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Elements of computer modelling: 12 studies for beginners. Study 2: Main stages of modelling
Science Education QuarterlyThis paper is a continuation of our foundational series on computer modelling [1] and presents the main stages of the modelling process, from initial problem formulation through computational experimentation to model validation.
Illia O. Teplytskyi, Serhiy O. Semerikov
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People and Nature, EarlyView.Abstract The first edition of the Ordnance Survey's 1:2500 County Series is marked with treed areas, such as woodlands and orchards, and, remarkably, freestanding trees. Consequently, it is an unparalleled source of information on the distribution of trees across Britain in the mid‐late nineteenth century, when the maps were first surveyed. In order to
Toby Pillatt, William A. P. Smith
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Going Deeper than Supervised Discretisation in Processing of Stylometric Features [PDF]
, 2023 Rough set theory is employed in cases where data are incomplete and inconsistent and an ap- proximation of concepts is needed. The classical approach works for discrete data and allows only nominal classification.
Stanczyk, Urszula +2 more
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Does All or Nothing Always Work Best? In Search of Advantageous Representation of Attributes
Applied SciencesDiscretisation is a processing step often included in the preliminary data preparation. Typically, when the input features have continuous domains and their discrete forms are needed, all are translated into categorical type at the same time, before data
Urszula Stańczyk, Grzegorz Baron
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Advanced Modeling and Simulation in Engineering Sciences, 2018 The principal aim of this work is to provide an adapted numerical scheme for the approximation of elastic wave propagation in incompressible solids. We rely on high-order conforming finite element with mass lumping for space discretisation and implicit ...
Federica Caforio, Sébastien Imperiale
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Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size
Axioms, 2023 Dynamical properties of numerically approximated discrete systems may become inconsistent with those of the corresponding continuous-time system. We present a qualitative analysis of the dynamical properties of two-species Lotka-Volterra and Ricker-type ...
Shamika Kekulthotuwage Don +3 more
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Quarterly Journal of the Royal Meteorological Society, EarlyView.Assimilation of AMSU‐A all‐sky observations can be increased up to fivefold if spatial observation‐error correlations are accounted for properly. New correlation estimates derived using data from ECMWF and the UK Met Office reveal that correlation length‐scales are between 75 and 150 km for AMSU‐A channels peaking in the troposphere. This is attributed
Rishabh Bhatt +9 more
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Discretisation of an infinite delay equation [PDF]
Mathematics of Computation, 2006 The paper considers delay differential equations with an infinite number of delays, tending to infinity: \[ \dot x(t)=ax(t)+\sum_{k=1}^{\infty}b_kx(t-\tau_k), \] where \(\tau_k\to\infty\) for \(k\to\infty\). The sequence \(b_k\) is assumed to be in \(l^1\) and the initial value (a function on \((-\infty,0]\)) is continuous but not necessary bounded or ...
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Quarterly Journal of the Royal Meteorological Society, EarlyView.An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida +3 more
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Slepian Scale-Discretised Wavelets on the Sphere
IEEE Transactions on Signal Processing, 2022 This work presents the construction of a novel spherical wavelet basis designed for incomplete spherical datasets, i.e. datasets which are missing in a particular region of the sphere. The eigenfunctions of the Slepian spatial-spectral concentration problem (the Slepian functions) are a set of orthogonal basis functions which are more concentrated ...
Patrick J. Roddy, Jason D. McEwen
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