#### 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.

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.