Results 71 to 80 of about 32,087 (238)
A Hybrid Semi‐Inverse Variational and Machine Learning Approach for the Schrödinger Equation
A hybrid semi‐inverse variational and machine‐learning framework is presented for solving the Schrödinger equation with complex quantum potentials. Physics‐based variational solutions generate high‐quality training data, enabling Random Forest and Neural Network models to deliver near‐perfect energy predictions.
Khalid Reggab +5 more
wiley +1 more source
Evaluating a double integral using Euler's method and Richardson extrapolation
We transform a double integral into a second-order initial value problem, which we solve using Euler's method and Richardson extrapolation. For an example we consider, we achieve accuracy close to machine precision (~10-13).
Justin Steven Calder Prentice
doaj +3 more sources
I present and discuss two drafts of remarks prepared by the mathematician Hermann Minkowski (1864–1909). They were composed in December 1907 while preparing his paper on the “Basic Equations of Electromagnetic Processes in Moving Bodies” for publication in the Proceedings of the Göttingen Academy of Sciences.
Tilman Sauer
wiley +1 more source
Three Spreadsheet Models Of A Simple Pendulum
The paper gives three spreadsheet models of simple pendulum motion. In two of them, the graph of the pendulum angle is drawn upon the exact integral solution using numeric integration – the simpler model only uses spreadsheet functions, the general model
Jan Benacka
doaj +2 more sources
Evaluation of Some Integrals Following from $L_1$, the Constant of the Asymptotic Expansion of $\ln \Gamma_1 (x+1)$, Originating from Physics (QED) [PDF]
Comparison of three different regularization methods of calculating the one-loop effective Heisenberg-Euler Lagrangian of quantum electro-dynamics (QED) is employed to derive some interesting integrals involving the asymptotic expansion of $\ln \Gamma_1 ...
Douwes, M.S., Staay, M., van der
core +2 more sources
Multi‐Scale Hybrid Modeling to Predict Cell Culture Process With Metabolic Phase Transitions
ABSTRACT To advance understanding of cellular metabolism and reduce batch‐to‐batch variability in cell culture processes, this study introduces a multi‐scale hybrid modeling framework designed to simulate and predict the dynamic behavior of CHO cell cultures undergoing metabolic phase transitions.
Keqi Wang, Sarah W. Harcum, Wei Xie
wiley +1 more source
Buckling of a structure made of a new eco-composite material
This paper reports the experimental results of a study investigating a new eco-composite material made from 100% recycled material. Tensile and density tests were conducted. A numerical model of a one-sided fixed beam was designed by the finite element
Jarosław GAWRYLUK +2 more
doaj +1 more source
On the Prediction of pDNA Productivity Across Diverse Bioprocesses Using Ensemble Hybrid Models
ABSTRACT The global demand for plasmid DNA (pDNA) is rapidly increasing due to its key role in the manufacture of mRNA vaccines and advanced therapy medicinal products (ATMPs). However, the reliance on suboptimal batch and/or fed‐batch processes, as well as the diversity and increasing complexity of plasmid constructs pose significant challenges during
Nikolaos Stratis +2 more
wiley +1 more source
ABSTRACT Reinforcement learning (RL) has been used to control a wide range of dynamic processes, especially ones that are too complex to model well or have stochastic environmental perturbations. Fed‐batch fermentations are subject to changes in starting cell growth rates and process variations that can affect cell growth and secreted target production.
Sai Harish Uthravalli +3 more
wiley +1 more source
THE ELASTIC BUCKLING BEHAVIOR OF (5056-H18)ALALLOY COLUMNS UNDER VARIABLE LOAD
The research deals the evaluation of buckling behavior for 5056-H18 Al alloy columns under variable loads and studies the effect of initial deflection on the critical buckling load.
Ali Y Khenyab +2 more
doaj +1 more source

