This paper presents a new approach to spectral methods for initial boundary value problems. A filtered version of the partial differential equation and the initial and boundary conditions at an ...

Boundary value problems in differential equations constitute a fundamental area of study in mathematical science, where solutions to differential equations are sought under prescribed conditions ...

The method of least squares is used to construct approximate solutions to the boundary value problem $\tau f = g_0, B_i(f) = 0$ for $i = 1,\ldots, k$, on the interval ...

Boundary Element Methods (BEM) have emerged as a robust numerical technique for addressing wave propagation problems across diverse fields such as acoustics, elastodynamics, and electromagnetics.