喀什师范学院学报
喀什師範學院學報
객십사범학원학보
JOURNAL OF KASHGAR TEACHERS COLLEGE
2015年
3期
10-12
,共3页
数值分析%插值法%三次样条插值%教学研究
數值分析%插值法%三次樣條插值%教學研究
수치분석%삽치법%삼차양조삽치%교학연구
Numerical analysis%Interpolation method%Cubic spline interpolation%Pedagogical rearch
三次样条插值由于良好的光滑性而在工程中应用非常广泛,同时又由于它的定义复杂、插值函数难于求解,使得三次样条插值成为教学中的重点和难点。为了使学生更加容易理解三次样条插值的概念,并熟练运用三次样条插值解决实际问题,在教学中首先通过实例激发学生思考,引起学生的学习兴趣;然后引入三次样条插值的概念,并从理论上给出三次样条插值的求解方法;最后再应用Matlab实现三次样条插值。
三次樣條插值由于良好的光滑性而在工程中應用非常廣汎,同時又由于它的定義複雜、插值函數難于求解,使得三次樣條插值成為教學中的重點和難點。為瞭使學生更加容易理解三次樣條插值的概唸,併熟練運用三次樣條插值解決實際問題,在教學中首先通過實例激髮學生思攷,引起學生的學習興趣;然後引入三次樣條插值的概唸,併從理論上給齣三次樣條插值的求解方法;最後再應用Matlab實現三次樣條插值。
삼차양조삽치유우량호적광활성이재공정중응용비상엄범,동시우유우타적정의복잡、삽치함수난우구해,사득삼차양조삽치성위교학중적중점화난점。위료사학생경가용역리해삼차양조삽치적개념,병숙련운용삼차양조삽치해결실제문제,재교학중수선통과실례격발학생사고,인기학생적학습흥취;연후인입삼차양조삽치적개념,병종이론상급출삼차양조삽치적구해방법;최후재응용Matlab실현삼차양조삽치。
Cubic Spline interpolation is widely applied in the engineering for its good smoothness. Also, cubic spline interpolation is treated as one important and tough section in the teaching and learning,since its definition is complicated and the difficulty to solve the interpolation functions. In order to make the students understand cubic spline interpolation more easily and solve practical problems with the spline interpolation skillfully, the teaching process can be undertaken through the following four steps. Firstly, inspires students to think and interests them by instance;secondly,introduces the concept of the spline interpolation;thirdly, solve cubic spline interpo-lation theoretically;finally, actualize cubic spline interpolation by Matlab.