Finite-difference approximations for the first derivative, valid halfway between equidistant gridpoints, are in general much more accurate than the corresponding approximations, which are valid at ...

We consider the application of finite-difference methods to the numerical solution of boundary-value problems. In particular we are concerned to study the feasibility and convergence of the difference ...

Course Description: This course provides a practical introduction to the Finite Element Method (FEM), with an emphasis on hands-on implementation using Python. It covers the basic theoretical concepts ...

Theory of elasticity: elastic stability, principal of minimum potential energy, Raylegh-Ritz methods. Introduction to finite element methods of stress analysis: computer implementation and use of ...

Finite-Difference Time-Domain (FDTD) methods represent a cornerstone in the numerical simulation of wave propagation phenomena. These methods solve Maxwell’s equations directly in the time domain, ...