Publikationsliste

An all-at-once solver for visco-acoustic full waveform inversion in the time-domain
Rheinbay, C.; Rieder, A.
2025. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000182886  

On the mathematical foundation of full waveform inversion in viscoelastic vertically transverse isotropic media *
Rieder, A.
2025. Inverse Problems, 41 (5), 055009. doi:10.1088/1361-6420/adcfc0  

On the mathematical foundation of full waveform inversion in viscoelastic vertically transverse isotropic media (revised)
Rieder, A.
2025. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000181267  

In memoriam Alfred K Louis
Hahn, B.; Maass, P.; Rieder, A.; Schuster, T.
2025. Inverse Problems, 41 (2), 020201. doi:10.1088/1361-6420/ad9cb6 

On the mathematical foundation of full waveform inversion in viscoelastic vertically transverse isotropic media
Rieder, A.
2024. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000176962  

A microlocal and visual comparison of 2D Kirchhoff migration formulas in seismic imaging
Ganster, K.; Todd Quinto, E.; Rieder, A.
2024. Inverse Problems, 40 (11), 115001. doi:10.1088/1361-6420/ad797b  

Tangential Cone Condition for the Full Waveform Forward Operator in the Viscoelastic Regime: The Nonlocal Case
Eller, M.; Griesmaier, R.; Rieder, A.
2024. SIAM Journal on Applied Mathematics, 84 (2), 412–432. doi:10.1137/23M1551845 

A microlocal and visual comparison of 2D Kirchhoff migration formulas in seismic imaging
Ganster, K.; Quinto, E. T.; Rieder, A.
2024. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000170104  

Seismic imaging with generalized Radon transforms: stability of the Bolker condition
Kunstmann, P. C.; Quinto, E. T.; Rieder, A.
2023. Pure and Applied Mathematics Quarterly, 19 (4), 1985–2036. doi:10.4310/pamq.2023.v19.n4.a11 

Multiparameter 2-D viscoelastic full-waveform inversion of Rayleigh waves: a field experiment at Krauthausen test site
Gao, L.; Pan, Y.; Rieder, A.; Bohlen, T.; Mao, W.
2023. Geophysical Journal International, 234 (1), 297–312. doi:10.1093/gji/ggad072 

Approximate Inversion of a Class of Generalized Radon Transforms
Ganster, K.; Rieder, A.
2023. SIAM Journal on Imaging Sciences, 16 (2), 842–866. doi:10.1137/22M1512417 

On the iterative regularization of non-linear illposed problems in
Pieronek, L.; Rieder, A.
2023. Numerische Mathematik, 154 (1-2), 209–247. doi:10.1007/s00211-023-01359-7  

Inexact Newton regularizations with uniformly convex stability terms: a unified convergence analysis
Margotti, F.; Pauleti, M.; Rieder, A.
2023. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000157900  

Tangential cone condition for the full waveform forward operator in the viscoelastic regime: the non-local case
Eller, M.; Griesmaier, R.; Rieder, A.
2023. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000155827  

Tangential cone condition for the full waveform forward operator in the elastic regime: the non-local case
Eller, M.; Griesmaier, R.; Rieder, A.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000150845  

Approximate inversion of generalized Radon transforms
Ganster, K.; Rieder, A.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000149179  

High-resolution characterization of shallow aquifer by 2D viscoelastic full-waveform inversion of shallow seismic wavefield acquired at the Krauthausen test site
Gao, L.; Pan, Y.; Rieder, A.; Bohlen, T.; Weijian, M.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000147889  

Seismic imaging with generalized Radon transforms: stability of the Bolker condition
Kunstmann, P. C.; Quinto, E. T.; Rieder, A.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000141638  

On the iterative regularization of non-linear illposed problems in L∞
Pieronek, L.; Rieder, A.
2021. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000140578  

Tangential cone condition and Lipschitz stability for the full waveform forward operator in the acoustic regime
Eller, M.; Rieder, A.
2021. Inverse problems, 37 (8), Art.-Nr.: 085011. doi:10.1088/1361-6420/ac11c5  

Multiparameter viscoelastic full waveform inversion of shallow seismic surface waves with a preconditioned truncated-Newton method
Gao, L.; Pan, Y.; Rieder, A.; Bohlen, T.
2021. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000131530  

