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CPS615-End of N-Body Discussion and Beginning of Numerical Integration
Given by Geoffrey C. Fox at Delivered Lectures of CPS615 Basic Simulation Track for Computational Science on 15 October 96. Foils prepared 12 November 1996
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This finishes the last part of N body and ODE discussion fociussing on pipeline data parallel algorithm
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Note several foils were changed after presentation and so discussion is a little disconnected from foils at times
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We start Numerical Integration with a basic discussion of Newton-Cotes formulae (including Trapezoidal and Simpson's rule)
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We illustrate them pictorially
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This mixed presentation uses parts of the following base foilsets which can also
be looked at on their own!
CPS615Master96 Master Set of Foils for 1996 Session
of CPS615
CPS615-95E CPS615 Foils -- set E: ODE's and
Particle Dynamics
CPS615NI95 CPS615 Numerical Integration Module
CPS 615 Lectures 1996 Fall Semester -- October 15
CPS615Master96 068 001 Delivered Lectures for
CPS615 -- Base Course for
the Simulation Track of
Computational Science
Fall Semester 1996 --
Lecture of October 15 - 1996
CPS615Master96 076 002 Abstract of Oct 15 1996
CPS615 Lecture
Last Part of N Body Discussion
CPS615-95E 032 003 Simple Data Parallel Version
of N Body Force Computation
-- Grav -- I
CPS615-95E 033 004 The Grav Function in Data
Parallel Algorithm - II
CPS615-95E 034 005 Some Inefficiencies of the
N2 Algorithm - I
CPS615-95E 035 006 Some Inefficiencies of the
N2 Algorithm - II
CPS615-95E 036 007 Better Pipeline Algorithm
for Computation of
Accelerations,
taking 1/2 the iterations of
force computation - I
CPS615-95E 037 008 Pipeline Algorithm in detail
CPS615-95E 038 009 Basic pipeline operation
CPS615-95E 039 010 Examples of Pipeline
Algorithm
CPS615-95E 040 011 Pipeline Algorithm Grav --
Part I
CPS615-95E 041 012 Pipeline Algorithm for Grav
-- Part II
CPS615-95E 042 013 Grav Pipeline Algorithm,
concluded
CPS615-95E 043 014 Parallel Implementation - I
CPS615-95E 044 015 Parallel Execution Time -I
CPS615-95E 045 016 Parallel Execution Time -II
CPS615-95E 046 017 N-body Problem is a one
dimensional Algorithm
Start of Numerical Integration
CPS615NI95 001 018 1:Introduction to Numerical
Integration
CPS615NI95 002 019 2:NI.1: Newton-Cotes
Formulae
CPS615NI95 003 020 3:Linear Equations for
Coefficients
CPS615NI95 004 021 4:Examples of Newton Cotes
Rules I
CPS615NI95 005 022 5:Examples of Newton Cotes
Rules II
CPS615NI95 006 023 6:Formulae for Examples:
Trapezoidal and Simpson's
Rules
CPS615NI95 007 024 7:Summary of Newton Cotes
Rules
CPS615NI95 008 025 8:Errors in Newton Cotes
Formulae
CPS615NI95 009 026 9:Use of High Order Newton
Cotes
List of Foils Used as they occur
CPS615Master96 Master Set of Foils for 1996 Session
of CPS615
68 76
CPS615-95E CPS615 Foils -- set E: ODE's and
Particle Dynamics
32 33 34 35 36 37 38 39 40 41 42 43 44 45 46
CPS615NI95 CPS615 Numerical Integration Module
1 2 3 4 5 6 7 8 9
Sorted List of Foils Used
CPS615Master96 Master Set of Foils for 1996 Session
of CPS615
68 76
CPS615-95E CPS615 Foils -- set E: ODE's and
Particle Dynamics
32 33 34 35 36 37 38 39 40 41 42 43 44 45 46
CPS615NI95 CPS615 Numerical Integration Module
1 2 3 4 5 6 7 8 9
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