PARTIAL DIFFERENTIAL EQUATIONS

PARTIAL DIFFERENTIAL EQUATIONS:

- General/Various:
- Analytical Methods in Physics by Yi-Zen Chu [2015] Textbook, 232 pp.
- The masterpieces of John Forbes Nash Jr by Camillo De Lellis [2016/06] 102 pp. "I have tried to rewrite four famous works of Nash [on partial differential equations] in a more modern language while adhering as much as possible to the original arguments."

- General: NUMERICAL METHODS:
*FINITE ELEMENT; MULTIGRID;* - Types:
*DIFFUSION; DIRAC; HEAT; KLEIN-GORDON; SCHROEDINGER; WAVE;* - Type: CHOQUARD:
- A guide to the Choquard equation by Vitaly Moroz and Jean Van Schaftingen [2016/06]

- Type: FREE BOUNDARY:
- Obstacle problems and free boundaries: an overview by Xavier Ros-Oton [2017/07]

- Type: MULTISCALE: Re: WAVELETS:
*Goedecker and Ivanov 98/03;* - Type: NONLINEAR:
- Symmetry and Integrability of Classical Field Equations by Costas J. Papachristou [2008/03]

- Type: STOCHASTIC:
- Lectures on singular stochastic PDEs by M. Gubinelli and N. Perkowski [2014/08]

- Type: TRICOMI:
- Tricomi Equation by Gui-Qiang Chen [2013/11]

- Aspects: BÄCKLUND TRANSFORMATIONS:
- The Maxwell equations as a Bäcklund transformation by C. J. Papachristou [2015/05]
- Bäcklund Transformations: Some New and Old Perspectives by C. J. Papachristou and A. N. Magoulas [2016/07]

- Aspects: EIGENFUNCTIONS:
- Park City lectures on Eigenfunctions [of the Laplacian] by Steve Zelditch [2013/10]

- Aspects: INTEGRABILITY:
- Aspects of Integrability of Differential Systems and Fields by Costas J. Papachristou [2015/11]

- Aspect: SPECTRAL THEORY:
- Spectral Theory of Partial Differential Equations - Lecture Notes by Richard S. Laugesen [2012/03] 120 pp.

- Aspect: SYMMETRIES:
- The Differential Form Method for Finding Symmetries by B. Kent Harrison [2005/10]
- Symmetry and Integrability of Classical Field Equations by Costas J. Papachristou [2008/03]

- Aspects: TWO-POINT FUNCTIONS:
- Two-point functions and their applications in geometry by S. Brendle [2014/02]

- Re: CHAOS:
- Chaos in Partial Differential Equations, Navier-Stokes Equations and Turbulence by Y. Charles Li [2007/12]
- Chaos in Partial Differential Equations by Y. Charles Li [2009/09]

- Re: GRAPHS:
- PDE Approaches to Graph Analysis by Justin Solomon [2015/05]

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