• 'natural' problems in that there are physical processes modelled by these problems. Problems that are not well-posed in the sense above are termed ill-posed. Inverse...
    6 KB (1,084 words) - 03:29, 21 December 2023
  • questions concern well-posedness: Does the least-squares problem have a unique solution which depends continuously on the data (stability problem)? It is the...
    66 KB (8,990 words) - 00:40, 1 October 2024
  • Thumbnail for Numerical analysis
    numerical analysis is to find a stable algorithm for solving a well-posed mathematical problem. The field of numerical analysis includes many sub-disciplines...
    39 KB (4,047 words) - 13:21, 29 September 2024
  • one over another; accordingly, the problem as stated has no unique solution. In his 1973 paper "The Well-Posed Problem", Edwin Jaynes proposed a solution...
    13 KB (1,610 words) - 19:43, 30 November 2023
  • Thumbnail for Boundary value problem
    useful in applications, a boundary value problem should be well posed. This means that given the input to the problem there exists a unique solution, which...
    9 KB (1,037 words) - 12:04, 30 June 2024
  • numerical algorithm. Let F ( x , y ) = 0 {\displaystyle F(x,y)=0} be a well-posed problem, i.e. F : X × Y → R {\displaystyle F:X\times Y\rightarrow \mathbb...
    4 KB (686 words) - 22:27, 10 August 2024
  • Thumbnail for All's Well That Ends Well
    1598 to 1608. The play is considered one of Shakespeare's "problem plays", a play that poses complex ethical dilemmas that require more than typically...
    18 KB (2,214 words) - 08:42, 22 August 2024
  • Thumbnail for Edwin Thompson Jaynes
    (3): 227–241. doi:10.1109/TSSC.1968.300117. — (December 1973). "The Well-Posed Problem" (PDF). Found. Phys. 3 (4): 477–492. Bibcode:1973FoPh....3..477J....
    7 KB (512 words) - 10:59, 27 October 2024
  • is watertight, it is a well-posed problem. If it is not, it is an ill-posed problem. The potential flow equation with well-posed boundary conditions applied...
    13 KB (1,541 words) - 20:59, 13 September 2022
  • eighth problem, and is still considered an important open problem a century later. The problem has been well-known ever since it was originally posed by Bernhard...
    24 KB (2,654 words) - 12:08, 23 October 2024