David Martı́n de Diego
- Geometric numerical integration of nonholonomic systems and optimal\n control problems
2002/12/02 by Manuel de León, David Martı́n de Diego, de Leon, M. +4 · 1 citation
Computer Science · Engineering · Mathematics · #37J60 #37M15 #49J15 #58F05 #Aerospace Engineering and Control Systems #Control and Dynamics of Mobile Robots #Dynamics and Control of Mechanical Systems #Educational Technology and Optimization #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA) #Numerical methods for differential equations
- Tulczyjew's triples and lagrangian submanifolds in classical field theories
2003/02/11 by Manuel de León, David Martı́n de Diego, de Leon, M. +5 · 1 citation
Mathematics · Physics and Astronomy · #Homotopy and Cohomology in Algebraic Topology #Advanced Differential Geometry Research #Mathematics and Applications
- Mechanical Hamiltonization of unreduced ϕ-simple Chaplygin systems
2024/09/27 by Alexandre Anahory Simoes, Juan Carlos Marrero, Simoes, Alexandre Anahory +3 · 3 citations
Mathematics · Physics and Astronomy · #37J60 #53C22 #70F25 #70G45 #Advanced Differential Equations and Dynamical Systems #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems
- Local convexity for second order differential equations on a Lie\n algebroid
2021/03/26 by Juan Carlos Marrero, Marrero, Juan Carlos, David Martı́n de Diego +3 · 1 citation
Mathematics · #17B66 #22A22 #34A26 #34B15 #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods for differential equations
- On the geometry of higher-order variational problems on Lie groups
2011/04/16 by Leonardo Colombo, Colombo, Leonardo, David Martı́n de Diego +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #17B66 #22A22 #70G45 #70Hxx #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Electrical engineering #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Microtubule and mitosis dynamics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
- Symmetry Preservation in Hamiltonian Systems: Simulation and Learning
2023/08/30 by Miguel Vaquero, Vaquero, Miguel, Jorge Cortés +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #37C79 #37J06 #65L05 #70H15 #70H30 #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #I.2.6 #I.6.1 #Machine Learning (cs.LG) #Mathematical Physics (math-ph) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods for differential equations #Optimization and Control (math.OC) #Symplectic Geometry (math.SG) #Time Series Analysis and Forecasting
- Designing Poisson Integrators Through Machine Learning
2024/03/29 by Miguel Vaquero, David Martı́n de Diego, Vaquero, Miguel +3 · 1 citation
Engineering · #Advanced Data Processing Techniques
- Approximating Symplectic Realizations: A General Framework for the Construction of Poisson Integrators
2024/09/06 by Alejandro Cabrera, David Martı́n de Diego, Cabrera, Alejandro +3 · 1 citation
Mathematics · #53D05 #65P10 #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
- Discretization of Dirac systems and port-Hamiltonian systems: the role of the constraint algorithm
2026/07/23 by María Barbero-Liñán, Juan Manuel López Medel, J. Medel +2
Mathematics · Engineering · Computer Science · #Numerical methods for differential equations #Control and Stability of Dynamical Systems #Polynomial and algebraic computation