List of publications

[ 1] A. Cohen, O. Kaber, and M. Postel. Toward fully adaptive multiresolution finite volume schemes for conservation laws. Technical report, Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, 2000.

[ 2] S. Amat, F. Arandiga, A. Cohen, R. Donat, G. Garcia, and M. V. Oehsen. Data compression with ENO schemes. Technical report 99-03, University of Valencia, 1999.

[ 3] S. Amat, P. Arandiga, A. Cohen, and R. Donat. Tensor product nonlinear multiresolution with error control. Technical report 99-04, University of Valencia, 1999.

[ 4] F. Arandiga and R. Donat. Building adaptive multiresolution schemes within Harten's framework. To appear in Proceedings of 'Curves and Surfaces Fitting', St. Malo, June 1999.

[ 5] S. M. B. Gottschlich-Müler. Adaptive finite volume schemes for conservation laws based on local multiresolution techniques. In R. Jeltsch, editor, Proceedings of the 7th International Conference on Hyperbolic Problems, 9.-13.,1998, Zurich . Birkhäuser-Verlag. In press.

[ 6] S. M. B. Gottschlich-Müler. Application of multiscale techniques to hyperbolic conservation laws. In Z. Chen, Y. Li, C. Michelli, and Y. Xu, editors, Lecture Notes in Pure and Applied Mathematics, Advances in Computational Mathematics (Proceedings of the Guangzhou International Symposium) , vol. 202, pages 113-138. New York, 1998.

[ 7] A. Barinka, T. Barsch, P. Charton, A. Cohen, S. Dahlke, W. Dahmen, and K. Urban. Adaptive wavelet schemes for elliptic problems - implementation and numerical experiments. Technical report 173, IGPM, RWTH Aachen, 1999.

[ 8] A. Barinka, T. Barsch, S. Dahlke, and M. Konik. Some remarks on quadrature formulas for refinable functions and wavelets. Technical report SFB/98-31, TU Chemnitz, 1999.

[ 9] T. Barsch, A. Kunoth, and K. Urban. Towards object oriented software tools for numerical multiscale methods for PDEs using wavelets. In W. Dahmen, A. Kurdilla, and P. Oswald, editors, Multiscale Methods for Partial Differential Equations , pages 383-412. Academic Press, 1997.

[ 10] S. Berrone and K. Urban. Adaptive wavelet Galerkin methods on distorted domains: Setup of the algebraic system. In A. L. Mehaute, C. Rabut, and L. Schumaker, editors, Curves and Surfaces IV , pages 65-74. Vanderbilt University Press, 2000.

[ 11] S. Bertoluzza. Wavelets for the numerical solution of the Stokes equation. In Proc. of IMACS '97 World Conference, Berlin, August 24-29, 1997 . 1997.

[ 12] S. Bertoluzza. Stabilization by multiscale decomposition. Appl. Math. Lett. , 11(6):129-134, 1998.

[ 13] S. Bertoluzza. Wavelet stabilization of the Lagrange multiplier method. Technical report 1104, Istituto di Analisi Numerica del C.N.R. Pavia, 1998.

[ 14] S. Bertoluzza, C. Canuto, and A. Tabacco. Stable discretization of convection-diffusion problems via computable negative order inner products. Technical report 1154, I.A.N., 1999. To appear in SIAM Jour. Numer. Anal.

[ 15] S. Bertoluzza, C. Canuto, and A. Tabacco. Negative norm stabilization of convection-diffusion problems. Appl. Math. Lett. , 13:121-127, 2000.

[ 16] S. Bertoluzza, C. Canuto, and K. Urban. On the adaptive computation of integrals of wavelets. Technical report 1129, Istituto di Analisi Numerica del C.N.R. Pavia, 1999. To appear in Appl. Numer. Math.

[ 17] S. Bertoluzza and A. Kunoth. Wavelet stabilization and preconditioning for domain decomposition. Technical report 1127, Istituto di Analisi Numerica del C.N.R. Pavia, 1999. To appear in IMA Jour. Numer. Anal.

[ 18] S. Bertoluzza and V. Perrier. The mortar method in the wavelet context. Technical report 99-17, LAGA, 1999.

[ 19] S. Bertoluzza and V. Perrier. The mortar wavelet method. Technical report 99-17, Istituto di Analisi Numerica del C.N.R. Pavia, 1999. To appear in Proc. ENUMATH 99.

[ 20] S. Bertoluzza and P. Pietra. Adaptive wavelet collocation for nonlinear BVP's. In Proc. of ICAOS '96 , Lecture Notes in Control and Information Sciences. Springer Verlag, London, 1996.

