8. Publications
Books
- 1979 . The Systems of Partial Differential Equations of Second Order with Two Independent Variables and Two Unknown Functions , Beijing (Peking) : China National Scientific Press . (with Hua Loo Keng and Wu Ciqian)
- Lin , Wei and Chen , Yunfeng , eds. 1981 . The Distributed Control Systems , China National Defense Industry Press .
- 1985 . Second-order Systems of Partial Differential Equations in the Plane , Research notes in Mathematics Series 128 Boston, London, Melbourne : Pitman Publishing Inc. . (with Hua Loo Keng and Wu Ciqian)
- 1990 . Systems of Equations of Composite Type , London : Longman Publishing Inc. . (translated from Russian by Wei Lin and H. Begehr)
- Integral Equations and Boundary Value Problems . Proceedings of the International Conference on Integral Equations and Boundary Value Problems . September 1990 , Beijing. Singapore : World Scientific . (with Guo-chun Wen and Zhen Zhao)
- Donggao , Deng , Daren , Huang , Rong-Qing , Jia , Wei , Lin and Jianzhong , Wang . Wavelet Analysis and Applications . The Proceedings of the Conference on Wavelet Analysis and its Applications . November 1999 , Guangzhou. Studies in Advanced Mathematics , Vol. 25 , Somerville, MA : International Press . (Eds)
Research papers
- 1957 . Some schlicht mappings about Lowner differential equation . Acta Scientiarum Naturalium Universitatis Sunyatseni , Guangzhou
- 1957 . On regular functions subordinate to covex functions . Acta Scientiarum Naturalium Universitatis Sunyatseni , Guangzhou, [(3)–(5) joint papers with Hua Loo Keng and Wu Ciqian]
- 1964 . The canonical form of the systems of partial differential equations of second order . Kexue Tongbao , (a monthly journal of science, Beijing), Guangzhou
- 1965 . On the classification of the system of differential equations of the second order . Scientia Sinica , XIV ( 3 )
- 1965 . On the uniqueness of the solution of the Dirichlet problem of an elliptic system of differential equations . Acta Mathematics Sinica , 15 ( 2 )
- 1964 . On the systems of the hyperbolic equations of the second order (I) . Acta Scientiarum Naturalium Universitatis Sunyatseni , Guangzhou, (with Wu Ciqian)
- 1964 . On the systems of the elliptic equations of the second order (I) . Acta Scientiarum Naturalium Universitatis Sunyatseni , Guangzhou, (with Wu Ciqian)
- 1964 . On the systems of the partial differential equations of complex type of second order . Acta Scientiarum Naturalium Universitatis Sunyatseni , Guangzhou, (with Wu Ciqian)
- 1964 . On the systems of the parabolic equations of second order . Acta Scientiarum Naturalium Universitatis Sunyatseni , Guangzhou, (with Wu Ciqian)
- 1965 . On the bianalytic funtions of (λ, κ) type . Acta Scientiarum Naturalium Universitatis Sunyatseni , Guangzhou, (with Wu Ciqian)
- 1965 . On the systems of the elliptic equations of the second order (II) . Acta Scientiarum Naturalium Universitatis Sunyatseni , Guangzhou, (with Wu Ciqian)
- 1965 . On the systems of the hyperbolic equations of second order (II) . Acta Scientiarum Naturalium Universitatis Sunyatseni , Guangzhou, (with Wu Ciqian)
- 1973 . A servo mechanism system with silicon-controlled at intermittent current . Acta Scientiarum Naturalium Universitatis Sunyatseni , Guangzhou
- 1979 . The systems of partial differential equations of second order with two independent variables and two unknown functions . Selected Research Works on Natural Sciences of Sun Yat-sen University (1955–78) . 1979 , Canton. (with Wu Ciqian)
- 1980 . The first characteristic problem for the systems of the hyperbolic equations . Acta Scientiarum Naturalium Universitatis Sunyatseni , Guangzhou, (with Wu Ciqian)
- 1980 . The second characteristic problem for the systems of the hyperbolic equations . Acta Scientiarum Naturalium Universitatis Sunyatseni , Guangzhou, (with Wu Ciqian)
- 1980 . The third characteristic problem for the systems of the hyperbolic equations . Acta Scientiarum Naturalium Universitatis Sunyatseni , Guangzhou, (with Wu Ciqian)
- 1982 . Theory of block structures of distributed parameter systems . Applied Mathematics and Computation , Chengdu, (with Chen Yunfeng)
- 1982 . The computer control of a group of plastic molding presser . Electrical Automation , Shanghai
- 1983) (with R.P. Gilbert . Algorithms for generalized Cauchy Kernels . Complex Variables , 2 ( 1 )
- 1984 . Some optimal control problems in distributed system with quadratic performance . Control Theory and Applications , Guangzhou, (with Chen Yunfeng)
- 1984 . Some problems for the systems of equations of composite type . Acta Scientiarum Naturalium Universitatis Sunyatseni , Guangzhou, (with Wu Ciqian)
- 1985 . Function theoretic solutions to problems of equations of orthotropic elasticity . Journal of elasticity , (Boston: Kluwer), (with R.P.Gilbert)
- 1985 . Constructive methods for fourth-order elliptic equations . Journal of Approximation Theory , (Boston: Kluwer), (with R.P. Gilbert)
- 1987 . Some second-order systems of partial differential equations of composite type . Proceeding of the Royal Society of Edinburgh , 106A
- 1988 . A survey of the recent development in the partial differential equations of the composite type . Journal of Sichuan Normal University , : 25 (Natural Science) Suppl. (Total No. 42), (with Dai Dao-qing)
- 1990 . The Cauchy type integral for M-analytic funtions and its applications . Acta Mathematics Scientia , 10 ( 2 ) : 149 – 166 . (with Dai Dao-qing)
- 1990 . On Singular integral equation with hyperanalytic Cauchy kernel . Journal of Mathematical Research and Exposition , Beijing, (with Dai Dao-qing)
- A mixed-contact boundary value problem for the orthotropic elasticity . Proceedings of the International Conference on ‘Integral Equations and Boundary Value Problems’ . 1990 , Beijing. pp. 110 – 116 . Singapore : World Scientific .
