University of Virginia, MSE 4270/6270: Introduction to Atomistic Simulations, Leonid Zhigilei
Deriving and solving differential equations (DE) is a common task in
computational research.
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Many physical laws/relations are formulated in terms of DE.
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Most continuum simulation methods are based on solution of DE.
Numerical solution of differential equations
Although the finite difference and the finite element methods typically used to solve DE
are often intuitively associated with largescale macroscopic problems, this association
is inadequate.
The methods are not calibrated to any physical time or length scale.
Numerical methods for solving DE is a vast and complex subject area.
In this lecture
we will only scratch the surface by briefly discussing several methods used for solving
a system of ordinary DE relevant to Particle Dynamics methods.
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View Full DocumentUniversity of Virginia, MSE 4270/6270: Introduction to Atomistic Simulations, Leonid Zhigilei
Particle Dynamics models:
Physical system is
represented as a sets of particles rather than
densities (fields) evolving over time.
Examples:
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 Fall '11
 Zhigilei
 Numerical Analysis, Partial differential equation, finite difference, Particle Dynamics

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