[ 21] S. Bertoluzza and P. Pietra. Space frequency adaptive approximation for quantum hydrodynamic models. Transport Theory and Stat. Phys. , 1999. To appear.

[ 22] H. Bockhorn, Frö, W. Gerlinger, and K. Schneider. Numerical investigations on the stability of flame balls. In Scientific Computing in Chemical Engineering I , pages 102-109. Springer Verlag, 1999.

[ 23] H. Bockhorn, J. Fröhlich, W. Gerlinger, and K. Schneider. Numerical investigations on the stability of flame balls. In ECCOMAS98: Proceedings of Fourth ECCOMAS Computational Fluid Dynamics Conference , pages 990-995. John Wiley and Sons, 1998.

[ 24] H. Bockhorn, J. Fröhlich, and K. Schneider. Numerical simulation of two-dimensional flame balls in an adaptive wavelet basis. In Proceedings of the SIAM Seventh International Conference on Numerical Combustion, 30.3.-1.4.1998, St John's College, York (UK) .

[ 25] H. Bockhorn, J. Fröhlich, and K. Schneider. An adaptive two-dimensional wavelet-vaguelette algorithm for the computation of flame balls. Combust. Theory and Modelling , 31:1-22, 1999.

[ 26] H. Bockhorn, W. Gerlinger, K. Schneider, and J. Ziuber. Simulation and analysis of mixing in two-dimensional turbulent flows using Fourier and wavelet techniques. In Scientific Computing in Chemical Engineering I , pages 344-351. Springer Verlag, 1999.

[ 27] C. Bourgeois. Two boundary element methods for the clamped plate. Technical report SFB 393/00-15, TU-Chemnitz, 2000.

[ 28] C. Bourgeois and R. Schneider. Biorthogonal wavelets for the direct integral formulation of the heat equation. Technical report SFB 393/00-14, TU-Chemnitz, 2000.

[ 29] D. Braess and W. Dahmen. Stability estimate of the mortar finite element method for 3-dimensional problems. East-West Jour. Numerical Math. , 6:249-264, 1998.

[ 30] D. Braess, W. Dahmen, and C. Wieners. A multigrid algorithm for the mortar finite element method. SIAM J. Numer. Anal. , 37:48-69, 1999.

[ 31] C. Canuto. Multilevel stabilization devices in CFD. Technical report 99-01, Dipartimento di Matematica, Politecnico di Torino, 2000.

[ 32] C. Canuto and R. Masson. Stabilized wavelet approximations of the Stokes problem. Technical report 99-23, Dipartimento di Matematica, Politecnico di Torino, 1999.

[ 33] C. Canuto, A. Tabacco, and K. Urban. Numerical solution of elliptic problems by the wavelet element method. In H. B. et al., editor, ENUMATH 97 , pages 17-37. World Scientific, 1998.

[ 34] C. Canuto, A. Tabacco, and K. Urban. The wavelet element method, part i: Construction and analysis. Appl. Comp. Harm. Anal. , 6:1-52, 1999.

[ 35] C. Canuto, A. Tabacco, and K. Urban. The wavelet element method, part ii: Realization and additional features in 2D and 3D. Appl. Comp. Harm. Anal. , 8:123-165, 2000.

[ 36] O. G. Catalàn. Oversampling and preservation of tightness of frames. Technical report, Department of Mathematics, University of Zaragozza, 1999.

[ 37] G. Chiavassa. Algorithmes adaptatifs en ondelettes pour la résolution d'equations aux dérivées partielles . Thèse de doctorat, Université de la Méditerranée Aix-Marseille II

[ 38] G. Chiavassa and R. Donat. Multilevel schemes for 2D Riemann problems. Submitted to Proceedings of the Eighth International Conference on Hyperbolic Problems, Magdeburg, Feb. 2000.

[ 39] G. Chiavassa and R. Donat. Numerical experiments with multilevel schemes for conservation laws. Submitted to Proceedings of International Conference on Godunov's Methods: Theory and Applications, Oxford, Oct. 99.

[ 40] G. Chiavassa and R. Donat. Numerical experiments with point value multiresolution for 2D compressible flows. Technical report 99-02, GrAN, University of Valencia, 1999.

[ 41] G. Chiavassa, R. Donat, and A. Marquina. A wavelet algorithm for 2D conservations laws. Submitted to Proceedings of Conference R. Temam, Equations aux derivées partielles non-linéaires: Applications à la mécanique des fluides et à la météorologie, Poitiers, March. 2000.

[ 42] G. Chiavassa and J. Liandrat. Fully adaptive wavelet algorithm for parabolic partial differential equations. To appear in: Applied Numerical Mathematics, 2000.

