#  ## Iterative methods for calculating static fields and wave scattering by small bodies  pbk.

Alexander G. Ramm

[目次]

• 1. Basic Problems.- x1. Statement of the Electrostatic Problems for Perfect Conductors.- x2. Statement of the Basic Problem for Dielectric Bodies.- x3. Reduction of the Basic Problems to Fredholm's Integral Equations of the Second Kind.- x4. Reduction of the Static Problems to Fredholm's Integral Equations of the First Kind.- 2. Iterative Processes6 for Solving Fredholm's Integral Equations for the Static Problems.- x1. An Iterative Process for Solving the Problem of Equilibrium Charge Distribution and Charge Distribution on a Conductor Placed in an Exterior Static Field.- x2. An Iterative Process for Solving the Problem of Dielectric Bodies in an Exterior Static Field.- x3. A Stable Iterative Process for Finding the Equilibrium Charge Distribution.- x4. An Iterative Process for Calculating the Equilibrium Charge Distribution on the Surface of a Screen.- 3. Calculating Electric Capacitance.- x1. Capacitance of Solid Conductors and Screens.- x2. Variational Principles and Two-Sided Estimates of Capacitance.- x3. Capacitance of Conductors in an Anisotropic and Nonhomogeneous Medium.- x4. Physical Analogues of Capacitance.- x5. Calculating the Potential Coefficients.- 4. Numerical Examples.- x1. Introduction.- x2. Capacitance of a Circular Cylinder.- x3. Capacitance of a Parallelepiped of Arbitrary Shape.- x4. Interaction Between Conductors.- 5. Calculating the Polarizability Tensor.- x1. Calculating the Polarizability Tensor of a Solid body.- x2. The Polarizability Tensor of a Thin Metallic Screen.- x3. The Polarizability Tensors of a Flaky-Homogeneous Body or a System of Bodies.- x4. Variational Principles for Polarizability.- 6. Iterative Methods of Solving some Integral Equations Basic in the Theory of Static Fields: Mathematical Results.- x1. Iterative Methods of Solving the Fredholm Equations of the Second Kind at a Characteristic Value.- x2. Iterative Processes for Solving Some Operator Equations.- x3. Iterative Processes for Solving the Exterior and Interior Boundary Value Problems.- x4. An Iterative Process for Solving the Fredholm Integral Equations of the First Kind with Pointwise Positive Kernel.- 7. Wave Scattering by Small Bodies.- x1. Introduction.- x2. Scalar Wave Scattering: The Single-Body Problem.- x3. Scalar Wave Scattering: The Many-Body Problem.- x4. Electromagnetic Wave Scattering.- x5. Radiation from Small Apertures and the Skin Effect for Thin Wires.- x6. The Inverse Problem of Radiation Theory.- Problems.- Bibliographical Notes.- List of Symbols.

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### 書名 Iterative methods for calculating static fields and wave scattering by small bodies Ramm, Alexander G. pbk. Springer-Verlag c1982 Softcover reprint of the original 1st ed. 1982 122 p. 24 cm 0387906827 BA07673047 ※クリックでCiNii Booksを表示 英語 アメリカ合衆国

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