Titlebook: Computer Algebrain Scientific Computing; 23rd International W François Boulier,Matthew England,Evgenii V. Vorozh Conference proceedings 202

感情

Applications of Generalized Inversest-finding iterations of independent interest. We demonstrate our practical progress with numerical tests, provide extensive analysis of the resulting algorithms, and show that, like the preceding subdivision root-finders, they support near optimal Boolean complexity bounds.

竖琴

David B. Learner,Fred Y. Phillipsensor products to compose them to achieve multivariate higher-order AD. The algorithms in the present paper can also be used for a pedagogical purpose in learning and studying smooth infinitesimal analysis as well.

botany

cluster

Root Radii and Subdivision for Polynomial Root-Finding,t-finding iterations of independent interest. We demonstrate our practical progress with numerical tests, provide extensive analysis of the resulting algorithms, and show that, like the preceding subdivision root-finders, they support near optimal Boolean complexity bounds.

东西

垄断

,Families of Polynomials in the Study of Biochemical Reaction Networks,and many parameters. These polynomials have a combinatorial structure that comes from the digraph of reactions. We show that different techniques can be strengthened and applied for biochemical networks with special structure.

impaction

On First Integrals and Invariant Manifolds in the Generalized Problem of the Motion of a Rigid Bodyegrals. Special solutions are found from the necessary extremum conditions of the integrals and their Lyapunov stability is investigated. Computer algebra methods such as the reduction of a polynomial with respect to a list of polynomials, the Gröbner basis method, etc. are used to obtain the integrals and manifolds and to analyze the equations.

要求比…更好

On the Pseudo-Periodicity of the Integer Hull of Parametric Convex Polygons,“simple” one-to-one correspondence. We state and prove explicit formulas for the pseudo-period . and that correspondence between . and .. This result and the ingredients of its proof lead us to propose a new algorithm for computing the integer hull of a rational convex polygon.

Hemoptysis

anesthesia

,Testing Binomiality of Chemical Reaction Networks Using Comprehensive Gröbner Systems,compute comprehensive Gröbner systems for various reactions. In particular, we make automatic computations on n-site phosphorylations and biomodels from the Biomodels repository using the grobcov library of the computer algebra system Singular.