Asymptotic Expansion of the Solutions to a Regularized Boussinesq System (Theory and Numerics) - Safa, Ahmad; Le Meur, Hervé; Chehab, Jean-Paul; Talhouk, Raafat (Acta applicandae mathematicae, 2024)
Keywords: Algorithms; Applications of Mathematics; Asymptotic series; Boussinesq equations; Calculus of Variations and Optimal Control; Optimization; Cauchy problems; Computational Mathematics and Numerical Analysis; Differential equations; Fourier transforms; Mathematical analysis; Mathematics; Mathematics and Statistics; Numerical analysis; Operators (mathematics); Partial Differential Equations; Probability Theory and Stochastic Processes; Surface water; Water waves; Wave propagation; Numerical Fourier transform; Energy estimate; 35Q35; 65T99; Boussinesq system; 35B30; 35B40; 35L56; Numerical stability; Cauchy problem; Numerical expansion; numerical Fourier transform; numerical expansion. Mathematics Subject Classification numbers: 35Q35; numerical stability