Wavelet approximation methods for pseudodifferential equations: I Stability and convergence

[1]  Wolfgang Dahmen,et al.  Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution , 1993, Adv. Comput. Math..

[2]  C. D. Boor,et al.  Box splines , 1993 .

[3]  W. Dahmen,et al.  Multilevel preconditioning , 1992 .

[4]  Martin Costabel,et al.  Spline collocation for strongly elliptic equations on the torus , 1992 .

[5]  Zuowei Shen,et al.  Wavelets and pre-wavelets in low dimensions , 1992 .

[6]  C. Chui,et al.  Compactly supported box-spline wavelets , 1992 .

[7]  S. Jaffard Wavelet methods for fast resolution of elliptic problems , 1992 .

[8]  R. DeVore,et al.  Compression of wavelet decompositions , 1992 .

[9]  Reinhold Schneider,et al.  Spline approximation methods for multidimensional periodic pseudodifferential equations , 1992 .

[10]  I. Daubechies,et al.  Biorthogonal bases of compactly supported wavelets , 1992 .

[11]  S. Prössdorf,et al.  Convergence of Spline Approximation Methods for Periodic Elliptic Pseudodifferential Equations , 1992 .

[12]  C. Micchelli,et al.  Stationary Subdivision , 1991 .

[13]  B. Silbermann,et al.  Numerical Analysis for Integral and Related Operator Equations , 1991 .

[14]  Charles A. Micchelli,et al.  Using the Refinement Equations for the Construction of Pre-Wavelets II: Powers of Two , 1991, Curves and Surfaces.

[15]  Reinhold Schneider,et al.  A spline collocation method for multidimensional strongly elliptic pseudodifferential operators of order zero , 1991 .

[16]  R. Coifman,et al.  Fast wavelet transforms and numerical algorithms I , 1991 .

[17]  W. McLean Local and Global Descriptions of Periodic Pseudodifferential Operators , 1991 .

[18]  A. Ron,et al.  On the integer translates of compactly supported function: dual bases and linear projectors , 1990 .

[19]  L. Hörmander The analysis of linear partial differential operators , 1990 .

[20]  S. Mallat Multiresolution approximations and wavelet orthonormal bases of L^2(R) , 1989 .

[21]  W. Hackbusch,et al.  On the fast matrix multiplication in the boundary element method by panel clustering , 1989 .

[22]  I. Daubechies Orthonormal bases of compactly supported wavelets , 1988 .

[23]  R. DeVore,et al.  Interpolation of Besov-Spaces , 1988 .

[24]  Martin Costabel,et al.  Principles of boundary element methods , 1987 .

[25]  M. Shubin Pseudodifferential Operators and Spectral Theory , 1987 .

[26]  Singular Integral Operators , 1987 .

[27]  Gunther Schmidt,et al.  On ϵ‐Collocation for Pseudodifferential Equations on a Closed Curve , 1986 .

[28]  D. Arnold,et al.  The convergence of spline collocation for strongly elliptic equations on curves , 1985 .

[29]  Wolfgang L. Wendland,et al.  ON SOME MATHEMATICAL ASPECTS OF BOUNDARY ELEMENT METHODS FOR ELLIPTIC PROBLEMS , 1985 .

[30]  C. Micchelli,et al.  On the local linear independence of translates of a box spline , 1985 .

[31]  S. Prössdorf,et al.  A spline collocation method for singular integral equations with piecewise continuous coefficients , 1984 .

[32]  Siegfried Prössdorf,et al.  Ein Lokalisierungsprinzip in der Theorie der Spline‐Approximationen und einige Anwendungen , 1984 .

[33]  B. Silbermann Lokale Theorie des Reduktionsverfahrens für singuläre Integralgleichungen , 1982 .

[34]  Bernd Silbermann,et al.  Lokale Theorie des Reduktionsverfahrens für Toeplitzoperatoren , 1981 .

[35]  S. Prössdorf,et al.  A Finite Element Collocation Method for Singular Integral Equations , 1981 .

[36]  H. Triebel Interpolation Theory, Function Spaces, Differential Operators , 1978 .

[37]  Ronald R. Coifman,et al.  Au delà des opérateurs pseudo-différentiels , 1978 .

[38]  H. Johnen,et al.  On the equivalence of the K-functional and moduli of continuity and some applications , 1976, Constructive Theory of Functions of Several Variables.

[39]  E. Stein Singular Integrals and Di?erentiability Properties of Functions , 1971 .

[40]  Joseph J. Kohn,et al.  An algebra of pseudo‐differential operators , 1965 .