- 1992 . Piecewise continuous solution of nonlinear pseudoparabolic equation in two space dimensions . Proceedings Royal Society of Edinburgh Series A , 121 (with Dai Dao-qing)
- 1992 . “ The Riemann-Hilbert boundary value problems associated with linear and semilinear pseudoparabolic systems of two space variables ” . In Partial Differential Equations with Complex Analysis , Pitman Research Notes in Math. No. 262 New York : Longman . (with Dai Daoqing)
- 1992 . “ A mixed-contact boundary value problem in orthotropic elasticity ” . In Partial Differential Equations with Real Analysis , Pitman Research Notes in Math. No. 263 219 – 239 . New York : Longman . (with H. Begehr)
- 1993 . Wavelet solutions for time harmonic acoustic waves in a finite depth ocean . Journal of Computational Acoustics , 1 ( 1 ) (with R.P. Gilbert)
- 1994 . “ The systems of second order partial differential equations with constant coefficients ” . In Partial Differential Equations in China , Boston : Kluwer Academic Publishers . (with Wu Ciquan)
- 1995 . Numerical solution to problems concerning quasi-static thermoelasticity . Applicable Analysis , 57 : 221 – 234 . (with Zhao Yiqiu)
- 1995 . On the plane problem of orthotropic quasi-static thermoelasticity . Journal of Elasticity , 41 : 161 – 175 . (with Zhao Yiqiu)
- On semi-orthogonal wavelet bases of periodic splines and their duals . Proceedings of the International Conference on ‘Differential Equations and Control Theory’ . May 1994 , Wuhan. New York : Marcel Dekker . (with Liu Mingsheng)
- 1996 . The semi-orthogonal spline wavelet bases of L2 [0,1] and their duals . Mathematics Annals Sinnca , 17 ( 5 ) (with Liu Mingsheng)
- 1996 . Normal modes analysis for sounds waves in an ocean with an ice cap and a perfectly reflecting bottom . Applicable Analysis , 63 : 167 – 181 . (with Yongzhi Xu and Zhao Yuqiu)
- 1997 . On plane stress BVP of quasi-static linear thermoelasticity . Acta Mathematicae Applicatae Sinica , 13 ( 4 ) (with Zhao Yuqiu)
- 1997 . On the convergence of wavelet series of a continuous function nonlinear analysis . (with Dai Daoqing)
- 1997 . Multiresolution decomposition of the Bargman space (with Daoqing Dai) . Proceedings of Fifth International Colloquium on Complex Analysis . 1997 . pp. 41 – 44 .
- 1997 . Hadamard singular integral equations and its Hermite Wavelet Methods (Wensheng Chen) . Proceedings of Fifth International Colloquium on Complex Analysis . 1997 . pp. 13 – 22 .
- 1998 . ID-wavelets method for Hammerstein integral equations . Journal of Computational Mathematics , 96 : 499 – 508 . (with Wang Xianbao)
- 1998 . Fast wavelet algorithm of the Poisson integral, (with Tonglin Zhu) . Applied Mathematics and Computation , 96 : 127 – 144 .
- 1998 . On the periodic orthonormal wavelet system (wih Dai Dao Qing) . Acta Mathematics Scientia , 18 ( 1 ) : 74 – 78 .
- Bi-analytic functions and their applications in elasticity (with Yuqiu Zhao) . Proceedings of 1st Conference of ISAAC . 1997 , Delaware, UAS. Dordrecht : Kluwer .
