Nature

Finite Differences and Difference Equations in the Real Domain

IN his preface, the author states that this volume includes material for a course in finite differences as well as a treatment of a number of special topics. A selection of material was necessary in ...
Nature

Finite Difference Methods in Seismic Wave Propagation

Finite difference methods have become a cornerstone in the simulation of seismic wave propagation, providing a robust numerical framework to approximate the differential equations that govern seismic ...
JSTOR Daily

High-Order Finite Differences and the Pseudospectral Method on Staggered Grids

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 ...
JSTOR Daily

ERROR BOUNDS FOR FINITE-DIFFERENCE METHODS FOR RUDIN—OSHER—FATEMI IMAGE SMOOTHING

SIAM Journal on Numerical Analysis, Vol. 49, No. 1/2 (2011), pp. 845-868 (24 pages) We bound the difference between the solution to the continuous Rudin—Osher—Fatemi (ROF) image smoothing model and ...
Machine Design

What’s The Difference Between FEM, FDM and FVM?

What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...