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Titlebook: Computer Algebra in Scientific Computing; 21st International W Matthew England,Wolfram Koepf,Evgenii V. Vorozhtso Conference proceedings 20

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On Linear Invariant Manifolds in the Generalized Problem of Motion of a Top in a Magnetic Field,ue, we find the linear invariant manifolds of codimension 1 and use them in the qualitative analysis of the equations. Computer algebra tools are applied to obtain the invariant manifolds and to analyze the equations. These tools proved to be essential.
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Robust Schur Stability of a Polynomial Matrix Family,the distance to instability from any internal point of the domain to its boundary. The treatment is performed in the ideology of analytical algorithm for elimination of variables and localization of zeros of algebraic systems. Some examples are given.
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An Algorithm for Computing Coefficients of Words in Expressions Involving Exponentials and Its Apple structure of the local error is briefly reviewed. As an application the coefficients of all 8th order self-adjoint commutator-free Magnus-type integrators involving the minimum number of 8 exponentials are computed.
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Conference proceedings 2019ic-numerical computation,  applications of symbolic computation for investigating and solving ordinary differential equations,  applications of CASs in the investigation and solution of celestial mechanics problems, and in mechanics, physics, and robotics..
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0302-9743 and symbolic-numerical computation,  applications of symbolic computation for investigating and solving ordinary differential equations,  applications of CASs in the investigation and solution of celestial mechanics problems, and in mechanics, physics, and robotics..978-3-030-26830-5978-3-030-26831-2Series ISSN 0302-9743 Series E-ISSN 1611-3349
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The Implementation of the Symbolic-Numerical Method for Finding the Adiabatic Waveguide Modes of Intions of the system is constructed in symbolic form. A numerical method for computing the guided modes of a planar three-layer open waveguide is formulated and implemented using a vector model of the adiabatic waveguide modes. Phase constants calculated in the framework of the model of adiabatic wav
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