# George DelicHiPERiSM Consulting, LLC · PO Box 569, Chapel Hill, NC 27514

George Delic

Doctor of Philosophy

## About

48

Publications

2,368

Reads

**How we measure 'reads'**

A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more

301

Citations

Citations since 2017

Introduction

**Skills and Expertise**

Additional affiliations

July 1998 - September 2018

**HiPERiSM Consulting, LLC**

Position

- Consultant

Education

January 1968 - April 1971

January 1964 - April 1968

## Publications

Publications (48)

This presentation covers thread parallel performance results for CMAQ 5.3 for a 101-day simulation and extends by far the results in [1]. Here attention is focused on the Gear, Rosenbrock, and EBI solvers in the Chemistry Transport Model (CTM), for both FSparse [1], and the legacy JSparse [2] algorithms. The former implements OpenMP thread parallel...

This presentation reports on integration of a new Chemistry Transport Model (CTM) sparse matrix algorithm (FSparse) as a replacement of the legacy JSparse algorithm in the U.S. EPA Community Multicscale Air Quality (CMAQ) model. This has been implemented in both Rosenbrock and Gear methods for aqueous chemistry in a hybrid MPI and OpenMP implementa...

This is the latest report on HiPERiSM's hybrid (MPI+OpenMP) version of the U.S. EPA's CMAQ model. It is specific to the Gear Solver algorithm and represents the culmination of a decade of development. Results are from HiPERiSM's 2 Tflops 128 core cluster.

The Kallman algorithm for the computation of the permanent, per(A), of a matrix A has been ported to the Cray C90, tested on other platforms, and compared against several alternative algorithms. This report presents results of these comparisons for test cases where the permanent is known and also for cases of the adjacency matrix taken from molecul...

The quasi-particle iteration method proposed by Rawitscher( G.H. Rawitscher, Phys. Rev., C25 (1982), 2196.) and studied by Rawitscher and Delic( G.H. Rawitscher and G. Delic, Phys. Rev., C29 (1984), 747 and 1153.) is reformulated in a Hilbert space H(barV) with a norm || g|| = &surd;( g,g) for the inner product ( f,g) =int_0^∞ f(r)g(r)barV(r)dr, wh...

Large-scale changes are taking place in the way modelling is performed within the US EPA, and a new generation of environmental models is currently under construction. The US EPA is engaging in several modelling efforts in response to Congressional mandates such as the Clean Air Act and the Clean Water Act. These mandates require the scientific mod...

Factor analysis was applied to supercomputer applica tions performance data recorded by the hpm hardware performance monitor on the Cray Y-MP for a sample of 146 user codes. The analysis reduced the volumi nous hpm data to five dominant factors which were used as performance metrics for applications code ex ecution on the Y-MP. Case studies of Fort...

A Performance Analysis Tools (PAT) report implement ing hpm and perftrace software, installed under UNICOS on CRAY X-MP and Y-MP systems, was de signed at the Ohio Supercomputer Center. The report presents a concise summary of code performance characteristics using 28 performance attributes grouped into four categories: operations and instruc tions...

Optical-model analyses have been performed with an optical-model code for 12C+12C elastic scattering in the center-of-mass energy range Ec.m.=35–63 MeV. A total of 125 parameter sets have been found and a taxonomy of potential families is proposed on the basis of volume integrals and rms radii. To complement this study four parameter sets at Elab=8...

It is shown how Newton–Sabatier methods (arising in inverse scattering at fixed energy) can be related to spectral measures and typically when they correspond to regular potentials. A number of spectral formulae for various transmutation kernels are also given in terms of general Kontorovič–Lebedev theory and connections to generating functions, ge...

Excitation functions for 12C+12C elastic scattering have been calculated in the center-of-mass energy range Ec.m.=15 to 95 MeV at c.m. angles of 50°, 70°, and 90° using optical-model parameters determined by fitting an angular distribution at Ec.m.=60.8 MeV. Conventional Woods-Saxon parameters for four families of different real well depth and with...

Title of program: CCFS Catalogue number: ABBO Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland (see application form in this issue) Computer: IBM 3083J24; Installation: University of the Witwatersrand Computer Centre Operating system: VM/SP HPO 4.2 Programming language used: FORTRAN VS LEVEL 1.4.1, LANGLVL (77...

