# zbMATH — the first resource for mathematics

## Quak, Ewald G.

Compute Distance To:
 Author ID: quak.ewald-g Published as: Quak, E.; Quak, E. G.; Quak, Ewald; Quak, Ewald G. External Links: MGP · Wikidata · dblp
 Documents Indexed: 43 Publications since 1985, including 5 Books Reviewing Activity: 102 Reviews
all top 5

#### Co-Authors

 10 single-authored 8 Prestin, Jurgen 6 Floater, Michael S. 6 Weyrich, Norman 3 Schumaker, Larry L. 2 Dechevsky, Lubomir T. 1 Bang, Børre 1 Bruaset, Are Magnus 1 Chui, Charles Kam-tai 1 Engelbrecht, Jüri 1 Grip, Niklas 1 Gundersen, Joakim 1 Hasle, Geir 1 Iske, Armin 1 Lakså, Arne 1 Langtangen, Hans Petter 1 Lie, Knut-Andreas 1 Lyche, Tom 1 Matter, Urs 1 Moguchaya, T. N. 1 Mørken, Knut M. 1 Rauhut, Holger 1 Reimers, Martin 1 Selig, Kathi K. 1 Sivakumar, N. R. 1 Soomere, Tarmo 1 Tong, Bin 1 Ward, Joseph Dinneen 1 Winther, Ragnar
all top 5

#### Serials

 2 Applied and Computational Harmonic Analysis 1 Analysis Mathematica 1 Mathematics of Computation 1 BIT 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 SIAM Journal on Numerical Analysis 1 Computer Aided Geometric Design 1 Approximation Theory and its Applications 1 Numerical Algorithms 1 Doklady Bolgarskoĭ Akademii Nauk 1 SIAM Journal on Mathematical Analysis 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 The Journal of Fourier Analysis and Applications 1 Lecture Notes in Computational Science and Engineering 1 Journal of Numerical Analysis and Approximation Theory
all top 5

#### Fields

 21 Numerical analysis (65-XX) 19 Approximations and expansions (41-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 7 Computer science (68-XX) 4 General and overarching topics; collections (00-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

