Results 61 to 70 of about 116,861 (304)
Solving the Kolmogorov PDE by Means of Deep Learning [PDF]
Journal of Scientific Computing, 2018 Stochastic differential equations (SDEs) and the Kolmogorov partial differential equations (PDEs) associated to them have been widely used in models from engineering, finance, and the natural sciences.
C. Beck +4 more
semanticscholar +1 more source
PDE-Controller: LLMs for Autoformalization and Reasoning of PDEs
CoRRWhile recent AI-for-math has made strides in pure mathematics, areas of applied mathematics, particularly PDEs, remain underexplored despite their significant real-world applications. We present PDE-Controller, a framework that enables large language models (LLMs) to control systems governed by partial differential equations (PDEs).
Mauricio Soroco +5 more
openaire +3 more sources
Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies
Advanced Functional Materials, EarlyView.The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley +1 more source
Angewandte Chemie, EarlyView.Cyclic adenosine monophosphate (cAMP) is a key cellular second messenger. Adenylyl cyclase converts emissive isomorphic nucleoside triphosphates into fluorescent cAMPs. cthAMP displays unusually high brightness compared to thATP, its precursor, enabling real‐time monitoring of enzymatic reactions.
Deyuan Cong +3 more
wiley +2 more sources
Agronomy, 2020 Pasture nutritive value is economically important in south-eastern Australian dairy production systems, yet measurement of nutritive characteristics in pasture cultivar evaluation trials is not routinely undertaken, primarily due to cost.
Clare Leddin +2 more
doaj +1 more source
LYAPUNOV EXPONENTS OF THE KURAMOTO–SIVASHINSKY PDE [PDF]
The ANZIAM Journal, 2019 The Kuramoto–Sivashinsky equation is a prototypical chaotic nonlinear partial differential equation (PDE) in which the size of the spatial domain plays the role of a bifurcation parameter.
R. Edson +3 more
semanticscholar +1 more source
Advanced Functional Materials, EarlyView.Ferroelectric nanoclusters create local internal fields in a normally non‐switchable polar film because of polarization mismatch at their interfaces. That field opposes polarization in the regions with larger polarization and reinforces polarization in the regions with smaller polarization.
Anna N. Morozovska +5 more
wiley +1 more source
Nature of the inhibitory effect of collagenase on phosphodiesterase activity.
Journal of Lipid Research, 1985 The level of phosphodiesterase (PDE) activity is lower in collagenase-isolated human fat cells than in adipose tissue fragments. The inhibition is not species-specific since collagenase also inhibits PDE in rat adipose tissue and bovine heart.
P Engfeldt, P Arner, J Ostman
doaj +1 more source
Solving parametric PDE problems with artificial neural networks
European journal of applied mathematics, 2017 The curse of dimensionality is commonly encountered in numerical partial differential equations (PDE), especially when uncertainties have to be modelled into the equations as random coefficients. However, very often the variability of physical quantities
Y. Khoo, Jianfeng Lu, Lexing Ying
semanticscholar +1 more source
Output Feedback Boundary Control of a Heat PDE Sandwiched Between Two ODEs [PDF]
IEEE Transactions on Automatic Control, 2019 We present designs for exponential stabilization of an ordinary differential equation (ODE)-heat partial differential equation (PDE)-ODE coupled system where the control actuation only acts in one ODE.
Ji Wang, M. Krstić
semanticscholar +1 more source