This project explores and implements a wide range of classical and advanced techniques in the field of numerical analysis and differential equations, combining symbolic computation, custom numerical ...
Numerical computation and mathematical software form the backbone of modern scientific inquiry, facilitating the approximation of real numbers, the solution of complex mathematical models, and the ...
This Autumn School 2025 is part of the Research Semester Programme "Bridging Numerical Analysis and Scientific Machine Learning: Advances and Applications." Over the course of five days, five ...
A new method is presented by means of the theory of reproducing kernel space and finite difference method, to calculate Euler system of equations in this paper. The results show that the method has ...
Numerical-Computation/ ├── README.md ├── src/ │ ├── linear_algebra_toolkit/ │ │ ├── eigenvalue_algorithms ...
This is a preview. Log in through your library . Abstract The paper deals with a numerical method for solving nonlinear integro-parabolic problems of Fredholm type. A monotone iterative method, based ...
ABSTRACT: This study presents a comprehensive numerical investigation of fourth-order nonlinear boundary value problems (BVPs) using an efficient and accurate computational approach. The present work ...
In this paper we introduce two methods for the efficient and accurate numerical solution of Black–Scholes models of American options: a penalty method and a front-fixing scheme. In the penalty ...
This study proposes a novel approach utilizing Conditional Generative Adversarial Networks (CGANs) to accelerate wideband acoustic state analysis, addressing the computational challenges in ...