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001 978-0-8176-4897-8
003 DE-He213
005 20140220084457.0
007 cr nn 008mamaa
008 100301s2010 xxu| s |||| 0|eng d
020 _a9780817648978
_9978-0-8176-4897-8
024 7 _a10.1007/978-0-8176-4897-8
_2doi
050 4 _aQA431
072 7 _aPBKL
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.45
_223
100 1 _aConstanda, Christian.
_eeditor.
245 1 0 _aIntegral Methods in Science and Engineering, Volume 2
_h[electronic resource] :
_bComputational Aspects /
_cedited by Christian Constanda, M.E. Pérez.
264 1 _aBoston :
_bBirkhäuser Boston,
_c2010.
300 _bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPreface -- List of Contributors -- Error Bounds for L1 Galerkin Approximations of Weakly Singular Integral Operators -- Construction of Solutions of the Hamburger–Löwner Mixed Interpolation Problem for Nevanlinna Class Functions -- A Three-Dimensional Eutrophication Model: Analysis and Control -- An Analytical Solution for the Transient Two-Dimensional Advection–Diffusion Equation with Non-Fickian Closure in Cartesian Geometry by the Generalized Integral Transform Technique -- A Numerical Solution of the Dispersion Equation of Guided Wave Propagation in N-Layered Media -- Discretization of Coefficient Control Problems with a Nonlinear Cost in the Gradient -- Optimal Control and Vanishing Viscosity for the Burgers Equation -- A High-Order Finite Volume Method for Nonconservative Problems and Its Application to Model Submarine Avalanches -- Convolution Quadrature Galerkin Method for the Exterior Neumann Problem of the Wave Equation -- Solution Estimates in Classical Bending of Plates -- Modified Newton’s Methods for Systems of Nonlinear Equations -- Classification of Some Penalty Methods -- A Closed-Form Formulation for Pollutant Dispersion in the Atmosphere -- High-Order Methods for Weakly Singular Volterra Integro-Differential Equations -- Numerical Solution of a Class of Integral Equations Arising in a Biological Laboratory Procedure -- A Mixed Two-Grid Method Applied to a Fredholm Equation of the Second Kind -- Homogenized Models of Radiation Transfer in Multiphase Media -- A Porous Finite Element Model of the Motion of the Spinal Cord -- Boundary Hybrid Galerkin Method for Elliptic and Wave Propagation Problems in R3 over Planar Structures -- Boundary Integral Solution of the Time-Fractional Diffusion Equation -- Boundary Element Collocation Method for Time-Fractional Diffusion Equations -- Wavelet-Based Hölder Regularity Analysis in Condition Monitoring -- Integral Equation Technique for Finding the Current Distribution of Strip Antennas in a Gyrotropic Medium -- A Two-Grid Method for a Second Kind Integral Equation with Green’s Kernel -- A Brief Overview of Plate Finite Element Methods -- Influence of a Weak Aerodynamics/Structure Interaction on the Aerodynamical Global Optimization of Shape -- Multiscale Investigation of Solutions of the Wave Equation -- The Laplace Transform Method for the Albedo Boundary Conditions in Neutron Diffusion Eigenvalue Problems -- Solution of the Fokker–Planck Pencil Beam Equation for Electrons by the Laplace Transform Technique -- Nonlinear Functional Parabolic Equations -- Grid Computing for Multi-Spectral Tomographic Reconstruction of Chlorophyll Concentration in Ocean Water -- Long-Time Solution of the Wave Equation Using Nonlinear Dissipative Structures -- High-Performance Computing for Spectral Approximations -- An Analytical Solution for the General Perturbed Diffusion Equation by an Integral Transform Technique -- Index.
520 _aMathematical models—including those based on ordinary, partial differential, integral, and integro-differential equations—are indispensable tools for studying the physical world and its natural manifestations. Because of the usefulness of these models, it is critical for practitioners to be able to find their solutions by analytic and/or computational means. This two-volume set is a collection of up-to-date research results that illustrate how a very important class of mathematical tools can be manipulated and applied to the study of real-life phenomena and processes occurring in specific problems of science and engineering. The two volumes contain 65 chapters, which are based on talks presented by reputable researchers in the field at the Tenth International Conference on Integral Methods in Science and Engineering. The chapters address a wide variety of methodologies, from the construction of boundary integral methods to the application of integration-based analytic and computational techniques in almost all aspects of today's technological world. Among the topics covered are deformable structures, traffic flow, acoustic wave propagation, spectral procedures, eutrophication of bodies of water, pollutant dispersion, spinal cord movement, submarine avalanches, and many others with an interdisciplinary flavor. Integral Methods in Science and Engineering, Volumes 1 and 2 are useful references for a broad audience of professionals, including pure and applied mathematicians, physicists, biologists, and mechanical, civil, and electrical engineers, as well as graduate students, who use integration as a fundamental technique in their research. Volume 1: ISBN 978-0-8176-4898-5 Volume 2: ISBN 978-0-8176-4896-1
650 0 _aMathematics.
650 0 _aIntegral equations.
650 0 _aDifferential Equations.
650 0 _aDifferential equations, partial.
650 0 _aMathematical physics.
650 0 _aEngineering mathematics.
650 0 _aMechanical engineering.
650 1 4 _aMathematics.
650 2 4 _aIntegral Equations.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aOrdinary Differential Equations.
650 2 4 _aPartial Differential Equations.
650 2 4 _aMechanical Engineering.
650 2 4 _aMathematical Methods in Physics.
700 1 _aPérez, M.E.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817648961
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-4897-8
912 _aZDB-2-SMA
999 _c109915
_d109915