Kai Schneider

Professeur à l'Université de Provence

	Centre de Mathématiques et d'Informatique Université de Provence (Aix-Marseille I) 39, rue F. Joliot-Curie F-13453 Marseille - Cedex 13 FRANCE	Tel: +33 (0) 4 91 11 85 29  Fax: + 33 (0) 4 91 11 35 02

e-mail : kschneid@cmi.univ-mrs.fr

Short CV

Wavelets and turbulence team

ESA Topical Team:
Experimental and numerical studies of instabilities in lean gas phase combustion under microgravity conditions

ANR Program : M2TFP

Multiscale methods for analysing and computing fluid and plasma turbulence :

Applications to magnetically confined plasmas in fusion devices.

Teaching

• Mathematics, Complex Analysis (Licence de Mécanique)

• Mathematical Fluid Mechanics (Maîtrise d'Ingenierie Mathématiques)

• Signal and Image Processing (Maîtrise d'Ingenierie Mathématiques)

• Computational Fluid Dynamics (DEA de Mathématiques Appliquées)

PhD and Diploma Subjets 

• Sujet de DEA

• Sujets de Thèse

Research Interests

• Scientific computing

• Multiscale methods for PDEs, adaptivity

• Navier-Stokes equations, reactive flows

• Turbulence

• Wavelets

• Wavelets in statistics

• Member of the EU-TMR-project Wavelets in Numerical Simulation

Publications

2007

• W. J. T. Bos, L. Liechtenstein and K. Schneider.

  Small scale intermittency in anisotropic turbulence.

  Phys. Rev. E, 76, 046310, 2007. PDF-File.

• G.H. Keetels, U. d'Ortona, W. Kramer, H.J.H. Clercx, K. Schneider and G.J.F. van Heijst.

  Fourier spectral and wavelet solvers for the incompressible Navier-Stokes equations with volume penalization: convergence of a dipole-wall collision.

  J. Comput. Phys., 227, 919-945, 2007. 

   

• N. Okamoto, K. Yoshimatsu, K. Schneider, M. Farge and Y. Kaneda.

  Coherent vortices in high resolution direct numerical simulation of homogeneous isotropic turbulence : A wavelet viewpoint.

  Phys. Fluids, 19, 115109, 1-13, 2007.

• S. Gassama, E. Sonnendrucker, K. Schneider, M. Farge and M. Domingues.

  Wavelet denoising for postprocessing of a 2D Particle - In - Cell code.

  ESAIM: Proceedings, Vol. 16, 195-210, 2007. PDF-File. 

   

• M. Domingues, O. Roussel and K. Schneider.

  On space-time adaptive schemes for the numerical solution of partial differential equations.

  ESAIM: Proceedings, Vol. 16, 181-194, 2007. PDF-File. 

   

• M. Domingues, I. Broemstrup, K. Schneider, M. Farge and B. Kadoch.

  Coherent vortex extraction in 3D homogeneous isotropic turbulence using orthogonal wavelets.

  ESAIM: Proceedings, Vol. 16, 164-180, 2007. PDF-File 

   

• E. Deriaz, M. Domingues, V. Perrier, K. Schneider and M. Farge. Divergence-free wavelets for coherent vortex extraction in 3D homogeneous isotropic turbulence.

  ESAIM: Proceedings, Vol. 16, 146-163, 2007. PDF-File.

   

• M. Farge, J. Lewalle and K. Schneider.

  Wavelet transforms. Section D.6.1. Handbook of Experimental Fluid Mechanics, (Eds. C. Tropea, A. Yarin and J.F. Foss), Springer, 1378-1395, 2007.

• K. Schneider and M. Farge.

  On decaying two-dimensional turbulence in a circular container. Frontiers of Computational Science, (Eds. Y. Kaneda, H. Kawamura and M. Sasai), Springer, 89-95, 2007.

   

• O. Roussel and K. Schneider.

  Coherent Vortex Simulation (CVS) of turbulent compressible mixing layers using adaptive multiresolution methods.

  Advances in Turbulence 11, Eds. J. M. L. M. Palma and A. Silva Lopez, Springer, 741, 2007.

   

• L. Liechtenstein, W.J.T. Bos and K. Schneider. 

  Quantifying anisotropy in stratied and rotating turbulence using orthogonal wavelets.

