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Publication Profile at google scholar

Recent Manuscripts

  • A. Kunoth, Chr. Mollet,
    Space-Time Formulations of Parabolic PDE-Constrained Control Problems, Manuscript, 21 pages, July 2015, in revision
  • Y. Shao, S. Liu, M. Hintz, S. Lennartz-Sassinek, A. Kunoth, C. Simmer,
    Impact of surface-heterogeneity on atmosphere and land-surface interactions, Manuscript,  33 p., May 2014.
  • B. Huang, A. Kunoth,
    An Optimization Based Empirical Mode Decomposition Scheme for Images,
    Manuscript, October 2012, ACMAC Preprint #152, University of Crete.

Refereed Articles in Journals/Books/Book Chapters/Conference Proceedings/Poster

  • A. Kunoth, Chr. Schwab,
    Sparse Adaptive Tensor Galerkin Approximations of Stochastic PDE-constrained Control Problems, to appear in: SIAM/ASA Journal on Uncertainty Quantification. Also available as Preprint 2015-37, Seminar for Applied Mathematics, ETH Zürich, 2015.
  • H. Vereecken, Y. Pachepsky, C. Simmer, J. Rihani, A. Kunoth, W. Korres, A. Graf, H.J.-Hendricks Franssen, I. Thiele-Eiche, Y. Shao,
    On the role of patterns in soil-vegetation-atmosphere systems, Journal of Hydrology, August 2016, in print.
  •  A. Hegemann, A. Kunoth, K. Rupp, C. Sureth-Sloane,
    Hold or sell ? How capital gains taxation effects holding decisions,
    to appear in: Review of Managerial Science, 2016, doi: 10.1007/s11846-016-0197-9.
  • A. Kunoth,
    Multilevel Preconditioning for Variational Problems, in:Lecture Notes in Computational Sciences and Engineering,
    B. Jüttler, B. Simeon (eds.), 2014, 247-281.
  • B. Huang, A. Kunoth,
    A different view on the vector-valued empirical mode decomposition (VEMD), CISP (7th International Congress on Image and Signal Processing) Proceedings 2014, Dalian, China, October 2014.
  • B. Huang, A. Kunoth,
    A unique polar representation of the hyperanalytic signal, IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2014), Florence, Italy, May 2014.
  • F. Bause, B. Huang, A. Kunoth, B. Henning,
    Ultrasonic Waveguide Signal Decomposition Using the Synchrosqueezed Wavelet Transform for Modal Group Delay Computation,  In IEEE-UFFC Joint Symposia, July 21-25, 2013, Prague, Czech Republic.
  • A. Buffa, H. Harbrecht, A. Kunoth, G. Sangalli, 
    BPX-Preconditioning for Isogeometric Analysis, Comput. Methods Appl. Mech. Engrg. 265, 2013, 63-70, dx.doi.org/10.1016/j.cma.2013.05.014
  • A. Kunoth, Chr. Schwab,
    Analytic Regularity and GPC Approximation for Control Problems Constrained by Linear Parametric Elliptic and Parabolic PDEs, SIAM J. Contr. Optim. 51(3), 2013, 2442-2471. Also available as ACMAC Preprint #162, University of Crete, March 2013.
  • A. Kunoth,
    Multiresolution methods, March 2012, to appear in: Springer Encyclopedia of Applied and Computational Mathematics.
  • G. Jager, A. Kunoth, W.-D. Schuh, 
    Approximate Continuation of Harmonic Functions in Geodesy: A Spline Based Least Squares Approach with Regularization, J. Comp. Appl. Math. 237(1), January 2013, 62-82, http://dx.doi.org/10.101/j.cam.2012.07.007.
  • B. Huang, A. Kunoth, 
    An Optimization-Based Empirical Mode Decomposition (OEMD), Poster presented at the IMA Hot Topics Workshop "Instantaneous Frequencies and Trends for Nonstationary Nonlinear Data'', September 7-9, 2011, University of Minnesota.
  •  P. Kantartzis, A. Kunoth, R. Pabel, P. Liatsis, 
     Multi-Scale Interior Potential Approximation for EIT, Proceedings of the 12th International Conference in Electrical Impedance Tomography (EIT 2011), University of Bath, UK.
  •  P. Kantartzis, A. Kunoth, R. Pabel, P. Liatsis, 
     Single-Scale Interior Potential Approximation for EIT, Proceedings of the 12th International Conference in Electrical Impedance Tomography (EIT 2011), University of Bath, UK.
  • A. Kunoth,
    Optimized Wavelet Preconditioning, in: Multiscale, Nonlinear and Adaptive Approximation, R.A.DeVore, A. Kunoth (eds.), Springer, 2009, 325-378.
  • D. Castano, M. Gunzburger, A. Kunoth,
    An Adaptive Wavelet Viscosity Method for Hyperbolic Conservation Laws, Numer. Meths. for PDEs 24 (6), 2008, 1388-1404
    DOI: 10.1002/num.20322
  • C. Burstedde, A. Kunoth,
    A Wavelet-Based Nested Iteration-Inexact Conjugate Gradient Algorithm for Adaptively Solving Elliptic PDEs, Numer. Algor. 48 (1-3), 2008, 161-188.
