, Alfio Borzì authored at least 66 papers between 1997 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Pointwise Error Estimates of Numerical Solutions to Linear Quadratic Optimal Control Problems.
J. Sci. Comput., April, 2024

An Optimal Control Problem for the Wigner Equation.
SIAM J. Appl. Math., 2024

A high contrast and resolution reconstruction algorithm in quantitative photoacoustic tomography.
CoRR, 2024

2023
Positivity Preserving Exponential Integrators for Differential Riccati Equations.
J. Sci. Comput., August, 2023

Fokker-Planck analysis of superresolution microscopy images.
CoRR, 2023

2022
Hierarchical-matrix method for a class of diffusion-dominated partial integro-differential equations.
Numer. Linear Algebra Appl., 2022

A sequential quadratic hamiltonian algorithm for training explicit RK neural networks.
J. Comput. Appl. Math., 2022

Preconditioned Gradient Method for Data Approximation with Shallow Neural Networks.
Proceedings of the Machine Learning, Optimization, and Data Science, 2022

2021
A Fokker-Planck Approach to the Reconstruction of a Cell Membrane Potential.
SIAM J. Sci. Comput., 2021

A numerical investigation of Brockett's ensemble optimal control problems.
Numerische Mathematik, 2021

Correction to: Nash Equilibria and Bargaining Solutions of Differential Bilinear Games.
Dyn. Games Appl., 2021

Nash Equilibria and Bargaining Solutions of Differential Bilinear Games.
Dyn. Games Appl., 2021

MOCOKI: A Monte Carlo approach for optimal control in the force of a linear kinetic model.
Comput. Phys. Commun., 2021

Training Artificial Neural Networks with Gradient and Coarse-Level Correction Schemes.
Proceedings of the Machine Learning, Optimization, and Data Science, 2021

2020
Erratum: A Theoretical Investigation of Time-dependent Kohn-Sham Equations.
SIAM J. Math. Anal., 2020

A sequential quadratic Hamiltonian scheme for solving non-smooth quantum control problems with sparsity.
J. Comput. Appl. Math., 2020

The Pontryagin maximum principle for solving Fokker-Planck optimal control problems.
Comput. Optim. Appl., 2020

2019
A multigrid scheme for solving convection-diffusion-integral optimal control problems.
Comput. Vis. Sci., 2019

2018
A New Optimization Approach to Sparse Reconstruction of Log-Conductivity in Acousto-Electric Tomography.
SIAM J. Imaging Sci., 2018

A Fokker-Planck approach to control collective motion.
Comput. Optim. Appl., 2018

2017
A Theoretical Investigation of Time-Dependent Kohn-Sham Equations.
SIAM J. Math. Anal., 2017

Numerical Investigation of a Class of Liouville Control Problems.
J. Sci. Comput., 2017

Proximal schemes for parabolic optimal control problems with sparsity promoting cost functionals.
Int. J. Control, 2017

A COKOSNUT code for the control of the time-dependent Kohn-Sham model.
Comput. Phys. Commun., 2017

Analysis of splitting methods for solving a partial integro-differential Fokker-Planck equation.
Appl. Math. Comput., 2017

2016
Development of Real-Time Magnetic Resonance Imaging of Mouse Hearts at 9.4 Tesla - Simulations and First Application.
IEEE Trans. Medical Imaging, 2016

Multigrid Optimization Methods for the Optimal Control of Convection-Diffusion Problems with Bilinear Control.
J. Optim. Theory Appl., 2016

Hermite approximation of a hyperbolic Fokker-Planck optimality system to control a piecewise-deterministic process.
Int. J. Control, 2016

A LONE code for the sparse control of quantum systems.
Comput. Phys. Commun., 2016

2015
Newton Methods for the Optimal Control of Closed Quantum Spin Systems.
SIAM J. Sci. Comput., 2015

Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations.
J. Num. Math., 2015

A method for solving exact-controllability problems governed by closed quantum spin systems.
Int. J. Control, 2015

SKRYN: A fast semismooth-Krylov-Newton method for controlling Ising spin systems.
Comput. Phys. Commun., 2015

