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- Jerry P. Draayer
- 1998

Localized patterns and nonlinear oscillation formation on the bounded free surface of an ideal incompressible liquid are analytically investigated . Cnoidal modes, solitons and compactons, as traveling non-axially symmetric shapes are discused. A finite-difference differential generalized Korteweg-de Vries equation is shown to describe the three-dimensional… (More)

- Daniel Langr, Ivan Simecek, Pavel Tvrdík, Tomás Dytrych, Jerry P. Draayer
- 2012 Federated Conference on Computer Science and…
- 2012

Hierarchical storage formats (HSFs) can significantly reduce the space complexity of sparse matrices. They vary in storage schemes that they use for blocks and for block matrices. However, the current HSFs prescribe a fixed storage scheme for all blocks, which is not always space-optimal. We show that, generally, different storage schemes are space-optimal… (More)

- S. C. Park, Jerry P. Draayer, Si-Qing Zheng
- SAC
- 1992

A new representation of a sparse matrix is introduced that is very efficient for matrix multiplication when the nonzero elements are partially or fully adjacent to one another as in band or triangular matrices. Space complexity is better than that of the existing algorithms when the number of the groups of adjacent non-zero elements is less than two-thirds… (More)

- Tomás Dytrych, Kristina D Sviratcheva, Chairul Bahri, Jerry P. Draayer, James P. Vary
- Physical review letters
- 2007

Clear evidence for symplectic symmetry in low-lying states of 12C and 16O is reported. Eigenstates of 12C and 16O, determined within the framework of the no-core shell model using the J-matrix inverse scattering potential with A<or=16 (JISP16) nucleon-nucleon (NN) realistic interaction, typically project at the 85%-90% level onto a few of the most deformed… (More)

A simple entanglement measure for multipartite pure states is formulated based on the partial entropy of a series of reduced density matrices. Use of the proposed new measure to distinguish disentangled, partially entangled, and maximally entangled multipartite pure states is illustrated.

- Andrei Ludu, Rebecca O'Connell, Jerry P. Draayer
- Mathematics and Computers in Simulation
- 2003

- Feng Pan, Jerry P. Draayer
- 2008

The quantum critical behavior of the Bose-Hubbard model for a description of two coupled Bose-Einstein condensates is studied within the framework of an algebraic theory. Energy levels, wavefunction overlaps with those of the Rabi and Fock regimes, and the entanglement are calculated exactly as functions of the phase parameter and the number of bosons. The… (More)

A complete analysis of entangled triqubit pure states is carried out based on a new simple entanglement measure. An analysis of all possible extremally entangled pure triqubit states with up to eight terms is shown to reduce, with the help of SLOCC transformations, to three distinct types. The analysis presented are most helpful for finding different… (More)

Sparse matrix-vector multiplication (SpMV) is one of the most important numerical core methods in scientific and engineering computing. On today’s petascale and future exascale systems, the three principal problems related to SpMV are the minimization of communication between processors in distributed-memory environments, the maximization of the efficiency… (More)

- Daniel Langr, Pavel Tvrdík, Tomás Dytrych, Jerry P. Draayer
- TOOLS
- 2012

C++ does not support run-time resolution of template type arguments. To circumvent this restriction, we can instantiate a template for all possible combinations of type arguments at compile time and then select the proper instance at run time by evaluation of some provided conditions. However, for templates with multiple type parameters such a solution may… (More)