    DOI: 10.1007/s11075-008-9164-0
  • M. Holtz, A. Kunoth,
    B-Spline Based Monotone Multigrid Methods, revised manuscript, Siam J. Numer. Anal. 45 (3), 2007, 1175-1199.
  • J. Maes, A. Kunoth, A. Bultheel
    BPX-Type Preconditioners for 2nd and 4th Order Elliptic Problems on the Sphere, SIAM J. Numer. Anal., 45 (1), 2007, 206-222.
  • A. Kunoth, M. Schlichtenmayer, Chr. Schneider,
    Speed Windsurfing: Modelling and Numerics, Intern. J. Numerical Anal. and Modelling 4 (3-4), 2007, 548-558.
  • W. Dahmen, A. Kunoth, J. Vorloeper
    Convergence of Adaptive Wavelet Methods for Goal-Oriented Error Estimation, in: Proceedings of Enumath 2005, 39-60, 2006.
  • M. Holtz, A. Kunoth,
    B-Spline Based Monotone Multigrid Methods with an Application to the Prizing of American Options, In: Multigrid, Multilevel and Multiscale Methods, Proc. EMG, 2005, P. Wesseling and C.W. Oosterlee and P. Hemker (Eds.).
  • C. Burstedde, J. Braun, A. Kunoth
    Computing Light Masks in Neutral Atom Lithography, J. Comput. Physics 220 (1), 2006, 422-440.
    DOI: dx.doi.org/10.1016/j.jcp.2006.07.012
  • A. Kunoth,
    Wavelet Schemes for Elliptic Control Problems, in: Operations Research Proceedings 2005, H.-D. Haasis et al. (eds), Springer, 2006, 453-458.
  • C. Burstedde, A. Kunoth,
    Fast Iterative Solution of Elliptic Control Problems in Wavelet Discretizations, revised manuscript, J. Comp. Appl. Math. 196(1), 2006, 299-319.
  • A. Kunoth,
    Adaptive Wavelets for Sparse Representations of Scattered Data, in: Topics in Multivariate Approximation and Interpolation, K. Jetter et al. (eds.), Elsevier, 2006.
  • D. Castano, A. Kunoth,
    Robust Regression of Scattered Data with Adaptive Spline-Wavelets, revised, IEEE Trans. Image Proc.15 (6), 2006, 1621-1632.
  • A. Kunoth, J. Sahner
    Wavelets on Manifolds: An Optimized Construction, revised, Math. Comp. 75, 2006, 1319-1349.
  • A. Kunoth,
    Wavelet-Based Multiresolution Methods for Stationary PDEs and PDE-Constrained Control Problems, in: Frontiers in Numerical Analysis, J. Blowey, A. Craig (eds.), Durham 2004, Springer, 2005, 1-63.
  • D. Castano, A. Kunoth,
    Multilevel Regularization of Wavelet Based Fitting of Scattered Data - Some Experiments, Numer. Algor. 39 (1-3), 2005, 81-96.
  • A. Kunoth,
    Adaptive Wavelet Schemes for an Elliptic Control Problem with Dirichlet Boundary Control, Numer. Algor. 39 (1-3), 2005, 199-220. 
  • W. Dahmen, A. Kunoth,
    Adaptive Wavelet Methods for Linear--Quadratic Elliptic Control Problems: Convergence Rates, SIAM J. Contr. Optim. 43(5), 1640-1675, 2005.
  • A. Kunoth,
    Two Applications of Adaptive Wavelet Methods, in: ``Modern Developments in Multivariate Approximation'', W. Haussmann et.al.(eds.), Birkhäuser, Inter. Series of Numerical Mathematics, Vol. 145, 2003, 175-201.
  • M. Mützel, U. Rasbach, D. Meschede, C. Burstedde, J. Braun, A. Kunoth, K. Peithmann, K. Buse,
    Atomic Nanofabrication with Complex Light Fields, Appl. Phys. B 77, 2003, 1-9.
  • D. Castano, A. Kunoth
    Adaptive Fitting of Scattered Data by Spline--Wavelets, in: ``Curves and Surfaces'', L.L. Schumaker et. al. (eds.) Vanderbilt University Press, 2003, 65-78.
  • Th. Gerstner, F. Kiefer, A. Kunoth,
    Wavelet and Multigrid Methods for Convection--Diffusion Equations, in: Dynamics of Multiscale Earth Systems, H.J. Neugebauer, C. Simmer (eds.), Lecture Notes in Earth Sciences, Springer, 2003, 69--88.
  • Th. Gerstner, H.--P. Helfrich, A. Kunoth,
    Wavelet Analysis of Geoscientific Data, in: Dynamics of Multiscale Earth Systems, H.J. Neugebauer, C. Simmer (eds.), Lecture Notes in Earth Sciences, Springer, 2003, 123--134.
  • W. Dahmen, A. Kunoth,  R. Schneider,
    Wavelet Least Square Methods for Boundary Value Problems,  Abstract, Siam J. Numer. Anal. 39 (6), 2002, 1985-2013.
  • A. Kunoth,
    Fast Iterative Solution of Saddle Point Problems in Optimal Control Based on Wavelets,  Abstract, Comput. Optim. Appl. 22, 2002, 225-259.
  • A. Kunoth,
    Wavelet Techniques for the Fictitious Domain---Lagrange Multiplier Approach,  Abstract, Numer. Algor. 27, 2001, 291--316.
  • W. Dahmen, A. Kunoth,
    Appending Boundary Conditions by Lagrange Multipliers: Analysis of the LBB Condition,
    Numer. Math. 88, 2001, 9--42.
  • S. Bertoluzza, A.Kunoth,
    Wavelet Stabilization and Preconditioning for Domain Decomposition, 
    IMA J. Numer. Anal. 20, 2000, 533-559.

