25 papers · ranked by Valyu relevance
Yongho Kim, Yongho Choi
Simulation speed depends on code structures, hence it is crucial how to build a fast algorithm. We solve the Allen–Cahn equation by an explicit finite difference method, so it requires grid calculations implemented by many for-loops in the simulation code. In terms of programming, many for-loops make the simulation…
Mirko Zanon, Davide Potrich, Maria Bortot, Giorgio Vallortigara
Several studies have suggested that vertebrate and invertebrate species may possess a number sense, i.e. an ability to process in a non-symbolic and non-verbal way the numerousness of a set of items. However, this hypothesis has been challenged by the presence of other non-numerical continuous physical variables, that…
Robert Meyer, Klaus Obermayer
"pypet" (python parameter exploration toolkit [1]) is a new multi-platform python toolkit for management of simulations and storage of numerical data. Exploring or sampling the space of model parameters is one key aspect of simulations and numerical experiments. pypet was especially designed to allow easy and arbitrary…
P.T. Brady, D. Livescu
Stable and conservative numerical boundary schemes, for both compact and explicit (central) finite differences require a number of parameters that must be tuned for stability. Values of these coefficients for 4th, 6th, and 8th boundary schemes are given in this article. The stability of the schemes is demonstrated…
Suruchi Singh, Swarn Singh, Anu Aggarwal
The current research article proposes an approximate solution of the fractional diffusion wave equation (FDWE) by using a new collocation method based on the cubic B-splines. The fractional derivative in the time direction is considered in Caputo form. The theoretical research of the proposed algorithm is discussed…
Arnold R. Kochari
It is becoming increasingly popular and straightforward to collect data in cognitive psychology through web-based studies. In this paper, I review issues around web-based data collection for the purpose of numerical cognition research. Provided that the desired type of data can be collected through a web-browser, such…
Dagmar Zakova, Peter Frolkovic
This study investigates numerical methods to solve nonlinear transport problems characterized by various sorption isotherms with a focus on the Freundlich type of isotherms. We describe and compare second order accurate numerical schemes, focusing on implicit methods, to effectively model transport phenomena without…
Foster Morrison
All but a few digital computers used for scientific computations have supported floating-point and digital arithmetic of rather limited numerical precision. The underlying assumptions were that the systems being studied were basically deterministic and of limited complexity. The ideal scientific paradigm was the orbits…
Fernando Chueca-Díez, Alfonso M. Gañán‐Calvo
A highly recurrent traditional bottleneck in applied mathematics, for which the most popular codes (Mathematica and Matlab) do not offer a solution, is to find all the real solutions of a system of N nonlinear equations in a certain finite domain of the N-dimensional space of variables. We present an algorithm of…
Elena Kerjean, Scarlett R. Howard, Aurore Avarguès-Weber
Despite growing evidence that many animals can evaluate quantities, the ecological relevance of numerical cognition remains debated, particularly outside vertebrates. Would individuals still rely on numerousness if less computationally demanding cues, visual features extracted at the early stage of visual processing…
Authors not listed
As a prove of concept for experimental geochemistry, an advanced 3D numerical framework, here and after called Digital Twin (DT), of a diffusion experiment conducted at a synchrotron beamline, has been implemented using in-situ measurements data, physics-based modelling, a machine learning (ML) model, and parameter…
Fabrizio Donzelli, Alexander Bihlo, Mauricio Kischinhevsky, Colin G. Farquharson
'Colin G. Farquharson'] In this paper, we report the advantages of using a stochastic algorithm in the context of mineral exploration based on gravity measurements. This approach has the advantage over deterministic methods in that it allows one to find the solution of the Poisson equation in specified, isolated points…
Annamaria Porru, Lucia Ronconi, Daniela Lucangeli, Lucia Regolin + 2 more
Numerical and spatial representations are intertwined as in the Mental Number Line, where smaller numbers are on the left and larger numbers on the right. This relationship has been repeatedly demonstrated with various experimental approaches, such as the line bisection task. Spatial accuracy appears to be…
