The utilization of incremental unknowns (IU) with multilevel finite differences was proposed
in R. Temam, SIAM J. Math. Anal., 21 (1991), pp. 154–178 for the integration of elliptic partial …

In this article, we describe the application of incremental unknowns for solving the Laplace
problem in three space dimension. We introduce and study the second-order incremental …

Our aim in this paper is to present two types of emi-implicit schemes based on multilevel
wavelet-like incremental unknowns (WIU) for solving a one-dimensional reaction-diffusion …

For the anisotropic parabolic equations, we introduce a multilevel wavelet-like block
incremental unknowns (WBIU) method and then, based on this new method, we construct a …

Incremental unknowns of different types were proposed as a means to develop numerical
schemes in the context of finite difference discretizations. In this article, we present a novel …

Decomposition methods have played, and keep playing, an important role in numerical
analysis: examples include the decomposition of operators, as in the splitting or alternating …