  • W. DahmenB. HanR.-Q. Jia, A. Kunoth,
    Biorthogonal Multiwavelets on the Interval: Cubic Hermite Splines, (1.6 MB)
    Constr. Approx. 16, 2000, 221-259.
    Data of Mask Matrices.
  • W. Dahmen, A. Kunoth, K. Urban,
    Biorthogonal Spline-Wavelets on the Interval - Stability and Moment Conditions,
    Appl. Comp. Harm. Anal. 6, 1999, 132-196,
    Data of Mask Matrices.
  • E. Arge, A. Kunoth,
    An Efficient ADI-Solver for Scattered Data Problems with Global Smoothing,
    J. Comput. Phys. 139, 343-358, 1998.
  • W. Dahmen, A. Kunoth, K. Urban,
    Wavelets in Numerical Analysis and their Quantitative Properties,
    in: Surface Fitting and Multiresolution Methods, A. Le Mehaute, C. Rabut, and L. L. Schumaker (eds.), Vanderbilt Univ. Press, Nashville, TN, 1997, 93-130.   Abstract.
  • T. Barsch, A. Kunoth, K. Urban,
    Towards Object Oriented Software Tools for Numerical Multiscale Methods for P.D.E.s using Wavelets,
    in: Multiscale Wavelet Methods for Partial Differential Equations, W. Dahmen, A. Kurdila and P. Oswald (eds.), Academic Press, 1997, 383-412.
  • W. Dahmen, A. Kunoth, R. Schneider, Operator Equations, Multiscale Concepts and Complexity ,  in: Lectures in Applied Mathematics, Vol. 32, J. Renegar, M. Shub and S. Smale (eds.), American Mathematical Society, 1996, 225-261.
  • W. Dahmen, A. Kunoth, K. Urban, A Wavelet-Galerkin Method for the Stokes Equations,  Computing 56, No. 3, 1996, 259-302.     
  • A. Kunoth, Multilevel Preconditioning - Appending Boundary Conditions by Lagrange Multipliers,  Adv. Comput. Math. 4, 1995, 145-170,  Abstract.
  • S. Dahlke, A. Kunoth, Biorthogonal Wavelets and Multigrid,  in: Adaptive Methods - Algorithms, Theory and Applications, Proceedings of the 9th GAMM Seminar, W. Hackbusch, G. Wittum (eds.), NNFM Series Vol. 46, Vieweg, 1994, 99-119,  Abstract.
  • A. Kunoth,   On the fast evaluation of integrals of refinable functions,  in: Wavelets, Images, and Surface Fitting, P.J. Laurent, A. LeMehaute, L.L. Schumaker (eds.), AKPeters, Boston, 1994, 327-334.
  • W. Dahmen, A. Kunoth, Multilevel preconditioning,  Numer. Math. 63, 1992, 315-344.

