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Introductory Remarks
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Wave and Scattering Methods
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Coupled Inductances and Capacitances
Multidimensional Wave Digital Filters
Subsections
Introductory Remarks
Symmetric Hyperbolic Systems
Note on Boundary Conditions
Phase and Group Velocity
Coordinate Changes and Grid Generation
Structure of Coordinate Changes
Coordinate Changes in (1+1)D
Coordinate Changes in Higher Dimensions
Embeddings
MD-passivity
MD Circuit Elements
The MD Inductor
Other MD Elements
Discretization in the Spectral Domain
Other Spectral Mappings
The (1+1)D Advection Equation
A Multidimensional Kirchoff Circuit
Stability
An Upwind Form
The (1+1)D Transmission Line
Phase and Group Velocity
MDKC for the (1+1)D Transmission Line Equations
Digression: Derivation of an Inductive Lattice Two-port
A MDWD Network for the (1+1)D Transmission Line
Energetic Interpretation
Simplified Networks
The (2+1)D Parallel-plate System
Phase and Group Velocity
MDKC and MDWD Network
Finite Difference Interpretation
MDWD Networks as Multi-step Schemes
Numerical Phase Velocity and Parasitic Modes
Initial Conditions
Boundary Conditions
Note on Perfectly Matched Layers
Balanced Forms
Extension to (2+1)D
Higher-order Accuracy
Stefan Bilbao 2002-01-22
