Accurate WKB Approximation for a 1D Problem with Low Regularity [PDF]
2000 Mathematics Subject Classification: 34L40, 65L10, 65Z05, 81Q20.This article is concerned with the analysis of the WKB expansion in a classically forbidden region for a one dimensional boundary value Schrodinger equation with a non smooth potential ...
Nier, F.
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Corrected confidence intervals for secondary parameters following sequential tests
Corrected confidence intervals are developed for the mean of the second component of a bivariate normal process when the first component is being monitored sequentially.
Coad, D. S., Weng, R. C.
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A fast and well-conditioned spectral method [PDF]
A novel spectral method is developed for the direct solution of linear ordinary differential equations with variable coefficients. The method leads to matrices which are almost banded, and a numerical solver is presented that takes $O(m^{2}n)$ operations,
Olver, Sheehan, Townsend, Alex
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Finite difference schemes on quasi-uniform grids for Bvps on infinite intervals
The classical numerical treatment of boundary value problems defined on infinite intervals is to replace the boundary conditions at infinity by suitable boundary conditions at a finite point, the so-called truncated boundary.
Fazio, Riccardo, Jannelli, Alessandra
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Numerical Methods for a Nonlinear BVP Arising in Physical Oceanography [PDF]
In this paper we report and compare the numerical results for an ocean circulation model obtained by the classical truncated boundary formulation, the free boundary approach and a quasi-uniform grid treatment of the problem. We apply a shooting method to
Fazio, Riccardo, Jannelli, Alessandra
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Dirichlet Boundary Value Problems for Second Order $p$-Laplacian Difference Equations [PDF]
In this paper, the solutions to second order Dirichlet boundary value problems of $p$-Laplacian difference equations are investigated. By using critical point theory, existence and multiplicity results are obtained.
Liu, Zhongzhi +2 more
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On supraconvergence phenomenon for second order centered finite differences on non-uniform grids
In the present study we consider an example of a boundary value problem for a simple second order ordinary differential equation, which may exhibit a boundary layer phenomenon.
Dutykh, Denys, Khakimzyanov, Gayaz
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DIFFERENTIAL TRANSFORM METHOD FOR SOLVING A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS
: This paper applies the differential transform method to search for semi numerical-analytical solutions of a class of singular two-point boundary value problems.
Vedat ERTÜRK
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GLOBAL STABILITY AND PERIODIC SOLUTION OF A VIRAL DYNAMIC MODEL
:In this paper, we consider the classical viral dynamic mathematical model. Global dynamics of the model is rigorously established. We prove that, if the basic reproduction number, the HIV infection is cleared from the T-cell population; if , the HIV ...
Erhan COŞKUN
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Matrix methods for radial Schr\"{o}dinger eigenproblems defined on a semi-infinite domain
In this paper, we discuss numerical approximation of the eigenvalues of the one-dimensional radial Schr\"{o}dinger equation posed on a semi-infinite interval.
Aceto, Lidia +2 more
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