- Analysis of the SUPG Method for the Solution of Optimal Control Problems
2024/11/14 by S. Scott Collis, Collis, S. Scott, Matthias Heinkenschloss +1 · 1 citation
Engineering · #49K20 #49M25 #65J10 #65N15 #Aerospace Engineering and Control Systems #FOS: Mathematics #G.1.8 #J.2 #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
- A posteriori error estimates for a bang-bang optimal control problem
2024/09/04 by Francisco Fuica, Fuica, Francisco · 1 citation
Earth and Planetary Sciences · Engineering · #49M25 #65N15 #65N30 #Advanced Numerical Methods in Computational Mathematics #Aerospace Engineering and Control Systems #FOS: Mathematics #Geophysics and Gravity Measurements #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
- Mean field games master equations: from discrete to continuous state space
2022/07/07 by Bertucci, Charles, Cecchin, Alekos · 1 citation
#35Q89 #49M25 #49N80 #60J28 #65M06 #65M75 #91A16 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Probability (math.PR)
- Finite Elements with Switch Detection for Direct Optimal Control of Nonsmooth Systems
2022/05/11 by Nurkanović, Armin, Sperl, Mario, Albrecht, Sebastian +1 · 1 citation
#34A36 #49M25 #49M37 #49Q12 #65L99 #FOS: Mathematics #Optimization and Control (math.OC)
- Risk-based path planning for autonomous vehicles
2022/03/07 by Wang, Qiannan, Gerdts, Matthias · 1 citation
#49M25 #49N90 #FOS: Mathematics #Optimization and Control (math.OC)
- Convergence of a robust deep FBSDE method for stochastic control
2022/01/18 by Andersson, Kristoffer, Andersson, Adam, Oosterlee, Cornelis W. · 1 citation
#49M25 #60H30 #60H35 #65C30 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Probability (math.PR)
- Stochastic Optimal Control of a Sailboat
2021/09/17 by Miles, Cole, Vladimirsky, Alexander · 1 citation
#49L20 #49M25 #65K15 (Secondary) #93C30 #93E20 (Primary) #FOS: Mathematics #Optimization and Control (math.OC)
- A continuation multiple shooting method for Wasserstein geodesic equation
2021/05/20 by Cui, Jianbo, Dieci, Luca, Zhou, Haomin · 1 citation
#34A55 #49M25 #49Q22 #65L09 #FOS: Mathematics #Numerical Analysis (math.NA)
- Finite state N-agent and mean field control problems
2020/10/22 by Cecchin, Alekos · 1 citation
#35B65 #35F21 #49L25 #49M25 #60F15 #60J27 #91A12 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR)
- An Integral Penalty-Barrier Direct Transcription Method for Optimal Control
2020/09/14 by Neuenhofen, Martin P., Kerrigan, Eric C. · 1 citation
#49M25 #FOS: Mathematics #Optimization and Control (math.OC)
- Consistency and convergence for a family of finite volume discretizations of the Fokker--Planck operator
2020/02/21 by Heida, Martin, Kantner, Markus, Stephan, Artur · 1 citation
#35Q84 #49M25 #65N08 #FOS: Mathematics #Numerical Analysis (math.NA)
- Polygonal symplectic billiards
2019/12/19 by Peter Albers, Gautam Banhatti, Albers, Peter +7 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #37J10 #49M25 #Cellular Automata and Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Symplectic Geometry (math.SG)
- Numerical Estimation of a Diffusion Coefficient in Subdiffusion
2019/09/01 by Bangti Jin, Zhi Zhou, Jin, Bangti +1 · 3 citations
Computer Science · Mathematics · #35R11 #35R30 #49M25 #65M60 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Fractional Differential Equations Solutions #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Optimization and Control (math.OC)
- Gradient Flow Finite Element Discretizations with Energy-Based Adaptivity for the Gross-Pitaevskii Equation
2019/06/17 by Heid, Pascal, Stamm, Benjamin, Wihler, Thomas P. · 4 citations
