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You searched for +publisher:"Old Dominion University" +contributor:("Francis Badavi"). Showing records 1 – 2 of 2 total matches.

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1. Gerstner, Candice Rockell. A Three Dimensional Green's Function Solution Technique for the Transport of Heavy Ions in Laboratory and Space.

Degree: PhD, Mathematics and Statistics, 2011, Old Dominion University

In the future, astronauts will be sent into space for longer durations of time compared to previous missions. The increased risk of exposure to ionizing radiation, such as Galactic Cosmic Rays and Solar Particle Events, is of great concern. Consequently, steps must be taken to ensure astronaut safety by providing adequate shielding. The shielding and exposure of space travelers is controlled by the transport properties of the radiation through the spacecraft, its onboard systems and the bodies of the individuals themselves. Meeting the challenge of future space programs will therefore require accurate and efficient methods for performing radiation transport calculations to analyze and predict shielding requirements. One such method, which is developed in this dissertation, is based on a three dimensional Green's function solution technique for the transport of heavy ions in both laboratory and space. Advisors/Committee Members: John Tweed, Gordon Melrose, John Adam, Francis Badavi, Steve Blattnig.

Subjects/Keywords: Galactic cosmic rays; Green's function solution; Ionization; Radiation; Shielding; Solar particles; Transport of heavy ions; Applied Behavior Analysis; Astrophysics and Astronomy; Inorganic Chemistry; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Gerstner, C. R. (2011). A Three Dimensional Green's Function Solution Technique for the Transport of Heavy Ions in Laboratory and Space. (Doctoral Dissertation). Old Dominion University. Retrieved from 9781124635453 ; https://digitalcommons.odu.edu/mathstat_etds/17

Chicago Manual of Style (16th Edition):

Gerstner, Candice Rockell. “A Three Dimensional Green's Function Solution Technique for the Transport of Heavy Ions in Laboratory and Space.” 2011. Doctoral Dissertation, Old Dominion University. Accessed October 13, 2019. 9781124635453 ; https://digitalcommons.odu.edu/mathstat_etds/17.

MLA Handbook (7th Edition):

Gerstner, Candice Rockell. “A Three Dimensional Green's Function Solution Technique for the Transport of Heavy Ions in Laboratory and Space.” 2011. Web. 13 Oct 2019.

Vancouver:

Gerstner CR. A Three Dimensional Green's Function Solution Technique for the Transport of Heavy Ions in Laboratory and Space. [Internet] [Doctoral dissertation]. Old Dominion University; 2011. [cited 2019 Oct 13]. Available from: 9781124635453 ; https://digitalcommons.odu.edu/mathstat_etds/17.

Council of Science Editors:

Gerstner CR. A Three Dimensional Green's Function Solution Technique for the Transport of Heavy Ions in Laboratory and Space. [Doctoral Dissertation]. Old Dominion University; 2011. Available from: 9781124635453 ; https://digitalcommons.odu.edu/mathstat_etds/17

2. Slaba, Tony Charles. Three Methods for Solving the Low Energy Neutron Boltzmann Equation.

Degree: PhD, Mathematics and Statistics, 2007, Old Dominion University

The solution to the neutron Boltzmann equation is separated into a straightahead component dominating at high energies and an isotropic component dominating at low energies. The high-energy solution is calculated using HZETRN-05, and the low-energy isotropic component is modeled by two non-coupled integro-differential equations describing both forward and backward neutron propagation. Three different solution methods are then used to solve the equations. The collocation method employs linear I3-splines to transform each equation into a system of ODES; the resulting system is then solved exactly and evaluated using numerical integration techniques. Wilson's method uses a perturbational approach in which a fundamental solution is obtained by solving a simple ODE, a new source term is generated by the fundamental solution, and the collocation method is then used to solve the remaining equation. The fixed-point series method extends Wilson's method by continuing the perturbational procedure until desired convergence criteria are met. In all three cases, the total neutron flux is found by adding the forward and backward components. Comparisons are made between the three methods in one, two and three layer configurations in various space environments and compared to Monte Carlo data where available. Advisors/Committee Members: John Tweed, John H. Heinbockel, Gordon Melrose, Francis Badavi, Steve Blattnig.

Subjects/Keywords: Boltzmann equations; Neutron Boltzmann equation; Ordinary differential equations; Ordinary Differential Equations and Applied Dynamics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Slaba, T. C. (2007). Three Methods for Solving the Low Energy Neutron Boltzmann Equation. (Doctoral Dissertation). Old Dominion University. Retrieved from 9780549255642 ; https://digitalcommons.odu.edu/mathstat_etds/57

Chicago Manual of Style (16th Edition):

Slaba, Tony Charles. “Three Methods for Solving the Low Energy Neutron Boltzmann Equation.” 2007. Doctoral Dissertation, Old Dominion University. Accessed October 13, 2019. 9780549255642 ; https://digitalcommons.odu.edu/mathstat_etds/57.

MLA Handbook (7th Edition):

Slaba, Tony Charles. “Three Methods for Solving the Low Energy Neutron Boltzmann Equation.” 2007. Web. 13 Oct 2019.

Vancouver:

Slaba TC. Three Methods for Solving the Low Energy Neutron Boltzmann Equation. [Internet] [Doctoral dissertation]. Old Dominion University; 2007. [cited 2019 Oct 13]. Available from: 9780549255642 ; https://digitalcommons.odu.edu/mathstat_etds/57.

Council of Science Editors:

Slaba TC. Three Methods for Solving the Low Energy Neutron Boltzmann Equation. [Doctoral Dissertation]. Old Dominion University; 2007. Available from: 9780549255642 ; https://digitalcommons.odu.edu/mathstat_etds/57

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