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5 votes
0 answers
77 views

Numerical and computational approaches to limit cycle theory

I am searching for a big list of papers or researches devoted to limit cycles of planar polynomial vector fields based on a computational and numerical approach. I would like to ask ...
2 votes
0 answers
185 views

Can the Moler and Morrison Algorithm be Improved?

In a nutshell, the Moler and Morrison algorithm is a fast method for calculating euclidean distances in a numerically stable way by using reflections instead of the pythagorean theorem. In order ...
Manfred Weis's user avatar
  • 13.2k
16 votes
3 answers
3k views

Current Research in Numeric Mathematics

To me, as an non-expert in the field, it seems as if numeric mathematics should have lost its importance because nowadays symbolic calculations or calculations with unlimited precision are generally ...
4 votes
1 answer
220 views

The link and equivalence between variant definition of computation model and computational complexity over reals

To unify the numerical computation and classic computability theory, or to pave a foundation for the numerical computation, mathematicians present variant computation model and computational ...
XL _At_Here_There's user avatar
37 votes
11 answers
8k views

"Must read" papers in numerical analysis

In 1993, Prof. L.N. Trefethen published a NA-net posting with a list of thirteen paper he used for teaching the seminar Classic Papers in Numerical Analysis. In Trefethen's words, ... this course ...
3 votes
0 answers
1k views

Mathematical computing rules-of-thumb [closed]

Does there exist a simple, cheatsheet-like document which compiles the best practices for mathematical computing? If not, could someone respond with a list of the top best practices? E.g., it would ...
109 votes
19 answers
38k views

Why were matrix determinants once such a big deal?

I have been told that the study of matrix determinants once comprised the bulk of linear algebra. Today, few textbooks spend more than a few pages to define it and use it to compute a matrix inverse. ...