Integral Methods in Science and Engineering

1. Multiphase Flow Splitting in Looped Pipelines
L. Alvarez, R. S. Mohan, O. Shoham, L. Gomez, C. Avila

2. Green’s Function Decomposition Method for Transport Equation
F. S. Azevedo, E. Sauter, M. Thompson, M. T. Vilhena

3. Integral Neutron Transport and New Computational Methods: A Review
A. Barbarino, S. Dulla, P. Ravetto

4. Scale Invariance and Some Limits in Transport Phenomenology: Existence of a Spontaneous Scale
B. E. J. Bodmann, M. T. Vilhena, J. R. S. Zabadal, L. P. Luna Oliveira, A. Schuck

5. On Coherent Structures from a Diffusion-Type Model
B. E. J. Bodmann, J. R. S. Zabadal, A. Schuck, M. T. Vilhena, R. Quadros

6. Numerical Simulation of the Dynamics of Molecular Markers Involved in Cell Polarization
V. Calvez, N. Meunier, N. Muller, R. Voituriez

7. Analytical Study of Computational Radiative Fluxes in a Heterogeneous Medium
D. Q. Camargo, B. E. J. Bodmann, M. T. Vilhena, C. F. Segatto

8. A Novel Approach to the Hankel Transform Inversion of the Neutron Diffusion Problem Using the Parseval Identity
J. C. L. Fernandes, M. T. Vilhena, B. E. J. Bodmann

9. What Is Convergence Acceleration Anyway?
B. D. Ganapol

10. On the Fractal Pattern Phenomenology of Geological Fracture Signatures from a Scaling Law
I. Gioveli, A. J. Strieder, B. E. J. Bodmann, M. T. Vilhena, A. S. Athayde

11. Spectral Boundary Homogenization Problems in Perforated Domains with Robin Boundary Conditions and Large Parameters
D. Gómez, M. E. Pérez, T. A. Shaposhnikova

12. A Finite Element Formulation of the Total Variation Method for Denoising a Set of Data
P. J. Harris, K. Chen

13. On the Convergence of the Multi-group Isotropic Neutron LTS

N
Nodal Solution in Cartesian Geometry
E. B. Hauser, R. P. Pazos, M. T. Vilhena

14. Numerical Integration with Singularity by Taylor Series
H. Hirayama

15. Numerical Solutions of the 1D Convection–Diffusion–Reaction and the Burgers Equation Using Implicit Multi-stage and Finite Element Methods
C. A. Ladeia, N. M. L. Romeiro

16. Analytical Reconstruction of Monoenergetic Neutron Angular Flux in Non-multiplying Slabs Using Diffusion Synthetic Approximation
R. S. Mansur, R. C. Barros

17. On the Fractional Neutron Point Kinetics Equations
M. Schramm, C. Z. Petersen, M. T. Vilhena, B. E. J. Bodmann, A. C. M. Alvim

18. On a Closed Form Solution of the Point Kinetics Equations with a Modified Temperature Feedback
J. J. A. Silva, B. E. J. Bodmann, M. T. Vilhena, A. C. M. Alvim

19. Eulerian Modeling of Radionuclides in Surficial Waters: The Case of Ilha Grande Bay (RJ, Brazil)
F. F. Lamego Simões Filho, A. S. Aguiar, A. D. Soares, C. M. F. Lapa, M. A. V. Wasserman

20. Fractional Calculus: Application in Modeling and Control
J. Tenreiro Machado

21. Modified Integral Equation Method for Stationary Plate Oscillations
G. R. Thomson, C. Constanda

22. Nonstandard Integral Equations for the Harmonic Oscillations of Thin Plates
G. R. Thomson, C. Constanda, D. R. Doty

23. A Genuine Analytical Solution for the SN Multi-group Neutron Equation in Planar Geometry
F. K. Tomaschewski, C. F. Segatto, M. T. Vilhena

24. Single-Phase Flow Instabilities: Effect of Pressure Waves in a Pump–Pipe–Plenum–Choke System
R. A. M. Vieira, M. G. Prado

25. Two-Phase Flow Instabilities in Oil Wells: ESP Oscillatory Behavior and Casing-Heading
R. A. M. Vieira, M. G. Prado

26. Validating a Closed Form Advection–Diffusion Solution by Experiments: Tritium Dispersion after Emission from the Brazilian Angra Dos Reis Nuclear Power Plant
G. J. Weymar, D. Buske, M. T. Vilhena, B. E. J. Bodmann

Keywords: Mathematics, Integral Equations, Appl.Mathematics/Computational Methods of Engineering, Ordinary Differential Equations, Partial Differential Equations, Continuum Mechanics and Mechanics of Materials, Computational Mathematics and Numerical Analysis