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Browsing by Subject "Convergence of numerical methods"

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    • Article  

      An analytical method for linear elliptic PDEs and its numerical implementation 

      Fulton, S. R.; Fokas, A. S.; Xenophontos, Christos A. (2004)
      A new numerical method for solving linear elliptic boundary value problems with constant coefficients in a polygonal domain is introduced. This method produces a generalized Dirichlet-Neumann map: given the derivative of ...

    • Conference Object  

      Atherosclerotic carotid plaque segmentation 

      Loizou, Christos P.; Pattichis, Constantinos S.; Istepanian, Robert Sh Habib; Pantzaris, Marios C.; Nicolaïdes, Andrew N. (2004)
      Atherosclerosis is the major cause of heart attack and stroke in the western world. In this paper we present a computerized method for segmenting the athrerosclerotic carotid plaque from ultrasound images. The method uses ...

    • Conference Object  

      Bandwidth Allocation for Virtual Paths (BAVP): Investigation of performance of classical constrained and genetic algorithm based optimization techniques 

      Pitsillides, Andreas; Stylianou, Georgios; Pattichis, Constantinos S.; Sekercioglu, Y. Ahmet; Vasilakos, Athanasios V. (2000)
      We investigate the performance of a classical constrained optimization (CCO) algorithm and a constrained optimization Genetic Algorithm (GA) for solving the Bandwidth Allocation for Virtual Paths (BAVP) problem. We compare ...

    • Article  

      Comparative study of perturbative methods for computing electron transfer tunneling matrix elements with a nonorthogonal basis set 

      Teklos, A.; Skourtis, Spiros S. (2006)
      The authors consider the problem of computing tunneling matrix elements for bridge-mediated electron transfer reactions using the Löwdin [J. Math. Phys. 3, 969 (1962)

    • Article  

      Comparison of two methods for the computation of singular solutions in elliptic problems 

      Georgiou, Georgios C.; Boudouvis, Andreas G.; Poullikkas, A. (1997)
      We compare two numerical methods for the solution of elliptic problems with boundary singularities. The first is the integrated singular basis function method (ISBFM), a finite-element method in which the solution is ...

    • Article  

      Converged solutions of the Newtonian extrudate-swell problem 

      Georgiou, Georgios C.; Boudouvis, Andreas G. (1999)
      Both the axisymmetric and the planar Newtonian extrudate-swell problems are solved using the standard and the singular finite element methods. In the latter method, special elements that incorporate the radial form of the ...

    • Article  

      Detection of cavities using the method of fundamental solutions 

      Karageorghis, Andreas; Lesnic, D. (2009)
      The determination of the boundary of a cavity, defined here as a perfectly insulated inclusion, within a conducting medium from a single voltage and current flux measurements on the accessible boundary of the medium, can ...

    • Conference Object  

      Efficiency of oblivious versus non-oblivious schedulers for optimistic, rate-based flow control 

      Fatourou, Panagiota; Mavronicolas, Marios; Spirakis, Paul G. (ACM, 1997)
      Lower and upper bounds on convergence complexity, under varying degrees of locality, for optimistic, rate-based flow control algorithms are established. It is shown that randomness can be exploited to yield an even simpler ...

    • Article  

      Efficiency of oblivious versus nonoblivious schedulers for optimistic, rate-based flow control 

      Fatourou, Panagiota; Mavronicolas, Marios; Spirakis, Paul G. (2005)
      Two important performance parameters of distributed, rate-based flow control algorithms are their locality and convergence complexity. The former is characterized by the amount of global knowledge that is available to their ...

    • Conference Object  

      First passage risk-sensitive criterion for stochastic evolutions 

      Charalambous, Charalambos D.; Hibey, Joseph L. (1995)
      The purpose of this paper is to investigate in an infinite dimensional space, the first passage problem with a risk-sensitive performance criterion, and to illustrate the asymptotic behavior of the associated value function, ...

    • Article  

      A Legendre spectral Galerkin method for the biharmonic Dirichlet problem 

      Bialecki, B.; Karageorghis, Andreas (2001)
      A Legendre spectral Galerkin method is presented for the solution of the biharmonic Dirichlet problem on a square. The solution and its Laplacian are approximated using the set of basis functions suggested by Shen, which ...

    • Article  

      Matrix decomposition algorithms for modified spline collocation for Helmholtz problems 

      Bialecki, B.; Fairweather, G.; Karageorghis, Andreas (2003)
      We consider the solution of various boundary value problems for the Helmholtz equation in the unit square using a nodal cubic spline collocation method and modifications of it which produce optimal (fourth-) order ...

    • Article  

      The method of fundamental solutions for the inverse conductivity problem 

      Karageorghis, Andreas; Lesnic, D. (2010)
      In this article, we propose a simple method for detecting an inclusion Ω2 embedded in a host electrostatic medium Ω1 from a single Cauchy pair of voltage and current flux measurements on the exterior boundary of Ω1. A ...

    • Conference Object  

      Neural network control of unknown systems 

      Kosmatopoulos, Elias B.; Chassiakos, Anastassios; Boussalis, Helen R.; Mirmirani, Maj; Ioannou, Petros A. (IEEE, 1998)
      In this paper, we show that for all unknown Multi-Input (MI) nonlinear system that affected by external disturbances, it is possible to construct a semi-global state-feedback stabilizer when the only information about the ...

    • Conference Object  

      A neural-type parallel algorithm for fast matrix inversion 

      Polycarpou, Marios M.; Ioannou, P. A. (1991)

    • Conference Object  

      Nonlinear control design for linear time varying systems 

      Zhang, Youping; Ioannou, Petros A. (1996)
      A new class of linear controllers for linear time varying systems are proposed. These controllers are based on nonlinear tools such as integrator backstepping and nonlinear damping, and on a new filter structure that ...

    • Article  

      A note on p/hp finite element methods for reaction-diffusion problems in polygonal domains 

      Xenophontos, Christos A. (2000)
      We present guidelines on how to choose the mesh and polynomial degree distribution for the approximation of reaction-diffusion problems in polygonal domains, in the context of the hp finite element method. These guidelines ...

    • Article  

      A note on the convergence rate of the finite element method for singularly perturbed problems using the Shishkin mesh 

      Xenophontos, Christos A. (2003)
      We consider the numerical approximation of singularly perturbed problems by the h version of the finite element method on a piecewise uniform, Shishkin mesh. It is well known that this method yields uniform approximations, ...

    • Conference Object  

      On multiobjective H2/H∞ optimal control 

      Djouadi, S. M.; Charalambous, Charalambos D.; Repperger, D. W. (2001)
      In this paper the solutions to the optimal multiobjective H2/H∞ problem are characterized using Banach space duality theory, and shown to satisfy a flatness or allpass condition. Dual and predual spaces are identified, and ...

    • Conference Object  

      On optimal performance for linear time-varying systems 

      Djouadi, S. M.; Charalambous, Charalambos D. (2004)
      In this paper we consider the optimal disturbance attenuation problem and robustness for linear time-varying (LTV) systems. This problem corresponds to the standard optimal H ∞ problem for LTI systems. The problem is ...

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