26 Result(s)

Chapter

The Approximation of Harmonic and Parabolic Functions on Half-Spaces from Interior Data

The object of this paper is to discuss the numerical approximation of functions either harmonic or parabolic in a half-space given the approximate values of the functions on some subset of the open half-space....

J. R. Cannon, Jim Douglas Jr. in Numerical Analysis of Partial Differential Equations (2010)

Chapter and Conference Paper

Dopamine changes in a rat model of intracerebral hemorrhage

Recent case reports suggest that dopamine (DA) replacement may reduce behavioral deficits resulting from hemorrhages along the nigrostriatal tract. In the rat model of intracerebral hemorrhage (ICH), behaviora...

J. R. Cannon, T. Nakamura, R. F. Keep, R. J. Richardson, Y. Hua, G. ** in Brain Edema XIII (2006)

Chapter

Indirect Determination of Hydraulic Properties of Porous Media

This paper considers an inverse problem associated with modelling unsaturated flow in a porous medium. An unknown coefficient in a typical inverse problem is shown to be uniquely determined in a given equivale...

J. R. Cannon, Paul DuChateau in Flow in Porous Media (1993)

Article

Determination of source parameter in parabolic equations

The authors consider the problem of finding u=u(x, t) and p=p(t) which satisfy u = Lu + p(t) + F(x, t, u, _x, p(t)) in Q _T=Ω×(0, T], u(x, 0)=ø(x), x∈Ω, u(x, t)=g(x, t) on ∂Ω×(0, T] ...

J. R. Cannon, Yan** Lin, Shingmin Wang in Meccanica (1992)

Chapter

Identifying a Time Dependent Unknown Coefficient in a Nonlinear Heat Equation

In this paper we show how an unknown coefficient inverse problem may be reformulated as a problem involving a trace type functional partial differential equation. The trace type functional problem can be solve...

J.R. Cannon, Paul Duchateau, Ken Steube in Nonlinear Diffusion Equations and Their Eq… (1992)

Article

Trace type functional differential equations and the identification of hydraulic properties of porous media

The authors give four examples of inverse problems related to fluid flow in a porous media. These are the problems of identifying an unknown source term, and unknown diffusivity, an unknown porosity, and both ...

J. R. Cannon, Paul DuChateau, Ken Steube in Transport in Porous Media (1991)

Chapter

Trace Type Functional Differential Equations and the Identification of Hydraulic Properties of Porous Media

The authors give four examples of inverse problems related to fluid flow in a porous media. These are the problems of identifying am unknown source term, and unknown diffusivity, an unknown porosity, and both ...

J. R. Cannon, Paul DuChateau, Ken Steube in Mathematical Modeling for Flow and Transpo… (1991)

Article

Galerkin methods and L²-error estimates for hyperbolic integro-differential equations

In this paper we shall study Galerkin approximations to the solution of linear second-order hyperbolic integro-differential equations. The continuous and Crank-Nicolson discrete time Galerkin procedures will b...

J. R. Cannon, Yan** Lin, Chong-Yuan **e in CALCOLO (1989)

Article

Non-classicalH ¹ projection and Galerkin methods for non-linear parabolic integro-differential equations

In this paper the Galerkin method is analyzed for the following nonlinear integro-differential equation of parabolic type: $$c(u)u_t ...

J. R. Cannon, Y. Lin in CALCOLO (1988)

Article

The steady state Stefan problem with convection

For steady-state Stefan problems with convection in the fluid phase governed by either the Stokes equations or the Navier Stokes equations, and with adherence of the fluid on all boundaries, the existence of a...

J. R. Cannon, Emmanuele DiBenedetto… in Archive for Rational Mechanics and Analysis (1980)

Chapter and Conference Paper

The initial value problem for the Boussinesq equations with data in L^p

J. R. Cannon, Emmanuele DiBenedetto in Approximation Methods for Navier-Stokes Problems (1980)

Article

A Galerkin procedure for systems of differential equations

A continuous time and an extrapolated coefficient Crank-Nicolson-Galerkin method are considered for approximating solutions of boundary and initial value problems for a quasi-linear parabolic system of partial...

J. R. Cannon, R. E. Ewing in CALCOLO (1980)

Article

Determination of a source term in a linear parabolic partial differential equation

The determination of a spatially dependent source term in a linear parabolic differential equation whose coefficients depend only on the space variable from the specification of the heat flux at one of the bou...

J. R. Cannon, Richard E. Ewing in Zeitschrift für angewandte Mathematik und Physik ZAMP (1976)

Article

Boundary value multidimensional problems in fast chemical reactions

J. R. Cannon, Antonio Fasano in Archive for Rational Mechanics and Analysis (1973)

Article

A numerical experiment on the determination of kinetic rate constants in the presence of diffusion

Two chemicals,A andB, are allowed to diffuse together and a reaction described by $$A + B\mathop \rightleftharpoons \limits_{K_{ - 1}...

J. R. Cannon, Paul Duchateau, D. L. Filmer in The bulletin of mathematical biophysics (1972)

Article

Distribution of alkaloids in some Western Australian plants

T. E. H. Aplin, J. R. Cannon in Economic Botany (1971)

Article

The one-phase Stefan problem for the heat equation with boundary temperature specification

J. R. Cannon, C. Denson Hill… in Archive for Rational Mechanics and Analysis (1970)