User:Nathanielhm/Books/Differential Equations II

Differential Equations II

 * 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