课程设置：

小波分析（0457） 318.012.1,教室4206，星期四下午5－7

教材：信号处理的小波导引（A Wavelet tour of signal processing）,S.Mallat著，杨力华等译

讲义一：傅立叶王国,数字化革命,信号处理入门,时频会师，框架理论,小波基，小波使用和例子1,2

Francois CHAPLAIS:http://cas.ensmp.fr/~chaplais/

http://cas.ensmp.fr/~chaplais/Wavetour_presentation/Wavetour_presentation.html

参考书籍:

小波介绍（前三章）

实用小波分析1-3，4-5，6-7，8-9，10-12 (passward:wavelet)

最新一期小波杂志

参考论文

www.google.com, http://citeseer.nj.nec.com

http://www.igpm.rwth-aachen.de/~dahmen

http://landau.mae.missouri.edu/~vasilyev/Publications/

http://www.math.uni-bremen.de/zetem/reports/reports-liste.html

http://www.igpm.rwth-aachen.de/urban/html/veroeff.html

Oleg V. Vasilyev, Christopher Bowmanm, Second Generation Wavelet Collocation Method for the Solution of Partial Differential Equations (2000)

D.E. Goldstein, O.V. Vasilyev, A.A. Wray, R.S. Rogallo, Evaluation of the use of second generation wavelets in the Coherent Vortex Simulation approach (2000)

Wolfgang Dahmen,Wavelet Methods for PDEs Some Recent Developments (1999)

Robert Bridson, Wei-Pai Tang,Multi-Resolution Approximate Inverse Preconditioners,SIAM Journal on Scientific Computing

Michael Griebel, Frank Kiefer,Generalized hierarchical basis multigrid methods for convection-diffusion problems (2001)

Thomas Gerstner, Frank Kiefer, Angela Kunoth,Wavelet and Multigrid Methods for Convection-Diffusion Equations (2001)

Arnold ReuskenConvergence Analysis Of A Multigrid Method For Convection-Diffusion Equations (2000)

Doreen Rona Naomi De Leon,Wavelet Operators Applied to Multigrid Methods (2000)

Doreen De Leon,Wavelet Techniques Applied to Multigrid Methods (2000)

Jeonghwan Ko, Andrew J. Kurdila, Peter Oswald,Scaling Function and Wavelet Preconditioners for Second Order Elliptic Problems (1998),Multiscale Wavelet Methods for Partial Differential Equations

Peter Oswald,Multilevel Solvers for Elliptic Problems on Domains (1997),Multiscale Wavelet Methods for Partial Differential Equations

Rudolf Lorenz and Peter Oswald,Multilevel Finite Element Riesz Bases in Sobolev Spaces

Albert Cohen, Luz Myriam Echeverry, Qiyu Sun,Finite Element Wavelets (2000)

Stephan Dahlke, Wolfgang Dahmen, Ronald A. DeVore,Nonlinear Approximation and Adaptive Techniques for Solving Elliptic Operator Equations (1996)

Arne Barinka, Titus Barsch, PHILIPPE CHARTON, ALBERT COHEN, STEPHAN DAHLKE, WOLFGANG DAHMEN, KARSTEN URBAN,Adaptive Wavelet Schemes for Elliptic Problems Implementation and Numerical Experiments (1998)

Stephan Dahlke, Wolfgang Dahmen, Karsten Urban ,Adaptive Wavelet Methods for Saddle Point Problems Optimal Convergence Rates (2001)

Oleg V. Vasilyev, David A. Yuen, et al,The Solution of PDE's Using Wavelets (1998)

Albert Cohen, Wolfgang Dahmen, Ronald DeVore,Adaptive Wavelet Methods for Elliptic Operator Equations Convergence Rates (1999)

Wolfgang Dahmen,Wavelet Methods for PDEs Some Recent Developments (1999)