  Advances in Turbulence 11, Eds. J. M. L. M. Palma and

  A. Silva Lopez, Springer, 770, 2007. 

• K. Schneider and M. Farge.

  Final states of decaying 2D turbulence in different geometries with no-slip walls.

  Advances in Turbulence 11, Eds. J. M. L. M. Palma and A. Silva Lopez, Springer,

  147-149, 2007.

2006

• K. Schneider, M. Farge, A. Azzalini and J. Zuiber.

  Coherent vortex extraction and simulation of 2D isotropic turbulence.

  Journal of Turbulence, 7, (44), 1-24, 2006. PDF-File

• T. Weller, K. Schneider, M. Oberlack and M. Farge.

  DNS and wavelet analysis of a turbulent channel flow rotating about the streamwise direction.

  Turbulence, Heat and Mass Transfer5, (Eds. K. Hanjalic, Y. Nagano and S. Jarkirlic), vol 1, 163-166, 2006.

•  Foreword for the spetial issue on 'Large Eddy Simulation, Coherent Vortex Simulation & Vortex Methods'

  dedicated to the memory of Joel Ferziger.

  Journal of Turbulence, Volume7, N°42, 2006. PDF-File  

   

• O. Roussel and K. Schneider.
  Numerical studies of spherical flame structures interacting with adiabatic walls using an adaptive multiresolution scheme.
  Combust. Theory Modelling, 10(2), 273-288, 2006, PDF-File
   

• O. Roussel and K. Schneider.
  Adaptive numerical simulation of pulsating planar flames for large Lewis and Zeldovich ranges.
  Comm. Nonlin. Sci. Num. Sim., 11, 463-480, 2006,  PDF file
   

• K. Schneider and M. Farge

  Wavelets : Theory

  In Encyclopedia of Mathematical Physics (Eds. J.P. Françoise, G. Naber and T.S. Tsun), Elsevier,

  426-438, 2006.

   

• M. Farge and K. Schneider.

  Wavelets in turbulence.

  In Encyclopedia of Mathematical Physics (Eds. J.P. Françoise, G. Naber and T.S. Tsun), Elsevier,

  408-420, 2006.

   

• M. Farge, K. Schneider and P. Devynck.

  Extraction of coherent bursts from in turbulent edge plasma
  in magnetic fusion devices using orthogonal wavelets.

  Physics of Plasmas, 13(4), 042304, 2006. PDF-File

   

 2005

• K.Schneider and M. Farge
  Decaying two-dimensional turbulence in a circular container.
  Physical Review Letters, 95, 244502, 2005. PDF-File
   

• K. Schneider et al.
  Instabilities in Lean gas-phase combustion
  In SP-1281 Topical Teams in Life & Physical Sciences :
  Towards New Research Applications in Space, Ed. A. Wilson.
  European Space Agency, pp. 108-113, 2005. PDF-File
   

• K. Schneider.
  Numerical simulation of the transient flow behaviour in chemical reactors using a penalisation method.
  Computers & Fluids, 34, 1223-1238, 2005.
   

• K. Schneider, M. Farge, A. Azzalani and J. Ziuber.
  Numerical simulation of the transcient flow behaviour in tube bundles using a volume penalisation method.
  Journal of Fluids and Structures., 20 (4), 555-566, 2005. PDF-File

• J. Lewalle, M. Farge. K. Schneider.
  Wavelet Transforms. section D 1.6.
  In Handbook of Experimental Fluid Mechanics.(Eds C. Tropea, A. Yarin, J.F. Foss)
  Springer-Verlag, 2005, to appear. PDF-File
   

• O.Roussel, K. Schneider and M. Farge.
  Coherent vortex extraction in 3D homogeneous turbulence: comparison between orthogonal and biorthogonal wavelet decompositions.
  Journal of Turbulence, Volume 6, Number 11, pp. 1-15, 2005. PDF-File
   

• O. Roussel, K. Schneider and H. Bockhorn.
  Numerical investigations of premixed spherical flames forLewis numbers larger than unity.
  Microgravity, Science and Technology, XVII(3), 99-105, 2005. PDF-File
   

• O. Roussel and K.Schneider.
  Adaptive multiresolution method for combustion problems : Application to flame ball-vortex interaction.
  Computers and Fluids, 34 (7), 817-831, 2005. PDF-file
   

• A. Azzalini, M. Farge and K. Schneider.
  Nonlinear wavelet thresholding: A recursive method to determine the optimal denoising threshold.
  Appl. Comput. Harm. Anal., 18, 177-185, 2005. PDF-file.
   