Title of program: RKPC Catalogue number: ABBH Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland (see application form in this issue) Computer: IBM 3083J24; Installation: University of the Witwatersrand Computer Centre Operating system: VM/SP HPO 4.2 Programming language used: FORTRAN VS LEVEL 1.4.1, LANGLVL (77...

A Chebyshev polynomial method proposed previously was used to study the spectral properties of a non-self-adjoint Sturmian eigenvalue equation encountered in Quantum Scattering theory. A study of numerical convergence behaviour showed that improved convergence occurs for solutions corresponding to potentials which change sign in the interval of app...

Two spectral function methods are developed for linear and nonlinear diffusion equations in one dimension where the nonlinearity is in the inhomogeneous term and occurs as a power of the solution. In the single spectral function method polynomial spectral functions in the spatial variable are introduced. The spectral resolution of the diffusion equ...

A non-self-adjoint Sturmian eigenvalue equation of the form Av=f, encountered in quantum scattering theory, is solved as a complex general matrix eigenvalue problem. The matrix form is obtained on expansion of the solution in a discrete set of spherical Sturmian–Bessel functions of complex argument. This set of basis functions gives better converge...

A Chebyshev polynomial basis is proposed for the solution of Sturmian eigenvalue equations of the form Av = f which are encountered in Quantum Scattering theory. A is a non-self-adjoint second order differential operator and the solution is regular at the origin and has an outgoing wave boundary condition asymptotically. Introduction of the boundar...

Eigenfunctions for a set of coupled equations with outgoing wave boundary conditions in each channel n, called Weinberg states, are used to construct a separable representation of the matrix Green's functions Gnn′(r,r′). In terms of this representation, novel forms for the nonlocal optical potential in the elastic channel can be written, which take...

The scattering solution to the Lippmann-Schwinger equation is expanded into a set of spherical Bessel functions of complex wave numbers, Kj, with j=1,2,⋯,M. The value of each Kj is determined from the condition that the spherical Bessel function smoothly matches onto an asymptotically outgoing spherical Hankel (or Coulomb) function of the correct p...

Single neutron and proton quasi-elastic transfer in both directions have been studied in collisions of 48Ti onto 42Ca at ELab = 385 MeV. The main strength in the particle energy spectra lies below 12 MeV excitation energy and displays features specific to the reaction channel. A one-step direct transfer mechanism which includes core excitation desc...

The distribution of the isoscalar, T = 0, and isovector T = 1, strength of quadrupole modes in the deformed nucleus 24Mg is investigated. A finite-range residual interaction is used in the particle-hole basis of a rotating two-center shell-model potential of two 12C nuclei. The model calculation describes semi-quantitatively the main features of th...

The reaction 40Ca(16O, 15N)41Scg.s. has been investigated in the context of a model where the final single-particle state in 41Sc was modified or polarized due to the proximity of the other nucleus. Calculations, performed with the finite-range distorted waves Born approximation code KUNDRY, using two-centre shell model wavefunctions, demonstrate t...

Finite-range distorted-waves Born-approximation calculations, which included recoil effects exactly, were performed for the reaction 13C(3He, 6He)10C leading to the 0+, ground state and the 2+, 3.35 MeV state in 10C for a bombarding energy of 70.3 MeV. The results of the analysis showed that, contrary to the findings of a zero-range distorted-waves...

Two-dimensional quadrature formulas with a minimal number of points are applied to the computation of the double radial integral in the finite-range distorted-wave Born approximation for nuclear reactions. The resulting code kundry is fast, especially in cluster transfer reactions where the integrated area is largest. The code was used to investiga...

Two direct search methods have been applied to extract the optimum optical-model parameters for the elastic scattering of $^{14}\mathrm{N}$ by $^{12,13,14}\mathrm{C}$, $^{12}\mathrm{C}$ by $^{13,14}\mathrm{C}$, and $^{13}\mathrm{C}$ by $^{14}\mathrm{C}$ for center-of-mass energies in the range 7.8 to 12.6 MeV. The success of the analysis suggests t...

The effect of the deuteron D-state in the DWBA approach has been investigated for seven transitions in the reaction 52Cr(, p)53Cr at 10 MeV bombarding energy employing an exact finite-range method with a realistic neutron-proton potential and the corresponding deuteron wave function of Reid. Inclusion of the D-state gives a much better description...

