Логическое управление и технологические защиты : методические указания к практическим работам

В пособии представлены практические задания по дисциплине «Логическое управление и защиты» Каждая работа содержит краткое изложение теоретических сведений, разобранные примеры выполнения заданий и варианты для самостоятельной индивидуальной проработки изученного материала. В практических работах затрагиваются законы алгебры логики Буля, основные логические элементы, известные методы построения и минимизации логических схем, а также вопросы синтеза и анализа конечных логических автоматов. Предназначено для магистров, обучающихся по направлению 13.04.01 «Теплоэнергетика и теплотехника»

Software Tools For Using Wavelets On The Interval For The Numerical Solution Of Operator Equations

this paper, we review the basic construction principles of wavelets on the interval which are used in a tensorproduct basis for the cube. We describe software tools developed to that purpose and show the application to the solution of a Helmholtz problem. KEY WORDS: Multiscale methods, wavelets, software, C++. AMS SUBJECT CLASSIFICATION: 68N99, 65F99, 65M55. INTRODUCTION Wavelets have successfully been used in image and signal processing during the past years. A whole variety of software (both public domain and commercial) show their applicability in this area of research. Multiscale methods using wavelets offer promising features also for the numerical treatment of certain elliptic operator equations. Significant progress has recently been made in developing the theory of these methods (for a survey, we refer to [12]). However, there is a certain lack in the corresponding software, which makes it hard to estimate the full potential of multiscale methods. In this paper, we describe some C++ tools to this purpose. These tools are available from the authors within the Gnu--license. This paper is organised as follows: we start by giving some background information and motivation for considering wavelets on the interval. In the following section, we recall the basic facts on wavelet systems on the interval. The requirements on these kind of software tools will then be collected. Afterwards, the software is described and we end by showing one particular example of its use