SIAM Journal on Numerical Analysis, Vol. 51, No. 4 (2013), pp. 2470-2490 (21 pages) The primary aim of this paper is to answer the question, What are the highest-order five-or nine-point compact ...

A mixed finite-element finite-difference numerical method is developed to calculate nonlinear fluid-solid interaction problems. In this study, the structure is assumed to be rigid with large motion ...

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 ...

Techniques for analyzing periodic finite difference methods including von Neumann, energy and CFL / domain of dependence techniques. Finite difference methods for parabolic problems in one space ...

It is shown that finite differences are effective when the method of dependent realizations is exploited in the Monte Carlo simulations. Evaluation of other Greeks is also considered. Results of ...

These are known as the radial-basis-function generated finite-difference method and the Hermite finite-difference method. The convergence and stability of these schemes are investigated numerically ...