Practical unstructured splines: Algorithms, multi-patch spline spaces, and some applications to numerical analysis

Frambati, Stefano; Barucq, Hélène; Calandra, Henri; Diaz, Julien

doi:10.1016/j.jcp.2022.111625

Cited by 3 publications

(1 citation statement)

References 49 publications

(63 reference statements)

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“…Numerical analysis is the study and analysis of numerical computational methods and their theory for solving mathematical computational problems by computer, and it is an important branch of mathematics [14]. Numerical analysis takes the theory and methods of solving mathematical problems by digital computers as the object of study and is the main part of computational mathematics.…”

Section: Numerical Analysismentioning

confidence: 99%

Analysis of supply chain finance risk assessment based on numerical analysis algorithm

Li,

Dong

2023

3C Empresa

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To promote the coordination and stability of supply chain finance and improve the financing environment of small and medium-sized enterprises, this paper designs a supply chain finance risk assessment and analysis platform. Combining the characteristics of a large amount of risk assessment data, a numerical analysis algorithm is introduced in the process of platform design, and the extrapolation method in the numerical analysis algorithm is used to calculate the risk assessment- related data. To make the calculation faster and the data more accurate, the central difference quotient extrapolation is used to accelerate and a downtime mechanism is introduced. Firstly, the approximation formula for the calculation is constructed, followed by the construction of a sequence of variable steps to obtain a sequence of approximations. Finally, the obtained approximate sequence values are used to construct an interpolating polynomial, and the constant term of the polynomial, which is the final risk factor, is obtained through continuous iteration. To verify the effectiveness of the numerical analysis-based algorithm in supply chain financial risk assessment, the simulation results show that the risk assessment accuracy of the numerical analysis-based supply chain financial risk assessment platform is as high as 99% and the time required is 17 seconds higher than other assessment models, which verifies that the numerical analysis algorithm can improve the accuracy and rapidity of risk assessment.

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Section: Numerical Analysismentioning

confidence: 99%