A new study provides a rigorous theoretical and numerical analysis of the accuracy of the method of characteristics (MoC), a ...

The numerical integration of stiff equations is a challenging problem that needs to be approached by specialized numerical methods. Exponential integrators form a popular class of such methods since ...

Abstract: Matrix approximation methods have successfully produced efficient, low-complexity approximate transforms for the discrete cosine transforms and the discrete Fourier transforms. For the DFT ...

Abstract: Nystrom approximation is one of the most popular approximation methods to accelerate kernel analysis on largescale data sets. Nystrom employs one single landmark set to ¨ obtain eigenvectors ...

This paper presents an analysis of properties of two hybrid discretisation methods for Gaussian derivatives, based on convolutions with either the normalised sampled Gaussian kernel or the integrated ...

1 College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, China. 2 School of Statistics and Data Science, Jiangxi University of Finance and Economics, Nanchang, China.

ABSTRACT: Accurately approximating higher order derivatives is an inherently difficult problem. It is shown that a random variable shape parameter strategy can improve the accuracy of approximating ...

If the ‘That verification method isn’t working right now‘ message appears due to traffic issues, it should automatically be resolved after a certain period of time. In other cases, use these fixes: ...

Quantum computers, utilizing versatile qubits, are at the forefront of solving complex optimization problems like the traveling salesman dilemma, traditionally plagued by computational inefficiency.

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. As soon as an appropriate mathematical model is developed, it can ...