Multiparameter viscoelastic full-waveform inversion of shallow-seismic surface waves with a pre-conditioned truncated Newton method
Gao, L.; Pan, Y.; Rieder, A.; Bohlen, T.
2021. Geophysical Journal International, 227 (3), 2044–2057. doi:10.1093/gji/ggab311 

Visco-acoustic full waveform inversion: From a DG forward solver to a Newton-CG inverse solver
Bohlen, T.; Fernandez, M. R.; Ernesti, J.; Rheinbay, C.; Rieder, A.; Wieners, C.
2021. Computers and Mathematics with Applications, 100, 126–140. doi:10.1016/j.camwa.2021.09.001 

Erratum: Inverse Problems for Abstract Evolution Equations II: Higher Order Differentiability for Viscoelasticity
Kirsch, A.; Rieder, A.
2021. SIAM journal on applied mathematics, 81 (1), 282–283. doi:10.1137/20M1372160 

An all-at-once approach to full waveform inversion in the viscoelastic regime
Rieder, A.
2021. Mathematical Methods in the Applied Sciences, 44 (8), 6376–6388. doi:10.1002/mma.7190  

Tangential cone condition and Lipschitz stability for the full waveform forward operator in the acoustic regime
Eller, M.; Rieder, A.
2021. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000130168/v2  

Imaging with the elliptic radon transform in three dimensions from an analytical and numerical perspective
Grathwohl, C.; Kunstmann, P. C.; Quinto, E. T.; Rieder, A.
2020. SIAM journal on imaging sciences, 13 (4), 2250–2280. doi:10.1137/20M1332657 

An all-at-once approach to full wavefrom seismic inversion in the viscoelastic regime
Rieder, A.
2020. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000119758  

Imaging with the elliptic Radon transform in 3D from an analytical and numerical perspective
Grathwohl, C.; Kunstmann, P. C.; Quinto, E. T.; Rieder, A.
2020. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000118531  

Visco-acoustic full waveform seismic inversion: from a DG forward solver to a Newton-CG inverse solver
Bohlen, T.; Fernandez, M. R.; Ernesti, J.; Rheinbay, C.; Rieder, A.; Christian, W.
2020. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000105695  

Inverse Problems for Abstract Evolution Equations II: Higher Order Differentiability for Viscoelasticity
Kirsch, A.; Rieder, A.
2019. SIAM journal on applied mathematics, 79 (6), 2639–2662. doi:10.1137/19M1269403 

Inverse problems for abstract evolution equations II: higher order differentiability for viscoelasticity
Kirsch, A.; Rieder, A.
2019. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000095973  

Microlocal analysis of imaging operators for effective common offset seismic reconstruction
Grathwohl, C.; Kunstmann, P.; Quinto, E. T.; Rieder, A.
2018. Inverse problems, 34 (11), 114001. doi:10.1088/1361-6420/aadc2a 

Microlocal analysis of imaging operators for effective common offset seismic reconstruction
Grathwohl, C.; Kunstmann, P.; Rieder, A.; Quinto, E. T.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000083268  

Approximate inverse for the common offset acquisition geometry in 2D seismic imaging
Grathwohl, C.; Kunstmann, P.; Quinto, E. T.; Rieder, A.
2018. Inverse problems, 34 (1), Art.Nr. 014002. doi:10.1088/1361-6420/aa9900 

Adaptive wavelet collocation method for simulation of a 2D micro-ring resonator
Li, H.; Hiremath, K. R.; Rieder, A.; Freude, W.
2017. Optik, 131, 655–670. doi:10.1016/j.ijleo.2016.11.154 

Approximate inverse for the common offset acquisition geometry in 2D seismic imaging
Grathwohl, C.; Kunstmann, P.; Quinto, E. T.; Rieder, A.
2016. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000062931  

Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity
Kirsch, A.; Rieder, A.
2016. Inverse problems, 32 (8), Art.Nr.: 085001. doi:10.1088/0266-5611/32/8/085001 

Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity
Kirsch, A.; Rieder, A.
2016. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000051550  

Corrigendum: Seismic tomography is locally ill-posed (2014 Inverse Problems 30 125001)
Kirsch, A.; Rieder, A.
2015. Inverse problems, 31 (11), 119501. doi:10.1088/0266-5611/31/11/119501 

Model-aware Newton-type inversion scheme for electrical impedance tomography
Winkler, R.; Rieder, A.
2015. Inverse problems, 31 (4), 045009. doi:10.1088/0266-5611/31/4/045009 

