The analysis of the finite difference schemes with nonuniform meshes for the problems of partial differential equations is extremely rare even for very simple problems and even for the method of fully ...

Finite-Difference Time-Domain (FDTD) methods have become a cornerstone in the numerical solution of Maxwell’s equations, enabling detailed electromagnetic analysis across a wide range of ...

We present the multiplier method of constructing conservative finite difference schemes for ordinary and partial differential equations. Given a system of differential equations possessing ...

Think finite difference methods (FDM), finite volume methods (FVM), boundary element methods (BEM), finite element methods (FEM), and many other numerical techniques.

The Keystone of Engineering Design Currently, finite element methods are so embedded within the world of engineering that even an undergraduate mechanical engineering student would have already worked ...