'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...

questions concern well-posedness: Does the least-squares problem have a unique solution which depends continuously on the data (stability problem)? It is the...

numerical analysis is to find a stable algorithm for solving a well-posed mathematical problem. The field of numerical analysis includes many sub-disciplines...

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...

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...

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...

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...

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...

(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....

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...