An inexact Newton regularization in Banach spaces based on the nonstationary iterated Tikhonov method
Margotti, F.; Rieder, A.
2014. Journal of Inverse and Ill-Posed Problems, 23 (4), 373–392. doi:10.1515/jiip-2014-0035 

Fine-tuning of the complete electrode model
Winkler, R.; Staboulis, S.; Rieder, A.; Hyvönen, N.
2014. 15th International Conference on Biomedical Applications of Electrical Impedance, Gananoque, Canada, April 24-26, 2014. Ed.: A. Adler, 28/1–1, Systems and Computer Engineering 

Geometric reconstruction in bioluminescence tomography
Kreutzmann, T.; Rieder, A.
2014. Inverse Problems and Imaging, 8 (1), 173–197. doi:10.3934/ipi.2014.8.173 

A kaczmarz version of the REGINN-Landweber iteration for ill-posed problems in Banach spaces
Margotti, F.; Rieder, A.; Leitao, A.
2014. SIAM Journal on Numerical Analysis, 52 (3), 1439–1465. doi:10.1137/130923956 

Seismic tomography is locally ill-posed
Kirsch, A.; Rieder, A.
2014. Inverse Problems, 30 (12), 125001. doi:10.1088/0266-5611/30/12/125001 

Resolution-controlled conductivity discretization in electrical impedance tomography
Winkler, R.; Rieder, A.
2014. SIAM Journal on Imaging Sciences, 7 (4), 2048–2077. doi:10.1137/140958955 

On the linearization of operators related to the full waveform inversion in seismology
Kirsch, A.; Rieder, A.
2014. Mathematical Methods in the Applied Sciences, 37 (18), 2995–3007. doi:10.1002/mma.3037 

Model-Aware Newton-Type Inversion Scheme For Electrical Impedance Tomography
Winkler, R.; Rieder, A.
2014. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000045979  

An Inexact Newton Regularization in Banach Spaces based on the Nonstationary Iterated Tikhonov Method
Margotti, F.; Rieder, A.
2014. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000045978  

Seismic Tomography is Locally Ill-Posed
Kirsch, A.; Rieder, A.
2014. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000039448  

Resolution-Controlled Conductivity Discretization in Electrical Impedance Tomography
Winkler, R.; Rieder, A.
2014. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000039447  

Defect Classification on Specular Surfaces Using Wavelets
Hahn, A.; Ziebarth, M.; Heizmann, M.; Rieder, A.
2013. Scale Space and Variational Methods in Computer Vision - 4th International Conference (SSVM’13), Schloss Seggau, Leibnitz, Austria, June 2-6, 2013 - Proceedings. Ed.: A. Kuijper, 501–512, Springer-Verlag. doi:10.1007/978-3-642-38267-3_42 

On the Linearization of Operators Related to the Full Waveform Inversion in Seismology
Kirsch, A.; Rieder, A.
2013. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000035943  

A Kaczmarz Version of the REGINN-Landweber Iteration for Ill-Posed Problems in Banach Spaces
Margotti, F.; Rieder, A.; Leitao, A.
2013. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000035942  

Adaptive Wavelet Collocation Method for Simulation of Time Dependent Maxwell’s Equations
Li, H.; Hiremath, K.; Rieder, A.; Freude, W.
2012. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000028340  

The Approximate Inverse in Action IV: Semi-Discrete Equations in a Banach Space Setting
Schuster, T.; Rieder, A.; Schöpfer, F.
2012. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000028334  

Local Inversion Of The Sonar Transform Regularized By The Approximate Inverse
Quinto, E. T.; Rieder, A.; Schuster, T.
2010. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000024895  

Towards a general convergence theory for inexact Newton Regularizations
Lechleiter, A.; Rieder, A.
2009. Universität Karlsruhe (TH). doi:10.5445/IR/1000010482  

Shape from Specular Reflection and Optical Flow
Beyerer, J.; Lellmann, J.; Balzer, J.; Rieder, A.
2008. International Journal of Computer Vision, 80 (2), 226–241 

Tangential cone condition and other open problems in electrical impedance tomography
Rieder, A.; Lechleiter, A.
2008. Vortrag beim Workshop Hybrid Imaging, Januar 2008, Obergurgl. Folien, 58 S., Obergurgl  