31 Publications have been cited 248 times in 174 Documents Cited by Year
Wavelets on a bounded interval. Zbl 0815.42016
Chui, Charles K.; Quak, Ewald
1992
Decomposition and reconstruction algorithms for spline wavelets on a bounded interval. Zbl 0804.65143
Quak, Ewald; Weyrich, Norman
1994
Trigonometric wavelets for Hermite interpolation. Zbl 0873.42024
Quak, Ewald
1996
Theory and algorithms for nonuniform spline wavelets. Zbl 1005.42024
Lyche, T.; Mørken, K.; Quak, E.
2001
On the connection of uncertainty principles for functions on the circle and on the real line. Zbl 1042.42003
Prestin, Jürgen; Quak, Ewald; Rauhut, Holger; Selig, Kathi
2003
Optimal functions for a periodic uncertainty principle and multiresolution analysis. Zbl 0930.42019
Prestin, Jürgen; Quak, Ewald
1999
Cubic spline fitting using data dependent triangulations. Zbl 0725.65014
Quak, Ewald; Schumaker, Larry L.
1990
Linear independence and stability of piecewise linear prewavelets on arbitrary triangulations. Zbl 0965.42022
Floater, Michael S.; Quak, Ewald G.
2000
Piecewise linear prewavelets on arbitrary triangulations. Zbl 0931.42018
Floater, Michael S.; Quak, Ewald G.
1999
Trigonometric interpolation and wavelet decompositions. Zbl 0828.65149
Prestin, J.; Quak, E.
1995
Calculation of the energy of a piecewise polynomial surface. Zbl 0746.41012
Quak, E.; Schumaker, L. L.
1990
Tutorials on multiresolution in geometric modelling. European summer school lecture notes, Munich Univ. of Technology, Germany, August 22-30, 2001. Zbl 0989.00044
Iske, Armin (ed.); Quak, Ewald (ed.); Floater, Michael S. (ed.)
2002
Least squares fitting by linear splines on data dependent triangulations. Zbl 0733.41020
Quak, Ewald; Schumaker, L. L.
1991
A semi-prewavelet approach to piecewise linear prewavelets on triangulations. Zbl 0936.42021
Floater, Michael S.; Quak, Ewald G.
1998
Wavelets on the interval. Zbl 0922.42019
Quak, Ewald; Weyrich, Norman
1995
Least squares approximation by radial functions. Zbl 0781.41004
Quak, E.; Sivakumar, N.; Ward, J. D.
1993
On the Bramble-Hilbert lemma. Zbl 0733.46017
Dechevski, Lyubomir T.; Quak, Ewald
1990
Periodic and spline multiresolution analysis and the lifting scheme. Zbl 1065.65153
Prestin, Jürgen; Quak, Ewald
2005
Nonuniform $$B$$-splines and $$B$$-wavelets. Zbl 1004.65016
Quak, Ewald
2002
Filter bank algorithms for piecewise linear prewavelets on arbitrary triangulations. Zbl 0962.65120
Floater, Michael S.; Quak, Ewald G.; Reimers, Martin
2000
Decomposition and reconstruction algorithms for bivariate spline wavelets on the unit square. Zbl 0817.65150
Quak, E.; Weyrich, N.
1994
A duality principle for trigonometric wavelets. Zbl 0813.42018
Prestin, J.; Quak, E.
1994
Multivariate $$L_ p$$-error estimates for positive linear operators via the first-order $$\tau$$-modulus. Zbl 0673.41016
Quak, E.
1989
$$L_ p$$-error estimates for the approximation by positive linear operators. Zbl 0615.41018
Quak, Ewald
1986
Piecewise linear wavelets over type-2 triangulations. Zbl 0988.42021
Floater, M. S.; Quak, E. G.
2001
Algorithms for spline wavelet packets on an interval. Zbl 0872.65115
Quak, Ewald; Weyrich, Norman
1997
Algorithms for trigonometric wavelet packets. Zbl 0872.42011
Quak, Ewald; Weyrich, Norman
1997
Spline wavelet packets on an interval. Zbl 0929.65149
Quak, Ewald; Weyrich, Norman
1995
Time frequency localization of trigonometric Hermite operators. Zbl 0930.42018
Prestin, Jürgen; Quak, Ewald
1995
$$L_ p$$-error estimates for positive linear operators using the second- order $$\tau$$-modulus. Zbl 0696.41018
Quak, E.
1988
Uni- und Multivariate $$L_ p$$-Abschätzungen des Approximationsfehlers positiver linearer Operatoren mit Hilfe des $$\tau$$-Moduls. (Uni- and multivariate $$L_ p$$-estimates of the approximation error of positive linear operators by means of the $$\tau$$-module). Zbl 0585.41019
