regularization of linear ill-posed problems. The existence of local solutions is often an important part of the well-posedness problem, and it is the foundation...

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

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

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...

, ∞ ) . {\displaystyle t\in [0,\infty ).} A well posed Cauchy problem is said to be uniformly well posed if u n ( 0 ) → 0 {\displaystyle u_{n}(0)\to 0}...

square root of 2 (which is roughly 1.41421) is a well-posed problem. Many algorithms solve this problem by starting with an initial approximation x0 to...

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...

(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....

values. Thus, we require some assumption on the matrix to create a well-posed problem, such as assuming it has maximal determinant, is positive definite...

possible to consider the associated abstract Cauchy problem and show that it is a well-posed problem and/or to show some qualitative properties (like preservation...

Taniyama's problems are a set of 36 mathematical problems posed by Japanese mathematician Yutaka Taniyama in 1955. The problems primarily focused on algebraic...

the foundations of functional analysis. He introduced the idea of well-posed problem and the method of descent in the theory of partial differential equations...

V_{n}} . Therefore, the well-posedness of the Galerkin problem is actually inherited from the well-posedness of the original problem. The error u − u n {\displaystyle...

for reasons of computation or to make sure they are addressing a well-posed problem, experimental economists have shown that real human decisions often...

1598 to 1608. The play is considered one of Shakespeare's "problem plays", those that pose ethical dilemmas that require more than typically simple solutions...

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...

Truncation error — error committed by doing only a finite numbers of steps Well-posed problem Affine arithmetic Unrestricted algorithm Summation: Kahan summation...

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...

Make a Deal and named after its original host, Monty Hall. The problem was originally posed (and solved) in a letter by Steve Selvin to the American Statistician...

prefer to the term problem posing. Basadur distinguished problem discovery and problem formulation; then later problem generation and problem conceptualization...

lattice field theories, where the equations of motion need not define a well-posed problem as they do not need to be solved. Instead, Elitzur's theorem shows...

statistical problems; cf. well-posed problems. Finding the right method for constructing such "objective" priors (for appropriate classes of regular problems) has...

are 92 solutions. The problem was first posed in the mid-19th century. In the modern era, it is often used as an example problem for various computer programming...

classification of problem-solving tasks is into well-defined problems with specific obstacles and goals, and ill-defined problems in which the current...

associated problems in other philosophical fields, such as secular ethics and evolutionary ethics. But as usually understood, the problem of evil is posed in...

Hilbert's eighth problem is one of David Hilbert's list of open mathematical problems posed in 1900. It concerns number theory, and in particular the Riemann...

decision problem is a computational problem that can be posed as a yes–no question on a set of input values. An example of a decision problem is deciding...

varies rapidly in space and is non-analytic at the boundary itself. A well-posed problem prescribes boundary data on only half of the p domain: the positive...

MR 4225268. Guy, Richard K. (1983). "An olla-podrida of open problems, often oddly posed". American Mathematical Monthly. 90 (3): 196–200. doi:10.2307/2975549...