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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 23:56, 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

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang