EE219A: Computer Analysis of Electrical Circuits Outline Lecture 4.1
Nonlinear Transient Analysis
Linear Multistep Methods
Solving Ordinary Differential Equations
Sources of Error
Local Truncation Error
Examples
Algorithm for Choosing LMM
Determination of Local Error
Summary
Implicit Methods
Convergence
Convergence by Fixed Point Argument
Other Approaches
Consistency
Convergence & Stability
Absolute Stability
Absolute Stability: Example
Use a Test Problem to Evaluate
Applied to GMM
Stability of Xn
Region of Absolute Stability
Example: Trapezoidal Rule
Finding the Region of Absolute Stability
A-Stability
Example: 7th Order Adams-Bashforth
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