Universität Paderborn | Publications

Angela Kunoth - Publications and Reports

Recent Manuscripts/Posters/Book Chapters

Chr. Mollet, A. Kunoth, T. Meier
Excitonic Eigenstates of Disordered Semiconductor Quantum Wires: Adaptive Wavelet Computation of Eigenvalues for the Electron-Hole Schrödinger Equation, IMA Preprint #2381, University of Minnesota, September 2011, submitted for publication, revised, April 2012.

A. Kunoth,
Multiresolution methods, March 2012, to appear in: 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, submitted for publication, revised manuscript, 28 p., February 2012.

M. Heindl, A. Kunoth,
An Adaptive Wavelet Viscosity Method for Systems of Hyperbolic Conservation Laws, Manuscript, 14 p, February 2012, submitted for publication.

B. Huang, A. Kunoth,
An Optimization-Based Empirical Mode Decomposition Scheme, Manuscript, 14 p, IMA Preprint #2389, University of Minnesota, February 2012, submitted for publication (Animation, 40MB).

A. Kunoth, Chr. Schneider, K. Wiechers,
Multiscale Methods for the Valuation of American Options with Stochastic Volatility, Manuscript, 20 p., IMA Preprint #2382, University of Minnesota, September 2011, submitted for publication, revised, December 2011, 19 p., to appear in: International Journal of Computer Mathematics, Special Issue on `Computational Methods for PDEs in Finance'.

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.

A. Kunoth, Chr. Schwab,
Analytic Regularity and GPC Approximation for Control Problems Constrained by Linear Parametric Elliptic and Parabolic PDEs, SAM preprint #2011-54, ETH Zürich, and IMA Preprint #2380, University of Minnesota, September 2011, submitted for publication.

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.

Refereed Articles in Journals/Books/Conference Proceedings

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.

Recent Book

Ronald DeVore, Angela Kunoth (Eds.), Multiscale, Nonlinear and Adaptive Approximation, 2009, XXIV, 659 p., Hardcover, ISBN: 978-3-642-03412-1

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. published online
A. Kunoth,
Adaptive Wavelet Schemes for an Elliptic Control Problem with Dirichlet Boundary Control, Numer. Algor. 39 (1-3), 2005, 199-220. published online
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, published online
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., published online.
S. Bertoluzza, A.Kunoth,
Wavelet Stabilization and Preconditioning for Domain Decomposition,
IMA J. Numer. Anal. 20, 2000, 533-559.
Abstract.
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, Abstract.

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, Abstract.

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.

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Angela Kunoth - Publications and Reports