Results 61 to 70 of about 5,348 (248)

Modulation instability, stochastic soliton dynamics, and analytical solutions in the Fokas-Lenells equation with quadratic-cubic nonlinearity

Ain Shams Engineering Journal
This study explores the stochastic dynamics of optical solitons in the Fokas-Lenells equation (FLE) with nonlinear chromatic dispersion and generalized quadratic-cubic self-phase modulation (SPM).
Yousef Alnafisah, Hamdy M. Ahmed, Wafaa B. Rabie   +2 more
doaj   +1 more source

Leveraging Artificial Intelligence and Large Language Models for Cancer Immunotherapy

Advanced Science, EarlyView.
Cancer immunotherapy faces challenges in predicting treatment responses and understanding resistance mechanisms. Artificial intelligence (AI) and machine learning (ML) offer powerful solutions for cancer immunotherapy in patient stratification, biomarker discovery, treatment strategy optimization, and foundation model development.
Xinchao Wu, Mengtao Sun, Lusheng Li, Jieqiong Wang, Shibiao Wan   +4 more
wiley   +1 more source

The Cauchy Problem for Nonlinear Higher Order Partial Differential Equations Using Projected Differential Transform Method

, 2023
This study applies the Projected Differential Transform Method (PDTM) to solve nonlinear higher-order partial differential equations (PDEs). The Projected Differential Transform (PDT) series solutions converge to exact solutions with relative ease ...
Kwaghkor, I. M., Orapine, H. O., Baidu, A. A.   +2 more
core   +2 more sources

A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations

, 2007
In this paper we consider the numerical solution of first-order Hamilton-Jacobi equations using the combination of a discontinuous Galerkin finite element method and an adaptive $r$-refinement (mesh movement) strategy.
MacKenzie, John, Nicola, Aurelian
core   +1 more source

Synchronization‐Dissipation in the Cardiorespiratory System

Advanced Science, EarlyView.
By modeling central nervous coupling and viscoelastic interactions in the cardiorespiratory system we show that synchronization produces a 10% gain in cardiac efficiency in humans. It is surmised that respiratory sinus arrhythmia improves cardiac pumping efficiency by reducing dynamic stress and power dissipation in the pulmonary vasculature.
Joshua R. Border, Alain Nogaret, Andrew Lefevre, Vishal Jain   +3 more
wiley   +1 more source

Towards the KPP--Problem and log t-Front Shift for Higher-Order Nonlinear PDEs III. Dispersion and Hyperbolic Equations

, 2012
25 pages, 19 ...
openaire   +2 more sources

Implementation of boundary conditions for optimized high-order compact schemes [PDF]

, 1997
The optimized high-order compact (OHOC) finite difference schemes, proposed as central schemes are used for aeroacoustic computations on interior nodes.
Kim, J.W., Lee, D.J.
core   +1 more source

Data‐Driven Modeling of Composition–Processing–Microstructure Relations for Recycled Aluminum Cast Alloys

Advanced Science, EarlyView.
Interpretable machine learning reveals how composition and processing govern the formation and microstructural burden of Fe‐rich intermetallic compounds in recycled Al–Si–Fe–Mn alloys. By separating morphology selection from morphology‐conditioned burden partitioning, this framework shows that identical Fe contents can yield different intermetallic ...
Jaemin Wang, Waleed Mohammed, Dierk Raabe   +2 more
wiley   +1 more source

A bounded upwinding scheme for computing convection-dominated transport problems

, 2012
A practical high resolution upwind differencing scheme for the numerical solution of convection-dominated transport problems is presented. The scheme is based on TVD and CBC stability criteria and is implemented in the context of the finite difference ...
McKee, Sean, Lima, G.A.B., Cuenca, R.G., de Queiroz, R. A. B., Oishi, C.M., Queiroz, R.A.B., Cuenca, R. G., Lima, G. A. B., Oishi, C. M., Ferreira, V. G., Ferreira, V.G., Oishi, C. M. [UNESP], Azevedo, J.L.F., Azevedo, J. L. F., McKee, S.   +14 more
core   +1 more source

Physics‐Constrained Constitutive Learning of Rate‐Limiting Timescales for Efficient Hydrogen‐Based Direct Reduction for Green Steel Making

Advanced Science, EarlyView.
A conversion‐resolved constitutive framework is developed for the hydrogen‐based direct reduction of iron oxide pellets. Effective reaction and transport timescales are inferred directly from measured trajectories and mapped against operating conditions, pellet architecture, and composition. The analysis reveals how late‐stage transport control emerges
Anurag Bajpai, Barak Ratzker, Pasquale Cavaliere, Dierk Raabe   +3 more
wiley   +1 more source