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[[Category:MA271Fall2020Walther]]
 
[[Category:MA271Fall2020Walther]]
==Definition and Intuition for the Laplace Operator==
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==Links for Further Reading==
  
 
1. [https://skisickness.com/2009/11/20/ Laplacian Derivations in Cylindrical and Spherical Coordinates]
 
1. [https://skisickness.com/2009/11/20/ Laplacian Derivations in Cylindrical and Spherical Coordinates]
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2. [https://docs.opencv.org/3.4/d5/db5/tutorial_laplace_operator.html OpenCV Laplace Filter Image Processing]
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3. [https://mathworld.wolfram.com/VectorLaplacian.html Vector Laplacian]
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==References==
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LaPlace's and Poisson's Equations. Retrieved December 06, 2020, from http://hyperphysics.phy-astr.gsu.edu/hbase/electric/laplace.html
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Dawkins, P. (2020, June 8). Section 5-6: Conservative Vector Fields. Retrieved December 06, 2020, from https://tutorial.math.lamar.edu/classes/calcIII/conservativevectorfield.aspx
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Editors, O. (2020, December 6). Laplace Operator. Retrieved December 07, 2020, from https://docs.opencv.org/3.4/d5/db5/tutorial_laplace_operator.html
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Editors, W. (2020, November 29). Laplace operator. Retrieved December 06, 2020, from https://en.wikipedia.org/wiki/Laplace_operator
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Editors, W. (2020, December 05). Harmonic function. Retrieved December 06, 2020, from https://en.wikipedia.org/wiki/Harmonic_function
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Ellingson, S. (2020, May 8). 4.10: The Laplacian Operator. Retrieved December 06, 2020, from https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_I_(Ellingson)/04%3A_Vector_Analysis/4.10%3A_The_Laplacian_Operator
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Sanderson, G. (2016, May 31). Laplacian Intuition. Retrieved December 05, 2020, from https://www.youtube.com/watch?v=EW08rD-GFh0&feature=emb_title&ab_channel=KhanAcademy
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O'Conner, J. J., & Robertson, E. F. (1999, January). Pierre-Simon Laplace - Biography. Retrieved December 07, 2020, from https://mathshistory.st-andrews.ac.uk/Biographies/Laplace/
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Wang, R. (2018, December 12). The Laplace Operator. Retrieved December 06, 2020, from http://fourier.eng.hmc.edu/e161/lectures/gradient/node7.html
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Weisstein, Eric W. "Harmonic Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HarmonicFunction.html
  
 
[[Walther_MA271_Fall2020_topic9|Back to main page]]
 
[[Walther_MA271_Fall2020_topic9|Back to main page]]

Latest revision as of 23:36, 6 December 2020

Links for Further Reading

1. Laplacian Derivations in Cylindrical and Spherical Coordinates

2. OpenCV Laplace Filter Image Processing

3. Vector Laplacian

References

LaPlace's and Poisson's Equations. Retrieved December 06, 2020, from http://hyperphysics.phy-astr.gsu.edu/hbase/electric/laplace.html

Dawkins, P. (2020, June 8). Section 5-6: Conservative Vector Fields. Retrieved December 06, 2020, from https://tutorial.math.lamar.edu/classes/calcIII/conservativevectorfield.aspx

Editors, O. (2020, December 6). Laplace Operator. Retrieved December 07, 2020, from https://docs.opencv.org/3.4/d5/db5/tutorial_laplace_operator.html

Editors, W. (2020, November 29). Laplace operator. Retrieved December 06, 2020, from https://en.wikipedia.org/wiki/Laplace_operator

Editors, W. (2020, December 05). Harmonic function. Retrieved December 06, 2020, from https://en.wikipedia.org/wiki/Harmonic_function

Ellingson, S. (2020, May 8). 4.10: The Laplacian Operator. Retrieved December 06, 2020, from https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Electro-Optics/Book%3A_Electromagnetics_I_(Ellingson)/04%3A_Vector_Analysis/4.10%3A_The_Laplacian_Operator

Sanderson, G. (2016, May 31). Laplacian Intuition. Retrieved December 05, 2020, from https://www.youtube.com/watch?v=EW08rD-GFh0&feature=emb_title&ab_channel=KhanAcademy

O'Conner, J. J., & Robertson, E. F. (1999, January). Pierre-Simon Laplace - Biography. Retrieved December 07, 2020, from https://mathshistory.st-andrews.ac.uk/Biographies/Laplace/

Wang, R. (2018, December 12). The Laplace Operator. Retrieved December 06, 2020, from http://fourier.eng.hmc.edu/e161/lectures/gradient/node7.html

Weisstein, Eric W. "Harmonic Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HarmonicFunction.html

Back to main page

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