Second-order approximation and fast multigrid solution of parabolic bilinear optimization problems.
Adv. Comput. Math., 2015

2013
Formulation and Numerical Solution of Nash Equilibrium Multiobjective Elliptic Control Problems.
SIAM J. Control. Optim., 2013

Multigrid Shape Optimization Governed by Elliptic PDEs.
SIAM J. Control. Optim., 2013

Fast solvers for simulation, inversion, and control of wave propagation problems.
Numer. Linear Algebra Appl., 2013

A Fokker-Planck control framework for multidimensional stochastic processes.
J. Comput. Appl. Math., 2013

Parallel algebraic multilevel Schwarz preconditioners for a class of elliptic PDE systems.
Comput. Vis. Sci., 2013

2012
Multigrid second-order accurate solution of parabolic control-constrained problems.
Comput. Optim. Appl., 2012

Computational Optimization of Systems Governed by Partial Differential Equations.
Computational science and engineering 8, SIAM, ISBN: 978-1-611972-04-7, 2012

2011
A full multigrid solution of control-constrained Cauchy-Riemann optimal control problems.
J. Num. Math., 2011

Formulation and multigrid solution of Cauchy-Riemann optimal control problems.
Comput. Vis. Sci., 2011

A POD framework to determine robust controls in PDE optimization.
Comput. Vis. Sci., 2011

Special issue in computing and visualization in science (CVS), related to the European multigrid conference, EMG 2010.
Comput. Vis. Sci., 2011

2010
QUCON: A fast Krylov-Newton code for dipole quantum control problems.
Comput. Phys. Commun., 2010

Multigrid and sparse-grid schemes for elliptic control problems with random coefficients.
Comput. Vis. Sci., 2010

Phase retrieval in SAR interferograms using diffusion and inpainting.
Proceedings of the IEEE International Geoscience & Remote Sensing Symposium, 2010

2009
A Globalized Newton Method for the Accurate Solution of a Dipole Quantum Control Problem.
SIAM J. Sci. Comput., 2009

Multigrid Methods and Sparse-Grid Collocation Techniques for Parabolic Optimal Control Problems with Random Coefficients.
SIAM J. Sci. Comput., 2009

Multigrid Methods for PDE Optimization.
SIAM Rev., 2009

Implementation and analysis of multigrid schemes with finite elements for elliptic optimal control problems.
Computing, 2009

Robust Registration of Satellite Images with Local Distortions.
Proceedings of the IEEE International Geoscience & Remote Sensing Symposium, 2009

2008
Multigrid Optimization Schemes for Solving Bose-Einstein Condensate Control Problems.
SIAM J. Sci. Comput., 2008

A cascadic monotonic time-discretized algorithm for finite-level quantum control computation.
Comput. Phys. Commun., 2008

Multigrid optimization methods for linear and bilinear elliptic optimal control problems.
Computing, 2008

2006
A globalization strategy for the multigrid solution of elliptic optimal control problems.
Optim. Methods Softw., 2006

Distributed optimal control of lambda-omega systems.
J. Num. Math., 2006

2005
Analysis of Iterative Methods for Solving a Ginzburg-Landau Equation.
Int. J. Comput. Vis., 2005

A Multigrid Scheme for Elliptic Constrained Optimal Control Problems.
Comput. Optim. Appl., 2005

2004
Solution of lambda-omega systems: Theta-schemes and multigrid methods.
Numerische Mathematik, 2004

2003
Optimal Control Formulation for Determining Optical Flow.
SIAM J. Sci. Comput., 2003

An Algebraic Multigrid Method for a Class of Elliptic Differential Systems.
SIAM J. Sci. Comput., 2003

2002
Accuracy and Convergence Properties of the Finite Difference Multigrid Solution of an Optimal Control Optimality System.
SIAM J. Control. Optim., 2002

2000
The Numerical Solution of the Steady State Solid Fuel Ignition Model and Its Optimal Control.
SIAM J. Sci. Comput., 2000

1997
Multilevel Solution of Cell Vertex Cauchy-Riemann Equations.
SIAM J. Sci. Comput., 1997


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