Quak, Ewald
1985
Periodic and spline multiresolution analysis and the lifting scheme. Zbl 1065.65153
Prestin, Jürgen; Quak, Ewald
2005
On the connection of uncertainty principles for functions on the circle and on the real line. Zbl 1042.42003
Prestin, Jürgen; Quak, Ewald; Rauhut, Holger; Selig, Kathi
2003
Tutorials on multiresolution in geometric modelling. European summer school lecture notes, Munich Univ. of Technology, Germany, August 22-30, 2001. Zbl 0989.00044
Iske, Armin (ed.); Quak, Ewald (ed.); Floater, Michael S. (ed.)
2002
Nonuniform $$B$$-splines and $$B$$-wavelets. Zbl 1004.65016
Quak, Ewald
2002
Theory and algorithms for nonuniform spline wavelets. Zbl 1005.42024
Lyche, T.; Mørken, K.; Quak, E.
2001
Piecewise linear wavelets over type-2 triangulations. Zbl 0988.42021
Floater, M. S.; Quak, E. G.
2001
Linear independence and stability of piecewise linear prewavelets on arbitrary triangulations. Zbl 0965.42022
Floater, Michael S.; Quak, Ewald G.
2000
Filter bank algorithms for piecewise linear prewavelets on arbitrary triangulations. Zbl 0962.65120
Floater, Michael S.; Quak, Ewald G.; Reimers, Martin
2000
Optimal functions for a periodic uncertainty principle and multiresolution analysis. Zbl 0930.42019
Prestin, Jürgen; Quak, Ewald
1999
Piecewise linear prewavelets on arbitrary triangulations. Zbl 0931.42018
Floater, Michael S.; Quak, Ewald G.
1999
A semi-prewavelet approach to piecewise linear prewavelets on triangulations. Zbl 0936.42021
Floater, Michael S.; Quak, Ewald G.
1998
Algorithms for spline wavelet packets on an interval. Zbl 0872.65115
Quak, Ewald; Weyrich, Norman
1997
Algorithms for trigonometric wavelet packets. Zbl 0872.42011
Quak, Ewald; Weyrich, Norman
1997
Trigonometric wavelets for Hermite interpolation. Zbl 0873.42024
Quak, Ewald
1996
Trigonometric interpolation and wavelet decompositions. Zbl 0828.65149
Prestin, J.; Quak, E.
1995
Wavelets on the interval. Zbl 0922.42019
Quak, Ewald; Weyrich, Norman
1995
Spline wavelet packets on an interval. Zbl 0929.65149
Quak, Ewald; Weyrich, Norman
1995
Time frequency localization of trigonometric Hermite operators. Zbl 0930.42018
Prestin, Jürgen; Quak, Ewald
1995
Decomposition and reconstruction algorithms for spline wavelets on a bounded interval. Zbl 0804.65143
Quak, Ewald; Weyrich, Norman
1994
Decomposition and reconstruction algorithms for bivariate spline wavelets on the unit square. Zbl 0817.65150
Quak, E.; Weyrich, N.
1994
A duality principle for trigonometric wavelets. Zbl 0813.42018
Prestin, J.; Quak, E.
1994
Least squares approximation by radial functions. Zbl 0781.41004
Quak, E.; Sivakumar, N.; Ward, J. D.
1993
Wavelets on a bounded interval. Zbl 0815.42016
Chui, Charles K.; Quak, Ewald
1992
Least squares fitting by linear splines on data dependent triangulations. Zbl 0733.41020
Quak, Ewald; Schumaker, L. L.
1991
Cubic spline fitting using data dependent triangulations. Zbl 0725.65014
Quak, Ewald; Schumaker, Larry L.
1990
Calculation of the energy of a piecewise polynomial surface. Zbl 0746.41012
Quak, E.; Schumaker, L. L.
1990
On the Bramble-Hilbert lemma. Zbl 0733.46017
Dechevski, Lyubomir T.; Quak, Ewald
1990
Multivariate $$L_ p$$-error estimates for positive linear operators via the first-order $$\tau$$-modulus. Zbl 0673.41016
Quak, E.
1989
$$L_ p$$-error estimates for positive linear operators using the second- order $$\tau$$-modulus. Zbl 0696.41018
Quak, E.
1988
$$L_ p$$-error estimates for the approximation by positive linear operators. Zbl 0615.41018
Quak, Ewald
1986
Uni- und Multivariate $$L_ p$$-Abschätzungen des Approximationsfehlers positiver linearer Operatoren mit Hilfe des $$\tau$$-Moduls. (Uni- and multivariate $$L_ p$$-estimates of the approximation error of positive linear operators by means of the $$\tau$$-module). Zbl 0585.41019
Quak, Ewald
1985
all top 5

