24 papers · ranked by Valyu relevance
Davoud Mirzaei
| 4 | 2 Davoud Mirzaei 0 2 Uppsala University c e D June 10, 2024 7 2 Contents O] H 1 What is scientific computing? 1 h. 1.1 Computational simulation 2 at m 2 Sources of approximation 4 [ 2.1 Absolute and relative errors 7 v1 8 3 Computer representation of numbers 7 5 9 3.1 Fixed-point representation of numbers 8 9 1…
Shunsuke Kobayashi, Ryuichi Tarumi
This study undertakes the mathematical modelling and numerical analysis of dislocations within the framework of differential geometry. The fundamental configurations, i.e. reference, intermediate and current configurations, are expressed as the Riemann–Cartan manifold, which equips the Riemannian metric and…
Davoud Mirzaei
Contents 1 An introduction to ODEs 1 1.1 Modelling with ODEs: a funny example . . . . . . . . . . . . . . . . . . . 4 1.2 Higher order ODEs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.3 First order system of ODEs . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.4 Stability of solutions . .…
Guoliang He, Yong Zhang, Serge M. Prudhomme
This paper proves the optimal estimations of a low-order spatial-temporal fully discrete method for the non-stationary Navier-Stokes Problem. In this paper, the semi-implicit scheme based on Euler method is adopted for time discretization, while the special finite volume scheme is adopted for space discretization.…
James M. Osborne
In recent years, multi–cellular models, where cells are represented as individual interacting entities, are becoming ever popular. This has led to a proliferation of novel methods and simulation tools. The first aim of this paper is to review the numerical methods utilised by multi–cellular modelling tools and to…
Dmitry Kobylkov, Uwe Mayer, Mirko Zanon, Giorgio Vallortigara
Numerical cognition is ubiquitous in the animal kingdom. Domestic chicks are a widely used developmental model for studying numerical cognition. Soon after hatching, chicks can perform sophisticated numerical tasks. Nevertheless, the neural basis of their numerical abilities has remained unknown. Here, we describe for…
Wojciech Wawrzynski
Each Duffing equation has an unstable solution area with a boundary, which is also a line of bifurcation. Generally, in a system that can be modeled by the Duffing equation, bifurcations can occur at frequencies lower than the origin point frequency of the unstable solution area for a softening system and at higher…
Shahanaz Parvin, Siti Suzilliana Putri Mohamed Isa, Fuad S. Al- Duais, Syed M. Hussain + 4 more
'Syed M. Hussain' 'Wasim Jamshed' 'Rabia Safdar' 'Mohamed R. Eid' 'Oluwole Daniel Makinde'] A mathematical model of 2D-double diffusive layer flow model of boundary in MHD Maxwell fluid created by a sloping slope surface is constructed in this paper. The numerical findings of non-Newtonian fluid are important to the…
Augusto Badke Neto, Webe João Mansur, Walnório Graça Ferreira
This work presents a new method, the SOR_FEM, spurious oscillation reduction-FEM, that uses analytical solutions of simple problems to find numerical solutions of more complex problems to reduce the spurious oscillations that occur due to solution discontinuity. With the proposed method it is possible to find numerical…
Authors not listed
The present study investigates the transient 3D numerical prediction of the significance of passive control techniques, using triangular and rectangular span-wise pimples, placed at cambered section at the location 32% chord length from of the nose of the hydrofoil, and combined with a modified finite trailing edge…
Alireza Karami, Elisa Castaldi, Evelyn Eger, Martin Hebart + 1 more
Humans can estimate the number of objects in a scene within a fraction of a second, suggesting that numerosity is encoded rapidly and directly by the visual system. Yet how this encoding unfolds over time and interacts with other visual features remains unclear. Here, we combined magnetoencephalography (MEG) with…
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…
Stanislav Semenov
We introduce Wave Arithmetic, a smooth analytical framework in which natural, integer, and rational numbers are represented not as discrete entities, but as integrals of smooth, compactly supported or periodic kernel functions. In this formulation, each number arises as the accumulated amplitude of a structured…
Authors not listed
Moving bed reactors (MBRs) are widely used in various industrial processes, making the development of mathematical models crucial for their design, optimization, and control. This study presents a semi-analytical solution (SAS) for a lumped parameter kinetic and heat transfer model of a tubular MBR, where a first-order…
Vagelis Plevris, Afaq Ahmad
Part 2 -- Plane Trusses Authors: ['Vagelis Plevris' 'Afaq Ahmad'] Abstract. This study extends the use of symbolic computation in Matrix Structural Analysis (MSA) to plane (2D) trusses, building on previous work that focused on continuous beams. An open-source MATLAB program, hosted on GitHub, was developed to perform…
Majeed A. Yousif, Faraidun K. Hamasalh, Ahmad Zeeshan, Mohamed Abdelwahed + 1 more
'Mohamed Abdelwahed' 'Muhammad Mubashir Bhatti'] This research presents a novel conformable-Caputo fractional non-polynomial spline method for solving the time-fractional Korteweg-de Vries (KdV) equation. Emphasizing numerical analysis and algorithm development, the method offers enhanced precision and modeling…
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…
Jaroslav Rojíček, Jakub Cienciala, Martin Fusek
This article explores the structural identifiability of parameters within non-linear physical models, focussing specifically on the Anand material model. The proposed procedure is structured in two key steps: first, a local analysis identifies the most suitable parameters for testing. Subsequently, these selected…
Alireza Karami, Elisa Castaldi, Evelyn Eger, Manuela Piazza
Visual numerosity, a feature of visual sets traditionally associated with the parietal cortex, has recently been suggested to be encoded in a broader range of cortical regions, including early visual and associative cortices of both streams. However, a clear picture of how numerosity information is represented…
Jinxing Liu, Muhammad Nadeem, M. S. Osman, Yahya Alsayaad
Many scientific phenomena are linked to wave problems. This paper presents an effective and suitable technique for generating approximation solutions to multi-dimensional problems associated with wave propagation. We adopt a new iterative strategy to reduce the numerical work with minimum time efficiency compared to…
Authors not listed
Recent advances in artificial intelligence have significantly improved spectral data analysis. In this study, we used unsupervised machine learning to classify chemical compounds based on infrared (IR) spectral images, without relying on prior chemical knowledge. The potential of machine learning for chemical…
Vicente Alejandro Aguilera González, Gizem Cetin, Stephanie Zika, Antonia Schulz + 3 more
The visual number form areas (here referred to as ITG-math) have gained recent attention as a neural substrate of mathematical cognition. Yet, the function of these regions remains debated with some research suggesting selectivity for digits and others suggesting a visual stimulus-independent role in mathematical…
Authors not listed
Cavitation, a transient and dynamic phenomenon, significantly impacts the characteristics and performance of hydrofoils across various applications, necessitating effective passive control strategies. This study employs transient numerical simulations to investigate the effectiveness of passive controllers of varying…
Oliver Lee, Malte Gather, Eli Zysman-Colman
We describe a new tool for the efficient management of computational chemistry. Digichem is a program that automates and simplifies nearly the entire computational pipeline, including large-scale batch submission of calculations, analysis and results parsing, the generation of 3D density plots and 2D graphs of…