Browsing by Subject "Convergence of numerical methods"
Now showing items 21-33 of 33
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Article
On the combined effects of slip, compressibility, and inertia on the Newtonian extrudate-swell flow problem
(2013)We solve both the planar and axisymmetric extrudate-swell flows of a compressible Newtonian liquid with Navier slip at the wall, using the finite-element method in space and a fully-implicit finite-difference scheme in ...
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Article
Optimal superconvergent one step nodal cubic spline collocation methods
(2006)We formulate new optimal (fourth) order one step nodal cubic spline collocation methods for the solution of various elliptic boundary value problems in the unit square. These methods are constructed so that the respective ...
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Article
Power divergence family of tests for categorical time series models
(2002)A fundamental issue that arises after fitting a regression model is that of testing the goodness of the fit. Our work brings together the power divergence family of goodness of fit tests and regression models for categorical ...
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Article
Robust adaptive control of linearizable nonlinear single input systems with guaranteed error bounds
(2004)In this paper, a nonlinear robust adaptive control algorithm is designed and analyzed for a class of single-input nonlinear systems with unknown nonlinearities. The controller employs a single layer neural network to ...
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Article
Robustness and performance of a modified adaptive backstepping controller
(1998)Recently, a new class of adaptive control schemes based on non-linear design techniques, have been proposed for minimum phase linear time invariant plants. Under certain assumptions on the plant transfer function, these ...
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Article
The singular function boundary integral method for a two-dimensional fracture problem
(2006)The singular function boundary integral method (SFBIM) originally developed for Laplacian problems with boundary singularities is extended for solving two-dimensional fracture problems formulated in terms of the Airy stress ...
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Article
A singular function boundary integral method for laplacian problems with boundary singularities
(2006)A singular function boundary integral method for Laplacian problems with boundary singularities is analyzed. In this method, the solution is approximated by the truncated asymptotic expansion for the solution near the ...
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Article
A singular function boundary integral method for the laplace equation
(1996)The authors present a new singular function boundary integral method for the numerical solution of problems with singularities which is based on approximation of the solution by the leading terms of the local asymptotic ...
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Article
A spectral domain decomposition approach for steady Navier-Stokes problems in circular geometries
(1996)In this study, a spectral collocation domain decomposition method is developed for the numerical solution of second and fourth-order problems in circular domains. The method is applied to the Navier-Stokes equations and ...
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Article
Stable finite element solutions of fully viscous compressible flows
(1995)This paper presents a stable approach to solve convection-dominated flows in the presence of compressibility effects. This approach employs the Petrov-Galerkin weighing to the FEM equations to achieve stability at the high ...
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Article
Subsampling the distribution of diverging statistics with applications to finance
(2004)In this paper we propose a subsampling estimator for the distribution of statistics diverging at either known or unknown rates when the underlying time series is strictly stationary and strong mixing. Based on our results ...
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Conference Object
A switching controller for multivariable LTI systems with known and unknown parameters
(2002)The design of adaptive controllers for multi-input multi-output (MIMO) linear time invariant (LTI) systems is challenging due to the high dimension and parameterization issues associated with MIMO systems. In this paper ...
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Article
Time-dependent plane Poiseuille flow of a Johnson-Segalman fluid
(1999)We numerically solve the time-dependent planar Poiseuille flow of a Johnson-Segalman fluid with added Newtonian viscosity. We consider the case where the shear stress/shear rate curve exhibits a maximum and a minimum at ...