By Topic

IBM Journal of Research and Development

Issue 4 • Date July 1973

Filter Results

Displaying Results 1 - 11 of 11
  • Numerical Calculation of Self-Focusing and Trapping of a Short Light Pulse in Kerr Liquids

    Publication Year: 1973, Page(s):286 - 298
    Cited by:  Papers (2)
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (733 KB)

    Self-focusing and trapping of an intense, short light pulse is discussed on the basis of a parabolic scalar wave equation which includes a quadratic nonlinear refractive index. When the finite relaxation time of the nonlinear index is taken into account, the propagation properties of the transient solution differ considerably from those of the time-independent solution. Based mainly on the results... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Effects of Dispersion on Steady State Electromagnetic Shock Profiles

    Publication Year: 1973, Page(s):299 - 306
    Cited by:  Papers (10)
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (575 KB)

    In nonlinear electromagnetic media the various portions of a wave can travel with different velocities, which can result in the formation of electromagnetic shock waves. The structure of such a steady state shock is determined by an equilibrium between the velocity differences that tend to sharpen the shock and the sources of dispersion that cause a broadening of the shock. Several nonlinear trans... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • On a Nonlinear Diffusion Equation Describing Population Growth

    Publication Year: 1973, Page(s):307 - 313
    Cited by:  Papers (1)
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (398 KB)

    A nonlinear eigenvalue problem is solved analytically to obtain the shock-like traveling waves of Fisher's nonlinear diffusion equation, with which he described the wave of advance of advantageous genes. A phase-plane analysis of the wave profiles shows that the propagation speed of the waves is linearly proportional to their thickness. The analytic solution is asymptotically accurate in the limit... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Linearization of Cauchy's Problem for Quadratic Semilinear Partial Differential Equations

    Publication Year: 1973, Page(s):314 - 323
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (589 KB)

    The technique of linearization is applied to quadratic semilinear systems of n first-order partial differential equations. By introducing a related linear algebra A, we combine analytic and algebraic arguments to obtain a class of linearizable systems. We relate the coefficients of such systems to the center of A and show that, for hyperbolic systems, the ideals of A decouple the system into disjo... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • The Design of APL

    Publication Year: 1973, Page(s):324 - 334
    Cited by:  Papers (2)
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (546 KB)

    This paper discusses the development of APL, emphasizing and illustrating the principles underlying its design. The principle of simplicity appears most strongly in the minimization of rules governing the behavior of APL objects, while the principle of practicality is served by the design process itself, which relies heavily on experimentation. The paper gives the rationale for many specific desig... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • General Arrays, Operators and Functions

    Publication Year: 1973, Page(s):335 - 352
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (865 KB)

    This paper discusses “general arrays,” i.e., arrays in which the items are either scalars or other arrays. Functions are defined to construct, select from, restructure, and in general manipulate such arrays. Operators are presented as functions whose arguments or values are other functions that can be other than scalar functions. The exposition is shortened and simplified by presenti... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • System Formulation and APL Shared Variables

    Publication Year: 1973, Page(s):353 - 359
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (407 KB)

    The problem of providing communication with APL programs was approached by formulating systems as collections of autonomous processors communicating on interfaces consisting of shared variables. This paper discusses the formulation of a theoretical APL system and cites experience with a prototype APL shared variable system which both uses and provides shared variable interfaces. View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Recent Papers by IBM Authors

    Publication Year: 1973, Page(s):360 - 365
    IEEE is not the copyright holder of this material | Click to expandAbstract | PDF file iconPDF (442 KB)

    Reprints of the papers listed here can usually be obtained by writing directly to the authors. The authors' IBM divisions are identifed as follows: ASDD is the Advanced Systems Development Division; DPD, Data Processing Division; FED, Field Engineering Division; FSD, Federal Systems Division; GPD, General Products Division: GSD, General Systems Division; OPD, Office Products Division; RES, Researc... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Recent IBM Patents

    Publication Year: 1973, Page(s):366 - 368
    IEEE is not the copyright holder of this material | PDF file iconPDF (286 KB)
    Freely Available from IEEE
  • Authors

    Publication Year: 1973, Page(s):369 - 370
    IEEE is not the copyright holder of this material | PDF file iconPDF (216 KB)
    Freely Available from IEEE
  • Contents of previous issues

    Publication Year: 1973, Page(s):371 - 373
    IEEE is not the copyright holder of this material | PDF file iconPDF (224 KB)
    Freely Available from IEEE

Aims & Scope

The IBM Journal of Research and Development is a peer-reviewed technical journal, published bimonthly, which features the work of authors in the science, technology and engineering of information systems.

Learn about subscribing to this journal >

Full Aims & Scope

Meet Our Editors

Editor-in-Chief
Clifford A. Pickover
IBM T. J. Watson Research Center