Titlebook: Computer Algebra in Scientific Computing; 22nd International W François Boulier,Matthew England,Evgenii V. Vorozh Conference proceedings 20

Pigeon

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Algebraic and Geometric Analysis of Singularities of Implicit Differential Equations (,),ue problems for a second-order ordinary differential equation how geometric methods allow us to determine the local solution behaviour in the neighbourhood of a singularity including the regularity of the solution. Finally, we show for some simple cases of algebraic singularities how there such an analysis can be performed.

绊住

On Periodic Approximate Solutions of the Three-Body Problem Found by Conservative Difference Schemen be solved by purely algebraic methods. Two theorems are proved that reduce this problem to the study of the midpoint scheme properties for a system of coupled oscillators. It is shown that in the case when the bodies form a regular triangle, the approximate solution inherits the periodicity property of the exact Lagrange solution.

Prophylaxis

白杨鱼

,The GPGCD Algorithm with the Bézout Matrix,than those computed by the original algorithm. They also show that the computing time of the proposed algorithm is smaller than that of the SNTLS algorithm, which also uses the Bézout matrix, with a smaller amount of perturbations of the given polynomials and a higher stability.

一小块

0302-9743 ating and solving ordinary differential equations, applications of CAS in the investigation and solution of celestial mechanics problems, and in mechanics, physics, and robotics..978-3-030-60025-9978-3-030-60026-6Series ISSN 0302-9743 Series E-ISSN 1611-3349

盟军

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Pituitary-Gland

One-dimensional Scalar Equationsor symbolic-numerical expressions for vector fields of guided modes. Making use of advanced computer algebra systems, we describe fundamental properties of adiabatic modes in symbolic form. Numerical results are also obtained by means of computer algebra systems.

抱负

Tropical Geometry of Biological Systems (,),algebraic geometry. In tropical geometry, tools like the logarithmic transformation coarse grain complex objects, drastically simplifying their analysis. I discuss here how similar concepts can be applied to dynamical systems used in biological modeling. In particular, tropical geometry is a natural