Integral Methods in Science and Engineering

Christian Constanda, PhD, is the Charles W. Oliphant Professor of Mathematics at The University of Tulsa, Oklahoma, USA Andreas Kirsch, PhD, is Professor in the Department of Mathematics at the Karlsruhe Institute of Technology, Karlsruhe, Germany.

1 Multiphase Flow Splitting in Looped Pipelines.- 2 Green’s Function Decomposition Method for Transport Equation.- 3 Integral Neutron Transport and New Computational Methods: A Review.- 4 Scale Invariance and Some Limits in Transport Phenomenology: Existence of a Spontaneous Scale.- 5 On Coherent Structures from a Diffusion-Type Model.- 6 Numerical Simulation of the Dynamics of Molecular Markers Involved in Cell Polarization.- 7 Analytical Study of Computational Radiative Fluxes in a Heterogeneous Medium.- 8 A Novel Approach to the Hankel Transform Inversion of the Neutron Diffusion Problem Using the Parseval Identity.- 9 What Is Convergence Acceleration Anyway?.- 10 On the Fractal Pattern Phenomenology of Geological Fracture Signatures from a Scaling Law.- 11 Spectral Boundary Homogenization Problems in Perforated Domains with Robin Boundary Conditions and Large Parameters.- 12 A Finite Element Formulation of the Total Variation Method for Denoising a Set of Data.- 13 On the Convergence of the Multi-Group Isotropic Neutron LTSN Nodal Solution in Cartesian Geometry.- 14 Numerical Integration with Singularity by Taylor Series.- 15 Numerical Solutions of the 1D Convection–Diffusion–Reaction and the Burgers Equation Using Implicit Multi-Stage and Finite Element Methods.- 16 Analytical Reconstruction of Monoenergetic Neutron Angular Flux in Non-multiplying Slabs Using Diffusion Synthetic Approximation.- 17 On the Fractional Neutron Point Kinetics Equations.- 18 On a Closed Form Solution of the Point Kinetics Equations With a Modified Temperature Feedback.- 19 Eulerian Modeling of Radionuclides in Surficial Waters: The Case of Ilha Grande Bay (RJ, Brazil).- 20 Fractional Calculus: Application in Modeling and Control.- 21 Modified Integral Equation Method for Stationary Plate Oscillations.- 22 Nonstandard Integral Equations for the Harmonic Oscillations of Thin Plates.- 23 A Genuine Analytical Solution forthe SN Multi-Group Neutron Equation in Planar Geometry.- 24 Single-Phase Flow Instabilities: Effect of Pressure Waves in a Pump–Pipe–Plenum–Choke System.- 25 Two-Phase Flow Instabilities in Oil Wells: ESP Oscillatory Behavior and Casing-Heading.- 26 Validating a Closed Form Advection–Diffusion Solution by Experiments: Tritium Dispersion after Emission from the Brazilian Angra Dos Reis Nuclear Power Plant.- Index.