• A. Paccou, G. Chiavassa, J. Liandrat and K. Schneider.
  A penalization method applied to the wave equation.
  C. R. Acad. Sci. Paris Serie II, 333 (1), 79-85, 2005. PDF-file.
   

• K. Schneider, M. Farge, G. Pellegrino, and M. Rogers.
  Coherent vortex simulation of three-dimensional  turbulent mixing layers using orthogonal wavelets.
  J. Fluid Mech.,  534 : 39-66, 2005. PDF-file

2004

• A. Azzalini, M. Farge and K. Schneider.
  A recursive algorithm for nonlinear wavelet thresholding : applications to signal and image processing.
  IPSL, NAI Note n.43, March 2004. PDF-file.

• C. Beta, K. Schneider, M. Farge.
  Mixing in 2D isotropic turbulence - a numerical study using orthogonal wavelet filtering.
  Advances in Turbulence X, Proceedings of the Tenth European Turbulence Conference
  (H. I. Andersson & P.-A. Krogstad Eds.), 271-274, CIMNE, Barcelona 2004.
   

• M. Farge, A. Azzalini, M. Caldoro, K. Schneider.
  Rotating shallow water flow in a cylindrical container: direct numerical simulation and extraction of coherent vortices.
  Advances in Turbulence X, Proceedings of the Tenth European Turbulence Conference
  (H. I. Andersson & P.-A. Krogstad Eds.), 826, CIMNE, Barcelona 2004.

• O.Roussel, K. Schneider, H. Bockhorn.
  Adaptive numerical simulation of 3D pulsating spherical flames in micro-gravity.
  Proceedings of the 7th Drop Tower Days,  ZARM, Bremen, Germany,
  pp.128-130, 2004.
   

• J. E. Ruppert-Felsot, M. Caldoro, M. Farge, K. Schneider, H. L. Swinney.
  Coherent structures in rotating turbulent flow: laboratory and numerical experiments.
  IUTAM Symposium on Elementary Vortices and Coherent  Structures Significance in  Turbulence Dynamics -, 26-28 October 2004, Kyoto, Japan, accepted. 

• K. Schneider, M. Farge.
  Coherent Vortex Simulation (CVS) of dipole-wall interaction using volume penalisation.
  Advances in Turbulence X, Proceedings of the Tenth European Turbulence Conference
  (H. I. Andersson & P.-A. Krogstad Eds.), 621-624, CIMNE, Barcelona 2004. 
   

• K. Schneider, M. Farge.
  Direct numerical simulation of 2D decaying turbulence in a circular domain.
  Advances in Turbulence X, Proceedings of the Tenth European Turbulence Conference
  (H. I. Andersson & P.-A. Krogstad Eds.), 830, CIMNE, Barcelona 2004.

• K. Schneider, M. Farge and N. Kevlahan.
  Spatial intermittency in two-dimensional turbulence: a wavelet approach.
  Woods Hole Mathematics : Perspectives in Mathematics and Physics (Eds. N. Tongring & R.C. Penner), 
  World Scientific, 302-328, 2004. PDF-file

2003

• C. Beta, K. Schneider and M. Farge.
  CVS filtering to study mixing in 2D homogeneous turbulence.
  Comm. Nonlin. Sci. Num. Sim., 8 (3-4), 537-545, 2003. PDF-file

• C. Beta, K. Schneider, M. Farge and Bockhorn.
  Numerical studies of the mixing of passive and reactive scalars in two-dimensional turbulent flow using orthogonal wavelet filters.
  Chem. Eng. Sci., 58, 1463-1477, 2003. PDF-file.

• M. Farge, A. Azzalini, A. Mahalov, B. Nicolaenko, F. Tse, G. Pellegrino and K. Schneider.
  'Vortex tubes in Shear-stratified Turbulence'
  IUTAM Symposium on Tubes, Sheets and Singularities (Eds. K. Bajer & K. Moffat), Kluwer Academic Press, 217-228, 2003.

