Integral Methods in Science and Engineering, Volume 2

1. Front Matter

   Pages i-xix

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2. Error Bounds for L ¹ Galerkin Approximations of Weakly Singular Integral Operators

   • M. Ahues, F. D. d’Almeida, R. Fernandes

   Pages 1-10

3. Construction of Solutions of the Hamburger–Löwner Mixed Interpolation Problem for Nevanlinna Class Functions

   • J. A. Alcober, I. M. Tkachenko, M. Urrea

   Pages 11-20

4. A Three-Dimensional Eutrophication Model: Analysis and Control

   • L. J. Alvarez-Vázquez, F. J. Fernández, R. Muñoz-Sola

   Pages 21-31

5. An Analytical Solution for the Transient Two-Dimensional Advection–Diffusion Equation with Non-Fickian Closure in Cartesian Geometry by the Generalized Integral Transform Technique

   • D. Buske, M. T. Vilhena, D. Moreira, T. Tirabassi

   Pages 33-40

6. A Numerical Solution of the Dispersion Equation of Guided Wave Propagation in N-Layered Media

   • J. Cardona, P. Tabuenca, A. Samartin

   Pages 41-53

7. Discretization of Coefficient Control Problems with a Nonlinear Cost in the Gradient

   • J. Casado-Díaz, J. Couce-Calvo, M. Luna-Laynez, J. D. Martín-Gómez

   Pages 55-63

8. Optimal Control and Vanishing Viscosity for the Burgers Equation

   • C. Castro, F. Palacios, E. Zuazua

   Pages 65-90

9. A High-Order Finite Volume Method for Nonconservative Problems and Its Application to Model Submarine Avalanches

   • M. J. Castro Díaz, E. D. Fernández-Nieto, J. M. González-Vida, A. Mangeney, C. Parés

   Pages 91-101

10. Convolution Quadrature Galerkin Method for the Exterior Neumann Problem of the Wave Equation

    • D. J. Chappell

    Pages 103-112

11. Solution Estimates in Classical Bending of Plates

    • I. Chudinovich, C. Constanda, D. Doty, A. Koshchii

    Pages 113-120

12. Modified Newton’s Methods for Systems of Nonlinear Equations

    • A. Cordero, J. R. Torregrosa

    Pages 121-130

13. Classification of Some Penalty Methods

    • A. Correia, J. Matias, P. Mestre, C. Serôdio

    Pages 131-140

14. A Closed-Form Formulation for Pollutant Dispersion in the Atmosphere

    • C. P. Costa, M. T. Vilhena, T. Tirabassi

    Pages 141-150

15. High-Order Methods for Weakly Singular Volterra Integro-Differential Equations

    • T. Diogo, M. Kolk, P. Lima, A. Pedas

    Pages 151-160

16. Numerical Solution of a Class of Integral Equations Arising in a Biological Laboratory Procedure

    • D. A. French, C. W. Groetsch

    Pages 161-171

17. A Mixed Two-Grid Method Applied to a Fredholm Equation of the Second Kind

    • L. Grammont

    Pages 173-181

18. Homogenized Models of Radiation Transfer in Multiphase Media

    • A. V. Gusarov, I. Smurov

    Pages 183-192

19. A Porous Finite Element Model of the Motion of the Spinal Cord

    • P. J. Harris, C. Hardwidge

    Pages 193-201

20. Boundary Hybrid Galerkin Method for Elliptic and Wave Propagation Problems in ℝ3 over Planar Structures

    • C. Jerez-Hanckes, J.-C. Nédélec

    Pages 203-212

TheinternationalconferencesonIntegralMethodsinScienceandEngineering (IMSE) are biennial opportunities for academics and other researchers whose work makes essential use of analytic or numerical integration methods to discuss their latest results and exchange views on the development of novel techniques of this type. The ?rst two conferences in the series, IMSE1985 and IMSE1990, were hosted by the University of Texas–Arlington. At the latter, the IMSE c- sortium was created and charged with organizing these conferences under the guidance of an International Steering Committee. Subsequently, IMSE1993 took place at Tohoku University, Sendai, Japan, IMSE1996 at the University of Oulu, Finland, IMSE1998 at Michigan Technological University, Houghton, MI, USA, IMSE2000 in Ban?, AB, Canada, IMSE2002 at the University of ´ Saint-Etienne, France, IMSE2004 at the University of Central Florida, - lando, FL, USA, and IMSE2006 at Niagara Falls, ON, Canada. The IMSE conferences are now recognized as an important forum where scientists and engineers working with integral methods express their views about, and int- act to extend the practical applicability of, a very elegant and powerful class of mathematical procedures. A distinguishing characteristic of all the IMSE meetings is their general atmosphere—a blend of utmost professionalism and a strong collegial-social component. IMSE2008, organized at the University of Cantabria, Spain, and attended by delegates from 27 countries on 5 continents, maintained this t- dition, marking another unquali?ed success in the history of the IMSE c- sortium.

• Analysis
• Integral equation
• Wavelet
• model
• operator
• optimization
• wave equation
• ordinary differential equations
• partial differential equations

• Department of Mathematical , University of Tulsa, Tulsa, U.S.A.

  Christian Constanda

• Departamento de Matematica Aplicada, Universidad Cantabria, Santander, Spain

  M.E. Pérez

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