• 한국대기환경학회지
• /
• 제8권3호
• /
• pp.162-168
• /
• 1992

Numerical solutions to the advection equations used for long-range transport air pollution models are calculated using three numerical methods; Antidiffusion correction method(Smolarkiewicz, 1983), Positive definite advecton scheme obtained by nonlinear renormalization of the advective fluxes(Bott, 1989), and Positive definite pseudospectral method(Bartnicki, 1989). Accuracy, numerical diffusion and computational time requirement are compared for two-dimensional transport calculations in a uniform rotational flow field. The solutions from three methods are positive definite. Bartnicki(1989)'s method is most conservative but requires approximately 10 times as much computational time as Smolarkiewicz(1983)'s method of which numerical diffusion is the largest. All three methods are more conservative for a cone shape initial condition than for a rectangular block initial condition with a steep gradient.

• 충청수학회지
• /
• 제29권3호
• /
• pp.503-508
• /
• 2016

We propose a number of finite difference methods for the prices of a European option under the CGMY model. These numerical methods to solve a partial integro-differential equation (PIDE) are based on three time levels in order to avoid fixed point iterations arising from an integral operator. Numerical simulations are carried out to compare these methods with each other for pricing the European option under the CGMY model.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제26권4호
• /
• pp.323-332
• /
• 2022

This paper presents a numerical study on multigrid algorithms of V-cycle type for problems posed in the Hilbert space H(curl) in three dimensions. The multigrid methods are designed for discrete problems originated from the discretization using the hexahedral Nédélec edge element of the lowest-order. Our suggested methods are associated with smoothers constructed by substructuring based on domain decomposition methods of nonoverlapping type. Numerical experiments to demonstrate the robustness and the effectiveness of the suggested algorithms are also provided.

• 한국기계가공학회지
• /
• 제14권4호
• /
• pp.14-20
• /
• 2015

Molding technologies for plastic microstructures have been extensively investigated during the last two decades, and theoretical and numerical studies on the micro molding process have provided efficient tools for the development of such molding technologies. In this paper, we present a review of numerical simulation methods for the micro molding process. Basic models for a description of the material property, governing equations of the flow and heat transfer during the molding process, and numerical methods will be described. Particularly, numerical simulations for micro injection molding and hot embossing processes will be presented, and their main features noted and compared to those for conventional molding processes.

• 한국강구조학회 논문집
• /
• 제10권3호통권36호
• /
• pp.451-461
• /
• 1998

1차전단변형 판이론에 의한 비등방성 복합적층판의 임계좌굴하중 및 좌굴모드는 기존의 해석적인 방법으로는 다양한 조건에 대하여 해를 제공할 수 없다는 단점을 가지고 있다. 따라서 근사해법인 수치해석을 이용하게 되는데, 이러한 수치해석기법으로 기존 상용프로그램에서는 유한요소법이 널리 사용되었다. 그러나 least upper bound 특성을 가지고 있는 유한요소법을 이용한 적층판의 좌굴해는 구조적인 안정성을 보장하지 못하는 경우도 있다. 따라서 본 논문에서는 유한차분법에 의한 좌굴해석을 수행하여 유한요소법과 상호 비교함으로서 각 경우에 관한 두 가지 수치해석기법의 장단점을 규명하고 효과적으로 적용할 수 있는 기법을 제시하는 것을 목적으로 하였다. 수치해석 결과, 유한차분법에 의한 좌굴하중 및 좌굴모드는 신소재를 사용하는 적층 구조물의 실용화에 앞서 다양한 기준을 제시할 수 있을 것으로 판단된다.

• Journal of applied mathematics & informatics
• /
• 제4권2호
• /
• pp.341-378
• /
• 1997

We consider three classes of numerical methods for solv-ing the semi-explicit differential-algebraic equations of index 1 and higher. These methods use implicit multistep fixed stepsize methods and several iterative processes including simple iteration, full a2nd modified Newton iteration. For these methods we prove convergence theorems and derive error estimates. We consider different ways of choosing initial approximations for these iterative methods and in-vestigate their efficiency in theory and practice.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제27권1호
• /
• pp.35-42
• /
• 2020

In this paper, numerical algorithms for solving a fuzzy system of linear equations with crisp coefficients are presented. We illustrate the efficiency and accuracy of the proposed methods by solving some numerical examples. We also provide a graphical representation of the fuzzy solutions in three-dimension as a visual reference of the solution of the fuzzy system.

• 대한수학회논문집
• /
• 제13권3호
• /
• pp.655-681
• /
• 1998

Discontinuous solutions or interfaces are common in nature, for examples, shock waves or material interfaces. However, their numerical computation is difficult by the feature of discontinuities. In this paper, we summarize the numerical approaches for discontinuities and interfaces appearing mostly in the system of hyperbolic conservation laws, and explain various numerical methods for them. We explain two numerical approaches to handle discontinuities in the solution: shock capturing and shock tracking, and illustrate their underlying algorithms and mathematical problems. The front tracking method is explained in details and the level set method is outlined briefly. The several applications of front tracking are illustrated, and the research issues in this field are discussed.

• 산업기술연구
• /
• 제33권A호
• /
• pp.73-80
• /
• 2013

This paper is results of numerical analysis on the behavior of colluvium slope with combinations of soil nails and earth anchors during excavation. In order to maintain the stability of the colluvium cut, being composed of gravel and boulder and thus local in stability being expected during slope cut, temporary reinforcing method of soil nailing with shotcrete might be used. Subsequent method of cast-in-place facing with earth anchors can be used to maintain cut slope stable permanently. For the cut slope where these methods had been applied, the numerical techniques were applied to their behaviors and investigate the stability of the slope. Limit equilibrium methods were used to confirm to maintain the slope stability during and after excavation and application of those reinforcing methods. Another numerical technique of FEM was also used to find the stress and strain as well as deformation distribution in reinforcing materials and slope ground during excavation.

• 한국전산유체공학회지
• /
• 제8권1호
• /
• pp.16-22
• /
• 2003

The present study introduces an architecture for performing efficient numerical analysis by using the Internet and three reconstructing methods of existing numerical analysis codes were presented in order to utilize the architecture. These methods were implemented into a computational fluid dynamics program for solving two-dimensional transient flow problems with free surface. The program was reconstructed with Java technologies and compared with the original one. This study will be a preparation for numerical analysis to participate in web services for engineering.