Results 11 to 20 of about 11,107 (112)
A HJB-POD approach for the control of nonlinear PDEs on a tree structure [PDF]
, 2019 The Dynamic Programming approach allows to compute a feedback control for nonlinear problems, but suffers from the curse of dimensionality. The computation of the control relies on the resolution of a nonlinear PDE, the Hamilton-Jacobi-Bellman equation ...
Alla, Alessandro, Saluzzi, Luca
core +3 more sources
Polynomial approximation via compressed sensing of high-dimensional functions on lower sets
, 2016 This work proposes and analyzes a compressed sensing approach to polynomial approximation of complex-valued functions in high dimensions. Of particular interest is the setting where the target function is smooth, characterized by a rapidly decaying ...
Chkifa, Abdellah +3 more
core +1 more source
Advanced Intelligent Systems, EarlyView.Physics‐Informed Neural Networks (PINNs) provide a framework for integrating physical laws with data. However, their application to Prognostics and Health Management (PHM) remains constrained by the limited uncertainty quantification (UQ) capabilities.
Ibai Ramirez +4 more
wiley +1 more source
Optimization of 3D‐Printed Structured Packings—Current State and Future Developments
Chemie Ingenieur Technik, EarlyView.This paper gives an overview about structured packing development for distillation, surveying heuristic development cycles, computational fluid dynamics simulations, and additive manufacturing techniques. The emerging application of shape optimization to improve packings is emphasized, and its benefits, impact, and limitations are discussed.
Dennis Stucke +3 more
wiley +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations
, 2014 We analyze the convergence of compressive sensing based sampling techniques for the efficient evaluation of functionals of solutions for a class of high-dimensional, affine-parametric, linear operator equations which depend on possibly infinitely many ...
Rauhut, Holger, Schwab, Christoph
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Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
International Journal for Numerical Methods in Fluids, EarlyView.A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley +1 more source
On the rough Gronwall lemma and its applications
, 2017 We present a rough path analog of the classical Gronwall Lemma introduced recently by A. Deya, M. Gubinelli, M. Hofmanov\'a, S. Tindel in [arXiv:1604.00437] and discuss two of its applications.
A Deya +7 more
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Effect of HBr on Explosion Limits of Stoichiometric Hydrogen‐oxygen Mixture
International Journal of Chemical Kinetics, EarlyView.ABSTRACT This work, based on numerical simulations, discusses the effect of HBr as an inhibitor on the explosion limit of stoichiometric hydrogen‐oxygen gas mixture in a closed spherical vessel. The numerical simulation solves the complete governing equations for mass, momentum, species and energy.
Chunkan Yu, Peter Glarborg
wiley +1 more source
Relaxation Methods for Mixed-Integer Optimal Control of Partial Differential Equations
, 2012 We consider integer-restricted optimal control of systems governed by abstract semilinear evolution equations. This includes the problem of optimal control design for certain distributed parameter systems endowed with multiple actuators, where the task ...
A. Bensoussan +29 more
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