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      Book

      Integral methods in science and engineering
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      Book

      Integral methods in science and engineering

      DOI link for Integral methods in science and engineering

      Integral methods in science and engineering book

      Integral methods in science and engineering

      DOI link for Integral methods in science and engineering

      Integral methods in science and engineering book

      Edited ByC Constanda, J Saranen, S Seikkala
      Edition 1st Edition
      First Published 1997
      eBook Published 31 March 2020
      Pub. Location New York
      Imprint Chapman and Hall/CRC
      DOI https://doi.org/10.1201/9780367812027
      Pages 248
      eBook ISBN 9780367812027
      Subjects Engineering & Technology, Mathematics & Statistics
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      Constanda, C., Saranen, J., & Seikkala, S. (Eds.). (1997). Integral methods in science and engineering (1st ed.). Chapman and Hall/CRC. https://doi.org/10.1201/9780367812027

      ABSTRACT

      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. Volume 1 covers Analytic Methods.

      TABLE OF CONTENTS

      part |17 pages

      Invited papers

      chapter |6 pages

      A brief introduction to inverse scattering theory

      ByD. Colton

      chapter |9 pages

      On some applications of integral equations in elasticity

      ByM. Paukshto

      part |216 pages

      Contributed papers

      chapter |6 pages

      A mathematical model for the estimation of heat stress and sweat loss

      ByR. Ahasan, S. Väyrynen, H. Virokannas

      chapter |5 pages

      Prediction of permissible workload using fuzzy mathematics

      ByR. Ahasan, S. Väyrynen, H. Virokannas

      chapter |6 pages

      An approach to the exterior Dirichlet problem in ℝ2 with applications to wave scattering

      ByYu.A. Baloshin, A.V. Kostin

      chapter |5 pages

      Iterative methods of solution for integral equations with convolution

      ByI.V. Boikov

      chapter |5 pages

      Integral equations of convolution type on unions of intervals

      ByL.P. Castro

      chapter |5 pages

      On the use of radial basis functions in boundary integral equation methods

      ByA. Charafi, D.R. Matravers

      chapter |5 pages

      Boundary equations in mixed problems for the Maxwell system

      ByI. Chudinovich, A. Lytova

      chapter |5 pages

      Robin-type conditions in plane strain

      ByC. Constanda

      chapter |6 pages

      Boundary integral simulation of a finite inviscid jet

      ByR.F. Day

      chapter |5 pages

      A uniqueness theorem for a Boltzmann equation arising in coagulation–fragmentation dynamics

      ByP.B. Dubovski

      chapter |5 pages

      Hofstadter’s butterfly for a periodic array of quantum dots

      ByV.A. Geyler, A.V. Popov

      chapter |5 pages

      Existence results for first order discontinuous differential equations of general form

      ByS. Heikkilä

      chapter |6 pages

      On solvability and approximation of 1D models of coupled thermoelasticity

      ByJ.V. Horák

      chapter |4 pages

      Stabilisation of a linear control system via input independent of the present time

      ByA. Kirjanen

      chapter |5 pages

      Analysis of the critical states of physical systems by means of integral relations and catastrophe theory

      ByV.P. Korobeinikov, D.V. Vorobiev

      chapter |5 pages

      Some non-classical dual variational principles and a posteriori error estimates for elliptic boundary value problems

      ByA. Koshchii

      chapter |6 pages

      Transverse crack opening displacement calculations in cross-ply and angle-ply laminated specimens

      ByA. Krasnikovs, J. Varna, L.A. Berglund

      chapter |4 pages

      A remark on the number of solutions to critical and supercritical semilinear problems with non-zero right-hand sides

      ByI.A. Kuzin

      chapter |5 pages

      Radiation heat transfer in absorbing, emitting and scattering media

      ByM. Laitinen

      chapter |5 pages

      On weighted norm estimates for the mixed Fourier-Bessel transforms of non-negative functions

      ByA.B. Muravnik

      chapter |5 pages

      Qualitative analysis of partial differential equations of the three-dimensional compressible boundary layer via spectral solutions

      ByA. Nastase

      chapter |5 pages

      Effect of focusing on catacaustics of irregular heat fields in composites with moving boundaries

      ByG.A. Nesenenko

      chapter |5 pages

      Thermoelastic analysis of functionally graded materials

      ByS. Nomura

      chapter |5 pages

      The integral equation method for ground wire input impedance

      ByD. Poljak, V. Roje

      chapter |5 pages

      Decoupling of impulsive differential equations in a Banach space

      ByA. Reinfelds

      chapter |6 pages

      Modelling, damping analysis and optimisation of sandwich and laminated composite structures

      ByR. Rikards, E. Barkanov, A. Chate, A. Korjakin

      chapter |5 pages

      On the maximal symmetry group and exact solutions of non-linear higher order wave equations

      ByO. Roman

      chapter |5 pages

      An initial boundary value problem for the equations of plane flow of a micropolar fluid in a time-dependent domain

      ByV.Al. Sava

      chapter |4 pages

      Discrete analogues of boundary integral equations for boundary value problems in solid mechanics

      ByI. Shirinskaya, M. Belyi

      chapter |5 pages

      On eddy currents from moving point sources of magnetic field in the Gravity Probe B experiment

      ByA.S. Silbergleit, G.M. Keiser

      chapter |5 pages

      An exact method for torsion and bending problems for beams with polygonal cross-sections

      ByS.L. Skorokhodov, V.I. Vlasov

      chapter |6 pages

      Steady vortex rings in an ideal fluid: asymptotics for variational solutions

      ByTadie

      chapter |5 pages

      Solutions of semilinear elliptic problems based only on weak supersolutions

      ByTadie

      chapter |5 pages

      On stationary oscillations in bending of plates

      ByG.R. Thomson, C. Constanda

      chapter |5 pages

      A non-local problem arising from heat radiation on non-convex surfaces

      ByT. Tiihonen

      chapter |6 pages

      Asymptotic methods in the problem of large axisymmetric deflections of a thin elastic shell of revolution

      ByP.E. Tovstik

      chapter |4 pages

      Discrete symmetries and the reduction of the two-body Dirac equations with interactions

      ByV. Tretynyk

      chapter |5 pages

      On some new types of multiple integral equations and their applications

      ByN. Virchenko

      chapter |5 pages

      On integration of Fuchs-class equations with four singular points in connection with a conformal mapping problem

      ByD.B. Volkov-Bogorodsky

      chapter |5 pages

      Asymptotic analysis of wave scattering on a periodic boundary

      ByV.V. Zalipaev, M.M. Popov

      chapter |5 pages

      An integral equation method for electromagnetic scattering by an inhomogeneous layer on a perfectly conducting plate

      ByB. Zhang, S.N. Chandler-Wilde

      chapter |5 pages

      Singular integral equations of the theory of ultrasonic motors and their solutions

      ByO.Yu. Zharii
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