Presentation Title

Accelerating the Convergence of Infinite Series using Stronger Approximations

Presentation Type

Oral Presentation

School

School of Sciences and Social Sciences

Discipline

Mathematics

Mentor

Vincent Ferlini

Date & Time

April 9th at 9 AM - 10 AM

Location

David F. Putnam Science Center, Room 102

Abstract

The objective of this talk is to introduce three methods that transform a given convergent infinite series into another infinite series that converges to the same sum and that approximates the sum with fewer terms. This is referred to as accelerating a series. The benefit of this process is to use less computing power to gain good approximations. This presentation will focus on Kummer’s Acceleration Method, Aitken’s δ2 Process and Euler’s Transformation. Examples and applications will be included.

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Apr 9th, 12:00 AM

Accelerating the Convergence of Infinite Series using Stronger Approximations

David F. Putnam Science Center, Room 102

The objective of this talk is to introduce three methods that transform a given convergent infinite series into another infinite series that converges to the same sum and that approximates the sum with fewer terms. This is referred to as accelerating a series. The benefit of this process is to use less computing power to gain good approximations. This presentation will focus on Kummer’s Acceleration Method, Aitken’s δ2 Process and Euler’s Transformation. Examples and applications will be included.