#### Cited by 262 Authors

 6 Černá, Dana 6 Chen, Xuefeng 6 Li, Songhua 6 Prestin, Jurgen 6 Quak, Ewald G. 6 Schumaker, Larry L. 6 Xiang, Jiawei 5 Dahmen, Wolfgang A. 5 Finěk, Václav 5 Lebedeva, Elena A. 4 Lakestani, Mehrdad 3 Chen, Wensheng 3 Dang, Pei 3 He, Zhengjia 3 Jia, Rongqing 3 Lin, Wei 3 Liu, Songtao 3 Roşca, Daniela 3 Stevenson, Rob P. 3 Sun, Mingbao 3 Urban, Karsten 3 Wang, Aizeng 3 Zhao, Gang 2 Bittner, Kai 2 Chui, Charles Kam-tai 2 Cooke, Charlie H. 2 Erb, Wolfgang 2 Goh, Say Song 2 Goodman, Timothy N. T. 2 Hong, Don 2 Jokar, Mahmood 2 Krivoshein, Aleksandr Vladimirovich 2 Kunoth, Angela 2 Langemann, Dirk 2 Maleknejad, Khosrow 2 Manni, Carla 2 Rathsfeld, Andreas 2 Rehan, Kashif 2 Rippa, Shmuel 2 Sha, O. P. 2 Sharma, Rajeev 2 Siddiqi, Shahid Saeed 2 Xian, Jun 2 Yang, Sang Kyu 1 Abe, Kazuhisa 1 Aimi, Alessandra 1 Alboul, Lyuba S. 1 Alfeld, Peter 1 Altomare, Francesco 1 Altürk, Ahmet 1 Amati, Giancarlo 1 Ameur, El Bachir 1 Andrle, Miroslav 1 Arun, C. O. 1 Ashpazzadeh, Elmira 1 Babaaghaie, A. 1 Barbotin, Yann 1 Berriochoa, Elías 1 Bini, Dario Andrea 1 Bosworth, Ken W. 1 Bowman, Christopher S. 1 Brachtendorf, Hans Georg 1 Brown, Joshua L. 1 Cachafeiro, Alicia 1 Cant, Stewart 1 Cao, Jiansheng 1 Capobianco, Maria Rosaria 1 Cappelletti Montano, Mirella 1 Chen, Jiann-Liang 1 Chen, Qiuhui 1 Chen, Xiaofei 1 Chen, Zengqiang 1 Cheng, Chichyang 1 Chuang, Zhi-Tao 1 Cohen, Albert 1 Costantini, Paolo Giuseppe 1 Dæhlen, Morten 1 de la Llave Plata, Marta 1 De Marchi, Stefano 1 De Rossi, Alessandra 1 De Villiers, Johan Marthinus 1 Dehghan Takht Fooladi, Mehdi 1 Dekel, Shai 1 Deng, Weihua 1 Depczynski, Uwe 1 DeVore, Ronald A. 1 Diligenti, Mauro 1 Dong, Hongbin 1 Dong, Na 1 Du, Qikui 1 Duan, Jiwei 1 Durán, Ricardo G. 1 Dyn, Nira 1 Endrődi, Gergely 1 Esmaeilbeigi, Mohsen 1 Fang, Bin 1 Fasshauer, Gregory E. 1 Fernández-Bertolin, Aingeru 1 Floater, Michael S. 1 Gabutti, Bruno ...and 162 more Authors
all top 5

#### Cited in 55 Serials

 20 Journal of Computational and Applied Mathematics 17 Applied and Computational Harmonic Analysis 14 Applied Mathematics and Computation 14 Computer Aided Geometric Design 10 Advances in Computational Mathematics 8 Mathematics of Computation 8 International Journal of Wavelets, Multiresolution and Information Processing 5 Computers & Mathematics with Applications 5 Numerical Algorithms 4 Applicable Analysis 4 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 Journal of Approximation Theory 3 Results in Mathematics 3 Applied Numerical Mathematics 3 Computational Mechanics 3 Applied Mathematical Modelling 3 Mathematical Problems in Engineering 2 Journal of Computational Physics 2 Computing 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of Integral Equations and Applications 2 Journal of Mathematical Sciences (New York) 2 The Journal of Fourier Analysis and Applications 2 Engineering Computations 1 Analysis Mathematica 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 International Journal of Solids and Structures 1 BIT 1 Calcolo 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Constructive Approximation 1 Statistical Science 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Multidimensional Systems and Signal Processing 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Computational Statistics and Data Analysis 1 Advances in Engineering Software 1 SIAM Journal on Scientific Computing 1 Applied Mathematics. Series B (English Edition) 1 Computational and Applied Mathematics 1 Advances in Applied Clifford Algebras 1 Engineering Analysis with Boundary Elements 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Mathematical Inequalities & Applications 1 Advances in Pure and Applied Mathematics 1 International Journal of Structural Stability and Dynamics
all top 5

#### Cited in 28 Fields

 120 Numerical analysis (65-XX) 60 Harmonic analysis on Euclidean spaces (42-XX) 44 Approximations and expansions (41-XX) 26 Partial differential equations (35-XX) 11 Mechanics of deformable solids (74-XX) 10 Information and communication theory, circuits (94-XX) 7 Integral equations (45-XX) 7 Functional analysis (46-XX) 5 Ordinary differential equations (34-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 2 Optics, electromagnetic theory (78-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)