The final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory. To this end, the smoothness of the solution is ex…
Chapter 1. The Discrete Nonlinear Schrödinger Equation and the Two-State System (Dimer) -- Chapter 2. Dimer Solutions, Mobility Reduction, and Neutron Scattering -- Chapter 3. Initial Delocalization, Phase-Nonlinearity Interplay, and Fluorescence Depolarization -- Chapter 4. Wha…
This book presents some fundamental concepts behind the basic theories and tools of discrete element methods (DEM), its historical development, and its wide scope of applications in geology, geophysics and rock engineering. Unlike almost all books available on the general subjec…
This study deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques.
1. Overview : The development of SSP methods -- 2. Strong stability preserving explicit Runge-Kutta methods. 2.1. Overview. 2.2. Motivation. 2.3. SSP methods as convex combinations of Euler's method : the Shu-Osher formulation. 2.4. Some optimal SSP Runge-Kutta methods -- 3. The…