Applied Mathematics and Computation

Journal: Applied Mathematics and Computation

Publisher

Elsevier

ISSN

0096-3003
1873-5649

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Publications1 - 10 of 20

On a multidimensional half-discrete Hilbert-type inequality related to the hyperbolic cotangent function
Rassias, Michael Th.; Yang, Bicheng (2014)
Applied Mathematics and Computation
On a multidimensional Hilbert-type integral inequality associated to the gamma function
Rassias, Michael Th.; Yang, Bicheng (2014)
Applied Mathematics and Computation
A multidimensional half-discrete Hilbert-type inequality and the Riemann zeta function
Rassias, Michael T.; Yang, Bicheng (2013)
Applied Mathematics and Computation
On the a posteriori error analysis for linear Fokker-Planck models in convection-dominated diffusion problems
Kyas, Svetlana; Wolfmayr, Monika (2018)
Applied Mathematics and Computation
An algebraic perspective on integer sparse recovery
Fukshansky, Lenny; Needell, Deanna; Sudakovc, Benny (2019)
Applied Mathematics and Computation
Designing Gabor windows using convex optimization
Perraudin, Nathanaël; Holighaus, Nicki; Søndergaard, Peter L.; et al. (2018)
Applied Mathematics and Computation
A stencil-based implementation of Parareal in the C++ domain specific embedded language STELLA
Arteaga, Andrea; Ruprecht, Daniel; Krause, Rolf (2015)
Applied Mathematics and Computation
In view of the rapid rise of the number of cores in modern supercomputers, time-parallel methods that introduce concurrency along the temporal axis are becoming increasingly popular. For the solution of time-dependent partial differential equations, these methods can add another direction for concurrency on top of spatial parallelization. The paper presents an implementation of the time-parallel Parareal method in a C++ domain specific language for stencil computations (STELLA). STELLA provides both an OpenMP and a CUDA backend for a shared memory parallelization, using the CPU or GPU inside a node for the spatial stencils. Here, we intertwine this node-wise spatial parallelism with the time-parallel Parareal. This is done by adding an MPI-based implementation of Parareal, which allows us to parallelize in time across nodes. The performance of Parareal with both backends is analyzed in terms of speedup, parallel efficiency and energy-to-solution for an advection–diffusion problem with a time-dependent diffusion coefficient.
On a functional equation of trigonometric type
Jung, Soon-Mo; Rassias, Michael T.; Mortici, Cristinel (2015)
Applied Mathematics and Computation
Parallel profiling of water distribution networks using the Clement formula
Pezzi, Guilherme P.; Vaissie, Evelyne; Viala, Yann; et al. (2015)
Applied Mathematics and Computation
Numerical approach to the Stokes problem with high contrasts in viscosity
Lobanov, I.S.; Popov, I.Y.; Popov, A.I.; et al. (2014)
Applied Mathematics and Computation

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Journal: Applied Mathematics and Computation

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