[ 43] A. Cohen, W. Dahmen, I. Daubechies, and R. DeVore. Tree approximation and optimal encoding. Technical report, IGPM, RWTH Aachen, 1999.

[ 44] A. Cohen, W. Dahmen, and R. D. Vore. Adaptive wavelet methods for elliptic operator equations - convergence rates. Technical report, IGPM - RWTH-Aachen, 1998. To appear in Math. Comp.

[ 45] A. Cohen, O. Kaber, and M. Postel. Multiresolution analysis on triangles: application to conservation laws. In Finite Volumes for Complex Applications II . 1999.

[ 46] A. Cohen and R. Masson. Wavelet adaptive methods for 2nd order elliptic problems. Technical report 97-036, Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, 1997.

[ 47] A. Cohen and R. Masson. Wavelet adaptive methods for 2nd order ellipic problems, domain decomposition and boundary conditions. Technical report, Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, 1998. To appear in Numer. Math.

[ 48] A. Cohen, Q. Sun, and L.-M. Echeverry. Finite element wavelets. Technical report, Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, 2000.

[ 49] S. Dahlke. Besov regularity for elliptic boundary value problems with variable coefficients. Manuscripta Mathematica , 95:59-77, 1998.

[ 50] S. Dahlke. Besov regularity for elliptic boundary value problems in polygonal domains. Appl. Math. Lett. , 12:31-38, 1999.

[ 51] S. Dahlke. Besov regularity for interface problems. Zeitschrift für Angewandte Mathematik und Mechanik , 79, 1999.

[ 52] S. Dahlke. Besov regularity for the Stokes problem. In W. Haußmann, K. Jetter, and M. Reimer, editors, Advances in Multivariate Approximation , vol. 107 of Mathematical Research . 1999.

[ 53] S. Dahlke, R. Hochmuth, and K. Urban. Adaptive wavelet methods for saddle point problems. Technical report 1126, Istituto di Analisi Numerica del C.N.R. Pavia, 1999.

[ 54] S. Dahlke, R. Hochmuth, and K. Urban. Convergent adaptive wavelet methods for the Stokes problem, 1999. To appear in European Multigrid.

[ 55] S. Dahlke and A. Kunoth. Wavelet characterizations of function spaces on skeletons. In Proceedings of the International Wavelets Conference ``Wavelets and Multiscale Methods'', Tanger, Marokko, April 13-17 . INRIA, 1998.

[ 56] W. Dahmen. Wavelet methods for PDEs - some recent developments. Technical report 183, IGPM, RWTH Aachen, 1999.

[ 57] W. Dahmen, B. Gottschlich-Müler, and S. Müler. Multiresolution schemes for conservation laws. Technical report 159, IGPM, RWTH Aachen, 1998. To appear in Numer. Math.

[ 58] W. Dahmen and A. Kunoth. Appending boundary conditions by Lagrange multipliers: General criteria for the LBB condition. Technical report, IGPM, RWTH Aachen, 1998. To appear in Numer. Math.

[ 59] W. Dahmen, A. Kunoth, and R. Schneider. Wavelet least square methods for boundary value problems. Technical report SFB393/99-34, TU Chemnitz, 1999.

[ 60] W. Dahmen, S. Müler, and T. Schlinkmann. Multigrid and multiscale decomposition. In M. Griebel, O. Iliev, S. Margenov, and P. Vassilevski, editors, Large Scale Scientific Computations of Engineering and Environmental Problem , vol. 62 of Notes on Numerical Fluid Mechanics , pages 18-41. Vieweg, 1998.

[ 61] W. Dahmen, S. Müler, and T. Schlinkmann. On a robust adaptive multigrid solver for convection-dominated problem. Technical report 171, IGPM, RWTH Aachen, 1999.

[ 62] W. Dahmen and R. Schneider. Wavelets with complementary boundary conditions - function spaces on the cube. Result. Math. , 34:255-293, 1998.

[ 63] W. Dahmen and R. Schneider. Composite wavelet bases for operator equations. Math. Comput. , 68:1533-1567, 1999.

[ 64] W. Dahmen and R. Schneider. Wavelets on manifolds i: Construction and domain decomposition. SIAM J. Math. Anal. , 31:184-230, 1999.

[ 65] W. Dahmen, R. Schneider, and Y. Xu. Nonlinear functionals of wavelet expansions - adaptive reconstruction and fast evaluation. Technical report 160, IGPM, RWTH Aachen, 1998.

[ 66] W. Dahmen and R. Stevenson. Element-by element construction of wavelets satisfying stability and moment conditions. SIAM J. Numer. Anal. , 37:319-352, 1999.

