Browsing by Subject "Convergence of numerical methods"
Now showing items 120 of 33

Article
An analytical method for linear elliptic PDEs and its numerical implementation
(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 DirichletNeumann map: given the derivative of ...

Conference Object
Atherosclerotic carotid plaque segmentation
(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
(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
(2006)The authors consider the problem of computing tunneling matrix elements for bridgemediated 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
(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 finiteelement method in which the solution is ...

Article
Converged solutions of the Newtonian extrudateswell problem
(1999)Both the axisymmetric and the planar Newtonian extrudateswell 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
(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 nonoblivious schedulers for optimistic, ratebased flow control
(ACM, 1997)Lower and upper bounds on convergence complexity, under varying degrees of locality, for optimistic, ratebased 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, ratebased flow control
(2005)Two important performance parameters of distributed, ratebased 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 risksensitive criterion for stochastic evolutions
(1995)The purpose of this paper is to investigate in an infinite dimensional space, the first passage problem with a risksensitive performance criterion, and to illustrate the asymptotic behavior of the associated value function, ...

Article
A Legendre spectral Galerkin method for the biharmonic Dirichlet problem
(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
(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
(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
(IEEE, 1998)In this paper, we show that for all unknown MultiInput (MI) nonlinear system that affected by external disturbances, it is possible to construct a semiglobal statefeedback stabilizer when the only information about the ...

Conference Object

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Nonlinear control design for linear time varying systems
(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 reactiondiffusion problems in polygonal domains
(2000)We present guidelines on how to choose the mesh and polynomial degree distribution for the approximation of reactiondiffusion 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
(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
(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 timevarying systems
(2004)In this paper we consider the optimal disturbance attenuation problem and robustness for linear timevarying (LTV) systems. This problem corresponds to the standard optimal H ∞ problem for LTI systems. The problem is ...