ANALYSIS AND COMPUTATION OF A DISCRETE KDV-BURGERS TYPE EQUATION WITH FAST DISPERSION AND SLOW DIFFUSION - ARTSTEIN, ZVI; GEAR, C. WILLIAM; KEVREKIDIS, IOANNIS G.; SLEMROD, MARSHALL; TITI, EDRISS S. (SIAM journal on numerical analysis, 2011)
Keywords: Applied mathematics; Approximation; Boundary conditions; Chemical engineering; Differential equations; Exact sciences and technology; Explicit knowledge; Mathematical analysis; Mathematical lattices; Mathematical vectors; Mathematics; Measure and integration; Nonlinear algebraic and transcendental equations; Numerical analysis; Numerical analysis. Scientific computation; Ordinary differential equations; Partial differential equations; Perceptron convergence procedure; Sciences and techniques of general use; Trajectories; Variables; Vector fields; 65L05; Transcendental equation; 34E13; singular perturbations; Differential equation; fast-slow systems; Singular perturbation; 35A35; Burgers equation; Discretization method; 34C29; Korteweg de Vries equation; Equation system; 34E15; Non linear equation; Young measure; Numerical analysis; Multiscale method; Algebraic equation; multiscale computation; Young measures; 65N22