94,251 research outputs found
Exponential Integrators on Graphic Processing Units
In this paper we revisit stencil methods on GPUs in the context of
exponential integrators. We further discuss boundary conditions, in the same
context, and show that simple boundary conditions (for example, homogeneous
Dirichlet or homogeneous Neumann boundary conditions) do not affect the
performance if implemented directly into the CUDA kernel. In addition, we show
that stencil methods with position-dependent coefficients can be implemented
efficiently as well.
As an application, we discuss the implementation of exponential integrators
for different classes of problems in a single and multi GPU setup (up to 4
GPUs). We further show that for stencil based methods such parallelization can
be done very efficiently, while for some unstructured matrices the
parallelization to multiple GPUs is severely limited by the throughput of the
PCIe bus.Comment: To appear in: Proceedings of the 2013 International Conference on
High Performance Computing Simulation (HPCS 2013), IEEE (2013
Highly accurate bound state calculations of the two-center molecular ions by using the universal variational expansion for three-body systems
The universal variational expansion for the non-relativistic three-body
systems is explicitly constructed. Three-body universal expansion can be used
to perform highly accurate numerical computations of the bound state spectra in
arbitrary three-body systems, including Coulomb three-body systems with
arbitrary particle masses and electric charges. Our main interest is related to
the adiabatic three-body systems which contain one bound electron and two heavy
nuclei of hydrogen isotopes: the protium , deuterium and tritium . We
also consider the analogous (model) hydrogen ion H with
the two infinitely heavy nuclei.
PACS number(s): 36.10.-k and 36.10.DrComment: version
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