Results 81 to 90 of about 32,630,588 (240)
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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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
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
wiley +1 more source
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
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
doaj +1 more source
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
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 +3 more
doaj +1 more source
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
wiley +1 more source