Titlebook: Computer Algebra in Scientific Computing; 17th International W Vladimir P. Gerdt,Wolfram Koepf,Evgenii V. Vorozht Conference proceedings 20

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Bounds for the Condition Number of Polynomials Systems with Integer Coefficients, coefficient bitsize of the input polynomials. Such bounds allows to estimate the bit complexity of the algorithms that depend on the separation bound, like the homotopy algorithms, for solving polynomial systems.

Commentary

,Symbolic-Numeric Solution of Boundary-Value Problems for the Schrödinger Equation Using the Finite is demonstrated by analysing the scattering problems and resonance states for the Schrödinger equation with continuous (piecewise continuous) real (complex) potentials like single (double) barrier (well).

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Theodor M. Bardmann,Thomas Hermsenis demonstrated by analysing the scattering problems and resonance states for the Schrödinger equation with continuous (piecewise continuous) real (complex) potentials like single (double) barrier (well).

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Conference proceedings 2015rmany, in September 2015. ..The 35 full papers presented in this volume were carefully reviewed and selected from 42 submissions. They deal with the ongoing progress both in theoretical computer algebra and its expanding applications. New and closer interactions are fostered by combining the area of

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Finding First Integrals Using Normal Forms Modulo Differential Regular Chains,as been coded in the Maple computer algebra system and is illustrated on the pendulum and the Lotka-Volterra equations. Our algorithm amounts to finding linear dependences of rational fractions, which is solved by evaluation techniques.