Affine Combination of Splitting Type Integrators, Implemented with Parallel Computing Methods

In this work we present a family of new convergent
type methods splitting high order no negative steps feature that
allows your application to irreversible problems. Performing affine
combinations consist of results obtained with Trotter Lie integrators
of different steps. Some examples where applied symplectic
compared with methods, in particular a pair of differential equations
semilinear. The number of basic integrations required is comparable
with integrators symplectic, but this technique allows the ability
to do the math in parallel thus reducing the times of which
exemplify exhibiting some implementations with simple schemes for
its modularity and scalability process.

Authors:

• Adrian Alvarez
• Diego Rial

Keywords:

• Lie Trotter integrators
• Irreversible Problems
• Splitting Methods without negative steps
• MPI
• HPC.

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