Analysis of parallel algorithms
Software is said to exhibit scalable parallelism if it can make use of additional processors to solve larger problems,i.e. this term refers to software for which Gustafson's law holds.Consider a program whose execution time is dominated by one or more loops,each of that updates every element of an array ---for example, the following finite difference heat equation stencil calculation: for t := 0 to T do for i := 1 to N-1 do new(i) := (A(i-1) + A(i) + A(i) + A(i+1)) * .25 // explicit forward-difference with R = 0.25 end for i := 1 to N-1 do A(i) := new(i) endend In the above code, we can execute all iterations of each "i" loop concurrently,i.e., turn each into a parallel loop.In such cases,it is often possible to make effective use of twice as many processors for a problem of array size 2Nas for a problem of array size N.As in this example, scalable parallelism is typically a form of data parallelism.This form of parallelism is often the target of automatic parallelization of loops. Distributed computing systems and non-uniform memory access architecturesare typically the most easily scaled to large numbers of processors,and thus would seem a natural target for software that exhibits scalable parallelism.However, applications with scalable parallelism may not have parallelism ofsufficiently coarse grainto run effectively on such systems (unless the software is embarrassingly parallel).In our example above, the second "i" loop is embarrassingly parallel,but in the first loop each iteration requires results produced in several prior iterations.Thus, for the first loop, parallelization may involve extensive communication or synchronization among processors,and thus only result in a net speedup if such interactions have very low overhead,or if the code can be transformed to resolve this issue (i.e., by combined scalable locality/scalable parallelism optimization). (Wikipedia).
https://goo.gl/e6wdj2 for more FREE video tutorials covering Engineering Mechanics (Statics & Dynamics) The objectives of this video are to review the scalar & vector concept and to do distinguish between scalars and vectors. First of all, the video gives definition of scalar & vector whe
From playlist SpoonFeedMe: Engineering Mechanics (Statics & Dynamics)
This video explains how to determine if vectors are parallel. http://mathispower4u.yolasite.com/
From playlist Vectors
What are parallel lines and a transversal
๐ Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
What is the Consecutive Interior Angle Converse Theorem
๐ Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
Multivariable Calculus | The scalar multiple of a vector.
We define scalar multiplication in the context of 2 and 3 dimensional vectors. We also present a few properties of scalar multiplication and vector addition. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
Proving Parallel Lines with Angle Relationships
๐ Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
From playlist Parallel Programming Concepts by Dr. Peter Troger
This shows an interactive illustration that explains that parallel vectors can have either the same or opposite directions. The clip is from the book "Immersive Linear Algebra" at http://www.immersivemath.com
From playlist Chapter 2 - Vectors
What are the Angle Relationships for Parallel Lines and a Transversal
๐ Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
RubyConf 2010 - Pwrake : a Distributed Workflow Engine for e-Science by: Masahiro Tanaka
e-Science is scientific research enabled by widely distributed computational resources in collaboration among several institutes. One of issues in making use of e-Science infrastructure is to define complex workflows (composition of many tasks and their dependencies). We propose to employ
From playlist RubyConf 2010
Up Your R Game - Break Through R Limitations
Originally aired on July 29, 2014. Open source R is no longer a fad or a tool used in the academic world. According to the Rexer survey,* R is the analytic software of choice for data scientists, business analysts, and data miners in the corporate world. Despite R's popularity, pervasive
From playlist O'Reilly Webcasts 3
The Future of Rails 6: Scalable by Default
We've all heard the phrase "Rails doesn't scale". Long running test suites and no standard for implementing multiple databases makes it hard scale monolithic Rails applications. Rails 6 will start making Rails scalable by default with parallel testing and improved support for using multipl
From playlist Software Development
Enabling Rapid COVID-19 Small Molecule Drug Design Through Scalable Deep Learning Generative Models
A Lawrence Livermore National Laboratory team developed an accurate and efficient generative machine learning model to enable COVID-19 researchers to produce novel compounds that could possibly treat the disease. Using Sierra, the worldโs third-fastest supercomputer, the team trained the
From playlist Center for Applied Scientific Computing
Pascal Hรฉnon: Linear solvers for reservoir simulation
Abstract: In this presentation, we will first present the main goals and principles of reservoir simulation. Then we will focus on linear systems that arise in such simulation. The main HPC challenge is to solve those systems efficiently on massively parallel computers. The specificity of
From playlist Numerical Analysis and Scientific Computing
RailsConf 2018: Keynote: The Future of Rails 6: Scalable by Default by Eileen Uchitelle
RailsConf 2018: Keynote: The Future of Rails 6: Scalable by Default by Eileen Uchitelle
From playlist RailsConf 2018
Paul Mikesell (CEO, Clustrix) interviewed at Web 2.0 Expo SF 2010
Prior to starting Clustrix, Paul was the founder and director of engineering at Isilon Systems, the proven leader in scale-out NAS storage solutions. After five years, Isilon achieved the best opening performance for a technology IPO in the previous six years. Paul designed, architected, a
From playlist Web 2.0 Expo San Francisco 2010
Lec 17 | MIT 6.189 Multicore Programming Primer, IAP 2007
Lecture 17: The Raw experience License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu Subtitles are provided through the generous assistance of Rohan Pai.
From playlist MIT 6.189 Multicore Programming Primer, January (IAP) 2007
What is the Corresponding Angle Converse Theorem
๐ Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal