شماره ركورد كنفرانس :
3835
عنوان مقاله :
Cubic spline method for highly oscillatory integrals
پديدآورندگان :
Alipanah Amjad Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran , Firoozi Medina Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran
كليدواژه :
Oscillatory integral , Cubic spline interpolation , moment , stationary points
عنوان كنفرانس :
اولين كنفرانس بين المللي مديريت، نوآوري و توليد ملي
چكيده فارسي :
In this paper, clamped cubic spline interpolation method is being proposed for evaluation highly oscillatory integrals and integrals without stationary points. The numerical solution calculated using moments on each of the intervals can be achieved. Theoretical facts about the error analysis of the cubic spline method is analyzed and proved. This method is compared with existing methods, and applied to a number of benchmark problems. Accuracy of the method is measured in terms of relative errors
