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Integral methods in science and engineering
1 online resource (360 pages) : illustrations
Based on proceedings of the International Conference on Integral Methods in Science and Engineering, this collection of papers addresses the solution of mathematical problems by integral methods in conjunction with approximation schemes from various physical domains. Topics and applications include: wavelet expansions, reaction-diffusion systems, variational methods, fracture theory, boundary value problems at resonance, micromechanics, fluid mechanics, combustion problems, nonlinear problems, elasticity theory, and plates and shells.
Mathematical modeling of N-body quantum scattering processes / A.G. Gibson 3 -- Microhydrodynamics of sharp corners and edges / S. Kim, I. Mustakis 14 -- Acoustic scattering by irregular obstacles / B.D. Sleeman, H. Chen 21 -- On generalized inverse Steklov problems / M. Ahues, A. Largillier 35 -- A hybrid root finder / C. Aviles-Ramos, K.T. Harris, A. Haji-Sheikh 41 -- Volterra-type integral geometry problems / Akbar H. Begmatov 46 -- Inversion of the X-ray transform and the Radon transform with incomplete data / Akbar H. Begmatov, Akram H. Begmatov 51 -- Reconstructing a function by means of integrals over a family of conical surfaces / Akram H. Begmatov 57 -- On the use of wavelet expansions and the conjugate gradient method for solving first kind integral equations / B. Bertram 62 -- Optimal algorithms for the calculation of singular integrals / I.V. Boikov, A.N. Andreev 67 -- An order one approximate method of solution of differential and integral equations / A.I. Boikova 73 -- A multigrid method for solving reaction-diffusion systems / C. Chiu 79 -- Time-dependent bending of plates with transverse shear deformation / I. Chudinovich, C. Constanda 84 -- Polarization gradient in piezoelectric micropolar elasticity / S.G. Ciumasu, D. Vieru 90 -- Thermoelastic stress separation via Poisson equation solution by means of the boundary element method / T. Comlekci, R. Hamilton, J.T. Boyle 96 -- On neutral functional differential equations with causal operators. II / C. Corduneanu, M. Mahdavi 102 -- 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 107 -- Efficient finite elements for the numerical approximation of cylindrical shells / L. Della Croce, T. Scapolla 113 -- Error estimates for computing fixed densities of Markov integral operators / J. Ding, H. Qiu 119 -- A modified Monte Carlo approach to the approximation of invariant measures / J. Ding, Z. Wang 125 -- Acceleration waves in von Karman plate theory / P. Djondjorov, V. Vassilev 131 -- Dynamics and resonance of a nonlinear mechanical oscillator subjected to parametric and external excitation / M. Eissa 137 -- On the vibration of helical springs / M. Eissa, M.M. Kamel 143 -- A two-dimensional numerical model of chemotaxis / M.W. Fisackerly, B.J. McCartin 149 -- Asymptotic analysis of fracture theory for layered composites in compression (the plane problem) / I.A. Guz, C. Soutis 155 -- Existence and regularity of weak solutions to the displacement boundary value problem of nonlinear elastostatics / S.M. Haidar 161 -- On convergence and uniqueness of microscale heat transfer equation / A. Haji-Sheikh, F.R. Payne, K.J. Hays-Stang 167 -- On numerical approximations of a frictionless contact problem for elastic-viscoplastic materials / W. Han, M. Sofonea 173 -- A panel clustering method for 3-D elastostatics using spherical harmonics / K. Hayami, S.A. Sauter 179 -- Extensions of constrained least squares for obtaining regularized solutions to first kind integral equations / J.W. Hilgers, B.S. Bertram, W.R. Reynolds 185 -- Existence and nonexistence results for some boundary value problems at resonance / R. Kannan, S. Seikkala, M. Hihnala 190 -- Analytic investigation of thick anisotropic plates with undulating surfaces / M. Kashtalyan, C. Soutis 195 -- On Stokes's nonlinear integral wave equation / N. Khatiashvili 200 -- Dynamics of the spurt phenomenon for single history integral constitutive equations / R.W. Kolkka, D. Malkus 205 -- A boundary integral equation method for the heat equation / S. Langdon 211 -- Computational simulation and interfacial shear models for downward annular wavy-interface condensing flow in a vertical pipe / Q. Liu, A. Narain 217 -- Compact fourth-order approximation for a nonlinear reaction-diffusion equation arising in population genetics /i B.J. McCartin 223 -- Dynamic deformation of a layered continuum surrounding a cylindrical or spherical cavity / A. Mioduchowski, P. Janele 229 -- Boundary value problems for harmonic vector fields on non-smooth domains / D. Mitrea 234 -- Oblique derivative problem for general elliptic systems in Lipschitz domains / M. Mitrea 240 -- Viscous aerodynamic optimal design of flying configurations via an enlarged variational method / A. Nastase 246 -- Interface crack problem for a piecewise homogeneous anisotropic plane / D. Natroshvili, Sh. Zazashvili 252 -- Micromechanics of heterogenous materials / S. Nomura, H. Edmiston 258 -- Admissibility and optimal control for stochastic difference equations / Z.C. Okonkwo 263 -- Linear and sublinear Tricomi via DFI / F.R. Payne, K.R. Payne 268 -- Multidimensional fractional integrals on spaces of smooth functions / R.M. Peat, A.C. McBride 274 -- Piecewise polynomial projection methods for nonlinear multidimensional weakly singular integral equations / A. Pedas, G. Vainikko 280 -- Asymptotics and inequalities for a class of infinite sums / O.G. Ruehr, B.S. Bertram 286 -- A new theorem concerning the Buckingham Rayleigh methods and general dimensional analysis / C. Samoila, R. Teodorescu, D. Centea 292 -- Energy decay for a weak solution of the non-Newtonian fluid equations with slowly varying external forces / V. Al. Sava 298 -- An integral representation for the solution of 2D nonstationary flow of micropolar fluids / V. Al. Sava 304 -- A monotonically convergent adaptive method for nonlinear combustion problems / Q. Sheng 310 -- Stationary oscillations of elastic plates with Robin boundary conditions / G.R. Thomson, C. Constanda 316 -- Adapter and driver design for rotary encoders / F. Unsacar 322 -- Expert system design for fault diagnosing in CNC machine tools / F. Unsacar, S. Halkaci, A. Majlessi 327 -- Non-ideal liquid solutions modeling by means of integral methods / D. Ursutiu, A. Duta-Capra, D. Nanu, P. Cotfas 333 -- Symmetry groups, conservation laws and group-invariant solutions of the Marguerre-von Karman equations / V. Vassilev 338 -- Modeling the motion of an underwater explosion bubble / A. Verma, P.J. Harris, R. Chakrabarti 344 -- On some new systems of N-ary integral equations / N. Virchenko 350 -- Computational simulations and flow domain classification for laminar/laminar annular/stratified condensing flows / G. Yu, A. Narain 355.
B. Bertram, C. Constanda, A. Struthers, editors.
Chapman & Hall/CRC research notes in mathematics series ; 418