• M. Farge, K. Schneider, G. Pellegrino, A. Wray and B. Rogallo.
  Coherent vortex extraction in 3D homogeneous isotropic turbulence : comparison between CVS and POD decomposition.
  Phys. Fluids, 15 (10), 2886-2896, 2003. PDF-File

• O. Roussel, K. Schneider, A. Tsigulin and H. Bockhorn. 
  A conservative fully adaptive multiresolution algorithm for parabolic PDEs.
  J. Comput Phys., 188, 493-523, 2003. PDF-File

• K. Schneider and M. Farge.
  Extraction of coherent vortex tubes in a 3D turbulent mixing layer using orthogonal wavelets.
  IUTAM Symposium on Tubes, Sheets and Singularities in Fluid Dynamics (Eds. C. Bajer and K. Moffatt),
  Kluwer Academic Publishers, 211-216, 2003.

• W. Gerlinger, K. Schneider, J. Fröhlich and H. Bockhorn.
  Numerical simulations on the stability of spherical flame structures.
  Combust. Flame, 132 (1-2), 247-271, 2003. PDF-file.

• K. Schneider, M. Paget-Goy, G. Pellegrino, A. Verga and M. Farge.
  Direct numerical simulation of an impulsively started, or uniformely accelerated,
  plate using adaptive wavelet and Fourier methods with penalisation.
  Proceedings of Turbulence and Shear Flow Phenomena III
  (Eds. N. Kasagi et al.), Sendai (Japan), Vol.-1, 407-412, 2003.

2002

• C. Beta, K. Schneider, M. Farge and Bockhorn.
  Numerische Simulation von Mischung und chemischer Reaktion mit  Spektralverfahren unter Verwendung von Waveletfiltern.
  Chem. Ing. Tech., (74), 1441-1444, 2002. PDF-file.

• K. Schneider, M. Paget-Goy, G. Pellegrino and M.Farge.
  'Numerical simulation of an impulsively started plate with riblet at Re=9500 using wavelet and Fourier methods with penalisation'.
  Bull. Amer. Phys. Soc. 47(10), 33, 2002.
   

• K. Schneider and M. Farge.
  Adaptive wavelet simulation of a flow around an impulsively started cylinder using penalisation.
  Appl. Comput. Harm. Anal. , 12, 374-380, 2002. PDF-File.

• G. Pellegrino, K. Schneider and M. Farge.  
  Coherent Vortex Simulation of a three-dimensional temporally developing turbulent mixing layer.   
  Advances in turbulence IX (Eds. I.P. Castro, P.E. Hancock & T.G. Thomas), CIMNE, Barcelona, 341-344, 2002.

• K. Schneider and M. Farge.
   Coherent Vortex Simulation of an impulsively started cylinder at Re=3000 using an adaptive wavelet method with penalisation.
   Advances in turbulence IX (Eds. I.P. Castro, P.E. Hancock & T.G. Thomas), CIMNE, Barcelona, 471-474, 2002.

• K. Schneider and M. Farge. 
  Coherent Vortex Simulation (CVS) of 2D bluff body flows using an adaptive wavelet method with penalisation.
  Notes on Numerical Fluid Mechanics, (Ed. E.H. Hirschel), Springer, 261-270, 2002.

• B. Protas, K. Schneider and M. Farge.
  Geometrical alignment properties in Fourier and wavelet filtered statistically-stationary  two-dimensional turbulence.
  Phys. Rev. E, 66 (4), 046307, 2002. PDF-File.

• O. Roussel and K. Schneider.
  A conservative fully adaptive multiresolution scheme for 3D reaction-diffusion equations.
  Finite Volumes for Complex Geometries (Eds. R. Herbin & D. Kröner), Vol. 3, 833-840, 2002.

• M. Farge and K. Schneider
  Analysing and computing turbulent flows using wavelets.
  New trends in turbulence. Les Houches 2000, Vol. 74 (Eds. M. Lesieur, A. Yaglom and F. David), 449-503, Springer, 2002

2001

• M. Farge and K. Schneider.
  Coherent Vortex Simulation (CVS), a semi-deterministic turbulence model using wavelets.
  Flow, Turbulence and Combustion, 66(4), 393-426, 2001. PDF-File.

