Data Driven Modeling
&
Scientific Computation

Data-Driven Modeling & Scientific Computation

Lecture 1: Ch. 9.1

 

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Method of Lines1: This lecture provides an introduction to solving PDEs using the method of lines.

 

Lecture 2: Ch. 9.2

 

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Method of Lines 2: This lecture introduces a variety of explicit and implicit time-stepping algorithms.

 

Lecture 3: Ch. 9.3

 

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Method of Lines 3: This lecture introduces the von Neumann analysis for characterizing stability of time-stepping schemes.

 

 

 

Lecture 4: Ch. 9.4

 

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Method of Lines 4: This lecture compares various time-stepping methods in regard to stability.

 

Lecture 5: Ch. 9.5

 

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Method of Lines 5: This lecture shows how operator splitting methods can be exploited for stable time-stepping.

 

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