mathematics, the spectral theory of ordinary differential equations is the part of spectral theory concerned with the determination of the spectrum and...
63 KB (9,370 words) - 02:43, 14 December 2023
applications, a Sturm–Liouville problem is a second-order linear ordinary differential equation of the form d d x [ p ( x ) d y d x ] + q ( x ) y = − λ w ( x...
30 KB (4,694 words) - 23:16, 18 July 2024
ordinary stochastic differential equations generalize ordinary differential equations. They have relevance to quantum field theory, statistical mechanics...
8 KB (826 words) - 03:40, 5 July 2024
stochastic differential equations. Stochastic differential equations can also be extended to differential manifolds. Stochastic differential equations originated...
36 KB (5,616 words) - 15:19, 12 July 2024
for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs). In...
17 KB (1,938 words) - 12:48, 14 June 2024
smoothness of solutions to the Navier–Stokes equations, named as one of the Millennium Prize Problems in 2000. Partial differential equations are ubiquitous...
49 KB (6,849 words) - 16:29, 8 July 2024
theory is a branch of the theory of ordinary differential equations relating to the class of solutions to periodic linear differential equations of the...
9 KB (1,315 words) - 07:00, 23 July 2024
Spectral methods are a class of techniques used in applied mathematics and scientific computing to numerically solve certain differential equations. The...
13 KB (2,515 words) - 22:44, 8 February 2024
Eigenfunction (section Schrödinger equation)
Eigenvalues and eigenvectors Hilbert–Schmidt theorem Spectral theory of ordinary differential equations Fixed point combinator Fourier transform eigenfunctions...
17 KB (2,346 words) - 17:02, 10 October 2022
separation of variables (also known as the Fourier method) is any of several methods for solving ordinary and partial differential equations, in which...
20 KB (3,415 words) - 20:33, 5 July 2024