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[[Category:MA375Spring2012Walther]]
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[[Category:MA271Fall2020Walther]]
  
 
'''The Laplace Operator'''
 
'''The Laplace Operator'''
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'''Table of Contents'''
 
'''Table of Contents'''
  
[[1. Introduction to the Laplace Operator]]
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[[Laplace Operator Page 1 2020|1. Background: Laplace and the History of the Laplace Operator]]
  
[[2. History of the Laplace Operator]]
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[[Laplace Operator Page 2 2020|2. Definition of the Laplace Operator]]
  
'''Introduction'''
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[[Laplace Operator Page 3 2020|3. Coordinate Conversions]]
  
The Laplace Operator is an operator defined as the divergence of the gradient of a function.  
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[[Laplace Operator Page 4 2020|4. Applications: Harmonic Functions]]
  
[[Image:laplaceoperatorgeneral.png]]
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[[Laplace Operator Page 5 2020|5. Applications: Electric Potential]]
  
<center><math>\nabla</math></center>
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[[Laplace Operator Page 6 2020|6. Example: Electric Potential]]
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[[Laplace Operator Page 7 2020|7. Applications: Image Processing]]
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[[Laplace Operator Page 9 2020|8. Vector Laplacian]]
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[[Laplace Operator Page 8 2020|9. References and Links for Further Reading]]
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[[2020 Fall MA 271 Walther| Back to Topics List]]

Latest revision as of 22:56, 6 December 2020


The Laplace Operator

Timothy Fuller and Lukas Denney


Table of Contents

1. Background: Laplace and the History of the Laplace Operator

2. Definition of the Laplace Operator

3. Coordinate Conversions

4. Applications: Harmonic Functions

5. Applications: Electric Potential

6. Example: Electric Potential

7. Applications: Image Processing

8. Vector Laplacian

9. References and Links for Further Reading

Back to Topics List

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