Results 81 to 90 of about 32,424,344 (291)

Polymer Stress‐Tensor Calculation for a Laminar Submerged Viscoelastic Jet Flow Using Different Constitutive Models

International Journal for Numerical Methods in Fluids, EarlyView.
This study presents an efficient method to compute polymer stress‐tensor components in viscoelastic laminar jet flows using models such as Oldroyd‐B, Giesekus, PTT, and FENE. By assuming a stationary and parallel flow, the methodology significantly reduces computational cost.
Rafael de Lima Sterza, Leandro Franco de Souza, Marcio Teixeira de Mendonca, Analice Costacurta Brandi   +3 more
wiley   +1 more source

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

Implicit Runge-Kutta Methods for Accelerated Unconstrained Convex Optimization

IEEE Access, 2020
Accelerated gradient methods have the potential of achieving optimal convergence rates and have successfully been used in many practical applications. Despite this fact, the rationale underlying these accelerated methods remain elusive.
Ruijuan Chen, Xiuting Li
doaj   +1 more source

Performance Assessment of the Immersed Boundary Method in the Framework of the Moment Representation Lattice Boltzmann Method

International Journal for Numerical Methods in Fluids, EarlyView.
The immersed boundary method (IBM) was coupled with the moment representation lattice Boltzmann method (MR‐LBM), reducing bandwidth requirements compared to population‐based LBM formulations. A systematic assessment of IBM parameters was conducted to quantify their effect on computational performance.
Marco A. Ferrari, Ricardo de Souza, Admilson T. Franco   +2 more
wiley   +1 more source

Mixed‐mode membrane chromatography: mechanistic‐modeling‐based optimization and scale‐up of antibody charge variant separation using a novel membrane adsorber

Journal of Chemical Technology &Biotechnology, EarlyView.
Abstract BACKGROUND Efficient manufacturing of complex biopharmaceuticals increasingly relies on innovative downstream processing strategies. Membrane chromatography offers a promising alternative to resin‐based systems by enabling high‐throughput separations at elevated flow rates. Typically used in flow‐through mode, its industrial applications range
Jan Hedrich, Rita Steigmiller, Viktor Simaev, Romas Skudas, Michael Schulte, Mathias Hafner, Christian Frech   +6 more
wiley   +1 more source

Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations

International Journal of Differential Equations, 2018
This paper is concerned with stability analysis of additive Runge-Kutta methods for delay-integro-differential equations. We show that if the additive Runge-Kutta methods are algebraically stable, the perturbations of the numerical solutions are ...
Hongyu Qin, Zhiyong Wang, Fumin Zhu, Jinming Wen   +3 more
doaj   +1 more source

Probabilistic ODE Solvers with Runge-Kutta Means

, 2014
Runge-Kutta methods are the classic family of solvers for ordinary differential equations (ODEs), and the basis for the state of the art. Like most numerical methods, they return point estimates.
Duvenaud, David, Hennig, Philipp, Schober, Michael   +2 more
core  

Investigating Tuberculosis Dynamics Under Various Control Strategies: A Comprehensive Analysis Using Real Statistical Data

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat, Mahmoud H. DarAssi, Irfan Ahmad, Muhammad Altaf Khan, Reem Algethamie   +4 more
wiley   +1 more source

Analytical Solutions for the Cardiac Extracellular‐Membrane‐Intracellular Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The cardiac extracellular‐membrane‐intracellular (EMI) model is a novel mathematical framework for cardiac electrophysiology simulations. The cardiac EMI model provides a more detailed description of the heart's electrical activity compared to traditional monodomain and bidomain models, potentially making it better‐suited for understanding the
Carlos Ballesteros, Alexei Cheviakov, Raymond J. Spiteri   +2 more
wiley   +1 more source

Semi Implicit Hybrid Methods with Higher Order Dispersion for Solving Oscillatory Problems

Abstract and Applied Analysis, 2013
We constructed three two-step semi-implicit hybrid methods (SIHMs) for solving oscillatory second order ordinary differential equations (ODEs). The first two methods are three-stage fourth-order and three-stage fifth-order with dispersion order six and ...
S. Z. Ahmad, F. Ismail, N. Senu, M. Suleiman   +3 more
doaj   +1 more source