• M. Farge, G. Pellegrino and K. Schneider.
  Coherent Vortex Extraction in 3D Turbulent Flows using orthogonal wavelets.
  Phys. Rev. Lett., 87 (5), 054501-1-054501-4, 2001. PDF-File.

• K. Schneider and M. Farge.
  Computing and modelling turbulent flows using wavelets.
  Wavelet Transforms and Time-Frequency Signal Analysis (Ed. L. Debnath), Birkhäuser, 181-216, 2001.

• K. Schneider, M. Farge, F. Koster and M. Griebel.
  Adaptive wavelet methods for the Navier-Stokes equations.
  Notes on Numerical Fluid Mechanics (Ed. E. H. Hirschel), Springer, 303-318, 2001.

• M. Farge, K. Schneider and G. Pellegrino.
  Comparing CVS and LES filtering for 3D homogeneous isotropic turbulence.
  Proceedings of Turbulence and Shear Flow Phenomena II (Eds. E. Lindborg et al.), KTH Stockholm, Vol. 2, 171-174, 2001.

• K. Schneider, M. Farge, G. Pellegrino, and M. Rogers.
  CVS filtering of turbulent mixing layers using orthogonal wavelet decomposition.
  Proceedings of Turbulence and Shear Flow Phenomena II (Eds. E. Lindborg et al.), KTH Stockholm, Vol. 1, 313-316, 2001.

• K. Schneider and M. Farge.
  Représentation en bases d'ondelettes en mécanique des fluides numérique.
  Ecole de Printemps du CNRS, `Mécanique des Fluides Numérique', Aussois, 13.5.-19.5. 2001, 54 pages.

• G. Pellegrino, K. Schneider, P. Comte and M. Farge.
  Coherent vortex simulation (CVS) of a 3D time developing turbulent mixing layer.
  Bull. Amer. Phys. Soc., 46(10), 162, 2001.

• K. Schneider, C. Beta and M. Farge.
  Application of CVS filtering to mixing in two-dimensional homogeneous turbulence
  Bull. Amer. Phys. Soc., 46(10), 15, 2001.

• M. Farge, G. Pellegrino and K. Schneider, Frank Tse, Alex Mahalov, Basil Nicolaenko and Joe Fernando.
  Coherent vortex extraction in shear-stratified 3D turbulence using orthogonal wavelets.
  Bull. Amer. Phys. Soc., 46(10), 51-52, 2001.

• K. Schneider.
  Modélisation et simulation numérique en base d'ondelettes adaptative:
  applications en mécanique des fluides et en combustion.
  Habilitation thesis. Université Louis Pasteur Strasbourg. 2001.

2000

• K. Schneider and M. Farge.
  Numerical simulation of a mixing layer in an adaptive wavelet basis.
  C. R. Acad. Sci. Paris Série II b, 328, 263-269, 2000. PDF-File

• W. Gerlinger, K. Schneider, L. Falk and H. Bockhorn.
  Numerical Simulation of the Mixing of Passive and Reactive Scalars in Two-dimensional Flows Dominated by Coherent Vortices.
  Chem. Eng. Sci., 55, 4255-4269, 2000.PDF-File.

• W. Gerlinger, K. Schneider and H. Bockhorn.
  Numerical simulation of three-dimensional instabilities of spherical flame structures.
  Proc. Comb. Inst., 28, 793-799, 2000.

• W. Gerlinger, K. Schneider and H. Bockhorn.
  Direkte numerische Simulation von Mischung und Turbulenz in zweidimensionalen Strömungen.
  Chem.-Ing.-Tech., 72, 618-621, 2000.

• W. Gerlinger, K. Schneider and H. Bockhorn.
  Mixing in two-dimensional turbulent reactive flows.
  Z. angew. Math. Mech., 81(S3), 531-532, 2000.

• W. Gerlinger, K. Schneider and H. Bockhorn.
  Direct numerical simulation of three-dimensional flame instabilities.
  Z. angew. Math. Mech., 81 (S3), 529-530, 2000.

• K. Schneider and M. Farge.
  Coherent Vortex Simulation (CVS) of two-dimensional turbulence.
  Z. angew. Math. Mech., 81 (S3), 485-486, 2000.

• M. Farge, G. Pellegrino and K. Schneider.
  Wavelet filtering of three-dimensional turbulence.
  Z. angew. Math. Mech., 81 (S3), 465-466, 2000.

