E-raamat: Integral Methods in Science and Engineering

Preface Invited papers Mathematical modeling of N-body quantum scattering processes 3(11) A.G. Gibson Microhydrodynamics of sharp corners and edges 14(7) S. Kim I. Mustakis Acoustic scattering by irregular obstacles 21(14) B.D. Sleeman H. Chen Contributed papers On generalized inverse Steklov problems 35(6) M. Ahues A. Largillier A hybrid root finder 41(5) C. Aviles-Ramos K.T. Harris A. Haji-Sheikh Volterra-type integral geometry problems 46(5) Akbar H. Begmatov Inversion of the X-ray transform and the Radon transform with incomplete data 51(6) Akbar H. Begmatov Akram H. Begmatov Reconstructing a function by means of integrals over a family of conical surfaces 57(5) Akram H. Begmatov On the use of wavelet expansions and the conjugate gradient method for solving first kind integral equations 62(5) B. Bertram Optimal algorithms for the calculation of singular integrals 67(6) I.V. Boikov A.N. Andreev An order one approximate method of solution of differential and integral equations 73(6) A.I. Boikova A multigrid method for solving reaction-diffusion systems 79(5) C. Chiu Time-dependent bending of plates with transverse shear deformation 84(6) I. Chudinovich C. Constanda Polarization gradient in piezoelectric micropolar elasticity 90(6) S.G. Ciumasu D. Vieru Thermoelastic stress separation via Poisson equation solution by means of the boundary element method 96(6) T. Comlekci R. Hamilton J.T. Boyle On neutral functional differential equations with causal operators. II 102(5) C. Corduneanu M. Mahdavi A semi-analytic method for the study of acoustic pulse propagation in inhomogeneous elastic 1-D media 107(6) N. Cretu G. Nita I. Sturzu C. Rosca Efficient finite elements for the numerical approximation of cylindrical shells 113(6) L. Della Croce T. Scapolla Error estimates for computing fixed densities of Markov integral operators 119(6) J. Ding H. Qiu A modified Monte Carlo approach to the approximation of invariant measures 125(6) J. Ding Z. Wang Acceleration waves in von Karman plate theory 131(6) P. Djondjorov V. Vassilev Dynamics and resonance of a nonlinear mechanical oscillator subjected to parametric and external excitation 137(6) M. Eissa On the vibration of helical springs 143(6) M. Eissa M.M. Kamel A two-dimensional numerical model of chemotaxis 149(6) M.W. Fisackerly B.J. McCartin Asymptotic analysis of fracture theory for layered composites in compression (the plane problem) 155(6) I.A. Guz C. Soutis Existence and regularity of weak solutions to the displacement boundary value problem of nonlinear elastostatics 161(6) S.M. Haidar On convergence and uniqueness of microscale heat transfer equation 167(6) A. Haji-Sheikh F.R. Payne K.J. Hays-Stang On numerical approximations of a frictionless contact problem for elastic-viscoplastic materials 173(6) W. Han M. Sofonea A panel clustering method for 3-D elastostatics using spherical harmonics 179 K. Hayami S.A. Sauter Extensions of constrained least squares for obtaining regularized solutions to first kind integral equations 185(190) J.W. Hilgers B.S. Bertram W.R. Reynolds Existence and nonexistence results for some boundary value problems at resonance 190(5) R. Kannan S. Seikkala M. Hihnala Analytic investigation of thick anisotropic plates with undulating surfaces 195(5) M. Kashtalyan C. Soutis On Stokess nonlinear integral wave equation 200(5) N. Khatiashvili Dynamics of the spurt phenomenon for single history integral constitutive equations 205(6) R. W. Kolkka D. Malkus A boundary integral equation method for the heat equation 211(6) S. Langdon Computational simulation and interfacial shear models for downward annular wavy-interface condensing flow in a vertical pipe 217(6) Q. Liu A. Narain Compact fourth-order approximation for a nonlinear reaction-diffusion equation arising in population genetics 223(6) B.J. McCartin Dynamic deformation of a layered continuum surrounding a cylindrical or spherical cavity 229(5) A. Mioduchowski P. Janele Boundary value problems for harmonic vector fields on non-smooth domains 234(6) D. Mitrea The oblique derivative problem for general elliptic systems in Lipschitz domains 240(6) M. Mitrea Viscous aerodynamic optimal design of flying configurations via an enlarged variational method 246(6) A. Nastase Interface crack problem for a piecewise homogeneous anisotropic plane 252(6) D. Natroshvili Sh. Zazashvili Micromechanics of heterogeneous materials 258(5) S. Nomura H. Edmiston Admissibility and optimal control for stochastic difference equations 263(5) Z.C. Okonkwo Linear and sublinear Tricomi via DFI 268(6) F.R. Payne K.R. Payne Multidimensional fractional integrals on spaces of smooth functions 274(6) R.M. Peat A.C. McBridge Piecewise polynomial projection methods for nonlinear multidimensional weakly singular integral equations 280(6) A. Pedas G. Vainikko Asymptotics and inequalities for a class of infinite sums 286(6) O.G. Ruehr B.S. Bertram A new theorem concerning the Buckingham Rayleigh methods and general dimensional analysis 292(6) C. Samoila R. Teodorescu D. Centea Energy decay for a weak solution of the non-Newtonian fluid equations with slowly varying external forces 298(6) V.Al. Sava An integral representation for the solution of 2D nonstationary flow of micropolar fluids 304(6) V.Al. Sava A monotonically convergent adaptive method for nonlinear combustion problems 310(6) Q. Sheng Stationary oscillations of elastic plates with Robin boundary conditions 316(6) G.R. Thomson C. Constanda Adapter and driver design for rotary encoders 322(5) F. Unsacar Expert system design for fault diagnosing in CNC machine tools 327(6) F. Unsacar S. Halkaci A. Majlessi Non-ideal liquid solutions modeling by means of integral methods 333(5) D. Ursutiu A. Duta-Capra D. Nanu P. Cotfas Symmetry groups, conservation laws and group-invariant solutions of the Marguerre-von Karman equations 338(6) V. Vassilev Modeling the motion of an underwater explosion bubble 344(6) A. Verma P.J. Harris R. Chakrabarti On some new systems of N-ary integral equations 350(5) N. Virchenko Computational simulations and flow domain classification for laminar/laminar annular/stratified condensing flows 355 G. Yu A. Narain