The direct search with pattern search technique of Hooke and Jeeves has been programmed to search for heavy-ion optical model parameters and the results of unconstrained searches using this method for 16O + 11B elastic scattering are presented.

A quadrature formula which may be used to evaluate the coefficients of the Legendre series is presented. The formula is of more general interest in that it is a quadrature for a Legendre polynomial weight function. An example demonstrates the usefulness of this formula which is also relevant to the finite range Distorted Waves Born Approximation me...

The effect of the deuteron D-state on exact finite-range DWBA calculations has been investigated for l = 3 transitions in the reaction 54Cr(p, d)53Cr leading to the 1.001 MeV (5/2-) and 1.284 MeV (7/2-) levels at 17.5 MeV proton bombarding energy. The effect upon the j-dependence of the differential cross sections and the corresponding proton analy...

The effect of the deuteron D-state on exact finite-range DWBA calculations has been studied for l = 1 transitions in two reactions: 40Ca(d, p)41Ca leading to the 2.47(3/2-) and 3.95 MeV(1/2-) levels for incident deuteron energies of 7 and 9 MeV and 16O(p, d)15O leading to the ground (1/2-) and 6.18 MeV (3/2-) states for incident proton energies of...

The effect of the deuteron D-state on DWBA calculations for deuteron stripping has been studied for l = 1 transitions in the 52Cr(d, p)53Cr reaction leading to the ground ( 3 2-) and 0.57 MeV ( 1 2-) states. The D-state has been included in an exact treatment using a soft-core neutron-proton potential and the corresponding deuteron wave function of...

This report examines performance of four models with two compil-ers on the Intel Pentium 4 Xeon processor using the PAPI performance event library to collect performance counter values. The intent is to identify perform-ance metrics that indicate where performance inhibiting factors occur when the codes execute. Results for operations, instructions...

In the last few years it has become clear that the effect of the shifting centers of mass (recoil effect) have to be properly incorporated into the theory of single nucleon transfer between nuclei, especially at higher energies. A re-examination of the present theory reveals, however, that there remains a serious problem, which is associated with t...

Finite-range distorted-waves Born-approximation calculations, which included recoil effects exactly, were performed for the reaction Â¹Â³C(Â³He, â¶He)Â¹Â°C leading to the 0/sup +/, ground state and the 2/sup +/, 3.35 MeV state in Â¹Â°C for a bombarding energy of 70.3 MeV. The results of the analysis showed that, contrary to the findings of a zero-...

Evidence is presented for the polarizability of nuclear wave functions in heavy-ion transfer reactions. The polarization of the wave function of the transferred nucleon is largest for weakly bound nucleons, depends on the bombarding energy (being largest for low-energy (slow) collisions) and produces a shift toward forward angle. Results of an adia...

If two nuclei could be placed next to each other at a distance typical of grazing collisions, the single-particle states in each would adjust themselves to the presence of the other nucleus. They would develop an appreciable probability of being in the other nucleus, and the more weakly bound the state, the more strongly it would be polarized by th...

The j-dependence of several ; l = 1 transitions in the 50Cr(d, p)51Cr and 52Cr(d, p)53Cr reactions at 7.5 and 8.0 MeV deuteron bombarding energy, respectively, has been qualitatively described using the distorted-wave theory. This description required a rather different deuteron potential from that obtained by fitting elastic-scattering data which...

The effect of possible tensor forces in the deuteron-nucleus interaction on DWBA calculations for deuteron stripping has been studied for l = 1 transitions in the 40Ca(d, p)41Ca reaction leading to the 2.47 MeV (3-/2) and 3.95 MeV (1-/2) levels. The j-dependence of the cross sections and vector analysing powers has been investigated.

## Projects

Projects (4)

Book length manuscript to describe the collect algorithms I have developed and/or published over 50 years. The text material will cover numerical analysis and background sufficient to introduce the examples. Target audience is undergraduate seniors and postgraduates in physical or engineering sciences requiring only knowledge of calculus and some coding ability.

Publish the algorithms I have developed over my career available as free software at https://github.com/hiperism. (Updated as time allows).

A collection of algorithms developed in FORTRAN is in the process of upload to GITHUB. This collection represents algorithms I have formulated over the course of my career and is make available to researches under a GNU Public License. Updates and locations will be posted here from time to time.