• K. Schneider and M. Farge.
  CVS filtering and computation of turbulent mixing layers using orthogonal wavelets.
  Eddy Structures Identification (Ed. J. Delville), ERCOFTAC Bulletin, 46, 18-24, 2000.

• M. Farge, K. Schneider, G. Pellegrino, A. Wray and B. Rogallo.
  CVS decomposition of three-dimensional homogeneous turbulence using orthogonal wavelets.
  Proceedings of the 2000 Summer Program, Center for Turbulence Research, Nasa Ames and Stanford University, 305-317, 2000.PDF-File.

• K. Schneider, M. Farge, G. Pellegrino, and M. Rogers.
  CVS filtering of 3D turbulent mixing layers using orthogonal wavelets.
  Proceedings of the 2000 Summer Program, Center for Turbulence Research,
  Nasa Ames and Stanford University, 319-330, 2000.PDF-File
   
• M. Farge, K. Schneider and G. Pellegrino.
  Vortex tube extraction in three-dimensional turbulence using orthogonal wavelets.
  Advances in Turbulence VIII (Eds. C. Dopazo et al.), CIMNE Barcelona, 797-800, 2000.

• K. Schneider and M. Farge.
  Coherent Vortex Simulation (CVS) of a two-dimensional mixing layer.
  Advances in Turbulence VIII (Eds. C. Dopazo et al.), CIMNE Barcelona, 745-748, 2000.

• B. Protas, K. Schneider and M. Farge.
  Alignment properties in wavelet filtered two-dimensional forced turbulence.
  Advances in Turbulence VIII (Eds. C. Dopazo et al.), CIMNE Barcelona, 793-796, 2000.

• W. Gerlinger, K. Schneider and H. Bockhorn.
  Direct numerical simulation of mixing in geophysical flows.
  Advances in Turbulence VIII (Eds. C. Dopazo et al.), CIMNE Barcelona, 355-358, 2000.

• M. Farge, K. Schneider, G. Pellegrino and A. Wray.
  Comparing CVS and LES filtering for 3D homogeneous turbulence.
  Bull. Amer. Phys. Soc., 45(9), 45, 2000.

• K. Schneider, M. Farge, G. Pellegrino and M. Rogers.
  CVS filtering of turbulent mixing layers using orthogonal wavelet decomposition.
  Bull. Amer. Phys. Soc., 45(9), 45, 2000.

• M. Farge, G. Pellegrino and K. Schneider.
  Coherent vortex extraction in 3D turbulence using orthogonal wavelets.
  Bull. Amer. Phys. Soc., 45(9), 45, 2000.

1999

• M. Farge, K. Schneider and N. Kevlahan.
  Non-Gaussianity and Coherent Vortex Simulation for two-dimensional turbulence using an orthogonal wavelet basis.
  Phys. Fluids, 11 (8), pp. 2187-2201, 1999. PDF-File

• J. Fröhlich and K. Schneider.
  Computation of Decaying Turbulence in an Adaptive Wavelet Basis.
  Physica D, 134(3), 337-361, 1999. PDF-File

• H. Bockhorn, J. Fröhlich and K. Schneider.
  An adaptive two-dimensional Wavelet-Vaguelette Algorithm for the Computation of Flame balls.
  Combust. Theory Modelling 3, 177-198, 1999. PDF-File

• M. Farge, N. Kevlahan, V. Perrier and K. Schneider.
  Turbulence analysis, modelling and computing using wavelets.
  Wavelets in Physics. (Ed. J.C. van den Berg), Cambridge University Press, 117-200, 1999.

• M. Farge, N. Kevlahan, C. Bardos and K. Schneider.
  Combining deterministic and statistical approaches to compute two-dimensional turbulent flows with walls.
  Fundamental Problematic Issues in Turbulence (Eds. A. Gyr, W. Kinzelbach and A. Tsinober), Birkhäuser, 163-174, 1999.

• H. Bockhorn, J. Fröhlich , W. Gerlinger and K. Schneider.
  Direct Numerical Simulation of Three-Dimensional Flame Balls.
  Scientific Computing in Chemical Engineering II (Eds. Keil, Mackens, Voß, Werther), Springer, 102-109, 1999.

