Integral Methods in Science and Engineering Computational and Analytic Aspects [Hardcover]

An enormous array of problems encountered by scientists and engineers?are based on the design of mathematical models using many different types of ordinary differential, partial differential, integral, and integro-differential equations. Accordingly, the solutions of these equations are?of great interest to practitioners and to science in general.?Presenting?a wealth?of cutting-edge?research?by?a diverse group of?experts in the field,?Integral Methods in Science and Engineering:?Computational and Analytic Aspects?gives a vivid picture of both the development of theoretical integral techniques and their use in specific science and engineering problems.

This book?will be valuable for researchers in applied mathematics, physics, and mechanical and electrical engineering. It will likewise be a useful?study guide?for?graduate students in these disciplines, and for various other professionals who use integration as an essential technique in their work.

Preface.- Collocation Method for Cauchy Integral Equations in L^2.- On a New Definition of the Reynolds Number from the Interplay of Macroscopic and Microscopic Phenomenology.- A Self-Consistent Monte Carlo Validation Procedure for Hadron Cancer Therapy Simulation.- A General Analytical Solution of the AdvectionDiffusion Equation for Fickian Closure.- A Novel Method for Simulating Spectral Nuclear Reactor Criticality by Spatially Dependent Volume Size Control.- Adaptive Particle Filter for Stable Distribution.- On the Analytical Solution of the Multi-Group Neutron Kinetic Diffusion Equations in One-Dimensional Cartesian Geometry by the Integral Transformation Technique.- Estimating thel#œ