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 ...

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 ...

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 ...

Introduction to the finite-element method for stress analysis with emphasis on linear elasticity. Computer implementation of finite element techniques: finite-element code development and modification ...

Finite Element Methods for solving problems with material and geometric nonlinearities; transient dynamics analysis with explicit and implicit time integration, partitioned methods, and stability; ...