• 한국과학교육학회지
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• 제10권1호
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• pp.57-64
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• 1990

In this study, novices' protocols were investigated on the basis of Mayer's analysis of mathematical problem solving. These protocols were obtained by Jae-Sool Kwon and Seong-Wang Lee(1988) by means of thinking aloud while 20 sophomore students in a department of physics education were solving physics problems on Newton's low of motion. The results of investiqation are as follows; (1) We proposed an effective method in analyzing protocols on physics porblem solving (2) We could find the defective types of knowledge of individuals who got an incorrect solution, through analyzing the cause of failure individually (3) The fact that many students considered first the frictional force as muntiplying the coefficient of friction by perpendicular force rather than as resistance of motion, was found And students' misconception on the coefficient of friction was found. (4) If such analyses of test items and protocols are used in physics education, they will be very useful for finding the faults of problem-solving process, and for setting and scoring subjective problems in physics

• 대한수학회논문집
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• 제20권4호
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• pp.657-669
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• 2005

Calculations of some integrals on the n-dimensional vector space over $\mathbb{Q}_p$ are useful in getting some other formulations of quantum mechanics and the field theory of p-adic mathematical physics. For reasons of these, we estimate several integrals. As an application, we derive some properties for the p-adic Green functions.

• 대한수학회보
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• 제53권4호
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• pp.1113-1122
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• 2016

Let (M, g(t)) be a compact Riemannian manifold and the metric g(t) evolve by the Yamabe flow. In the paper we derive the evolution for the first eigenvalue of geometric operator $-{\Delta}_{\phi}+{\frac{R}{2}}$ under the Yamabe flow, where ${\Delta}_{\phi}$ is the Witten-Laplacian operator, ${\phi}{\in}C^2(M)$, and R is the scalar curvature with respect to the metric g(t). As a consequence, we construct some monotonic quantities under the Yamabe flow.

• 대한수학회보
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• 제50권4호
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• pp.1157-1171
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• 2013

In this paper, by using the $q$-difference analogue of lemma on the logarithmic derivative lemma to re-establish some estimates of Nevanlinna characteristics of $f(qz)$, we deal with the value distribution and uniqueness of certain types of $q$-difference polynomials.

• 대한수학회보
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• 제43권3호
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• pp.611-617
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• 2006

In this paper we construct q-Genocchi numbers and polynomials. By using these numbers and polynomials, we investigate the q-analogue of alternating sums of powers of consecutive integers due to Euler.

• 대한수학회지
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• 제49권4호
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• pp.765-778
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• 2012

We construct a symmetric finite volume element (SFVE) scheme for a self-adjoint elliptic problem on tetrahedron grids and prove that our new scheme has optimal convergent order for the solution and has superconvergent order for the flux when grids are quasi-uniform and regular. The symmetry of our scheme is helpful to solve efficiently the corresponding discrete system. Numerical experiments are carried out to confirm the theoretical results.

• 충청수학회지
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• 제24권2호
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• pp.359-370
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• 2011

In this work, we obtain new solitary wave solutions for some nonlinear partial differential equations. The Jacobi elliptic function rational expansion method is used to establish new solitary wave solutions for the combined KdV-mKdV and Klein-Gordon equations. The results reveal that Jacobi elliptic function rational expansion method is very effective and powerful tool for solving nonlinear evolution equations arising in mathematical physics.

• East Asian mathematical journal
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• 제37권5호
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• pp.619-626
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• 2021

In [1, 2], we studied the string-like system with time-varying delay. Unlike the string system, the plate system must consider both longitudinal and transverse strains. First, we consider the physical phenomenon of an axially moving plate concerning kinetic energy, potential energy, and work dones. By the energy conservation law in physics, we have a nonlinear plate-like system with internal time delay.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제27권4호
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• pp.487-498
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• 2013

본 논문은 한국 근대수학교육의 아버지 이상설(李相卨, 1870-1917)이 자연과학-물리학-에 기여한 내용을 다루고 있다. 이상설은 "수리(數理)"를 쓴 시기를 전후하여, 같은 시기에 붓으로 총 8면에 걸쳐 "백승호초(百勝胡艸)"라는 이름의 고전물리학 원고를 써서 남겼다. 분석결과 이 책의 원전은 1879년에 동경제대 의학부 교재로 발간된 "물리학(物理學)"이다. 이상설은 "백승호초"에서 먼저 개념을 정의하고, 일상에서 나타난 대표적 현상을 선록하여 한문으로 번역하였고, "물리학"의 전체 분량에서도 특히 '통유성(通有性)'에 중점을 두고 설명하였다. 동양에서 서양의 수리과학이 들어와야만 말할 수 있는 '질량보존의 법칙', '타성(惰性, 관성)'과 같은 고전물리학의 중요개념을 포함하는 내용이 19세기 말에 이미 이 책에 소개된 것으로 보아 이상설은 당대의 다른 저술에서 보기 힘들 정도로 당시 일반물리학의 최고수준의 원서를 통해 최신 정보를 수용하고 전파하기 위하여 노력하였음을 볼 수 있다.

• 한국해안해양공학회지
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• 제5권4호
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• pp.307-317
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• 1993

파랑의 비선형성 및 분산을 고려한, 연안역에서의 파랑변형에 관한 연구를 수행하였다. 규칙파의 변형에 관한 수학적 모형은 비선형 ray모델에 기초하였으며, ray 및 파동장에 관한 방정식들을 수립하였다. 비선형 파동장은 수정 Korteweg-de Vries 식으로서 나타내었으며, 이에 대한 몇몇 해석 해들을 구하였다. 또한 Caustic 변형 및 감쇄효과를 수학적 모형에 포함하였다. Korteweg-de Vries 방정식에 대한 수치계산 알고리즘과 안정조건을 기술하였으며, 연안역에서의 비선헝 파랑변형 계산 결과를 제시하였다.