Integral Methods in Science and Engineering (eBook)
XVI, 298 Seiten
Birkhäuser Boston (Verlag)
978-0-8176-4671-4 (ISBN)
This self-contained work illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering. The chapters contain state-of-the-art information on current research in a variety of important practical disciplines. The problems examined arise in real-life processes and phenomena and use a wide range of solution techniques. This is a useful and practical guide.
This self-contained work illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering. The chapters contain state-of-the-art information on current research in a variety of important practical disciplines. The problems examined arise in real-life processes and phenomena and use a wide range of solution techniques. This is a useful and practical guide.
Contents 5
Preface 8
List of Contributors 10
1 Superconvergence of Projection Methods for Weakly Singular Integral Operators 15
2 On Acceleration of Spectral Computations for Integral Operators with Weakly Singular Kernels 22
3 Numerical Solution of Integral Equations in Solidi.cation and Melting with Spherical Symmetry 30
4 An Analytic Solution for the Steady-State Two-Dimensional Advection–Di.usion–Deposition Model by the GILTT Approach 39
5 Analytic Two-Dimensional Atmospheric Pollutant Dispersion Simulation by Double GITT 48
6 Transient Acoustic Radiation from a Thin Spherical Elastic Shell 58
7 The Eigenfrequencies and Mode Shapes of Drilling Masts 66
8 Layer Potentials in Dynamic Bending of Thermoelastic Plates 73
9 Direct Methods in the Theory of Thermoelastic Plates 84
10 The Dirichlet Problem for the Plane Deformation of a Thin Plate on an Elastic Foundation 91
11 Some Remarks on Homogenization in Perforated Domains 97
12 Dynamic Response of a Poroelastic Half-Space to Harmonic Line Tractions 106
13 Convexity Conditions and Uniqueness and Regularity of Equilibria in Nonlinear Elasticity 116
14 The Mathematical Modeling of Syringomyelia 126
15 A System Iterative Method for Solving First-Kind, Degraded Identity Operator Equations 133
16 Fast Numerical Integration Method Using Taylor Series 141
17 Boundary Integral Solution of the Two-Dimensional Fractional Di.usion Equation 147
18 About Traces, Extensions, and Co-Normal Derivative Operators on Lipschitz Domains 155
19 On the Extension of Divergence-Free Vector Fields Across Lipschitz Interfaces 167
20 Solutions of the Atmospheric Advection–Di.usion Equation by the Laplace Transformation 177
21 On Quasimodes for Spectral Problems Arising in Vibrating Systems with Concentrated Masses 187
22 Two-Sided Estimates for Local Minimizers in Compressible Elasticity 197
23 Harmonic Oscillations in a Linear Theory of Antiplane Elasticity with Microstructure 207
24 Exterior Dirichlet and Neumann Problems for the Helmholtz Equation as Limits of Transmission Problems 213
25 Direct Boundary Element Method with Discretization of All Integral Operators 223
26 Reciprocity in Elastomechanics: Development of Explicit Results for Mixed Boundary Value Problems 233
27 Integral Equation Modeling of Electrostatic Interactions in Atomic Force Microscopy 243
28 Integral Representation for the Solution of a Crack Problem Under Stretching Pressure in Plane Asymmetric Elasticity 253
29 Euler–Bernoulli Beam with Energy Dissipation: Spectral Properties and Control 263
30 Correct Equilibrium Shape Equation of Axisymmetric Vesicles 272
31 Properties of Positive Solutions of the Falkner–Skan Equation Arising in Boundary Layer Theory 282
32 Stabilization of a Four-Dimensional System under Real Noise Excitation 289
Index 298
| Erscheint lt. Verlag | 3.11.2007 |
|---|---|
| Zusatzinfo | XVI, 298 p. 62 illus. |
| Verlagsort | Boston |
| Sprache | englisch |
| Themenwelt | Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Technik | |
| Schlagworte | boundary integral methods • Calculus • conservation laws • finite and boundary elements • Helmholtz equation • Integral equations • integral m • integral methods • integro-differential equations • Mechanics • Model • Numerical Methods • Ordinary differential equations • Partial differential equations • Potential • Simulation • stability • theoretical integral techniques • Vibration |
| ISBN-10 | 0-8176-4671-X / 081764671X |
| ISBN-13 | 978-0-8176-4671-4 / 9780817646714 |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
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