Kiyoshi Kitahara

  • Citations Per Year
Learn More
We propose a way of generating 3D graphics by using Computer Algebra Systems (CASs), whose outputs are obtained as a LATEX file. In particular, we concentrate on monochrome line drawings of 3D objects without halftone expression, which is categorized into the non-photorealistic rendering. For this purpose, we have developed a bundle of CASs' macro packages,(More)
In today's technological era, technologies for drawing fine figures have become necessary for effective communication in areas such as scientific research, industry, architecture, medical service, and education. In the areas of scientific research and education, computer algebra system (CAS) has become the preferred tool because of its superb drawing(More)
Here f ∈ L(Ω) , g ∈ H(∂Ω) and Ω is a bounded domain in R with the smooth boundary ∂Ω ( see Figure 1 ). The method of lines for solving Problem I works well if Ω is a rectangular domain since the finite difference solution is expressed explicitly by use of eigenvalues and eigenvectors for the finite difference scheme([BGN70], [Nak65]). But one says that this(More)
Mathematics teachers want to enable students to understand mathematical objects clearly and want to use their original class materials with accurate and impressive figures. To do so, it is suitable to use both TeX and Computer Algebra System (CAS). Nevertheless, the graphic output of CAS is not suited to the TeX document of the material. To improve it,(More)
The object of this paper is to present the numerical algorithm to obtain a finite difference solution for an elliptic transmission problem by use of the direct method of lines ([Nak65],[KK98], [KK99]). Let Π be a rectangular domain in R, Ω1 be an open subset of Π and Ω2 = Π \ Ω1, Γ = ∂Ω1 (see Figure 1). Then the elliptic transmission problem is formulated(More)