Table of Contents
Parallel Programming for Particle Dynamics and Systems of Ordinary Differential Equations
Abstract of Parallel Programming for Particle Dynamics
Relationship of Error to Computational Approach
Classes of Physical Simulations
Applications reducing to Coupled set of Ordinary Differential Equations
Particle Dynamics or Equivalent Problems
Classes of Particle Problems
Circuit Simulations I
Circuit Simulations II
Discrete Event Simulations
Matrices and Graphs I
Matrices and Graphs II
Time Discretization
Estimate of Local Error in Euler’s Method
Status of Parallelism in Various N Body Cases
Simple Example of Euler’s Equation
Euler’s Method for ODE’s
What’s wrong with Euler’s Method?
Runge-Kutta Methods: Modified Euler I
Runge-Kutta Methods: Modified Euler II
Relation to General Speed Up and Efficiency Analysis
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