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1.

図書
図書
1. Time domain electromagnetics
edited by S.M. Rao
出版情報: San Diego ; Tokyo : Academic Press, 1999  xi, 372 p. ; 26 cm
シリーズ名: Academic Press series in engineering
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目次情報: 続きを見る
Preface
Acknowledgments
Contributors
Introduction / Miller1.：
An Initial Exploration of Time Domain Phenomena / 1.1：
The Infinite-Length Wire Antenna / 1.1.1：
The Finite-Length Wire Antenna / 1.1.2：
The Finite-Length Wire Scatterer / 1.1.3：
Late-Time Radiation from an Impulsively Excited Perfect Conductor / 1.1.4：
Some Special Capabilities of Time Domain Models / 1.1.5：
Modeling Chocies in CEM / 1.2：
Why Model in the Time Domain? / 1.2.1：
Evolution of Time Domain Modeling / 1.2.2：
Some General References / 1.2.3：
General Aspects of Time Domain Modeling / 1.3：
Model Development / 1.3.1：
Explicit vs Implicit Solution / 1.3.2：
Excitation Requirements / 1.3.3：
TD Solution / 1.3.4：
Time Domain Integral Equation Modeling / 1.4：
Some Representative TDIEs / 1.4.1：
A Prototype TDIE Model / 1.4.2：
Alternate Forms for a TDIE Solution / 1.4.3：
Excitation of a TDIE Model / 1.4.4：
Physical Implication of a TDIE Explicit Model / 1.4.5：
A Near-Neighbor TD Approximation / 1.4.6：
Time Domain Differential Equation Modeling / 1.5：
Space-Time Sampling of TDDE / 1.5.1：
Some Spatial-Mesh Alternatives / 1.5.2：
Mesh Closure Conditions / 1.5.3：
Handling Small Features in DE Models / 1.5.4：
Obtaining Far Fields from DE Models / 1.5.5：
Variations of TDDE Models / 1.5.6：
Comparison of TDDE and TDIE Models / 1.5.7：
Specific Issues Related to Time Domain Modeling / 1.6：
Increasing the Stability of the Time-Stepping Solution / 1.6.1：
Exploiting EM Singularities / 1.6.2：
Signal Processing as a Part of TD Modeling / 1.6.3：
Total-Field and Scattered-Field Formulations / 1.6.4：
Handling Frequency Dispersion and Loading in TD Models / 1.6.5：
Handling Medium and Component Nonlinearities or Time Variations in TD Models / 1.6.6：
Hybrid TD Models / 1.6.7：
The Concept of Pseudo-Time in Iterative FD Solutions / 1.6.8：
Exploiting Symmetries in TD Modeling / 1.6.9：
Concluding Remarks / 1.7：
Bibliography
Wire Structures: TDIE Solution / Rao ; Sarkar2.：
Basic Analysis / 2.1：
Analysis of a Straight Wire / 2.2：
Method of Moments Solution / 2.2.1：
Conjugate Gradient Method Solution / 2.2.2：
Numerical Example / 2.2.3：
Analysis of an Arbitrary Wire / 2.3：
Moment Method Solution / 2.3.1：
Conjugate Gradient Method / 2.3.2：
Numerical Examples / 2.3.3：
Implicit Solution Scheme / 2.4：
Application to Arbitrary Wire / 2.4.1：
Numerical Implementation / 2.4.2：
Analysis of Multiple Wires and Wire Junctions / 2.4.3：
Infinite Conducting Cylinders: TDIE Solution / Vechinski2.6：
Integral Equation Formulation / 3.1：
Discretization Scheme / 3.2：
TM Incidence: EFIE Formulation / 3.3：
Explicit Solution Procedure / 3.3.1：
Implicit Solution Procedure / 3.3.2：
TE Incidence: EFIE Formulation / 3.3.3：
TE Incidence: HFIE Formulation / 3.4.1：
Finite Conducting Bodies: TDIE Solution / 3.5.1：
Numerical Solution Scheme / 4.1：
Explicit Numerical Method / 4.2.1：
Implicit Numerical Method / 4.2.2：
Efficiency Considerations / 4.2.3：
Far-Scattered Fields / 4.2.4：
Near-Scattered Fields / 4.3.1：
Extrapolation of Time Domain Response / 4.5：
Matrix Pencil Method / 4.5.1：
Total Least Squares Matrix Pencil / 4.5.2：
Dielectric Bodies: TDIE Solution / 4.5.3：
Two-Dimensional Cylinders / 5.1：
Numerical Solution Procedure / 5.2.1：
