This book constitutes the proceedings of the 18th International Workshop on Computer Algebra in Scientific Computing, CASC 2016, held in Bucharest, Romania, in September 2016.
The 32 papers presented in this volume were carefully reviewed and selected from 39 submissions. They deal with cutting-edge research in all major disciplines of Computer Algebra.
On the Differential and Full Algebraic Complexities of Operator Matrices
Transformations.- Resolving Decompositions for Polynomial Modules.- Setup of
Order Conditions for Splitting Methods.- Symbolic Manipulation of Flows of
Nonlinear Evolution Equations, with Application in the Analysis of Split-Step
Time Integrators.- Improved Computation of Involutive Bases.- Computing all
Space Curve Solutions of Polynomial Systems by Polyhedral Methods.-
Algorithmic Computation of Polynomial Amoebas.- Sparse Gaussian Elimination
Modulo p: an Update.- MathCheck2: A SAT+CAS Verifier for Combinatorial
Conjectures.- Incompleteness, Undecidability and Automated Proofs (Invited
Talk).- A Numerical Method for Computing Border Curves of Bi-Parametric Real
Polynomial Systems and Applications.- The Complexity of Cylindrical Algebraic
Decomposition with Respect to Polynomial Degree.- Efficient Simplification
Techniques for Special Real Quantifier Elimination with Applications to the
Synthesis of Optimal Numerical Algorithms.- Symbolic-Numeric Algorithms for
Solving BVPs for a System of ODEs of the Second Order: Multichannel
Scattering and Eigenvalue Problems.- Symbolic Algorithm for Generating
Irreducible Rotational-Vibrational Bases of Point Groups.- A Symbolic
Investigation of the Influence of Aerodynamic Forces on Satellite
Equilibria.- Computer Algebra in High-Energy Physics (Invited Talk).- A Note
on Dynamic Gröbner Bases Computation.- Qualitative Analysis of the
Reyman-Semenov-Tian-Shansky Integrable Case of the Generalized Kowalewski
Top.- On Multiple Eigenvalues of a Matrix Dependent on a Parameter.- A
Generalised Branch-and-Bound Approach and its Application in SAT Modulo
Nonlinear Integer Arithmetic.- Computing Characteristic Polynomials of
Matrices of Structured Polynomials.- Computing Sparse Representations of
Systems of Rational Fractions.- On the General Analytical Solution of the
Kinematic Cosserat Equations.- Using Sparse Interpolation in Hensel Lifting.-
A Surveyof Satisfiability Modulo Theory.- Quadric Arrangement in Classifying
Rigid Motions of a 3D Digital Image.- A Lower Bound for Computing Lagrange's
Real Root Bound.- Enhancing the Extended Hensel Construction by Using Gröbner
Bases.- Symbolic-Numerical Optimization and Realization of the Method of
Collocations and Least Residuals for Solving the Navier-Stokes Equations.-
Pruning Algorithms for Pretropisms of Newton Polytopes.- Computational
Aspects of a Bound of Lagrange.
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