Results 1 to 10 of about 412 (78)

Viscosity Solutions for a System of Integro-PDEs and Connections to Optimal Switching and Control of Jump-Diffusion Processes [PDF]

Applied Mathematics and Optimization, 2009
We develop a viscosity solution theory for a system of nonlinear degenerate parabolic integro-partial differential equations (IPDEs) related to stochastic optimal switching and control problems or stochastic games. In the case of stochastic optimal switching and control, we prove via dynamic programming methods that the value function is a viscosity ...
Biswas, Imran H., Jakobsen, Espen R., Karlsen, Kenneth H.   +2 more
openaire   +4 more sources

Numerical Analysis of Fourier Finite Volume Element Method for Dirichlet Boundary Optimal Control Problems Governed by Elliptic PDEs on Complex Connected Domains

Mathematics, 2022
In this research, we investigate an optimal control problem governed by elliptic PDEs with Dirichlet boundary conditions on complex connected domains, which can be utilized to model the cooling process of concrete dam pouring. A new convergence result for two-dimensional Dirichlet boundary control is proven with the Fourier finite volume element method.
Mengya Su, Liuqing Xie, Zhiyue Zhang
openaire   +2 more sources

Electrophysiological Data and the Biophysical Modelling of Local Cortical Circuits

Frontiers in Systems Neuroscience, 2014
This paper shows how recordings of gamma oscillations – under different experimental conditions or from different subjects – can be combined with a class of population models called neural fields and dynamic causal modeling (DCM) to distinguish among ...
Dimitris Pinotsis
doaj   +1 more source

“It Is Much Safer to Be Sparse than Connected”: Safe Control of Robotic Swarm Density Dynamics with PDE Optimization with State Constraints

Advanced Intelligent Systems
This paper introduces a safety‐critical optimization‐based control strategy that leverages control Lyapunov and control barrier functions to guide the spatial density of robotic swarms governed by the Fokker–Planck equation to a predefined target distribution.
Longchen Niu, Gennaro Notomista
openaire   +2 more sources

Performance analysis of PDE based parallel algorithms on different computer architectures

2009 Fifth International Conference on Soft Computing, Computing with Words and Perceptions in System Analysis, Decision and Control, 2009
I. Kopan, M. S. Çelebi
semanticscholar   +1 more source

Fast automated adjoints for spectral PDE solvers. [PDF]

Proc Natl Acad Sci U S A
Skene CS, Burns KJ.
europepmc   +1 more source

AI-driven adaptive vibration control in smart plate systems: a sustainable approach for next-generation sports engineering. [PDF]

Sci Rep
Lin B, Wang J, Safarpour M, Yaylacı M.
europepmc   +1 more source

Microliter-Scale Stereolithography Enables High-Resolution 3D Printing of Functional Extraction Sorbents. [PDF]

Anal Chem
Shamsaei D, Chandrasekara IU, Katubig EL, Ryan SJ, Anderson JL.   +4 more
europepmc   +1 more source

Adaptive Path Integral Diffusion: AdaPID. [PDF]

Entropy (Basel)
Chertkov M, Behjoo H.
europepmc   +1 more source

Partial differential equations in data science. [PDF]

Philos Trans A Math Phys Eng Sci
Bertozzi AL, Drenska N, Latz J, Thorpe M.   +3 more
europepmc   +1 more source