Two-Dimensional Wavelet Bases for Partial Differential Operators and Applications
Mohamed Ali Hajji, S. Melkonian, Rémi Vaillancourt · Birkhäuser Basel eBooks · 2004
Partial differential operators are represented in non-standard form in separable two-dimensional orthonormal wavelet bases. A formal pseudodifferential approach is suggested for numerical applications. Applications are to the fifth-order quasilinear thin-film equation on an inclined plane. Mathematics Subject Classification (2000).Primary 65T60; Secondary 35Q51.