parabolic type

parabolic type

[¦par·ə¦bäl·ik ‚tīp]
(mathematics)
A type of simply connected Riemann surface that can be mapped conformally on the complex plane, excluding the origin and the point at infinity. Also known as Riemann surface.
References in periodicals archive ?
URAL'CEVA, Linear and Quasi-Linear Equations of Parabolic Type, Academic Press, New York, 1968.
Thomee, "Error estimates for some mixed finite element methods for parabolic type problems," RAIRO-Analyse Numerique, vol.
This paper is concerned with the solution of a parabolic type partial integro-differential equation (PIDE) having a weakly singular kernel.
Mori studied in [4] complete rotational hypersurfaces in [H.sup.n] with constant scalar curvature and of hyperbolic and parabolic type. In this paper, and for the 3-dimensional space [H.sup.3], we give a full description of (complete and not complete) parabolic K-surfaces.
Uralaceva, Linear and Quasilinear Equations of Parabolic type, Amer.
If a = 1then the characteristic roots are both equal to 1 and the zero equilibrium is nonhyperbolic of the parabolic type. Similarly, if a = -1 then the characteristic roots are both equal to -1 and the zero equilibrium is nonhyperbolic of the parabolic type.
Because the Maxwell's equation is a hyperbolic type and the heat transfer equation is parabolic type differential equations, their FDTD stability criteria are completely different from each other.
CNRS plans to install a solar thermal power concentration parabolic type from the common Odeillo in the Pyrenees Orientales.
Sakawa: Controllability for partial differential equations of parabolic type, SIAM J.
Friedman, Partial Differential Equations of Parabolic Type, Prentice Hall, Englewood Cliffs, New Jersey, 1964.
Nambu examines the stabilization theory for linear systems governed by partial differential equations of parabolic type. He covers the stabilization of linear systems of finite dimension, the basic theory of elliptic operators, the stabilization of linear systems of infinite dimension: static feedback and dynamic feedback, the stabilization of linear systems with Riesz bases: dynamic feedback, output stabilization: the lack of observability and/or controllability conditions, the stabilization of a class of linear control systems generating C0-semigroups, and a computational algorhism for an infinite-dimensional Sylvester's equation.