• H. Bockhorn, W. Gerlinger, K. Schneider and J. Ziuber.
  Simulation and Analysis of Mixing in Two-Dimensional Turbulent Flows Using Fourier and Wavelet Techniques.
  Scientific Computing in Chemical Engineering II, (Eds. Keil, Mackens, Vo\ss, Werther), Springer, 344-351, 1999.

• K. Schneider and M. Farge.
  Numerical Simulation of forced two-dimensional turbulence using wavelets.
  Turbulence and Shear Flow Phenomena I (Eds. S. Banerjee and J. Eaton), Begell House Inc., 493-498, 1999.

• W. Gerlinger, K. Schneider and H. Bockhorn.
  Direkte numerische Simulation des Mischverhaltens in zweidimensionalen turbulenten Strömungen.
  Chem.-Ing.-Tech., 71 (9), 950-951, 1999.

• K. Schneider and M. Farge.
  Approximation par ondelettes en mécanique des fluides numérique.
  Ecole de Printemps du CNRS, `Mécanique des Fluides Numérique', 144 pages, 1999.

• H. Bockhorn, K. Schneider and J. Ziuber.
  Wavelet Analysis of Two-Dimensional Reactive Turbulent Flow Data from Direct Numerical Simulation.
  17th International Colloquium on the Dynamics of Explosions and Reactive Systems, 25.-30.7.1999, Universität Heidelberg.

• H. Bockhorn, J. Fröhlich, W. Gerlinger and K. Schneider.
  Thermo-diffusive instabilities of flame balls.
  Joint meeting of the British, German and French Sections, The Combustion Institute, 18.--21.5. 1999, Nancy, p. 37-39.

1998

• K. Schneider and M. Farge.
  Wavelet approach for modelling and computing turbulence.
  Advances in Turbulence Modelling. von Karman Institute for Fluid Dynamics, Lecture Series 1998-05, 132 pages, 1998.

• H. Bockhorn, J. Fröhlich and K. Schneider.
  Direkte numerische Simulation turbulenter reaktiver Strömungen,
  Wissenschaftliche Berichte FZKA 6084, pp. 3-19, 1998.

• M. Farge, K. Schneider and N. Kevlahan.
  Coherent structure eduction in wavelet-forced two-dimensional turbulent flows.
  IUTAM Symposium on Dynamics of slender vortices. (Eds. E. Krause and K. Gersten), Kluwer Academic Publishers, pp. 65-83, 1998. PDF-File

• H. Bockhorn, J. Fröhlich, W. Gerlinger and K. Schneider.
  Numerical investigations on the stability of flame balls.
  ECCOMAS98: Fourth ECCOMAS Computational Fluid Dynamcis Conference , John Wiley and Sons, Ltd., pp. 990-995, 1998. PS-File

• K. Schneider, N. Kevlahan and M. Farge.
  An adaptive wavelet method compared to nonlinearly filtered pseudo-spectral methods for two-dimensional turbulence.
  Advances in Turbulence VII. (Ed. U. Frisch), Kluwer Academic Publishers, pp. 147-150, 1998.

• F. Koster, M. Griebel, N. Kevlahan, M. Farge and K. Schneider.
  Towards an adaptive wavelet-based 3D Navier-Stokes solver.
  Notes on Numerical Fluid Mechanics. (Ed. E.H. Hirschel), Vieweg, pp. 339-364, 1998. PDF-File

• K. Schneider and M. Farge.
  Vortex excitation in turbulent flows using an adaptive wavelet scheme.
  Proceedings of the 3rd international workshop on vortex flows and related numerical methods (Ed. A. Giovannini), Toulouse, p. 89--90, 1998.

• H. Bockhorn, J. Fröhlich and K. Schneider.
  Numerical Simulation of Two-dimensional Flame Balls in an Adaptive Wavelet Basis.
  Proceedings of the SIAM Seventh International Conference on Numerical Combustion, 30.3.--1.4.1998, St John's College, York (UK)}, p. 156.

• K. Schneider and M. Farge.
  Vortex excitation in turbulent flows using an adaptive wavelet method.
  Proceedings of the International Wavelet Method 'Wavelets and Multiscale Methods, INRIA, Tanger (Maroc), p. 50--51, 1998.