Three-Dimensional Bodies / 5.2.2：
Finite-Difference Time Domain Method / Umashankar5.3.1：
Introduction to FDTD / 6.1：
Pulse Propagation in a Lossy, Inhomogeneous, Layered Medium / 6.2：
Propagation of Half-Sine Pulse / 6.2.1：
Remote Sensing of Inhomogeneous, Lossy, Layered Media / 6.3：
Profile Inversion Results / 6.3.1：
Key Elements of FDTD Modeling Theory / 6.4：
FDTD Formulation for Two-Dimensional Closed-Region Problems / 6.5：
FDTD Formulation for TM and TE Cases / 6.5.1：
Hollow Rectangular Waveguide / 6.5.2：
Dielectric Slab-Loaded Rectangular Waveguide / 6.5.3：
Shielded Microstrip Lines / 6.5.4：
FDTD Formulation for Two-Dimensional Open-Region Problems / 6.6：
Absorbing Radiation Boundary Condition / 6.6.1：
Second-Order Radiation Boundary Condition / 6.6.2：
Plane Wave Source Condition / 6.7：
Near- to Far-Field Transformation / 6.8：
FDTD Modeling of Curved Surfaces / 6.9：
Perfectly Conducting Object: The TE Case / 6.9.1：
Perfectly Conducting Object: The TM Case / 6.9.2：
Homogeneous Dielectric Object: The TE Case / 6.9.3：
FDTD Formulation for Three-Dimensional Closed-Region Problems / 6.10：
Three-Dimensional Full-Wave Analysis / 6.10.1：
Compact Two-Dimensional FDTD Algorithm / 6.10.2：
Evaluation of Dispersion Characteristics / 6.10.3：
FDTD Formulation for Three-Dimensional Open-Region Problems / 6.11：
Three-Dimensional Plane Wave Source Condition / 6.11.1：
Near- to Far-Field Transformation for the Three-Dimensional Case / 6.12：
RCS of a Flat-Plate Scatterer / 6.12.1：
Computer Resources and Modeling Implications / 6.13：
Transmission Line Modeling Method / Gothard ; German6.14：
The Two-Dimensional TLM / 7.1：
Time Domain Wave Equation / 7.1.1：
Time Domain Transmission Line Equation / 7.1.2：
Equating Maxwell's and the Circuit Equations / 7.1.3：
General Scattering Matrix Theory / 7.1.4：
Applying Scattering Theory to the Free-Space Shunt T-Line / 7.1.5：
Modeling Inhomogeneous Lossy Media / 7.1.6：
Excitation of the TLM Mesh and Metallic Boundaries / 7.1.7：
TLM Mesh Truncation Conditions / 7.1.8：
Discretization of the TLM Spatial Grid / 7.1.9：
TLM Output / 7.1.10：
The Series Node and Duality / 7.1.11：
Outline of the Algorithm for Two-Dimensional TLM Code / 7.1.12：
Three-Dimensional TLM / 7.2：
Special Features in TLM / 7.3：
Frequency-Dependent Material / 7.3.1：
Alternative Meshing Schemes / 7.3.2：
Antenna Array / 7.4：
Electromagnetic Scattering / 7.4.2：
Finite-Element Time Domain Method / Roy ; Salazar-Palma ; Djordjevic7.5：
Incident Field / 8.1：
Transverse Magnetic Case / 8.2：
Formulation / 8.2.1：
Finite-Element Procedure / 8.2.2：
Time-Stepping Procedure / 8.2.3：
Numerical Results / 8.2.4：
Transverse Electric Case / 8.3：
Finite-Volume Time Domain Method / Bonnet ; Ferrieres ; Michielsen ; Klotz ; Roumiguieres8.3.1：
Maxwell's Equations as a Hyperbolic Conservative System / 9.1：
The Conservative Form of Maxwell's Equations / 9.1.1：
Characteristics and Wavefront Propagation / 9.1.2：
An Elementary Form of the Finite-Volume Method / 9.1.3：
Finite-Volume Discretization of Maxwell's Equations / 9.2：
Spatial Discretizations / 9.2.1：
Temporal Discretization / 9.2.2：
Consistency and Stability / 9.2.3：
Hybridization of the FVTD Method with Other Models and Methods / 9.3：
Thin-Wire Models in the FVTD Method / 9.3.1：
Hybridization of the FVTD and the FDTD Methods / 9.3.2：
Another Approach of the Finite-Volume Approach / 9.3.3：
Dielectric Structures / 9.4：
Thin Screens with Finite Conductivity / 9.4.2：
Thin Wires / 9.4.3：
Index / 9.5：
Preface
Acknowledgments
Contributors
2.