[ 67] M. Farge, N. Kevlahan, C. Bardos, and K. Schneider. Combining deterministic and statistical approaches to compute two-dimensional turbulent flows with walls. In A. Gyr, W. Kinzelbach, and A. Tsinober, editors, Fundamental Problematic Issues in Turbulence , pages 163-174. Birkhäuser, 1999.

[ 68] M. Farge, N. Kevlahan, V. Perrier, and K. Schneider. Turbulence analysis, modelling and computing using wavelets. In J. van den Berg, editor, Wavelets and Physics , pages 117-200. Cambridge University Press, 1999.

[ 69] M. Farge, K. Schneider, and N. Kevlahan. Coherent structure eduction in wavelet-forced two-dimensional turbulent flows. In E. Krause and K. Gersten, editors, IUTAM Symposium on Dynamics of slender vortices , pages 65-83. Kluwer Academic Publishers, 1998.

[ 70] M. Farge, K. Schneider, and G. Pellegrino. Vortex tube extraction in three-dimensional turbulence using orthogonal wavelets. In 8th European Turbulence Conference . Kluwer Academic Publishers, 2000. In press.

[ 71] J. Frö and K. Schneider. An adaptive wavelet-vaguelette algorithm for the solution of PDEs. J. Comput. Phys. , 130:172-190, 1997.

[ 72] J. Fröhlich and K. Schneider. Computation of decaying turbulence in an adaptive wavelet basis. Physica D , 34:337-361, 1999.

[ 73] G. Garrigos and A. Tabacco. Finite element wavelets. Technical report 99-27, Dipartimento di Matematica, Politecnico di Torino, 1999.

[ 74] W. Gerlinger, H. Bockhorn, L. Falk, and K. Schneider. Numerical simulation of the mixing of passive and reactive scalars in two-dimensional flows dominated by coherent vortices. To appear in Chem. Eng. Sci.

[ 75] W. Gerlinger, K. Schneider, and H. Bockhorn. Numerical simulation of three-dimensional instabilities of spherical flame structures. Accepted at the 28th (International) Symposium on Combustion, University of Edinburgh, Scotland.

[ 76] B. Gottschlich-Müler and S. Müler. On multi-scale concepts for multi-dimensional conservation laws. In H. W. and G. Wittum, editors, Proceedings of 13th GAMM-Seminar Kiel on Numerical Treatment of Multi-Scale Problems, 24.-26.,1.,1997 . Vieweg-Verlag. To appear.

[ 77] M. Guichaoua and J. Liandrat. Analyses multirésolution biorthogonales de type ENO pour la résolution de lois de conservation hyperboliques. In Proceeding of 31 Congrès International d'Analyse Numérique, Aix-les-Thermes, 1999 .

[ 78] M. Guichaoua and J. Liandrat. Biorthogonal functions connected to Harten's multiscale analysis. Submitted.

[ 79] M. Guichaoua and J. Liandrat. Adapted approximation of differential operators in wavelet bases. In Proceeding of the International Wavelet Conference . 1998.

[ 80] M. Guichaoua and J. Liandrat. Biorthogonal wavelets and approximations of operators. In Proceeding of the GAMM 1999 (Metz) . 1999.

[ 81] Harbrecht, F. Paiva, C. Pérez, and R. Schneider. Biorthogonal wavelet approximation for the coupling of FEM-BEM. Technical report SFB 393/99-32, TU Chemnitz, 1999.

[ 82] Harbrecht, F. Paiva, C. Pérez, and R. Schneider. Multiscale preconditioning for the coupling of FEM - BEM. Technical report SFB 393/00-07, TU Chemnitz, 2000.

[ 83] A. Harten. Multiresolution representation of data: a general framework. SIAM J. Numer. Anal. , 33:1205-1256, 1996.

[ 84] P. Joly and R. Masson. Résolution du problème de Stokes en formulation v-w par bases d'ondelettes. IIIeme séminaire sur l'algorithmique numérique appliquée aux problèmes industriels, IRISA Rennes (Mars 1999).

[ 85] P. Joly and R. Masson. Wavelet preconditioning of the Stokes problem in v - w formulation. Technical report, Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, 1999. To appear in Numerical Algorithms.

[ 86] M. Konik and R. Schneider. Object-oriented implementation of multiscale methods for boundary integral equations. Technical report, TU Chemnitz, 1998.

[ 87] F. Koster, M. Griebel, N. Kevlahan, M. Farge, and K. Schneider. Towards an adaptive wavelet based 3D Navier-Stokes solver. In E. H. Hirschel, editor, Notes on Numerical Fluid Mechanics , pages 339-364. 1998.

