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Synthesis of Silver Nanostructures by Multistep Methods [PDF]
Sensors, 2014 The shape of plasmonic nanostructures such as silver and gold is vital to their physical and chemical properties and potential applications. Recently, preparation of complex nanostructures with rich function by chemical multistep methods is the hotspot ...
Tong Zhang +3 more
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Monotonicity-Preserving Linear Multistep Methods [PDF]
SIAM Journal on Numerical Analysis, 2003 The authors consider several linear multistep methods for ordinary differential equations and provide an analysis of their monotonicity properties, which mainly include positivity and the diminishing of total variation. It is shown that suitable starting procedures allow for statements on monotonicity for important classes of methods not covered by ...
Willem Hundsdörfer +2 more
exaly +3 more sources
Interval versions of Milne’s multistep methods [PDF]
Numerical Algorithms, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malgorzata Jankowska +1 more
exaly +4 more sources
Multivalue Collocation Methods for Ordinary and Fractional Differential Equations
Mathematics, 2022 The present paper illustrates some classes of multivalue methods for the numerical solution of ordinary and fractional differential equations. In particular, it focuses on two-step and mixed collocation methods, Nordsieck GLM collocation methods for ...
Angelamaria Cardone +3 more
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Semi-Implicit and Semi-Explicit Adams-Bashforth-Moulton Methods
Mathematics, 2020 Multistep integration methods are widespread in the simulation of high-dimensional dynamical systems due to their low computational costs. However, the stability of these methods decreases with the increase of the accuracy order, so there is a known room
Aleksandra Tutueva +2 more
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Mathematics, 2021 In this paper, a symmetric eight-step predictor method (explicit) of 10th order is presented for the numerical integration of IVPs of second-order ordinary differential equations. This scheme has variable coefficients and can be used as a predictor stage
Ali Shokri +4 more
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Semi-Implicit Multistep Extrapolation ODE Solvers
Mathematics, 2020 Multistep methods for the numerical solution of ordinary differential equations are an important class of applied mathematical techniques. This paper is motivated by recently reported advances in semi-implicit numerical integration methods, multistep and
Denis Butusov +4 more
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Exponential Multistep Methods for Stiff Delay Differential Equations
Axioms, 2022 Stiff delay differential equations are frequently utilized in practice, but their numerical simulations are difficult due to the complicated interaction between the stiff and delay terms.
Rui Zhan +3 more
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A Multistep Frank-Wolfe Method
CoRR, 2022 12 pages, Continuous time methods for machine learning International Conference on Machine Learning Workshop, Baltimore, Maryland, USA, 2022.
Zhaoyue Chen, Yifan Sun
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Mathematics, 2020 In the recent literature, some fractional one-point Newton-type methods have been proposed in order to find roots of nonlinear equations using fractional derivatives.
Giro Candelario +2 more
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