Lecture
Absolute Stability in Numerical Methods
Description
This lecture discusses the concept of absolute stability in numerical methods, focusing on controlling disturbances in the solution when small disturbances occur in the data. The instructor presents a generalized model problem with continuous functions and explores the necessity of absolute stability for numerical methods. The lecture emphasizes the importance of ensuring that the exact solution does not diverge as time approaches infinity, highlighting the property of absolute stability. Various examples and comparisons are provided to illustrate the significance of absolute stability in numerical computations.
Official source
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