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User:Garrett.mitchener/Books/PDE solving tools

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PDE solving tools

Functional analysis etc.

Key tools
Fundamental solution
Free boundary problem
Calculus of variations
Transform & series methods
Integral transform
Fourier transform
Laplace transform
Two-sided Laplace transform
Weierstrass transform
Hermite polynomials
Multivariable calculus
Orthogonal coordinates
Curvilinear coordinates
Tensors in curvilinear coordinates
Einstein notation
Green's theorem
Divergence theorem
Gradient theorem
Stokes' theorem
Exterior derivative
Hodge dual
Musical isomorphism