| Preface | p. ix |
| Geometry, Differential and Integral Forms | p. 1 |
| Historical Remarks | p. 1 |
| Three-Dimensional Space | p. 2 |
| Integrals | p. 2 |
| First-Order Spatial Derivatives | p. 6 |
| Schematic Representation of Spatial Derivatives | p. 7 |
| Second-Order Spatial Derivatives | p. 9 |
| Coordinates | p. 12 |
| Two-Dimensional Space | p. 14 |
| Synopsis of Important Equations | p. 18 |
| Coulomb-Ampere Theory of Electricity and Magnetism | p. 23 |
| Electricity | p. 23 |
| Magnetism | p. 25 |
| Maxwell's Electrodynamics | p. 29 |
| Maxwell's Equations | p. 29 |
| Wave Equations | p. 33 |
| Potentials | p. 34 |
| Time-Harmonic Fields | p. 36 |
| Two-Dimensional Fields | p. 39 |
| Static Fields | p. 42 |
| Solutions of Field Equations | p. 45 |
| Special Solutions of Inhomogeneous Equations | p. 47 |
| General Solutions of Homogeneous Equations | p. 52 |
| Boundary Conditions | p. 61 |
| Post-Maxwellian Electrodynamics | p. 67 |
| General Remarks | p. 67 |
| The Energy Concept | p. 68 |
| Variational Integrals | p. 75 |
| Discrete Spaces | p. 76 |
| Numerical Field Computations | p. 79 |
| General Remarks | p. 79 |
| Discretization of Fields | p. 81 |
| Basis Functions | p. 82 |
| Discretization of Geometry | p. 85 |
| Discretization of Time | p. 88 |
| Discretization of Equations | p. 91 |
| Error Minimization Technique (EMT) | p. 93 |
| Projection Technique (PT) | p. 99 |
| Generalized Point Matching (GPM) | p. 104 |
| Numerical Equivalences | p. 105 |
| Solution of Linear Systems of Equations | p. 109 |
| Inhomogeneous Problems | p. 109 |
| Eigenvalue Problems | p. 111 |
| Well Known Numerical Methods | p. 117 |
| General Remarks | p. 117 |
| Geometric Theory of Diffraction (GTD) | p. 118 |
| Method of Moments (MoM) | p. 124 |
| Finite Elements (FE) | p. 128 |
| Finite Differences (FD) | p. 132 |
| Additional Techniques | p. 137 |
| Complex Numbers | p. 138 |
| Matrix Computations | p. 141 |
| Fourier and Laplace Transforms | p. 142 |
| Perturbational Methods and Iterative Techniques | p. 148 |
| Generalized Multipole Technique (GMT) | p. 157 |
| Historical Remarks | p. 157 |
| Analytic Considerations | p. 159 |
| Expansions for 2D Electrodynamics | p. 174 |
| Expansions for 2D Statics and Low Frequencies | p. 179 |
| Expansions for 3D Problems | p. 182 |
| Numerical Considerations | p. 184 |
| GPM for 3D Problems | p. 200 |
| GPM for Statics | p. 202 |
| Generalizations and Rules | p. 204 |
| Analytic Considerations | p. 204 |
| Numerical Considerations | p. 207 |
| Automatic Generation of Multipoles | p. 209 |
| Combinations with other Methods | p. 212 |
| Multiple Multipole Programs (MMP) | p. 219 |
| Concepts and Structure | p. 219 |
| Main Programs | p. 221 |
| Zoom Programs | p. 225 |
| Graphic Input Editors | p. 227 |
| Graphic Plot Programs | p. 229 |
| Fourier Transform Programs | p. 232 |
| Special Features | p. 233 |
| Scaling, Weighting, and Definition of Amplitudes | p. 233 |
| User-Defined "Special" Expansions | p. 235 |
| User-Defined "Special" Conditions | p. 236 |
| Symmetries | p. 237 |
| Error Computation | p. 240 |
| Computation of Static Problems | p. 240 |
| Computation of Real Eigenvalue Problems | p. 244 |
| Computation of Complex Eigenvalue Problems | p. 246 |
| 2D Computation of "Pseudo-3D" Problems | p. 248 |
| Connection of Problems | p. 249 |
| Perturbations | p. 252 |
| Automatic Pole Generations | p. 254 |
| Animation | p. 257 |
| Parallelization | p. 259 |
| Special Algorithms | p. 262 |
| Personal Computers and Transputers | p. 267 |
| General Remarks | p. 267 |
| Personal Computers | p. 268 |
| Transputers | p. 272 |
| Benchmarks | p. 277 |
| Index | p. 285 |
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