[ 88] C. Lage and C. Schwab. Wavelet Galerkin algorithms for boundary integral equations. SIAM J. Scient. Stat. Computing , 20:2195-2222, 1998.

[ 89] C. Lage and C. Schwab. A wavelet-Galerkin boundary element method on polyhedral surfaces in R³. Lecture Notes in Numerical Fluid Mechanics , 55, 1998.

[ 90] J. Liandrat. An introduction to wavelets for numerical approximation of PDEs. In Lecture Notes of IMAMM99 , Publication of the University of West Bohemia in Pilsen. 2000.

[ 91] M. Farge and N. Kevlahan. Non-gaussianity and coherent vortex simulation for two-dimensional turbulence using an orthonormal wavelet basis. Phys. Fluids , 11:2187-2201, 1999.

[ 92] R. Masson. Wavelet discretizations of the Stokes problem in velocity-pressure variables. Technical report, Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, 1998.

[ 93] R. Masson. Méthodes d'ondelettes en simulation numérique pour les problèmes elliptiques et de point-selle . Thèse de doctorat, Université Pierre et Marie Curie, 1999.

[ 94] G. Naldi, K. Urban, and P. Venini. A wavelet-Galerkin method for elastoplasticity problems. Technical report 181, IGPM, RWTH Aachen, 1999.

[ 95] C. Pérez and R. Schneider. Wavelet Galerkin methods for boundary integral equations and the coupling with finite element methods. Technical report SFB 393/99-33, TU Chemnitz, 1999.

[ 96] V. Perrier and M. Wickerhauser. Multiplication of short wavelet series using connection coefficients. In Advances in wavelets .

[ 97] B. Protas, K. Schneider, and M. Farge. Alignment properties in wavelet filtered two-dimensional forced turbulence. In 8th European Turbulence Conference . Kluwer Academic Publishers. In press.

[ 98] A. Rathsfeld and R. Schneider. On a quadrature algorithm for the piecewise linear collocation applied to boundary integral equations. Technical report SFB393/00-15, TU Chemnitz, 2000.

[ 99] K. Schneider and M. Farge. Computing and analysing turbulent flows using wavelets. In L. Debnath, editor, Wavelet Analysis as a Tool for Computational and Harmonic Analysis . Birkhäuser. In press.

[ 100] K. Schneider and M. Farge. Numerical simulation of a mixing layer in an adaptive wavelet basis. C. R. Acad. Sci. Paris Série II . To appear.

[ 101] K. Schneider and M. Farge. Wavelet forcing for numerical simulation of two-dimensional turbulence. C. R. Acad. Sci. Paris Série II , 325:263-270, 1997.

[ 102] K. Schneider and M. Farge. Wavelet approach for modelling and computing turbulence . Lecture Series 1998-05 Advances in turbulence modelling. von Karman Institute for Fluid Dynamics, 1998.

[ 103] K. Schneider and M. Farge. Numerical simulation of forced two-dimensional turbulence using wavelets. In S. Banerjee and J. Eaton, editors, Proceedings of Turbulence and Shear Flow Phenomena , pages 493-498. Begell House Inc., 1999.

[ 104] K. Schneider and M. Farge. Coherent vortex simulation (cvs) of a two-dimensional mixing layer. In 8th European Turbulence Conference . Kluwer, 2000. In press.

[ 105] K. Schneider, M. Farge, and N. Kevlahan. Intermittency and coherent vortices in fully-developed two-dimensional turbulence. Technical report, ICT, Universität Karlsruhe, 1999.

[ 106] K. Schneider, N. Kevlahan, and M. Farge. Comparison of an adaptive wavelet method and nonlinearly filtered pseudo-spectral methods for two-dimensional turbulence. Theoret. Comput. Fluid Dynamics , 9:191-206, 1997.

[ 107] K. Schneider, N. Kevlahan, and M. Farge. An adaptive wavelet method compared to nonlinearly filtered pseudo-spectral methods for two-dimensional turbulence. In U. Frisch, editor, Advances in Turbulence VII , pages 147-150. Kluwer Academic Publishers, 1998.

[ 108] S. G. Talocia and A. Tabacco. Wavelets on the interval with optimal localization. Technical report 98-42, Dipartimento di Matematica, Politecnico di Torino, 1998. To appear in Math. Models Meth. Appl. Sci.

[ 109] K. Urban. Wavelet bases in H(div) and H(curl). Technical report 1106, Istituto di Analisi Numerica del C.N.R. Pavia, 1998. To appear in Math. Comp.