The analysis of the finite difference schemes with nonuniform meshes for the problems of partial differential equations is extremely rare even for very simple problems and even for the method of fully ...

This is a preview. Log in through your library . Abstract In a previous work, the authors have presented a formalism for deriving systematically invariant, symmetric finite difference algorithms for ...

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 ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

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 ...

Abstract: The distributed finite-time bipartite consensus control problem for nonlinear multi-agent systems (MASs) is discussed in this work. This paper proposes the prioritized strategy that utilizes ...

Peter Austing shows how to set up finite difference solvers to exactly recover the prices of all vanilla options on the grid. The approach leads to a specific discretisation of Dupire’s formula. It ...

Abstract: For a class of input-delayed disturbed linear systems, this paper considers the problem of finite-time implicit-Lyapunov-function (ILF)-based control. With ILF as the evaluation of system ...