Results 21 to 30 of about 328 (101)

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Approximate Reachability for Feedback Linearizable Systems

Optimal Control Applications and Methods, EarlyView.
The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu, Chris Manzie, Peter M. Dower   +2 more
wiley   +1 more source

Adaptive Methods for PDE-based Optimal Control with Pointwise Inequality Constraints

, 2010
This work is devoted to the development of efficient numerical methods for a certain class of PDE-based optimization problems. The optimization is constraint by an elliptic PDE.
Wollner, Winnifried
core   +1 more source

Micro‐Mechanism Informed Neural Networks for Process‐Property Prediction in Laser Powder Bed Fusion

Artificial Intelligence for Engineering, EarlyView.
Hard physics embedding, where neural networks learn residuals relative to analytical baselines, substantially outperforms soft loss‐function constraints for extrapolation in LPBF process–property prediction. Physics integration architecture determines generalization capability more than constraint quantity.
Yo‐Lun Yang
wiley   +1 more source

Cerebral oxygenation and skeletal muscle responses to time trial, maximal oxygen uptake and time to exhaustion exercise

Experimental Physiology, EarlyView.
Abstract This study investigated cerebral and neuromuscular responses to three exercise models: time trial (TT), maximal oxygen uptake (V̇O2max${{\dot{V}}_{{{{\mathrm{O}}}_2}{\mathrm{max}}}}$) and time to exhaustion (TTE). Fourteen participants completed the tests in the following order: V̇O2max${{\dot{V}}_{{{{\mathrm{O}}}_2}{\mathrm{max}}}}$, TT and ...
Caroline V. Robertson, Nicole T. Vargas, Tegan Hartmann, Frank E. Marino   +3 more
wiley   +1 more source

Numerical Methods for Stochastic Control Problems with Applications in Financial Mathematics

, 2022
This thesis considers classical methods to solve stochastic control problems and valuation problems from financial mathematics numerically. To this end, (linear) partial differential equations (PDEs) in non-divergence form or the optimality conditions ...
Blechschmidt, Jan
core  

Elucidating the cellular determinants of the end‐systolic pressure‐volume relationship of the heart via computational modelling

The Journal of Physiology, EarlyView.
Abstract figure legend Using a multiscale computational model of left ventricular electromechanics, we investigated how sarcomere dynamics influence the end‐systolic pressure‐volume (ESPV) relationship in ejecting beats compared to isovolumetric beats.
Francesco Regazzoni, Corrado Poggesi, Cecilia Ferrantini   +2 more
wiley   +1 more source

Mixed Isogeometric Methods for Hodge–Laplace Problems induced by Second-Order Hilbert Complexes [PDF]

Partial differential equations (PDEs) play a crucial role in mathematics and physics to describe numerous physical processes. In numerical computations within the scope of PDE problems, the transition from classical to weak solutions is often meaningful.
Arf, Jeremias Nathanael
core   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
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

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 804-839, July 2026.
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