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Integral Methods in Science and Engineering

Citation Information

Integral Methods in Science and Engineering

Edited by B. Bertram , C. Constanda , and A. Struthers

Chapman and Hall/CRC 2000

Print ISBN: 978-1-58488-146-9

eBook ISBN: 978-1-4200-3603-9

Table of Contents

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Front Matter

Abstract - Hi-Res PDF (320 KB) - PDF w/links (320 KB)
Chapter 1. Mathematical modeling of N-body quantum scattering processes
A. G. Gibson

Abstract - Hi-Res PDF (582 KB) - PDF w/links (584 KB)
Chapter 2. Microhydrodynamics of sharp corners edges
S. KIM, I. MUSTAKIS

Abstract - Hi-Res PDF (154 KB) - PDF w/links (157 KB)
Chapter 3. Acoustic scattering by irregular obstacles
B. D. Sleeman, H. Chen

Abstract - Hi-Res PDF (219 KB) - PDF w/links (189 KB)
Chapter 4. On generalized inverse Steklov problems
M. Ahues, A. Largillier

Abstract - Hi-Res PDF (1023 KB) - PDF w/links (618 KB)
Chapter 5. A hybrid root finder
C. Aviles-Ramos, K. T. Harris, A. Haji-Sheikh

Abstract - Hi-Res PDF (99 KB) - PDF w/links (100 KB)
Chapter 6. Volterra-type integral geometry
Akbar H. Begmatov

Abstract - Hi-Res PDF (76 KB) - PDF w/links (77 KB)
Chapter 7. Inversion of the X-ray transform the
Akbar H. Begmatov, Akram H. Begmatov

Abstract - Hi-Res PDF (87 KB) - PDF w/links (88 KB)
Chapter 8. Reconstructing a function by means of integrals over a family of conical surfaces
Akram H. Begmatov

Abstract - Hi-Res PDF (85 KB) - PDF w/links (86 KB)
Chapter 9. On the use of wavelet expansions and the conjugate gradient method for solving first kind integral equations

Abstract - Hi-Res PDF (135 KB) - PDF w/links (138 KB)
Chapter 10. Optimal algorithms for the calculation of singular integrals
I. V. Boikov, A. N. ANDREEV

Abstract - Hi-Res PDF (110 KB) - PDF w/links (111 KB)
Chapter 11. An order one approximate method of solution of differential integral equations
Boikova

Abstract - Hi-Res PDF (84 KB) - PDF w/links (85 KB)
Chapter 12. A multigrid method for solving reaction-diffusion systems
C. Chiu

Abstract - Hi-Res PDF (80 KB) - PDF w/links (81 KB)
Chapter 13. Time-dependent bending of plates with transverse shear deformation
I. Chudinovich

Abstract - Hi-Res PDF (97 KB) - PDF w/links (98 KB)
Chapter 14. Polarization gradient in piezoelectric micropolar elasticity
S. G. Ciumasu, D. Vieru

Abstract - Hi-Res PDF (100 KB) - PDF w/links (101 KB)
Chapter 15. Thermoelastic stress separation via Poisson equation solution by means of the boundary element method
T. Comlekci, R. Hamilton, J. T. Boyle

Abstract - Hi-Res PDF (103 KB) - PDF w/links (104 KB)
Chapter 16. On neutral functional differential equations with causal operators. II
C. Corduneanu, M. Mahdavi

Abstract - Hi-Res PDF (72 KB) - PDF w/links (73 KB)
Chapter 17. A semi-analytic method for the study of acoustic pulse propagation in inhomogeneous elastic 1-D media
N. Cretu, G. Nita, I. Sturzu, C. Rosca

Abstract - Hi-Res PDF (85 KB) - PDF w/links (99 KB)
Chapter 18. Efficient finite elements for the numerical approximation of cylindrical shells
L. Della Croce, T. Scapolla

Abstract - Hi-Res PDF (154 KB) - PDF w/links (155 KB)
Chapter 19. Error estimates for computing fixed densities of Markov integral operators
J. Ding, H. Qiu

Abstract - Hi-Res PDF (84 KB) - PDF w/links (85 KB)
Chapter 20. A modified Monte Carlo approach to the approximation of invariant measures
J. Ding, Z. Wang

