The numerical approximation of these equations necessitates specialised methods that balance computational efficiency with reliability.

Numerical analysis, machine learning and scientific computing In this research field we are developing advanced computational methods centered around efficient solution strategies for partial ...

In this paper some of the numerical problems associated with computing the generalized inverse of a matrix are discussed and illustrated by a detailed analysis of an iteration of Ben-Israel and Cohen.

In this paper, a mass (or normalization) and magnetization conservative and energy-diminishing numerical method is presented for computing the ground state of spin-1 (or F = 1 spinor) Bose-Einstein ...

Numerical Solution of Systems of Linear Equations, Iterative Methods Formulation and analysis of basic stationary methods e.g. Gauss-Jacobi, Gauss-Seidel. The numerical solution of Poisson's equation.

Who doesn’t love numerical calculations? When I teach this stuff in class, students usually use the following recipe: Find the forces on the object. Find the new momentum (based on the force and ...

Scientists are rethinking the universe’s deepest mysteries using numerical relativity, complex computer simulations of Einstein’s equations in extreme conditions. This method could help ...

Julia is a free open source, high-level, high-performance, dynamic programming language for numerical computing. It has the development convenience of a dynamic language with the performance of a ...