User:Nathanielhm/Books/Differential Equations II

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Differential Equations II[edit]

General Topics
Atiyah–Singer index theorem
Boundary value problem
Bäcklund transform
Cauchy–Kovalevskaya theorem
Elliptic partial differential equation
Green's function
Homotopy principle
Partial differential equation
Separation of variables
Singular perturbation
Viscosity solution
Weak solution
Specific Partial Differential Equations
Hamilton–Jacobi equation
Hamilton–Jacobi–Bellman equation
Harmonic function
Heat equation
Klein–Gordon equation
Korteweg–de Vries equation
Laplace operator
Laplace's equation
Maxwell's equations
Navier–Stokes equations
Poisson kernel
Poisson's equation
Primitive equations
Schrödinger equation
Spherical harmonics
Wave equation
Numerical Methods for PDEs
Alternating direction implicit method
Boundary element method
Computational fluid dynamics
Finite difference
Finite element method
Finite volume method
Multigrid method
Spectral method