Solving integral equations in high dimensions requires a huge computational effort and hence fast methods are desirable. We develop and analyze Boolean approximation methods using the piecewise ...

A mathematician from RUDN University suggested a stable difference scheme for solving inverse problems for elliptic-telegraph and differential equations that are used to describe biological ...

Mathematics Mathematician wins Abel prize for solving equations with geometry Luis Caffarelli has been awarded the most prestigious prize in mathematics for his work on nonlinear partial ...

More information: N. J. Wildberger et al, A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode, The American Mathematical Monthly (2025). DOI: 10.1080/00029890.2025.2460966 ...

This paper presents convergence analysis of some algorithms for solving systems of nonlinear equations defined by locally Lipschitzian functions. For the directional derivative-based and the ...