1997

• J. Fröhlich and K. Schneider.
  An Adaptive Wavelet-Vaguelette Algorithm for the Solution of PDEs.
  J. Comput. Phys. 130, pp. 174-190, 1997. PDF-File

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

• K. Schneider, N. Kevlahan and M. Farge.
  Comparison of an adaptive wavelet method and nonlinearly filtered pseudo-spectral methods for the two-dimensional turbulence.
  Theoret. Comput. Fluid Dynamics., 9 (3/4), pp. 191-206, 1997. PDF-File

• H. Bockhorn, H. Fey, M. Kraft and K. Schneider.
  Dynamische Simulation von Mischung, Turbulenz und chemischen Reaktionen am Beispiel der Verbrennung halogenierter Kohlenwasserstoffe.
  Chem.-Ing.-Tech., 69 (9), 1275, 1997.

• J. Fröhlich and K. Schneider.
  Numerical simulation of coherent structures in turbulent flows using an adaptive wavelet basis.
  Z. angew. Math. Mech. 77, suppl. 2, 553, 1997.

• K. Schneider.
  Wavelet Algorithms for the Solution of PDEs.
  Proceedings of the Research Workshop of the Israeli Science Fondation:
  Multiscale Phenomena, Modelling and Computation, 2.3.-7.3.1997, Eilat (Israel), p. 66--67.

1996

• R. von Sachs and K. Schneider.
  Wavelet Smoothing of evolutionary spectra by non-linear thresholding.
  Appl. Comput. Harm. Anal., 3, pp. 268-282, 1996. PDF-File

• J. Fröhlich and K. Schneider.
  Numerical Simulation of Decaying Turbulence in an Adaptive Wavelet Basis.
  Appl. Comput. Harm. Anal. 3, pp. 393-397, 1996. PDF-File

• F. Schmitt, K. Schneider, F. Mauss and H. Bockhorn.
  NO Formation During Ignition of One Dimensional Laminar Flamelets.
  Proceedings of an International Workshop: Modelling of Chemical Reaction Systems, Heidelberg., (Eds. J. Warnatz, F. Behrendt), 1996.

• H. Bockhorn, J. Fröhlich, K. Schneider.
  An adaptive Wavelet-Vaguelette Algorithm for the bidimensional Navier-Stokes equations.
  Proceedings of Recent advances in partial differential equations and applications, 10.6.-14.6 1996, Venice (Italy), p. 90.

• K. Schneider.
  Wavelets, Turbulence and Chemical Reactions.
  PhD thesis, Universität Kaiserslautern, 1996.

1995

• J. Fröhlich and K. Schneider.
  A Fast Algorithm for Lacunary Wavelet Bases related to the Solution of PDEs.
  C.R. Math. Rep. Acad. Sci. Canada XVII (6), pp. 283-286, 1995.

• M. Kraft, K. Schneider, F. Schmitt and H. Bockhorn.
  Dynamische Simulation der Wechselwirkung von Turbulenz und chemischer Reaktion am Beispiel der Chloroformpyrolyse.
  Chem.-Ing.-Tech., 67 (9), pp. 1131-1132, 1995.

1994

• J. Fröhlich and K. Schneider.
  An adaptive wavelet Galerkin algorithm for one- and two-dimensional flame computations.
  Eur. J. Mech., B/Fluids 13, pp. 439-471, 1994.

• R. von Sachs and K. Schneider.
  Nonlinear Wavelet smoothing of time-dependant power spectra.
  Proceedings of the Workshop on Time-Frequency, Wavelets and Multiresolution:
  Theory, Models and Applications, 9.3.--11.3. 1994. INSA Lyon (France), p. 32.1-32.4.

• R. von Sachs and K. Schneider.
  Nonlinear wavelet methods for locally stationary time series.
  Proceedings of XVe Rencontres Franco-Belges de Statisticiens, Ondelettes et Statistique, 16.11.--18.11. 1994, Grenoble (France).

1992

• K. Schneider.
  Entwicklung eines adaptiven Algorithmus zur numerischen Lösung der partiellen Differentialgleichungen des zweidimensionalen,
  nstationären thermodiffusiven Modells einer Flamme unter Benutzung einer Waveletbasis.
  Diplomarbeit, Fachbereich Mathematik Arbeitsgruppe Technomathematik, Universität Kaiserslautern, 1992.

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