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.

• M. Heindl, A. Kunoth,
  An Adaptive Wavelet Viscosity Method for Systems of Hyperbolic Conservation Laws, J. Comput. Appl. Maths. 240, 2013, 215-224, http://dx.doi.org/10.1016/j.cam.2012.07.030


• B. Huang, A. Kunoth, 
  An Optimization-Based Empirical Mode Decomposition Scheme, J. Comput. Appl. Math. 240, 2013, 174-183, (Animation, 40MB),  http://dx.doi.org/10.1016/j.cam.2012.07.012

• Chr. Mollet, A. Kunoth, T. Meier,
  Excitonic Eigenstates of Disordered Semiconductor Quantum Wires: Adaptive Wavelet Computation of Eigenvalues for the Electron-Hole Schrödinger Equation, Commun. Comput. Physics 14(1), 21-47, July 2013, doi: 10.4208/cicp.081011.260712a.

• 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.

• A. Kunoth, Chr. Schneider, K. Wiechers, 
  Multiscale Methods for the Valuation of American Options with Stochastic Volatility, International Journal of Computer Mathematics, Vol. 89(9), June 2012, 1145-1163.

• 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.

• Chr. Mollet, T. Meier, A. Kunoth, 
  Wavelet-based Adaptive Computations of the Excitonic Eigenstates of Disordered Semiconductor Quantum Wires, AIP Conference Proceedings Volume 1398 , 2011, 156-158, accepted as poster presentation for  2nd International Workshop TaCoNa-Photonics, Bad Honnef, Germany. October 26-28, 2011.

•  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.

•  M.D. Gunzburger, A. Kunoth, 
   Space-Time Adaptive Wavelet Methods for Control Problems Constrained by Parabolic Evolution Equations, SIAM J. Contr. Optim. Vol.49, No.3, 2011, 1150–1170; DOI: 10.1137/100806382.

•  P. Kantartzis, A. Kunoth, R. Pabel, P. Liatsis, 
    Non-Invasive Imaging of Domains with Deformable Boundaries Using EIT (Electrical Impedance Tomography), 32nd IEEE EMBS Int. Conf., Buenos Aires, Argentina, 2010, 

• G. Jager, R. Koch, A. Kunoth, R. Pabel, Fast Empirical Mode Decompositions of Multivariate Data Based on Adaptive Spline-Wavelets and a Generalization of the Hilbert-Huang-Transform (HHT) to Arbitrary Space Dimensions, Advances in Adaptive Data Analysis (AADA) 2(3), 2010, 337-358.

• P. Kantartzis, A. Kunoth, R. Pabel, P. Liatsis, 
  Wavelet Preconditioning for EIT (Electrical Impedance Tomography), J. Phys.: Conf. Ser. 224 012023, 2010, iopscience.iop.org/1742-6596/224/1/012023/.

• J. Rudi, R. Pabel, G. Jager, R. Koch, A. Kunoth, H. Bogena, 
  Multiscale Analysis of Hydrologic Time Series Data using the Hilbert-Huang-Transform (HHT), Vadose Zone Journal (VZJ) (9), November 2010, 925 - 942.

• 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. Dahmen,  B. Han,  R.-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

• R.A. DeVore, A. Kunoth,
  Introduction: Wolfgang Dahmen's Mathematical Work, in: Multiscale, Nonlinear and Adaptive Approximation, R. A. DeVore, A. Kunoth (Eds.), 2009, 1-17.

• 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.