- 1999 . Applications of symmetric methods in the basic problems of orthotropic elasticity (with L.I. Chibrikova) . Applicable Analysis , 73 : 19 – 44 .
- The Algorithm implementation of Cauchy singular integral in Daubechies wavelets on interval, with Li Qi, to appear at the Proceeding of 2nd Conference of ISAAC . 1999 , Fukuoka, Japan. Dordrecht : Kluwer .
- The wavelet solutions to the natural integral equtions of plane elasticity problem (with Y.J. Shen) . Proceeding of 2nd Conference of ISAAC . 1999 , Fukuoka, Japan. Dordrecht : Kluwer .
- 1999 . Generalized dual space indicator method for imaging obstacles in a homogeneous medium (with Xu, Yongzhi; Mawata, Christopher) . Proceedings of the 2nd ISAAC Congress . 1999 , Fukuoka. Vol. 2 , pp. 1599 – 1606 . Int. Soc. Anal. Appl. Comput., 8, Kluwer Acad. Publ., Dordrecht, 2000
- Wavelet method for the numerical approximation of Bergman kernel, with YongHu Zhang . Proceeding of the International Conference on ‘BVPs, Integral Equations and Related Problems’ . 1999 , Beijing. Singapore : World Scientific . To appear in
- Gilbert , RP , Kajiwara , J and Xu , YS , eds. 2000 . “ Numerical solutions to acoustic scattering in shallow oceans by periodic wavelets (with Xianbiao Wang) ” . In Direct and Inverse Problems of Mathematical Physics , 267 – 279 . Dordrecht : Kluwer Academic Publishers .
- 2000 . An inverse scattering method for underwater imaging (with Yongzhi Xu and Christopher Mawata) . Inverse Problems , 16 : 1762 – 1776 .
- 2001 . Galerkin trigonometric wavelet methods for the natural boundary integral equations (with Chen Wen Sheng) . Applied Mathematics and Computation , 121 : 75 – 92 .
- 2001 . Wavelet algorithm for the numerical solution of plane elasticity problem (with Youjian Shen) . Proceeding of WAA-2001 . 2001 , Berlin. pp. 39 – 144 . Springer .
- 2002 . Realistically modeling facial expressions using NURBS curves (with Ding Huang and Hong Yan) . “The 6th International Computer Science Conference: Active Media Technology” . 2002 . Lecture notes in Computer Science (LNCS) series ,
- Trigonometric Hermite wavelet and natural integral equations for Stokes problems (with Wensheng Chen) . Wavelet Analysis and Applications (The Proceedings of the Conference on Wavelet Analysis and its Applications) . November 1999 , Guangzhou. Studies in Advanced Mathematics , Vol. 25 , pp. 73 – 86 . Somerville, MA, , USA : International Press .
- Hadamard singular integral equations for the Stokes problems and Hermite wavelets (with Liangshun Zhu) . Acoustics Mechanics and the Related Topics of Mathematical Analysis, (Proceedings of the International Conference to Celebrate Robert P. Gilbert's 70th Birthday . June 2002 , CAES du CNRS, Frejus, France. pp. 272 – 281 . Singapore : World Scientific .
- 2002 . About some problems on wavelet regularity (with Xian Bo Zhou) . Acta Mathematica SINICA, Journal of The Chinese Mathematical Society , 45 ( 6 )
- 2003 . “ Bergman function and Dirichlet problem in Clifford analysis (with Tao, Jicheng) ” . In Progress in Analysis , Vol. I, II , 737 – 746 . River Edge, NJ : World Sci. Publishing . (Berlin, 2001)
- 2004 . The natural integral equations of the plane elasticity problem and its wavelet methods (with Youjian Shen) . Applied Mathematics and Computation , 150 ( 2 ) : 417 – 438 .
- 2004 . Sampling and reconstruction in time-warped spaces and their applications (with Xian, Jun) . Applied Mathematics and Computation , 157 ( 1 ) : 153 – 173 .
- 2004 . Non-uniform sampling in shift-invariant spaces (with Luo, Shi Ping) . Applied Mathematics. A Journal of Chinese Universities. Series A , 19 ( 1 ) : 62 – 74 .
- 2005 . A numerical method based on the generalized Shannon-Whittaker representation theorem for solving Helmholtz equation (with Song-hua Li) . Complex Variables , 50 ( 7–11 )
- 2006 . Othonormal polynomial wavelets on the interval (with Daoqing Dai) . Proceedings of AMS , 134 ( 5 ) : 1383 – 1390 .
- 2006 . Remarks on the Voronoi-method in Paley-Wiener Space (with Song-hua Li) . JMMA , 318 : 1 – 14 .
- 2006 . Weighted sampling and signal reconstructions in spline spaces (with Jun Xian) . IEEE SP , 86 ( 2 )