Add to ORKGMost quantitative mathematical problems cannot be solved exactly, but there are powerful algorithms for solving many of them numerically to a specified degree of precision like ten digits or ten thousand. In this article three difficult problems of this kind are presented, and the story is told of the SIAM 100-Dollar, 100-Digit Challenge. The twists and turns along the way illustrate some of the flavor of algorithmic continuous mathematics
Real parameter optimization problems are often very complex and computationally expensive. We can fi...
An appetizer is supposed to stimulate the appetite at the beginning of a meal. This is exactly the p...
The International Mathematical Olympiad (IMO) is the World Championship Mathematics Competition for ...
Most quantitative mathematical problems cannot be solved exactly, but there are powerful algorithms ...
This article was stimulated by the recent SIAM "100 Digit Challenge" of Nick Trefethen, beautifully...
Lists, challenges, and competitions have a long and primarily lustrous history in mathematics. This ...
This paper was presented as the A R Mitchell Lecture at the 2005 Dundee Biennial Conference on Numer...
In February 2002, L. N. Trefethen proposed a lis of 10 short problems, each with a numerical answer....
We present solutions to the 10 problems in the “Hundred-dollar, Hundred-digit Challenge”, along with...
Hilbert's tenth problem is one of 23 problems proposed by David Hilbert in 1900 at the International...
Number Theory is a subject that fascinates both professional number-theorists and “recreational ” ma...
When we need to add several integers, computers add them one by one, while we usually add them digit...
AbstractOne possible approach to exact real arithmetic is to use linear fractional transformations t...
The millennium problems set out by the Clay Mathematics Institute became a stimulus for mathematical...
Webster's Collegiate Dictionary defines an algorithm as "a rule of procedure for solving a...
Real parameter optimization problems are often very complex and computationally expensive. We can fi...
An appetizer is supposed to stimulate the appetite at the beginning of a meal. This is exactly the p...
The International Mathematical Olympiad (IMO) is the World Championship Mathematics Competition for ...
Most quantitative mathematical problems cannot be solved exactly, but there are powerful algorithms ...
This article was stimulated by the recent SIAM "100 Digit Challenge" of Nick Trefethen, beautifully...
Lists, challenges, and competitions have a long and primarily lustrous history in mathematics. This ...
This paper was presented as the A R Mitchell Lecture at the 2005 Dundee Biennial Conference on Numer...
In February 2002, L. N. Trefethen proposed a lis of 10 short problems, each with a numerical answer....
We present solutions to the 10 problems in the “Hundred-dollar, Hundred-digit Challenge”, along with...
Hilbert's tenth problem is one of 23 problems proposed by David Hilbert in 1900 at the International...
Number Theory is a subject that fascinates both professional number-theorists and “recreational ” ma...
When we need to add several integers, computers add them one by one, while we usually add them digit...
AbstractOne possible approach to exact real arithmetic is to use linear fractional transformations t...
The millennium problems set out by the Clay Mathematics Institute became a stimulus for mathematical...
Webster's Collegiate Dictionary defines an algorithm as "a rule of procedure for solving a...
Real parameter optimization problems are often very complex and computationally expensive. We can fi...
An appetizer is supposed to stimulate the appetite at the beginning of a meal. This is exactly the p...
The International Mathematical Olympiad (IMO) is the World Championship Mathematics Competition for ...