M. N. Hudha, Md. Jahid Hasan, T. Bairagi, A. K. Azad + 2 more
'Ghulam Rasool'] The objective of the study is to investigate the fluid flow and heat transfer characteristics applying Artificial Neural Networks (ANN) analysis in triangular-shaped cavities for the analysis of magnetohydrodynamics (MHD) mixed convection with varying fluid velocity of water/Al2O3 nanofluid. No study…
Kevin Maik Jablonka, Michaël Zasso, Luc Patiny, Nicola Marzari + 3 more
Nowadays, computer simulations and experiments are closely interlocked. However, the data and analysis workflows are often barred into "silos" of knowledge — even for routine simulations. Here, we show how a typical electronic laboratory notebook (ELN) environment can be seamlessly integrated with a computational…
Ronald F. Boisvert, Michael J. Donahue, Daniel W. Lozier, Robert McMichael + 1 more
'Robert McMichael' 'Bert W. Rust'] In this paper we describe the role that mathematics plays in measurement science at NIST. We first survey the history behind NIST’s current work in this area, starting with the NBS Math Tables project of the 1930s. We then provide examples of more recent efforts in the application of…
Authors not listed
Experimental design plays an important role in efficiently acquiring informative data for system characterization and deriving robust conclusions under resource limitations. Recent advancements in high-throughput experimentation coupled with machine learning have notably improved experimental procedures. While Bayesian…
Martin Karp, Ronith Stanly, Timofey Mukha, Luca Galimberti + 11 more
Martin Karp a , Ronith Stanly a , Timofey Mukha b , Luca Galimbertib,c, Siavash Toosi d , Hang Song e , Lisandro Dalcin b , Saleh Rezaeiravesh f , Niclas Jansson a , Stefano Markidis a , Matteo Parsani b , Sanjeeb Bose e , Sanjiva Lele e , Philipp Schlattera,d
Koki Ide, Tetsuro Tsuji, Takayuki Suzuki, Kenji Setoura
Microscale thermophoresis (MST) has garnered significant attention as a manipulation method for chemical species ranging from nanometers to micrometers in liquids. Despite the substantial increase in experimental reports on MST, a comprehensive theoretical model remains elusive due to its intricate mechanism.…
Daniel Sacristán, Sebastian Jenderny, Philipp Hövel, Christian Albers + 2 more
This work presents a digital twin of the nematode Caenorhabditis elegans (C. elegans), an organism whose biology has been extensively studied. The digital twin can emulate neuronal activity and the corresponding muscle activity, and performs basic locomotion movement. The underlying mathematical model of C. elegans can…
Sven Köppel, Bernd Ulmann, Lars Heimann, Dirk Killat
Analog computers can be revived as a feasible technology platform for low precision, energy efficient and fast computing. We justify this statement by measuring the performance of a modern analog computer and comparing it with that of traditional digital processors. General statements are made about the solution of…
Alptekin Celik, Christian Bonten, Riccardo Togni, Christoph Kloss + 1 more
'Christoph Goniva'] Existing three-dimensional modeling approaches to single-screw extrusion can be classified according to the process sections. The discrete element method (DEM) allows describing solids transport in the feed section. The melt flow in the melt section can be calculated by means of computational fluid…
Avinash Vaidheeswaran, Cheng Li, Huda Ashfaq, Xiongjun Wu + 2 more
Bubbling fluidization experiments were performed in three cylindrical columns having internal diameters of 2.5, 4 and 6 inches. Glass particles having a sauter mean diameter of 332 microns were used, and the operating conditions were held constant in all the units. Statistics of differential pressure and interface…
George Dimitriadis, Ella Svahn, Andrew MacAskill, Athena Akrami
To realise a research project idea, an experimenter faces a series of conflicting design and implementation considerations, regarding both its hardware and software components. For instance, the ease of implementation, in time and expertise, should be balanced against the ease of future reconfigurability and number of…
Authors not listed
Deriving versatile and robust mechanistic models from experimental data is a key challenge in engineering and natural sciences. This is especially true in chemical reaction engineering, where reactor manufacturers and operators increasingly pursue the development and maintenance of digital twins that rely on frequent…