|
Section
|
Topic
|
Page
|
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Chapter 25
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Electrostatic Potentials
|
343
|
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25.1
|
Introduction: Types of PDE'S
|
343
|
|
25.2
|
Problem: Determining An Electrostatic Potential
|
344
|
|
25.3
|
Theory: Laplace's Equation (Elliptic PDE)
|
344
|
|
25.4
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Method, Numerical: Finite Difference
|
345
|
|
25.5
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Method, Analytic: Polynomial Expansions
|
347
|
|
25.6
|
Implementation: Solution on Lattice, laplace.f
|
350
|
|
25.7
|
Assessment And Visualization
|
351
|
|
25.8
|
Exploration
|
351
|
|
25.9
|
Exploration: Parallel-Plate Capacitor
|
352
|
|
25.10
|
Exploration: Field Between Square Conductors
|
352
|
|
Chapter 26
|
Heat Flow
|
355
|
|
26.1
|
Problem: Heat Flow In A Metal Bar
|
355
|
|
26.2
|
Model: The Heat (Parabolic) PDE
|
355
|
|
26.3
|
Method, Analytic: Polynomial Expansions
|
356
|
|
26.4
|
Method, Numerical: Finite Difference
|
358
|
|
26.5
|
Analytic Assessment: Algorithm
|
359
|
|
26.6
|
Implementation, Heat Equation, eqheat.f
(.c)
|
360
|
|
26.7
|
Assessment: Continuity, Numeric vs Analytic
|
361
|
|
26.8
|
Assessment: Visualization
|
362
|
|
26.9
|
Exploration
|
362
|
|
Chapter 27
|
Waves on a String
|
365
|
|
27.1
|
Problem: A Vibrating String
|
365
|
|
27.2
|
Model: The Wave Equation (Hyperbolic PDE)
|
365
|
|
27.3
|
Method, Numerical: Time Stepping
|
367
|
|
27.4
|
Method, Analytic: Normal Modes
|
369
|
|
27.5
|
Implementation, Wave Equation, eqstring.f
(.c)
|
371
|
|
27.6
|
Assessment: Visualization
|
371
|
|
27.7
|
Exploration
|
372
|