The modified trapezoidal rule for line integrals
نویسندگان
چکیده
منابع مشابه
The Exponentially Convergent Trapezoidal Rule
It is well known that the trapezoidal rule converges geometrically when applied to analytic functions on periodic intervals or the real line. The mathematics and history of this phenomenon are reviewed and it is shown that far from being a curiosity, it is linked with computational methods all across scientific computing, including algorithms related to inverse Laplace transforms, special funct...
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But this is not real life! Suppose next that we are still moving in a straight line but the force is variable: indeed, the typical example of this is that of a spring: suppose we have a mass M on a spring, and we stretch the mass a distance of x units from its equilibrium position. The spring will pull back in the opposite direction, and the early British scientist Robert Hooke formulated a sim...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1997
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)00071-x