Results 81 to 90 of about 81,957 (247)

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

open access: yesInternational 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   +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

open access: yesJournal 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   +6 more
wiley   +1 more source

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

open access: yesInternational 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   +3 more
doaj   +1 more source

Probabilistic ODE Solvers with Runge-Kutta Means

open access: yes, 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   +2 more
core  

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

open access: yesMathematical 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   +4 more
wiley   +1 more source

Analytical Solutions for the Cardiac Extracellular‐Membrane‐Intracellular Model

open access: yesMathematical 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   +2 more
wiley   +1 more source

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

open access: yesAbstract 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   +3 more
doaj   +1 more source

Rayleigh-Plesset equation [PDF]

open access: yes, 2015
Tato bakalářská práce se zabývá numerickým řešením Rayleigh-Plessetovy rovnice. Jejím cílem je tuto rovnici odvodit a sestavit program, který by rovnici řešil metodami Runge-Kutta-Nyström a Runge-Kutta-Fehlberg.This bachelor´s thesis deals with numerical
Hátašová, Justýna
core  

Thermal Planar and Radial Free Jets for An Ostwald‐de Waele Fluid With Shear‐Rate Dependent Thermal Diffusivity

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The planar and radial thermal free jets for forced convection of a non‐Newtonian power‐law fluid are investigated. The thermal diffusivity is dependent on the shear‐rate and is not a constant. The flow in planar and radial thermal free jets is governed by the momentum, continuity and energy balance equations. In the stream‐function formulation,
Avnish Bhowan Magan, Rehana Naz
wiley   +1 more source

Stepsize Restrictions for Nonlinear Stability Properties of Neutral Delay Differential Equations

open access: yesAbstract and Applied Analysis, 2014
The present paper is concerned with the relationship between stepsize restriction and nonlinear stability of Runge-Kutta methods for delay differential equations.
Wei Gu, Ming Wang, Dongfang Li
doaj   +1 more source

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