Sentence examples for separation of variables from inspiring English sources

Partial differential equations via separation of variables.

Studies operator adjoints and eigenproblems, series solutions, Green's functions, and separation of variables.

Separation of variables and solutions for three-dimensional systems; application to hydrogen atom.

Elementary partial differential equations: separation of variables and series solutions; diffusion, wave and Laplace equations.

In such a way the separation of variables is made.

Tools that will be developed include separation of variables, Fourier series and transforms, and Sturm-Liouville theory.

The separation of variables is employed to solve Hamiltonian dual equations of eigenvalue problem.

The method of separation of variables cannot be applied to this problem.

Consequently, the method of separation of variables can be used to solve the transformed system.

A standard separation of variables solution is numerically generated for pure power-law hardening.

Separation of variables and method of discrete singular convolution are used for computations.