Research Catalog

Title

Integral methods in science and engineering : techniques and applications / C. Constanda, S. Potapenko, editors.

Publication

Boston : Birkhäuser, [2008], ©2008.

Items in the Library & Off-site

Holdings

Details

Additional Authors

• Constanda, C. (Christian)
• Potapenko, S. (Stanislav)

Description

xv, 298 pages : illustrations; 24 cm

Subjects

• Mathematical analysis
• Mathematical physics
• Integral equations > Numerical solutions
• Science > Mathematics
• Engineering mathematics

Bibliography (note)

• Includes bibliographical references and index.

Contents

1. Super-convergence of Projection Methods for Weakly Singular Integral Operators / M. Ahues, A. Largillier and A. Amosov -- 2. On Acceleration of Spectral Computations for Integral Operators with Weakly Singular Kernels / M. Ahues, A. Largillier and B. Limaye -- 3. Numerical Solution of Integral Equations in Solidification and Melting with Spherical Symmetry / V. S. Ajaev and J. Tausch -- 4. An Analytic Solution for the Steady-State Two-Dimensional Advection-Diffusion-Deposition Model by the GILTT Approach / D. Buske, M. T. de Vilhena, D. Moreira and B. E. J. Bodmann -- 5. Analytic Two-Dimensional Atmospheric Pollutant Dispersion Simulation by Double GITT / M. Cassol, S. Wortmann, M. T. de Vilhena and H. F. de Campos Velho -- 6. Transient Acoustic Radiation from a Thin Spherical Elastic Shell / D. J. Chappell, P. J. Harris, D. Henwood and R. Chakrabarti -- 7. The Eigenfrequencies and Mode Shapes of Drilling Masts / S. Chergui -- 8. Layer Potentials in Dynamic Bending of Thermoelastic Plates / I. Chudinovich and C. Constanda -- 9. Direct Methods in the Theory of Thermoelastic Plates / I. Chudinovich and C. Constanda -- 10. The Dirichlet Problem for the Plane Deformation of a Thin Plate on an Elastic Foundation / I. Chudinovich, C. Constanda, D. Doty, W. Hamill and S. Pomeranz -- 11. Some Remarks on Homogenization in Perforated Domains / L. Floden, A. Holmbom, M. Olsson and J. Silfver -- 12. Dynamic Response of a Poroelastic Half-Space to Harmonic Line Tractions / V. Gerasik and M. Stastna -- 13. Convexity Conditions and Uniqueness and Regularity of Equilibria in Nonlinear Elasticity / S. M. Haidar -- 14. The Mathematical Modeling of Syringomyelia / P. J. Harris and C. Hardwidge -- 15. A System Iterative Method for Solving First-Kind, Degraded Identity Operator Equations / J. Hilgers, B. Bertram and W. Reynolds -- 16. Fast Numerical Integration Method Using Taylor Series / H. Hirayama -- 17. Boundary Integral Solution of the Two-Dimensional Fractional Diffusion Equation / J. Kemppainen and K. Ruotsalainen -- 18. About Traces, Extensions, and Co-Normal Derivative Operators on Lipschitz Domains / S. E. Mikhailov -- 19. On the Extension of Divergence-Free Vector Fields Across Lipschitz Interfaces / D. Mitrea -- 20. Solutions of the Atmospheric Advection-Diffusion Equation by the Laplace Transformation / D. M. Moreira, M. T. de Vilhena, T. Tirabassi and B. E. J. Bodmann -- 21. On Quasimodes for Spectral Problems Arising in Vibrating Systems with Concentrated Masses / E. Perez -- 22. Two-Sided Estimates for Local Minimizers in Compressible Elasticity / G. Del Piero and R. Rizzoni -- 23. Harmonic Oscillations in a Linear Theory of Antiplane Elasticity with Microstructure / S. Potapenko -- 24. Exterior Dirichlet and Neumann Problems for the Helmholtz Equation as Limits of Transmission Problems / M.-L. Rapun and F.-J. Sayas -- 25. Direct Boundary Element Method with Discretization of All Integral Operators / F.-J. Sayas -- 26. Reciprocity in Elastomechanics: Development of Explicit Results for Mixed Boundary Value Problems / A. P. S. Selvadurai -- 27. Integral Equation Modeling of Electrostatic Interactions in Atomic Force Microscopy / Y. Shen, D. M. Barnett and P. M. Pinsky -- 28. Integral Representation for the Solution of a Crack Problem Under Stretching Pressure in Plane Asymmetric Elasticity / E. Shmoylova, S. Potapenko and L. Rothenburg -- 29. Euler-Bernoulli Beam with Energy Dissipation: Spectral Properties and Control / M. Shubov -- 30. Correct Equilibrium Shape Equation of Axisymmetric Vesicles / N. K. Vaidya, H. Huang and S. Takagi -- 31. Properties of Positive Solutions of the Falkner-Skan Equation Arising in Boundary Layer Theory / G. C. Yang, L. L. Shi and K. Q. Lan -- 32. Stabilization of a Four-Dimensional System under Real Noise Excitation / J. Zhu, W.-C. Xie and R. M. C. So.

ISBN

• 9780817646707 (alk. paper)
• 0817646701 (alk. paper)
• 9780817646714 (e-ISBN)
• 081764671X (e-ISBN)

LCCN

• 2007934436
• 99819269989

OCLC

• 175285179
• ocn175285179
• SCSB-5388806

Owning Institutions

Columbia University Libraries