Abstract - Hi-Res PDF (83 KB) - PDF w/links (84 KB)
Chapter 21. Acceleration waves in von K´arm´an plate theory
P. Djondjorov, V. Vassilev

Abstract - Hi-Res PDF (102 KB) - PDF w/links (103 KB)
Chapter 22. Dynamics resonance of a nonlinear mechanical oscillator subjected to parametric external excitation
M. Eissa

Abstract - Hi-Res PDF (179 KB) - PDF w/links (180 KB)
Chapter 23. On the vibration of helical springs
M. Eissa, M. M. Kamel

Abstract - Hi-Res PDF (234 KB) - PDF w/links (234 KB)
Chapter 24. A two-dimensional numerical model of chemotaxis
M. W. Fisackerly, B. J. McCartin

Abstract - Hi-Res PDF (272 KB) - PDF w/links (177 KB)
Chapter 25. Asymptotic analysis of fracture theory for layered composites in compression (the plane problem)
I. A. Guz, C. Soutis

Abstract - Hi-Res PDF (78 KB) - PDF w/links (80 KB)
Chapter 26. Existence and regularity of weak solutions to the displacement boundary value problem of nonlinear elastostatics
S. M. Haidar

Abstract - Hi-Res PDF (93 KB) - PDF w/links (94 KB)
Chapter 27. On convergence and uniqueness of microscale heat transfer equation
A. Haji-Sheikh, F. R. Payne, K. J. Hays-Stang

Abstract - Hi-Res PDF (139 KB) - PDF w/links (140 KB)
Chapter 28. On numerical approximations of a frictionless contact problem for elasticviscoplastic materials
W. Han, M. Sofonea

Abstract - Hi-Res PDF (92 KB) - PDF w/links (93 KB)
Chapter 29. A panel clustering method for 3-D elastostatics using spherical harmonics
K. Hayami, S. A. Sauter

Abstract - Hi-Res PDF (82 KB) - PDF w/links (83 KB)
Chapter 30. Extensions of constrained least squares for obtaining regularized solutions to first kind integral equations
J. W. Hilgers, B. S. Bertram, W. R. Reynolds

Abstract - Hi-Res PDF (129 KB) - PDF w/links (132 KB)
Chapter 31. Existence and nonexistence results for some boundary value problems at resonance
R. Kannan, S. Seikkala, M. Hihnala

Abstract - Hi-Res PDF (63 KB) - PDF w/links (64 KB)
Chapter 32. Analytic investigation of thick anisotropic plates with undulating surfaces
M. Kashtalyan, C. Soutis

Abstract - Hi-Res PDF (72 KB) - PDF w/links (73 KB)
Chapter 33. On Stokes’s nonlinear integral wave equation
N. Khatiashvili

Abstract - Hi-Res PDF (84 KB) - PDF w/links (84 KB)
Chapter 34. Dynamics of the spurt phenomenon for single history integral constitutive equations
R. W. Kolkka, D. Malkus

Abstract - Hi-Res PDF (104 KB) - PDF w/links (105 KB)
Chapter 35. A boundary integral equation method for the heat equation
S. Langdon

Abstract - Hi-Res PDF (92 KB) - PDF w/links (93 KB)
Chapter 36. Computational simulation and interfacial shear models for downward annular wavy-interface condensing flow in a vertical pipe
Q. Liu, A. Narain

Abstract - Hi-Res PDF (167 KB) - PDF w/links (168 KB)
Chapter 37. Compact fourth-order approximation for a nonlinear reaction-diffusion equation arising in population genetics
B. J. Mccartin

Abstract - Hi-Res PDF (239 KB) - PDF w/links (140 KB)
Chapter 38. Dynamic deformation of a layered continuum surrounding a cylindrical or spherical cavity
A. Mioduchowski, P. Janele

Abstract - Hi-Res PDF (250 KB) - PDF w/links (141 KB)
Chapter 39. Boundary value problems for harmonic vector fields on non-smooth domains
D. Mitrea

Abstract - Hi-Res PDF (92 KB) - PDF w/links (92 KB)
Chapter 40. The oblique derivative problemfor general elliptic systems in
Lipschitzdomains Mitrea

