We study the stability of finite difference schemes for hyperbolic initial boundary value problems in one space dimension. Assuming l 2 -stability for the discretization of the hyperbolic operator as ...

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 ...

"This book, a result of nineteen years' lectures on the calculus of finite differences, probability, and mathematical statistics in the Budapest University of Technical and Economical Sciences ... has ...

THE last edition of Boole's “Finite Differences” appeared in 1880, and was in fact a reprint of the edition of 1872. The interval of sixty years has seen in the elementary field Sheppard's ...