Optimal grids for solution to the wave equation with variable coefficients. (Russian. English summary) Zbl 1079.65091

Lisitsa, V. V.

Sib. Zh. Vychisl. Mat. 8, No. 3, 219-229 (2005).

The author applies the method of constructing optimal grids proposed by S. Asvadurov, V. Druskin, and L.  Knizhnerman [J. Comput. Phys. 158, No. 1, 116–135 (2000; Zbl 0955.65063)] to the wave equation with variable coefficients and estimates the rate of approximation. Results of numerical experiments are given.

Reviewer: N. I. Alexandrova (Novosibirsk)

MSC:

65M06	Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35L05	Wave equation
65M50	Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs

Keywords:

optimal grid; Pade-Chebyshev approximation; Gaussian quadrature rule; Lanczos method; wave equation; numerical experiments

Citations:

Zbl 0955.65063