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図書
図書
1. Computational fluid dynamics : an introduction (: gw ; : us)
John F. Wendt (editor) ; with contributions by J.D. Anderson ... [et al.]
出版情報: Berlin ; New York : Springer-Verlag, c1992  xii, 291 p. ; 24 cm
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2.

図書
図書
2. The Schwarz function and its generalization to higher dimensions
Harold S. Shapiro
出版情報: New York : Wiley, c1992  xi, 108 p. ; 25 cm
シリーズ名: University of Arkansas lecture notes in the mathematical sciences ; v. 9
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目次情報: 続きを見る
The Schwarz Principle of Reflection
The Logarithmic Potential, Balayage, and Quadrature Domains
Examples of "Quadrature Identities"
Quadrature Domains: Basic Properties, 1
Quadrature Domains: Basic Properties, 2
Schwarzian Reflection, Revisited
Projectors from L? (dOmega) to H? (dOmega)
The Friedrichs Operator
Concluding Remarks
Bibliography
Index
The Schwarz Principle of Reflection
The Logarithmic Potential, Balayage, and Quadrature Domains
Examples of "Quadrature Identities"
3.

図書
図書
3. A solutions manual (: gw ; : us)
K. Srinivas, C.A.J. Fletcher
出版情報: New York ; Tokyo : Springer-Verlag, c1992  256 p. ; 24 cm
シリーズ名: Springer series in computational physics ; . Computational techniques for fluid dynamics
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4.

図書
図書
4. Numerical methods for stochastic control problems in continuous time (: us ; : gw)
Harold J. Kushner, Paul G. Dupuis
出版情報: New York ; Tokyo : Springer-Verlag, c1992  ix, 439 p. ; 25 cm
シリーズ名: Applications of mathematics ; 24
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5.

図書
図書
5. Computational nonlinear mechanics in aerospace engineering
edited by Satya N. Atluri
出版情報: Washington, DC : American Institute of Aeronautics and Astronautics, c1992  xv, 557 p. ; 24 cm
シリーズ名: Progress in astronautics and aeronautics ; v. 146
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6.

図書
図書
6. Biorthogonality and its applications to numerical analysis
Claude Brezinski
出版情報: New York : M. Dekker, c1992  v, 166 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 156
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目次情報: 続きを見る
Introduction
Preliminaries Biorthogonality and Applications
Orthogonality for Polynomials Interpolation and Projection Kernel
The Interpolation Operator
The Method of Moments Lanczos' Method
The Bi-conjugate Gradient Method Fredholm Equation and PadT-Type
Approximants Adjacent Biorthogonal Families One-Step Forumlas Multistep Formulas
Applications Sequence Transformations Linear Multistep Methods
Approximation of Series Biorthogonal Polynomials Statistics and Least Squares
Introduction
Preliminaries Biorthogonality and Applications
Orthogonality for Polynomials Interpolation and Projection Kernel
7.