Abstract - Hi-Res PDF (93 KB) - PDF w/links (94 KB)
Chapter 41. Viscous aerodynamic optimal design of flying configurations via an enlarged variational method
A. Nastase

Abstract - Hi-Res PDF (337 KB) - PDF w/links (178 KB)
Chapter 42. Interface crack problem for a piecewise homogeneous anisotropic plane
D. Natroshvili, Sh. Zazashvili

Abstract - Hi-Res PDF (99 KB) - PDF w/links (101 KB)
Chapter 43. Micromechanics of heterogenous materials
S. Nomura, H. Edmiston

Abstract - Hi-Res PDF (79 KB) - PDF w/links (82 KB)
Chapter 44. Admissibility and optimal control for stochastic difference equations
Z. C. Okonkwo

Abstract - Hi-Res PDF (78 KB) - PDF w/links (79 KB)
Chapter 45. Linear and sublinear Tricomi via DFI
F. R. Payne, K. R. Payne

Abstract - Hi-Res PDF (75 KB) - PDF w/links (75 KB)
Chapter 46. Multidimensional fractional integrals on spaces of smooth functions
R. M. Peat, A. C. McBride

Abstract - Hi-Res PDF (89 KB) - PDF w/links (90 KB)
Chapter 47. Piecewise polynomial projection methods for nonlinear multidimensional weakly singular integral equations
A. Pedas, G. Vainikko

Abstract - Hi-Res PDF (109 KB) - PDF w/links (110 KB)
Chapter 48. Asymptotics and inequalities for a class of infinite sums
O. G. Ruehr, B. S. Bertram

Abstract - Hi-Res PDF (95 KB) - PDF w/links (96 KB)
Chapter 49. A new theorem concerning the Buckingham Rayleigh methods general dimensional analysis
C. Samoila, R. Teodorescu, D. Centea

Abstract - Hi-Res PDF (80 KB) - PDF w/links (81 KB)
Chapter 50. Energy decay for a weak solution of the non-Newtonian fluid equations with slowly varying external forces
V. Al. Sava

Abstract - Hi-Res PDF (100 KB) - PDF w/links (101 KB)
Chapter 51. An integral representation for the solution of 2D nonstationary flow of micropolar fluids
V. Al. Sava

Abstract - Hi-Res PDF (87 KB) - PDF w/links (88 KB)
Chapter 52. A monotonically convergent adaptive method for nonlinear combustion problems
Q. Sheng

Abstract - Hi-Res PDF (187 KB) - PDF w/links (156 KB)
Chapter 53. Stationary oscillations of elastic plates with Robin boundary conditions
G. R. Thomson

Abstract - Hi-Res PDF (87 KB) - PDF w/links (88 KB)
Chapter 54. Adapter and driver design for rotary encoders
F. Unsacar

Abstract - Hi-Res PDF (85 KB) - PDF w/links (86 KB)
Chapter 55. Expert system design for fault diagnosing in CNC machine tools
F. Unsacar, S. Halkaci, A. Majlessi

Abstract - Hi-Res PDF (89 KB) - PDF w/links (171 KB)
Chapter 56. Non-ideal liquid solutions modeling by means of integral methods
D. Ursutiu, A. Duta-Capra, D. Nanu, P. Cotfas

Abstract - Hi-Res PDF (129 KB) - PDF w/links (130 KB)
Chapter 57. Symmetry groups, conservation laws and group-invariant solutions of the Marguerre-von K´arm´an equations
V. Vassilev

Abstract - Hi-Res PDF (95 KB) - PDF w/links (96 KB)
Chapter 58. Modeling the motion of an underwater explosion bubble
A. Verma, P. J. Harris, R. Chakrabarti

Abstract - Hi-Res PDF (76 KB) - PDF w/links (121 KB)
Chapter 59. On some new systems of N-ary integral equations
N. Virchenko

Abstract - Hi-Res PDF (79 KB) - PDF w/links (80 KB)
Chapter 60. Computational simulations and flow domain classification for laminar/laminar annular/stratified condensing flows
G. Yu, A. Narain

Abstract - Hi-Res PDF (141 KB) - PDF w/links (143 KB)

Research Notes in Mathematics Series

Integral Methods in Science and Engineering