Symbolic and Numerical Scientific Computation

Symbolics and Numerics of Differential Equations.- Notes on Triangular Sets and Triangulation-Decomposition Algorithms I: Polynomial Systems.- Notes on Triangular Sets and Triangulation-Decomposition Algorithms II: Differential Systems.- Passive Complete Orthonomic Systems of PDEs and Involutive Bases of Polynomial Modules.- Symmetries of Second- and Third-Order Ordinary Differential Equations.- Symbolic Methods for the Equivalence Problem for Systems of Implicit Ordinary Differential Equations.- On the Numerical Analysis of Overdetermined Linear Partial Differential Systems.- Dynamical Aspects of Involutive Bases Computations.- Symbolics and Numerics in Algebra and Geometry.- Congestion and Almost Invariant Sets in Dynamical Systems.- Datagraphs in Algebraic Geometry and K3 Surfaces.- Resultants and Neighborhoods of a Polynomial.- Multi-variate Polynomials and Newton-Puiseux Expansions.- Wavelets with Scale Dependent Properties.- Accurate Numerical Fourier Transform in d-Dimensions.- Exact Real Computation in Computer Algebra.- Symbolic Methods for the Element Preconditioning Technique.- Applications in Physics and Engineering.- Solving Symbolic and Numerical Problems in the Theory of Shells with Mathematica®.- A Symbolic Procedure for the Diagonalization of Linear PDEs in Accelerated Computational Engineering.- Generation of the Quasi-solitons in the Lasers: Computer Algebra Approach to an Analysis.- Nonlinear Periodic Waves in Shallow Water.