Fuzzy Fredholm integral equations represent a class of mathematical problems in which uncertainty is incorporated directly into the model via fuzzy numbers. These equations extend the classical ...

Numerical methods for differential and integral equations are indispensable in modern applied mathematics and engineering, offering tools to approximate complex physical phenomena where analytical ...

We consider nonlinear problems of the form f(x, λ, α) = 0, where $x \in \mathBbb{R}$ is a state variable, $\lambda \in \mathBbb{R}$ is a bifurcation parameter ...

A We consider the numerical solution of projected algebraic Riccati equations using Newton's method. Such equations arise, for instance, in model reduction of descriptor systems based on positive real ...

We’re suckers for good-looking old-school calculators, so this interesting numerical equation-solving calculator by [Peter Balch] caught our attention. Based around the ESP32-WROOM-32 module and an ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...