Analytical Approaches for Solving
Neutron Transport Problems
Professor Olga Martin
Applied Sciences Faculty
University "Politehnica" of Bucharest
Splaiul Independentei 313
The neutron flux is obtained as the solution of a
Boltzmann transport equation. In its various
integro-differential forms, this equation can be used to
solve problems from the following fields: nuclear
physics, astrophysics, radiative transport and transport
of particles in porous media. In the literature there
are several approaches based on the numerical methods
as: the least squares method , the finite element
method, Monte Carlo method, Fourier transform, Laplace
transform, spherical harmonics or PN method, Jacobi
polynomials approximation, truncated series of Chebyshev
polynomials. In this paper we replace our neutron
transport problem with an equivalent problem of
radiative transfer. The exact solutions for stationary
and non-stationary neutron transport equations
corresponding to various source functions are presented.
Some adjustments were made to agree the neutron
transport theory with astrophysical applications.
Brief Biography of the Speaker:
Olga Martin graduated the Faculty of Mathematics and
Mechanics, University of Bucharest, Romania. She
received his PhD in mathematics with the specialization
in Dynamic Plasticity with paper work 'Applications of
the Finite Element Method in Dynamic Plasticity'. During
of twenty years, she had been senior researcher in
Aircraft Institute, Strength Materials Department.
Technical experience: structural strength computing
reports using ANSYS program (wing-fuselage, fuselage
frame, fin, elevator, rudder and aileron), dynamic and
static test-programs for aircraft structures, fatigue
test-programs for aircraft structures, iterative methods
for the study of the reactions, which correspond to
movable control surfaces, attached at n – points to an
elastic structure and program of this, static and
fatigue computation of the propeller (mono-bloc hub,
blades and blades retention system).
Nowadays, she is Professor at Applied Sciences Faculty,
University "Politehnica" of Bucharest. Fields of
specialization: Mathematical Analysis, Mathematical
Physics, Computational and Experimental Solid Mechanics,
Numerical Analysis, Statistical Calculus. She has
published over 90 research papers and 18 books.
Member of the editorial boards: Politehnica Sci. Bull.
Series A, WSEAS Transactions on Applied and Theoretical
Mechanics, WSEAS Transactions on Mathematics and she was
involved in the program/organizing committees for many
Membership of Professional Societies: Society of
Computer Aided Engineering – Member National Union of
Romanian Scientists (Founding member), Balkan Society of
Geometers member, Romanian Society of Mathematicians.
Reviewer: WSEAS Press (books and journals), Scientific
Bulletin, University "Politehnica" of Bucharest
Scientific Evaluation Societies: RELANSIN, University
"Politehnica" of Bucharest, ARACIS, Bucharest,
Bucharest, National Science Fund of Bulgaria.