m
 
(12 intermediate revisions by 2 users not shown)
Line 8: Line 8:
 
'''Table of Contents'''
 
'''Table of Contents'''
  
[[Introduction to the Laplace Operator|1. Introduction to the Laplace Operator]]
+
[[Laplace Operator Page 1 2020|1. Background: Laplace and the History of the Laplace Operator]]
  
[[History of the Laplace Operator|2. History of the Laplace Operator]]
+
[[Laplace Operator Page 2 2020|2. Definition of the Laplace Operator]]
  
[[Laplace Operator Page 3 2020|3. Example Problem]]
+
[[Laplace Operator Page 3 2020|3. Coordinate Conversions]]
  
[[Laplace Operator Page 4 2020|4. Applications in Mathematics]]
+
[[Laplace Operator Page 4 2020|4. Applications: Harmonic Functions]]
  
[[Laplace Operator Page 5 2020|5. Applications in Science]]
+
[[Laplace Operator Page 5 2020|5. Applications: Electric Potential]]
  
[[Laplace Operator Page 6 2020|6. History of the Laplace Operator]]
+
[[Laplace Operator Page 6 2020|6. Example: Electric Potential]]
  
[[Laplace Operator Page 7 2020|7. History of the Laplace Operator]]
+
[[Laplace Operator Page 7 2020|7. Applications: Image Processing]]
  
[[Laplace Operator Page 8 2020|8. History of the Laplace Operator]]
+
[[Laplace Operator Page 9 2020|8. Vector Laplacian]]
 +
 
 +
[[Laplace Operator Page 8 2020|9. References and Links for Further Reading]]
  
 
[[2020 Fall MA 271 Walther| Back to Topics List]]
 
[[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

BSEE 2004, current Ph.D. student researching signal and image processing.

Landis Huffman