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  1. No Access

    Book

    Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology

    Johannes Gottlieb, Paul DuChateau in Water Science and Technology Library (1996)

  2. No Access

    Chapter

    An Introduction to Inverse Problems in Partial Differential Equations for Physicists, Scientists and Engineers

    In an inverse problem where properties of a physical system are to be found indirectly from measured outputs, one seeks to define and then somehow invert an input/output map**. When the unknown physical prop...

    Paul Duchateau in Parameter Identification and Inverse Probl… (1996)

  3. No Access

    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)

  4. No Access

    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)

  5. No Access

    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)

  6. No Access

    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)

  7. No Access

    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)