#35P30 #47J25 #49M25 #49R05 #65N25 #65N30 #65N50 #FOS: Mathematics #Numerical Analysis (math.NA)
- Error estimates for space-time discretization of parabolic time-optimal control problems with bang-bang controls
2018/09/13 by Bonifacius, Lucas, Pieper, Konstantin, Vexler, Boris · 1 citation
#49K20 #49M25 #65M15 #65M60 #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
- A geometric integration approach to nonsmooth, nonconvex optimisation
2018/07/19 by Riis, Erlend S., Ehrhardt, Matthias J., Quispel, G. R. W. +1 · 1 citation
#49M25 #49Q15 #65K10 #90C15 #90C26 #90C56 #94A08 #FOS: Mathematics #Optimization and Control (math.OC)
- Quantitative analysis of finite-difference approximations of free-discontinuity problems
2018/07/14 by Bach, Annika, Braides, Andrea, Zeppieri, Caterina Ida · 1 citation
#49J45 #49M25 #65M06 #68U10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
- Distributed Online Optimization for Multi-Agent Optimal Transport
2018/04/04 by Krishnan, Vishaal, Martínez, Sonia · 1 citation
#35B35 #35B40 #49K20 #49L99 #49M25 #49N15 #90C46 #93A15 #93C20 #93D05 #93D20 #FOS: Mathematics #Optimization and Control (math.OC)
- Fractional Elliptic Quasi-Variational Inequalities: Theory and Numerics
2017/12/19 by Antil, Harbir, Rautenberg, Carlos N. · 1 citation
#26A33 #35J75 #35R35 #49M25 #65M60 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
- Smooth Interpolation of Key Frames in a Riemannian Shell Space
2017/02/22 by Huber, Pascal, Perl, Ricardo, Rumpf, Martin · 1 citation
#49M25 #65D05 #65D17 #68U07 #FOS: Mathematics #Numerical Analysis (math.NA)
- Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients
2017/02/01 by Trautmann, Philip, Vexler, Boris, Zlotnik, Alexander · 1 citation
#49K20 #49M05 #49M25 #49M29 #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Primary: 65M60 #Secondary: 35L05
- Convergence of a Newton algorithm for semi-discrete optimal transport
2016/03/17 by Kitagawa, Jun, Mérigot, Quentin, Thibert, Boris · 8 citations
#49M25 #65K10 #Analysis of PDEs (math.AP) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Numerical Analysis (math.NA)
- A Numerical Framework for Sobolev Metrics on the Space of Curves
2016/03/10 by Bauer, Martin, Bruveris, Martins, Harms, Philipp +1 · 2 citations
#49M25 #58B20 #58E50 (Primary) #68U05 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #Numerical Analysis (math.NA)
- Time Discrete Geodesic Paths in the Space of Images
2015/03/06 by Berkels, Benjamin, Effland, Alexander, Rumpf, Martin · 1 citation
#37L65 #49M25 #53C22 #65D18 #65L20 #FOS: Mathematics #Numerical Analysis (math.NA)
- Optimal execution with nonlinear transient market impact
2014/12/16 by Curato, Gianbiagio, Gatheral, Jim, Lillo, Fabrizio · 3 citations
#45E10 #45G05 #49M25 #90C26 #90C30 #FOS: Economics and business #Trading and Market Microstructure (q-fin.TR)
- Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope
2012/12/16 by Ambrosio, Luigi, Colombo, Maria, Di Marino, Simone · 4 citations
#31C25 #35K90 #49J52 #49M25 #49Q20 #58J35 #Analysis of PDEs (math.AP) #FOS: Mathematics
- A Total Variation Diminishing Interpolation Operator and Applications
2012/11/05 by Nochetto, Ricardo H., Salgado, Abner J. · 1 citation
#49J40 #49M25 #65D05 #65K15 #65M60 #65N15 #FOS: Mathematics #Numerical Analysis (math.NA)
- Implicit-Explicit Runge-Kutta schemes for numerical discretization of\n optimal control problems
2012/02/06 by Michaël Herty, Lorenzo Pareschi, Herty, Michael +3 · 1 citation
Engineering · Mathematics · #49M25 #65Kxx #65L06 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations #Optimization and Control (math.OC)