図書
図書
2. Elementary Lie group analysis and ordinary differential equations
Nail H. Ibragimov
出版情報: Chichester, West Sussex ; New York : Wiley, c1999  xviii, 347 p. ; 24 cm
シリーズ名: Mathematical methods in practice ; v. 4
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Introduction to Differential Equations
Transformation Groups
Lie Group Analysis of Ordinary Differential Equations
Brief on Lie Algebras
First Order Differential Equations
Integration of Second Order Equations
Basic Theory of Linear Equations
Nonlinear Second Order Equations
Integration of Third Order Equations
Nonlinear Superposition Principle
Index
Introduction to Differential Equations
Transformation Groups
Lie Group Analysis of Ordinary Differential Equations
3.

図書
図書
3. Sobolev gradients and differential equations
J.W. Neuberger
出版情報: Berlin : Springer-Verlag, c1997  viii, 149 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1670
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4.

図書
図書
4. Transformations of manifolds and applications to differential equations
Keti Tenenblat
出版情報: Harlow : Longman, 1998  x, 209 p. ; 25 cm
シリーズ名: Pitman monographs and surveys in pure and applied mathematics ; 93
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Preface
Transformations of surfaces and applications / I：
Submanifolds of constant Sectional curvature / II：
Pseudo-spherical geodesic congruences and applications / III：
The generating equation / IV：
The generating intrinsic equation / V：
Laplace transformation in higher dimensions / VI：
References
Index
Preface
Transformations of surfaces and applications / I：
Submanifolds of constant Sectional curvature / II：
5.

図書
図書
5. Symmetries and conservation laws for differential equations of mathematical physics
A.V. Bocharov ... [et al.] ; I.S. Krasilʹshchik, A.M. Vinogradov (editor) ; [translated from the Russian by A.M. Verbovetsky and I.S. Krasilʹshchik]
出版情報: Providence, R.I. : American Mathematical Society, c1999  xiv, 333 p. ; 26 cm
シリーズ名: Translations of mathematical monographs ; v. 182
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Ordinary differential equations
First-order equations
The theory of classical symmetries
Higher symmetries
Conservation laws
Nonlocal symmetries
From symmetries of partial differential equations towards secondary ("quantized") calculus
Bibliography
Index
Ordinary differential equations
First-order equations
The theory of classical symmetries
6.

図書
図書
6. Fractional analysis : methods of motion decomposition
Igor V. Novozhilov
出版情報: Boston : Birkhäuser, 1997  x, 231 p. ; 25 cm
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7.

図書
図書
7. Approximation methods for solutions of differential and integral equations
V.K. Dzyadyk
出版情報: Utrecht : VSP, 1995  325 p. ; 25 cm
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8.

図書
図書
8. Multiple scale and singular perturbation methods
J. Kevorkian, J.D. Cole
出版情報: New York ; Tokyo : Springer, c1996  viii, 632 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 114
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9.

図書
図書
9. Rigid local systems (: hc ; : pbk)
by Nicholas M. Katz
出版情報: Princeton, N.J. : Princeton University Press, 1996  vii, 223 p. ; 25 cm
シリーズ名: Annals of mathematics studies ; no. 139
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First results on rigid local systems
The theory of middle concolution
Fourier
Transform and rigidity
Middle concolution: dependence on parameters
Structure of rigid local systems
Existence algorithms for rigids
Diophantine aspects of rigidity rigids
First results on rigid local systems
The theory of middle concolution
Fourier
10.

図書
図書
10. New trends in theoretical developments and computational methods
edited by N.H. Ibragimov ... [et al.]
出版情報: Boca Raton, Fl. ; Tokyo : CRC Press, c1996  xvi, 536 p. ; 25 cm
シリーズ名: CRC handbook of Lie group analysis of differential equations / edited by N.H. Ibragimov ; v. 3
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11.

