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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
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Journal of the Korea Society for Industrial and Applied Mathematics
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The Korean Society for Industrial and Applied Mathematics
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Volume & Issues
Volume 13, Issue 4 - Dec 2009
Volume 13, Issue 3 - Sep 2009
Volume 13, Issue 2 - Jun 2009
Volume 13, Issue 1 - Mar 2009
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A JET EMERGING FROM A SLIT AT THE CORNER OF QUARTER PLANE
Wiryanto, L.H. ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 13, issue 4, 2009, Pages 237~245
A numerical solution is provided for a jet produced by a flow emerging from a slit at the bottom corner of a quarter plane. The flow is characterized by the Froude number F, based on the net volume flux and the width of the slit. We perform the free-surface flow for various values of F and another parameter corresponding to the position of the vertical wall. A jet with back-flow near the edge of the vertical wall is obtained, and the limiting case is a jet with a stagnation point.
MOTION DETECTION USING CURVATURE MAP AND TWO-STEP BIMODAL SEGMENTATION
Lee, Suk-Ho ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 13, issue 4, 2009, Pages 247~256
In this paper, a motion detection algorithm which works well in low illumination environment is proposed. By using the level set based bimodal motion segmentation, the algorithm obtains an automatic segmentation of the motion region and the spurious regions due to the large CCD noise in low illumination environment are removed effectively.
EXPLICIT ERROR BOUND FOR QUADRATIC SPLINE APPROXIMATION OF CUBIC SPLINE
Kim, Yeon-Soo ; Ahn, Young-Joon ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 13, issue 4, 2009, Pages 257~265
In this paper we find an explicit form of upper bound of Hausdorff distance between given cubic spline curve and its quadratic spline approximation. As an application the approximation of offset curve of cubic spline curve is presented using our explicit error analysis. The offset curve of quadratic spline curve is exact rational spline curve of degree six, which is also an approximation of the offset curve of cubic spline curve.
EXPLICIT BOUNDS FOR THE TWO-LEVEL PRECONDITIONER OF THE P1 DISCONTINUOUS GALERKIN METHOD ON RECTANGULAR MESHES
Kim, Kwang-Yeon ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 13, issue 4, 2009, Pages 267~280
In this paper we investigate a simple two-level additive Schwarz preconditioner for the P1 symmetric interior penalty Galerkin method of the Poisson equation on rectangular meshes. The construction is based on the decomposition of the global space of piecewise linear polynomials into the sum of local subspaces, each of which corresponds to an element of the underlying mesh, and the global coarse subspace consisting of piecewise constants. This preconditioner is a direct combination of the block Jacobi iteration and the cell-centered finite difference method, and thus very easy to implement. Explicit upper and lower bounds for the maximum and minimum eigenvalues of the preconditioned matrix system are derived and confirmed by some numerical experiments.
EFFICIENT PARAMETERS OF DECOUPLED DUAL SINGULAR FUNCTION METHOD
Kim, Seok-Chan ; Pyo, Jae-Hong ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 13, issue 4, 2009, Pages 281~292
The solution of the interface problem or Poisson problem with concave corner has singular perturbation at the interface corners or singular corners. The decoupled dual singular function method (DDSFM) which exploits the singular representations of the solutions was suggested in [3, 9] and estimated optimal accuracy in . The convergence rates consist with theoretical results even for the problems with very strong singularity, with the efficiency depending on parameters used in the methods. Furthermore the errors in
-spaces display some oscillation, in the cases with meshsize not small enough. In this paper, we present an answer to remove the oscillation via numerical experiments. We observe the effects of parameters in DDSFM, and show the consisting efficiency of the method over the strong singularity.
REDUCED-ORDER APPROACH USING WEIGHTED CENTROIDAL VORONOI TESSELLATION
Piao, Guang-Ri ; Lee, Hyung-Chen ; Lee, June-Yub ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 13, issue 4, 2009, Pages 293~305
In this article, we study a reduced-order modelling for distributed feedback control problem of the Burgers equations. Brief review of the centroidal Voronoi tessellation (CVT) are provided. A weighted (nonuniform density) CVT is introduced and low-order approximate solution and compensator-based control design of Burgers equation is discussed. Through weighted CVT (or CVT-nonuniform) method, obtained low-order basis is applied to low-order functional gains to design a low-order controller, and by using the low-order basis order of control modelling was reduced. Numerical experiments show that a solution of reduced-order controlled Burgers equation performs well in comparison with a solution of full order controlled Burgers equation.
QUATNARY APPROXIMATING 4-POINT SUBDIVISION SCHEME
Ko, Kwan-Pyo ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 13, issue 4, 2009, Pages 307~314
In this work, we introduce a new quatnary approximating subdivision scheme for curve and deal with its analysis (convergence and regularity) using Laurent polynomials method. We also discuss various properties, such as approximation order and support of basic limit function.
SIMULTANEOUS FOREGROUND AND BACKGROUND SEGMENTATION WITH LEVEL SET FUNCTION
Lee, Suk-Ho ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 13, issue 4, 2009, Pages 315~321
In this paper, a level set based energy functional is proposed, the minimization of which results in simultaneous reference background image modeling and foreground segmentation. Due to the mutual constraint of the two processes, a good estimate of the background can be obtained with a small number of frames, and due to the use of the level set, an Euler-Lagrange equation that directly solves the problem can be derived.