図書
図書
7. Numerical techniques in electromagnetics
Matthew N.O. Sadiku
出版情報: Boca Raton, Fla. : CRC Press, c1992  xviii, 690 p. ; 25 cm
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目次情報: 続きを見る
Fundamental Concepts / 1：
Introduction / 1.1：
Review of Electromagnetic Theory / 1.2：
Electrostatic Fields / 1.2.1：
Magnetostatic Fields / 1.2.2：
Time-varying Fields / 1.2.3：
Boundary Conditions / 1.2.4：
Wave Equations / 1.2.5：
Time-varying Potentials / 1.2.6：
Time-harmonic Fields / 1.2.7：
Classification of EM Problems / 1.3：
Classification of Solution Regions / 1.3.1：
Classification of Differential Equations / 1.3.2：
Classification of Boundary Conditions / 1.3.3：
Some Important Theorems / 1.4：
Superposition Principle / 1.4.1：
Uniqueness Theorem / 1.4.2：
References
Problems
Analytical Methods / 2：
Separation of Variables / 2.1：
Separation of Variables in Rectangular Coordinates / 2.3：
Laplace's Equations / 2.3.1：
Wave Equation / 2.3.2：
Separation of Variables in Cylindrical Coordinates / 2.4：
Laplace's Equation / 2.4.1：
Separation of Variables in Spherical Coordinates / 2.4.2：
Some Useful Orthogonal Functions / 2.5.1：
Series Expansion / 2.7：
Poisson's Equation in a Cube / 2.7.1：
Poisson's Equation in a Cylinder / 2.7.2：
Strip Transmission Line / 2.7.3：
Practical Applications / 2.8：
Scattering by Dielectric Sphere / 2.8.1：
Scattering Cross Sections / 2.8.2：
Attenuation Due to Raindrops / 2.9：
Concluding Remarks / 2.10：
Finite Difference Methods / 3：
Finite Difference Schemes / 3.1：
Finite Differencing of Parabolic PDEs / 3.3：
Finite Differencing of Hyperbolic PDEs / 3.4：
Finite Differencing of Elliptic PDEs / 3.5：
Band Matrix Method / 3.5.1：
Iterative Methods / 3.5.2：
Accuracy and Stability of FD Solutions / 3.6：
Practical Applications I--Guided Structures / 3.7：
Transmission Lines / 3.7.1：
Waveguides / 3.7.2：
Practical Applications II--Wave Scattering (FDTD) / 3.8：
Yee's Finite Difference Algorithm / 3.8.1：
Accuracy and Stability / 3.8.2：
Lattice Truncation Conditions / 3.8.3：
Initial Fields / 3.8.4：
Programming Aspects / 3.8.5：
Absorbing Boundary Conditions for FDTD / 3.9：
Finite Differencing for Nonrectangular Systems / 3.10：
Cylindrical Coordinates / 3.10.1：
Spherical Coordinates / 3.10.2：
Numerical Integration / 3.11：
Euler's Rule / 3.11.1：
Trapezoidal Rule / 3.11.2：
Simpson's Rule / 3.11.3：
Newton-Cotes Rules / 3.11.4：
Gaussian Rules / 3.11.5：
Multiple Integration / 3.11.6：
Variational Methods / 3.12：
Operators in Linear Spaces / 4.1：
Calculus of Variations / 4.3：
Construction of Functionals from PDEs / 4.4：
Rayleigh-Ritz Method / 4.5：
Weighted Residual Method / 4.6：
Collocation Method / 4.6.1：
Subdomain Method / 4.6.2：
Galerkin Method / 4.6.3：
Least Squares Method / 4.6.4：
Eigenvalue Problems / 4.7：
Moment Methods / 4.8：
Integral Equations / 5.1：
Classification of Integral Equations / 5.2.1：
Connection Between Differential and Integral Equations / 5.2.2：
Green's Functions / 5.3：
For Free Space / 5.3.1：
For Domain with Conducting Boundaries / 5.3.2：
Applications I--Quasi-Static Problems / 5.4：
Applications II--Scattering Problems / 5.5：
Scattering by Conducting Cylinder / 5.5.1：
Scattering by an Arbitrary Array of Parallel Wires / 5.5.2：
Applications III--Radiation Problems / 5.6：
Hallen's Integral Equation / 5.6.1：
Pocklington's Integral Equation / 5.6.2：
Expansion and Weighting Functions / 5.6.3：
Applications IV--EM Absorption in the Human Body / 5.7：
Derivation of Integral Equations / 5.7.1：
Transformation to Matrix Equation (Discretization) / 5.7.2：
Evaluation of Matrix Elements / 5.7.3：
Solution of the Matrix Equation / 5.7.4：
Finite Element Method / 5.8：
Solution of Laplace's Equation / 6.1：
Finite Element Discretization / 6.2.1：
Element Governing Equations / 6.2.2：
Assembling of All Elements / 6.2.3：
Solving the Resulting Equations / 6.2.4：
Solution of Poisson's Equation / 6.3：
Deriving Element-governing Equations / 6.3.1：
Solution of the Wave Equation / 6.3.2：
Automatic Mesh Generation I--Rectangular Domains / 6.5：
Automatic Mesh Generation II--Arbitrary Domains / 6.6：
Definition of Blocks / 6.6.1：
Subdivision of Each Block / 6.6.2：
Connection of Individual Blocks / 6.6.3：
Bandwidth Reduction / 6.7：
Higher Order Elements / 6.8：
Pascal Triangle / 6.8.1：
Local Coordinates / 6.8.2：
Shape Functions / 6.8.3：
Fundamental Matrices / 6.8.4：
Three-Dimensional Elements / 6.9：
Finite Element Methods for Exterior Problems / 6.10：
Infinite Element Method / 6.10.1：
Boundary Element Method / 6.10.2：
Absorbing Boundary Conditions / 6.10.3：
Transmission-line-matrix Method / 6.11：
Transmission-line Equations / 7.1：
Solution of Diffusion Equation / 7.3：
Solution of Wave Equations / 7.4：
Equivalence Between Network and Field Parameters / 7.4.1：
Dispersion Relation of Propagation Velocity / 7.4.2：
Scattering Matrix / 7.4.3：
Boundary Representation / 7.4.4：
Computation of Fields and Frequency Response / 7.4.5：
Output Response and Accuracy of Results / 7.4.6：
Inhomogeneous and Lossy Media in TLM / 7.5：
General Two-Dimensional Shunt Node / 7.5.1：
Representation of Lossy Boundaries / 7.5.2：
Three-Dimensional TLM Mesh / 7.6：
Series Nodes / 7.6.1：
Three-Dimensional Node / 7.6.2：
Error Sources and Correction / 7.6.3：
Truncation Error / 7.7.1：
Coarseness Error / 7.7.2：
Velocity Error / 7.7.3：
Misalignment Error / 7.7.4：
Monte Carlo Methods / 7.8：
Generation of Random Numbers and Variables / 8.1：
Evaluation of Error / 8.3：
Crude Monte Carlo Integration / 8.4：
Monte Carlo Integration with Antithetic Variates / 8.4.2：
Improper Integrals / 8.4.3：
Solution of Potential Problems / 8.5：
Fixed Random Walk / 8.5.1：
Floating Random Walk / 8.5.2：
Exodus Method / 8.5.3：
Regional Monte Carlo Methods / 8.6：
Method of Lines / 8.7：
Rectangular Coordinates / 9.1：
Solution of Wave Equation / 9.2.2：
Planar Microstrip Structures / 9.3.1：
Cylindrical Microstrip Structures / 9.3.2：
Time-Domain Solution / 9.4：
Vector Relations / 9.5：
Vector Identities / A.1：
Vector Theorems / A.2：
Orthogonal Coordinates / A.3：
Solving Electromagnetic Problems Using C++ / B：
A Brief Description of C++ / B.1：
Object-Orientation / B.3：
C++ Object-Oriented Language Features / B.4：
A Final Note / B.5：
Numerical Techniques in C++ / C：
Solution of Simultaneous Equations / D：
Elimination Methods / D.1：
Gauss's Method / D.1.1：
Cholesky's Method / D.1.2：
Jacobi's Method / D.2：
Gauss-Seidel Method / D.2.2：
Relaxation Method / D.2.3：
Gradient Methods / D.2.4：
Matrix Inversion / D.3：
Iteration (or Power) Method / D.4：
Answers to Odd-Numbered Problems / D.4.2：
Index
Fundamental Concepts / 1：
Introduction / 1.1：
Review of Electromagnetic Theory / 1.2：
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