Edited Volumes

  • Ronald DeVore, Angela Kunoth (Eds.), Multiscale, Nonlinear and Adaptive Approximation, 2009, XXIV, 659 p., Hardcover, ISBN: 978-3-642-03412-1
  • C. de Boor, C. Gout, A. Kunoth, C. Rabut, Multivariate Approximation: Theory and Applications, An Overview, Special Issue of Numerical Algorithms, Volume 48 (1-3), 2008, 1-9. DOI: 10.1007/s11075-008-9190-y
  • A. Kunoth, S. Müller, Breaking Complexity: Multiscale Methods for Efficient PDE Solvers, Special Issue of the Journal of Numerical Mathematics, Volume 14, Number 3, September 2006

Books and Scripts

  • A. Kunoth,
    Wavelet Methods - Elliptic Boundary Value Probles and Control Problems, Advances in Numerical Mathematics, Teubner, 2001,  Abstract,  Table of Contents,  Corrections and extensions. 
  • A. Kunoth,
    Multilevel Preconditioning,   Shaker, Aachen, 1994.
  • A. Kunoth,
    Mathematische Methoden in der Geometrischen Datenverarbeitung (CAGD), (in German)
    Vorlesungsskript, Freie Universität Berlin, Juli 1990.

Further Manuscripts

  • D. Castano Diez, G. Jager, A. Kunoth,
    Multiscale Analysis of Multivariate Data, 20 p., July 2009, in: 18th International Conference on the Application of Computer Science and Mathematics in Architecture and Civil Engineering (Electronic Proceedings), K. Gürlebeck and C. Könke (eds.), Weimar, Germany, 07-09 July 2009
  • M. Holtz, A. Kunoth,
    B-Spline Based Monotone Multigrid Methods - Extended Version, October 2005
  • A. Kunoth, J. Sahner,
    Wavelets on Manifolds: An Optimized Construction - Extended Version, SFB 611 Preprint No. 163, Universität Bonn, July 2004, revised, April 2005, 46 p.
  • W. Dahmen, A. Kunoth,  R. Schneider,
    Wavelet Least Square Methods for Boundary Value Problems - Extended Version, Manuscript, October 2000.
  • A. Kunoth, A.-S. Piquemal, J. Vorloeper,
    Multilevel Preconditioners for Discretizations of Elliptic Boundary Value Problems - Experiences with Different Software Packages, IGPM Preprint #194, July 2000.
  • S. Dahlke, A.Kunoth,
    Multilevel Characterizations of Function Spaces on Skeletons,
    IGPM-Preprint #155, March 1998,
    in: Proceedings of the International Wavelets Conference "Wavelets and Multiscale Methods'', Tanger, Morocco, April 13--17, 1998, INRIA report.
  • A. Kunoth,
    Computing Refinable Integrals - Documentation of the Program ,
    Version 1.1, May 1995, Technical Report ISC-95-02-MATH,  Abstract.