Vitamin Methods. Volume II

Introduction to Volume Ii

The writings that have been collected in this volume are closely related to Wilhelm Dilthey’s efforts to complete the second volume of the Introduction to the Human Sciences. Dilthey himself pub­ lished the first volume (Books One and Two) of his Einleitung in die Geisteswissenschaften in 1883. He never completed Books Three to Six. Drafts for Books Four to Six did exist, but were only publishe...

Prognosis. Volume II. 1937

Methods for Volume Metamorphosis

The problem of creating a sequence of inbetween volumes smoothly transforming from one given volume to another is referred to as volume metamorphosis or volume morphing. Several methods that provide the solution to the problem are described and compared in this paper. Tests have shown that some of these methods are capable of produce good quality metamorphosis within an acceptable time.

Finite Volume Methods

Contents Introduction 3 1 Finite volume discretization of balance laws 4 1.

Finite Volume Methods

1. GENERAL FORM OF FINITE VOLUME METHODS We consider vertex-centered finite volume methods for solving diffusion type elliptic equation (1) −∇ · (K∇u) = f in Ω, with suitable Dirichlet or Neumann boundary conditions. Here Ω ⊂ R is a polyhedral domain (d ≥ 2), the diffusion coefficient K(x) is a d× d symmetric matrix function that is uniformly positive definite on Ω with components in L∞(Ω), and...