Estimation of discontinuous parameters in general nonautonomous parabolic systems
Detection and accommodation of second order distributed parameter systems with abrupt changes in input term: Existence and approximation
The purpose of this note is to investigate the existence of solutions to a class of second order distributed parameter systems with sudden changes in the input term. The class of distributed parameter systems under study is often encountered in flexible structures and structure-fluid interaction systems that use smart actuators. A failure in the actuator is modeled as either an abrupt or an incipient change of the actuator map whose magnitude is a function of the measurable output. A Galerkin-based...
Numerical studies of parameter estimation techniques for nonlinear evolution equations
We briefly discuss an abstract approximation framework and a convergence theory of parameter estimation for a general class of nonautonomous nonlinear evolution equations. A detailed discussion of the above theory has been given earlier by the authors in another paper. The application of this theory together with numerical results indicating the feasibility of this general least squares approach are presented in the context of quasilinear reaction diffusion equations.
Monotone method for nonlineer nonlocal hyperbolic problems.
Extinction in a generalized Lotka-Volterra predator-prey model.
An adaptive numerical method for the wave equation with a nonlinear boundary condition.
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