Numerical analysis | Asymptotic analysis | Summability methods | Perturbation theory

Series acceleration

In mathematics, series acceleration is one of a collection of sequence transformations for improving the rate of convergence of a series. Techniques for series acceleration are often applied in numerical analysis, where they are used to improve the speed of numerical integration. Series acceleration techniques may also be used, for example, to obtain a variety of identities on special functions. Thus, the Euler transform applied to the hypergeometric series gives some of the classic, well-known hypergeometric series identities. (Wikipedia).

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3_1 Introduction to Series

Introductory talk on series. Defining a series as a sequence of partial sums.

From playlist Advanced Calculus / Multivariable Calculus

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C69 Introduction to power series

A quick look at power series. They can be used as solutions to linear differential equations with variable coefficients.

From playlist Differential Equations

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C70 The ratio test for power series

A quick reminder of the ratio test for power series convergence.

From playlist Differential Equations

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Differential Equations | Series Solutions Example 4

We find a series solution to a second order linear differential equation. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Series Solutions for Differential Equations

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Math 139 Fourier Analysis Lecture 10.1 L^2 convergence of Fourier Series

(Unfortunately I taped only part of this lecture.) Fourier series converges to the function in the L^2 sense.

From playlist Course 8: Fourier Analysis

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What is a series?

Definition and examples of series. In this video, I define the notion of a series using partial sums, and give a couple of examples of series. I also show the fact used in many times in calculus that a series converges if and only if it is bounded, which is used many times in calculus. Enj

From playlist Series

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What Does It Mean For A Series To Converge?

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys What Does It Mean For A Series To Converge? A series convergences to S if the sequence of partial sums converges to S. In this video I try to explain it and give an example. The example given is a version of Zeno's Dichotomy Paradox

From playlist Calculus 2 Exam 4 Playlist

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3_6_2 Alternating Series

The alternating series. Test for convergence.

From playlist Advanced Calculus / Multivariable Calculus

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(New Version Available) Arithmetic Series

New Version: https://youtu.be/GZH68SubgRE This video introduces arithmetic series. http://mathispower4u.yolasite.com/

From playlist Sequences and Series

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Intel Xeon D's Go-FAST Feature

We take a look at Intel's secret weapon against AMD and Arm. We benchmark Intel Xeon D-2700 series QuickAssist (QAT) accelerators. We also compare it to the AMD EPYC 3000 series. Not only do we have Ice Lake D versus the EPYC 3451, but we also have hands-on numbers with 4th Gen Intel Xeon

From playlist Networking on STH

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Intel QuickAssist is a "Cheat Code" for Server Performance

Intel QuickAssist Technology is a game-changer for many compression and crypto workloads in servers. We go into the technology, its performance, and some of the gotchas to see how much Intel QAT accelerates a dual-socket Intel Xeon Gold 6338N ("Ice Lake") server compared to an AMD EPYC 751

From playlist Cool Server Hardware Series

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Proportional Reasoning with F=m*a

So acceleration is directly proportional to net force and inversely proportional to mass. But what does all that mean? This video explains the meaning of this principle and demonstrates how to use it to predict an acceleration value. Care is taken to describe how a change in one variable (

From playlist Newton's Laws Video Tutorial Series

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$17K Sapphire Rapids Server CPU! Hands-on with the new Intel Xeon

Intel just launched the $17,000 Intel Xeon Platinum 8490H processor as part of the 4th Gen Intel Xeon Scalable/ Sapphire Rapids line. Check out the new SPR Supermicro X13 series here: https://www.youtube.com/watch?v=ZrOdgsxElG0&list=PLQ_n1uG16HvSfyUGwE1vjMI2OPvZRWP_Q We get hands-on with

From playlist Cool Server Hardware Series

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Free Fall and Newtons Second Law

So you've heard that all objects free-fall at the same rate. Yet you know that a heavy boulder would fall faster than a feather. So what's up with that? The Physics Classroom explains the physics of falling, distinguishing between falling with and without air resistance. Using Newton's sec

From playlist Newton's Laws Video Tutorial Series

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Velocity-Time Graphs: Determining the Acceleration

Many Physics students become frustrated and confused once the topic of Kinematic Graphing is covered. But it doesn't need to be that way.  This is the third of four videos explaining the details for understanding velocity-time graphs. This video focuses on the use of a slope calculation to

From playlist Kinematics Video Tutorial Series

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Episode 2: The Law Of Falling Bodies - The Mechanical Universe

Episode 2. The Law of Falling Bodies: Galileo's imaginative experiments proved that all bodies fall with the same constant acceleration. “The Mechanical Universe,” is a critically-acclaimed series of 52 thirty-minute videos covering the basic topics of an introductory university physics c

From playlist The Mechanical Universe

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Episode 6: Newton's Laws - The Mechanical Universe

Episode 6. Newton's Laws: Newton lays down the laws of force, mass, and acceleration. “The Mechanical Universe,” is a critically-acclaimed series of 52 thirty-minute videos covering the basic topics of an introductory university physics course. Each program in the series opens and closes

From playlist The Mechanical Universe

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FINALLY! New Intel Xeon D. Hello Ice Lake-D!

Welcome to the era of Intel Ice Lake-D. We have launch day details for the new Intel Xeon D-2700 and Xeon D-1700 series processors. This includes hands-on benchmarks and power figures as well as details about the new 100GbE/ 25GbE options, QuickAssist Technology, and more. STH Main Site A

From playlist Server Processors on STH

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A Parametric Geometry Treatment of Two Acceleration Fields

Galileo discovered properties of Earths Uniform Acceleration Field about the same time Johann Kepler uncovered the problematic fit of circles with observed period curve of Mars. Circular orbit curves for Subscript[M, 2] cannot accommodate period curves of Subscript[M, 2]. The difficulty of

From playlist Wolfram Technology Conference 2021

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Differential Equations | Series solution for a second order linear differential equation.

We find a series solution for a second order linear differential equation. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Series Solutions for Differential Equations

Related pages

Numerical integration | Summation | Derivative | Radius of convergence | Shanks transformation | Minimum polynomial extrapolation | Special functions | Branch point | Sequence | Kummer's transformation of series | Complex plane | Sequence transformation | Richardson extrapolation | Mathematics | Function (mathematics) | Van Wijngaarden transformation | Limit of a sequence | Perturbation theory | Series (mathematics) | Divergent series | Numerical analysis | Padé approximant | Rate of convergence | Alternating series | Singularity (mathematics) | Essential singularity | Alexander Aitken