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Numerical Analysis
This chapter brings into focus the art of numerical analysis. The applications cover quality control of experimental data, fitting of linear and...
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Algorithms for Numerical Analysis
Equation solving is one of the main building blocks for financial algorithms used in the analysis of options and financial derivatives. This happens...
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Solving Rician Data Analysis Problems: Theory and Numerical Modeling Using Computer Algebra Methods in Wolfram Mathematica
AbstractThis paper considers theoretical foundations and mathematical methods of data analysis under the conditions of the Rice statistical...
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Numerical Analysis: Algorithm Under the Rubric of Number
This chapter presents a very brief overview of the discipline of numerical analysis, which is now well established within mathematics, both pure and...
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Architecture of Advanced Numerical Analysis Systems Designing a Scientific Computing System using OCaml
This unique open access book applies the functional OCaml programming language to numerical or computational weighted data science, engineering, and...
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Numerical Analysis for Data Relationship
In recent years, a vast amount of data has been accumulated across various fields in industry and academia, and with the rise of artificial...
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Misalignments of Social and Numerical Identity—An Ontological Analysis
Numerical identity is the relation that an individual thing bears to itself and only itself, which is not dependent on any other object. However, in...
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Numerical Analysis of Pneumatic Regenerative Braking System
Abstract—Aimed at understanding the pneumatic regenerative braking system, one simulation model was established based on the basic parameters of the...
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Catalyst-ADIOS2: In Transit Analysis for Numerical Simulations Using Catalyst 2 API
In this article, we present a novel approach to bring in transit capabilities to numerical simulations which are already able to do in situ analysis...
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Elastic Shape Analysis of Surfaces with Second-Order Sobolev Metrics: A Comprehensive Numerical Framework
This paper introduces a set of numerical methods for Riemannian shape analysis of 3D surfaces within the setting of invariant (elastic) second-order...
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Discretizing Numerical Attributes: An Analysis of Human Perceptions
To partition numerical attributes, machine learning (ML) has used a variety of discretization approaches that partition the numerical attribute into...
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Numerical stability analysis of spatial-temporal fully discrete scheme for time-fractional delay Schrödinger equations
We consider the numerical stability problem for fractional delay Schrödinger equations involving a Caputo fractional derivative in time, which is...
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A high-order numerical scheme and its analysis for Caputo temporal-fractional Black-Scholes model: European double barrier knock-out option
The authors of Kaur and Natesan
2023 [ A novel numerical scheme for time-fractional Black-Scholes PDE governing European options in mathematical...
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Numerical Methods Using Kotlin For Data Science, Analysis, and Engineering
This in-depth guide covers a wide range of topics, including chapters on linear algebra, root finding, curve fitting, differentiation and...
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Concise Guide to Numerical Algorithmics The Foundations and Spirit of Scientific Computing
Numerical Algorithmic Science and Engineering (NAS&E), or more compactly, Numerical Algorithmics, is the theoretical and empirical study and the...
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Numerical Uncertainty of Convolutional Neural Networks Inference for Structural Brain MRI Analysis
This paper investigates the numerical uncertainty of Convolutional Neural Networks (CNNs) inference for structural brain MRI analysis. It applies...
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A Taxonomy of Numerical Problems
This chapter briefly surveys the variety of numerical problems that must be solved in practice. It employs a visual form of presentation that is...
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Modeling of dendritic solidification and numerical analysis of the phase-field approach to model complex morphologies in alloys
Dendrites are one of the most widely observed patterns in nature, and occur across a wide spectrum of physical phenomena—from snow flakes to river...
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Numerical Aspects of Hyperbolic Geometry
Hyperbolic geometry has recently found applications in social networks, machine learning and computational biology. With the increasing popularity,...
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Numerical analysis of a linearly backward Euler method with truncated Wiener process for a stochastic SIS model
The paper deals with the numerical positivity, convergence and dynamical behaviors (including extinction and persistence) for stochastic SIS model....