図書
図書
11. Handbook of exact solutions for ordinary differential equations
Andrei D. Polyanin, Valentin F. Zaitsev
出版情報: Boca Raton ; Tokyo : CRC Press, c1995  707 p. ; 27 cm
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12.

図書
図書
12. Differential equations and numerical analysis (: pbk)
Andrew Paterson
出版情報: Cambridge : Cambridge University Press, 1991  x, 609 p. ; 23 cm
シリーズ名: SMP further mathematics series
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13.

図書
図書
13. Methods of solving singular systems of ordinary differential equations
Yuri Boyarintsev ; translated by Vassily Michalkowski
出版情報: Chichester : Wiley, c1992  vi, 163 p. ; 24 cm
シリーズ名: Pure and applied mathematics
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14.

図書
図書
14. Qualitative theory of differential equations
Zhang Zhi-fen ... [et al.] ; translated by Anthony Wing-Kwok Leung
出版情報: Providence, R.I. : American Mathematical Society, c1992  xiv, 461 p. ; 27 cm
シリーズ名: Translations of mathematical monographs ; v. 101
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15.

図書
図書
15. Elementary stability and bifurcation theory. 2nd ed (: us ; : gw)
Gérard Iooss, Daniel D. Joseph
出版情報: New York ; Tokyo : Springer-Verlag, c1990  xxiii, 324 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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Asymptotic Solutions of Evolution Problems
Bifurcation and Stability of Steady Solutions of Evolution Equations in One Dimension
Imperfection Theory and Isolated Solutions Which Perturb Bifurcation
Stability of Steady Solutions of Evolution Equations in Two Dimensions and n Dimensions. Appendices
Bifurcation of Steady Solution in Two Dimensions and the Stability of the Bifurcating Solutions. Appendix
Methods of Projection for General Problems of Bifurcation into Steady Solutions
Bifurcation of Periodic Solutions from Steady Ones (Hopf Bifurcation) in Two Dimensions
Bifurcation of Periodic Solutions in the General Case
Subharmonic Bifurcation of Forced T-Periodic Solutions
Bifurcation of Forced T-Periodic Solutions into Asymptotically Quasi-Periodic Solutions. Appendices
Secondary Subharmonic and Symptotically Quasi-Periodic Bifurcation of Periodic Solutions (of Hopf's Type) in the Autonomous Case
Stability and Bifurcation in Conservative Systems
Asymptotic Solutions of Evolution Problems
Bifurcation and Stability of Steady Solutions of Evolution Equations in One Dimension
Imperfection Theory and Isolated Solutions Which Perturb Bifurcation
16.

図書
図書
16. Completeness of root functions of regular differential operators
Sasun Yakubov
出版情報: Essex, England : Longman Scientific & Technical , New York : John Wiley & Sons, 1994  245 p. ; 24 cm
シリーズ名: Pitman monographs and surveys in pure and applied mathematics ; 71
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17.

図書
図書
17. Lie-theoretic ODE numerical analysis, mechanics, and differential systems
Robert Hermann
出版情報: Brookline, Mass. : Math Sci Press, c1994  286 p. ; 24 cm
シリーズ名: Interdisciplinary mathematics ; v. 29
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18.

図書
図書
18. Periodic motions (: us ; : gw)
Miklós Farkas
出版情報: New York : Springer-Verlag, c1994  xiii, 577 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 104
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19.

図書
図書
19. Applications in engineering and physical sciences
edited by N.H. Ibragimov ... [et al.]
出版情報: Boca Raton, Fl. ; Tokyo : CRC Press, c1995  xix, 546 p. ; 25 cm
シリーズ名: CRC handbook of Lie group analysis of differential equations / edited by N.H. Ibragimov ; v. 2
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20.

図書
図書
20. Computational modeling for fluid flow and interfacial transport
by Wei Shyy
出版情報: Amsterdam ; New York : Elsevier, 1994  xvii, 504 p. ; 25 cm
シリーズ名: Transport processes in engineering ; 5
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21.

図書
図書
21. Numerical methods based on Sinc and analytic functions (: us ; : gw)
Frank Stenger
出版情報: New York : Springer-Verlag, c1993  xv, 565 p. ; 24 cm
シリーズ名: Springer series in computational mathematics ; 20
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