Results 81 to 90 of about 82,462 (247)
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 +2 more
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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 +2 more
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Symbolic Derivation of Runge-Kutta Methods
Journal of Symbolic Computation, 1994 This paper is concerned with a symbolic Mathematica package Butcher.m which automates the derivation of order conditions of Runge-Kutta (RK) methods for the numerical solution of ordinary differential equations. It must be noticed that there is a first version of Butcher.m written by Keiper around 1988.
openaire +2 more sources
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 +6 more
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
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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 +4 more
wiley +1 more source
Mathematical 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
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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 +3 more
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Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
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Generalized disks of contractivity for explicit and implicit Runge-Kutta methods [PDF]
The A-contractivity of Runge-Kutta methods with respect to an inner product norm was investigated thoroughly by Butcher and Burrage (who used the term B-stability).
Dahlquist, G., Jeltsch, R.
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