I would be very interested finding out how does Matlab, Maple, etc…solve algebraic and differential equations internally? Anyone know how they do it?
2026-03-27 12:09:58.1774613398
How does Matlab, Maple, etc…solve algebraic and differential equations internally?
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Don't know about MAPLE, but MATHEMATICA's algorithms are given in the following (hard to find) link "Some Notes on Internal Implementation"
(Scroll down to "Algebra and Calculus")
Some of the algorithms (e.g. Gauss Elimination) are textbook stuff, but others are more esoteric, and might be unknown to people outside a specific research community - e.g. Higher-order linear differential equations are "solved using Abramov and Bronstein algorithms."