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

