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Birkhäuser

Integral Methods in Science and Engineering

Computational and Analytic Aspects

  • Book
  • © 2011

Overview

Editors:
  1. Christian Constanda

    1. , Department of Mathematical and Computer, The University of Tulsa, Tulsa, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Paul J. Harris

    1. School of Computing, Engineering, and Ma, University of Brighton, Brighton, United Kingdom

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    You can also search for this editor in PubMed   Google Scholar

  • Illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering
  • Chapters written by a diverse group of well-established scientists Applicable to a broad range of special subjects, including deformable structures, fluid dynamics, medical imaging, and energy analysis
  • Useful for an interdisciplinary audience of graduate students, researchers, and professionals across mathematics and the sciences
  • Includes supplementary material: sn.pub/extras

  • 73k Accesses

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About this book

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.

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Table of contents (37 chapters)

  1. Front Matter

    Pages I-XXV
    Download chapter PDF

  2. A Collocation Method for Cauchy Integral Equations in L 2

    • M. Ahues, A. Mennouni
    Pages 1-5

  3. On a New Definition of the Reynolds Number from the Interplay of Macroscopic and Microscopic Phenomenology

    • B. E. J. Bodmann, M. T. Vilhena, J. R. Zabadal, D. Beck
    Pages 7-14

  4. A Self-Consistent Monte Carlo Validation Procedure for Hadron Cancer Therapy Simulation

    • L. N. Burigo, D. Hadjimichef, B. E. J. Bodmann
    Pages 15-23

  5. A General Analytical Solution of the Advection–Diffusion Equation for Fickian Closure

    • D. Buske, M. T. Vilhena, C. F. Segatto, R. S. Quadros
    Pages 25-34

  6. A Novel Method for Simulating Spectral Nuclear Reactor Criticality by a Spatially Dependent Volume Size Control

    • D. Q. de Camargo, B. E. J. Bodmann, M. T. Vilhena, S. d. Q. B. Leite
    Pages 35-45

  7. Adaptive Particle Filter for Stable Distribution

    • H. F. de Campos Velho, H. C. Morais Furtado
    Pages 47-57

  8. On the Analytical Solution of the Multi-Group Neutron Diffusion Kinetic Equation in One-Dimensional Cartesian Geometry by an Integral Transform Technique

    • C. Ceolin, M. T. Vilhena, B. E. J. Bodmann
    Pages 59-67

  9. Estimating the Validity of Statistical Energy Analysis Using Dynamical Energy Analysis: A Preliminary Study

    • D. J. Chappell, G. Tanner
    Pages 69-78

  10. Efficient Iterative Methods for Fast Solution of Integral Operators Related Problems

    • K. Chen
    Pages 79-90

  11. Analysis of Some Localized Boundary–Domain Integral Equations for Transmission Problems with Variable Coefficients

    • O. Chkadua, S. E. Mikhailov, D. Natroshvili
    Pages 91-108

  12. Analysis of Segregated Boundary–Domain Integral Equations for Mixed Variable-Coefficient BVPs in Exterior Domains

    • O. Chkadua, S. E. Mikhailov, D. Natroshvili
    Pages 109-128

  13. Thermoelastic Plates with Arc-Shaped Cracks

    • I. Chudinovich, C. Constanda
    Pages 129-140

  14. Almost Periodicity in Semilinear Systems

    • C. Corduneanu
    Pages 141-146

  15. Bubble Behavior Near a Two Fluid Interface

    • G. A. Curtiss, D. M. Leppinen, Q. X. Wang, J. R. Blake
    Pages 147-158

  16. Spectral Stiff Problems in Domains with a Strongly Oscillating Boundary

    • D. Gómez, S. A. Nazarov, E. Pérez
    Pages 159-172

  17. Spectra and Pseudospectra of a Convection–Diffusion Operator

    • H. Guebbaï, A. Largillier
    Pages 173-180

  18. A Necessary and Sufficient Condition for the Existence of Absolute Minimizers for Energy Functionals with Scale Invariance

    • S. M. Haidar
    Pages 181-190

  19. Nonlinear Abel-Type Integral Equation in Modeling Creep Crack Propagation

    • L. Hakim, S. E. Mikhailov
    Pages 191-201

  20. Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals

    • P. J. Harris
    Pages 203-211
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Editors and Affiliations

  • , Department of Mathematical and Computer, The University of Tulsa, Tulsa, USA

    Christian Constanda

  • School of Computing, Engineering, and Ma, University of Brighton, Brighton, United Kingdom

    Paul J. Harris

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