| This uses the simple O(N2) Particle Dynamics Problem as a motivator to discuss solution of ordinary differential equations |
| We discuss Euler, Runge Kutta and predictor corrector methods |
| Various Message parallel O(N2) algorithms are described with performance comments |
| There is a related data parallel module sharing the same initial foils and another module with a discussion of advanced methods of this type (tree algorithms for Green's function solutions) for Earthquake science |
001 Parallel Programming for Particle Dynamics and Systems of
Ordinary Differential Equations
002 Abstract of Parallel Programming for Particle Dynamics
003 Relationship of Error to Computational Approach
004 Classes of Physical Simulations
005 Applications reducing to Coupled set of Ordinary Differential
Equations
006 Particle Dynamics or Equivalent Problems
007 Classes of Particle Problems
008 Circuit Simulations I
009 Circuit Simulations II
010 Discrete Event Simulations
011 Matrices and Graphs I
012 Matrices and Graphs II
013 Time Discretization
014 Estimate of Local Error in Euler's Method
015 Status of Parallelism in Various N Body Cases
016 Simple Example of Euler's Equation
017 Euler's Method for ODE's
018 What's wrong with Euler's Method?
019 Runge-Kutta Methods: Modified Euler I
020 Runge-Kutta Methods: Modified Euler II
021 Relation to General Speed Up and Efficiency Analysis