A method of moments solution of volume integral eqna,tions (VTEs) for scattering and radiation problems involving arbitrarily shaped inhomogeneous dielectric structures is presented. The inhomogeneous region is modeled using second order hexahedral elements whereas low order conformal basis functions within these elements are used for the method of moments expansion of the unknown. The resultin...

This article is intended as an update of the major survey by Max [40] on optical models for direct volume rendering. It provides a brief overview of the subject scope covered by [40], and brings recent developments, such as new shadow algorithms and refraction rendering, into the perspective. In particular, we examine three fundamentals aspects of direct volume rendering, namely the volume rend...

The aim of this work is to estimate the sound power generated by a turbulent flow in a duct from the knowledge of mean quantities which can be computed with a K-e turbulence model when only the plane wave can propagate, i.e., when the characteristic frequency of the turbulence is low. It does turn out to be possible for the simplest configuration of a duct free of internal obstruction. The resu...

Ten years ago, Ehrlich and Sanchez produced a pointwise statement of the classical Bishop volume comparison theorem for so-called SCLV subsets of the causal future in a Lorentz manifold, while Petersen and Wei developed and proved an integral version for Riemannian manifolds. We apply Peterson and Wei's method to the SCLV sets, and verify that two essential differential equations from the Riema...

In this paper, we present a technique for approximating the net displacement of a locomoting system over a gait without directly integrating its equations of motion. The approximation is based on a volume integral, which, among other benefits, is more open to optimization by algorithm or inspection than is the full displacement integral. Specifically, we develop the concept of a body velocity i...

In this paper we address several topics relating to the development and implementation of volume integral and hybrid finite element methods for electromagnetic modeling. Comparisons with the finite elementboundary integral method are given in terms of accuracy and computing resources. We also discuss preconditioning, parallelization of the multilevel fast multipole method and propose higher-ord...

Introduction Line integral convolution (LIC) is a flow-driven texture generation method that has become one of the best-known and most commonly used techniques in computer graphics for visualizing 2D flow, or flow over a surface in 3D. The popularity of LIC as a tool for 3D flow visualization, or the depiction of flow through a volume, has been relatively limited in contrast, however, primarily...

SUMMARY This paper presents an extension of Lighthill, Whitham and Richards' dynamic traffic flow model (LWR) to a number of vehicle classes. Each class will be described by a separate fundamental diagram. When the various diagrams are similar in shape a scaling can be carried out that is related to the passenger-car equivalents. We present both an analytical framework and a numerical computati...

We present a framework using the Quantized Tensor Train (QTT) decomposition to accurately and efficiently solve volume and boundary integral equations in three dimensions. We describe how the QTT decomposition can be used as a hierarchical compression and inversion scheme for matrices arising from the discretization of integral equations. For a broad range of problems, computational and storage...

Penelitian ini bertujuan untuk mendeskripsikan hasil belajar mahasiswa semester II Pendidikan Matematika FKIP Universitas Riau pada mata kuliah kalkulus integral khususnya materi luas dan volume pembelajaran daring. merupakan penelitian deskriptif kualitatif. Subyek adalah 41 Riau. Teknik pengumpulan data dilakukan dengan menggunakan tes berupa 3 soal uraian. Soal terdiri dari 1 2 integral. Dat...