Shape from specular reflections and optical flow
Rieder, A.; Lellman, J.; Balzer J.; Beyerer, J.
2008. International Journal of Computer Vision, 80 (2), 226–241  

Newton regularization for impedance tomography: convergence by local injectivity
Rieder, A.; Lechleiter, A.
2008. Inverse Problems, 24 (6), 065009/1–18 

Tangential cone conditon for electrical impedance tomography
Rieder, A.; Lechleiter, A.
2007. Oberwolfach Reports, 4 (1), 719–721 

Optimality of the fully discrete filtered backprojection algorithm for tomographic inversion
Rieder, A.; Schneck, A.
2007. Numerische Mathematik, 108 (1), 151–175  

Newton regularizations for impedance tomography. Covergence by local injectivity
Lechleiter, A.; Rieder, A.
2007. doi:10.5445/IR/1000008734  

Shape from Specular Reflection and Optical Flow
Lellmann, J.; Balzer, J.; Rieder, A.; Beyerer, J.
2007. doi:10.5445/IR/1000007856  

A convergence analysis of the Newton-Type Regularization CG-Reginn with application to impedance tomography
Lechleiter, A.; Rieder, A.
2007. doi:10.5445/IR/1000007855  

Runge-Kutta integrators yield optimal regularization schemes
Rieder, A.
2006. Joint Mathematics Meeting of the AMS and MAA, Januar 2005, Atlanta, GA. Folien, 21 S., Atlanta  

Optimality of the fully discrete filtered backprojection algorithm in 2D
Rieder, A.; Schneck, A.
2006. Mathematical Methods in Tomography. Organized by A.K. Louis, 2102–2104, Oberwolfach  

Newton-CG for nonlinear inverse problems
Rieder, A.
2006. Symposium on Inverse Problems, Sept. 28th, 2006, Chemnitz. Folien, 22 S., Chemnitz  

Optimality of the fully discrete filtered backprojection algorithm in 2D
Rieder, A.; Schneck, A.
2006. Oberwolfach Reports, 3 (3), 2101 - 2104 

Newton regularizations for impedance tomography: a numerical study
Rieder, A.; Lechleiter, A.
2006. Inverse Problems, 22 (6), 1967–1987  

Optimality of the fully discrete filtered backprojection algorithm for tomographic inversion
Rieder, A.; Schneck, A.
2006. Universität Karlsruhe (TH). doi:10.5445/IR/1000005033  

Newton regularization for impedance tomography: a numerical study
Rieder, A.; Lechleiter, A.
2006. doi:10.5445/IR/1000004540  

Optimal coating of laser mirrors for the generation of ultrashort laser pulses
Rieder, A.; Brunk, J.; Morgner, U.
2005. PAMM - Proceedings in applied mathematics and mechanics, 5, 643–644  

Runge-Kutta integrators yield optimal regularization schemes
Rieder, A.
2005. Inverse Problems, 21 (2), 453–471  

Inexact Newton regularization using conjugate gradients as inner iteration
Rieder, A.
2005. SIAM Journal on Numerical Analysis, 73 (2), 604–622  

An overview on mathematical methods in tomography
Rieder, A.
2004. IRMA, Universite Louis Pasteur, Mai 2004, Strasbourg. Folien, 25 S., Strasbourg  

The approximate inverse in action III: 3D-Doppler tomography
Rieder, A.; Schuster, T.
2004. Numerische Mathematik, 97 (2), 353–378  

Inexact Newton regularization using conjugate gradients as inner iteration
Rieder, A.
2004. Universität Karlsruhe (TH) 

Runge-Kutta integrators yield optimal regularization schemes
Rieder, A.
2004. Universität Karlsruhe (TH) 

Semi-diskrete inverse Probleme: Die Approximative Inverse
Rieder, A.
2003. AG Inverse Probleme, Juli 2003, Fakultät für Mathematik, Universität Karlsruhe. Folien, 14 S., Universität Karlsruhe (TH)  

Keine Probleme mit Inversen Problemen : eine Einführung in ihre stabile Lösung
Rieder, A.
2003. Vieweg Verlag 

The approximate inverse in action II: convergence and stability
Rieder, A.; Schuster, T.
2003. Mathematics of Computation, 72 (243), 1399–1415 

The semi-discrete filtered backprojection algorithm is optimal for tomographic inversion
Rieder, A.; Faridani, A.
2003. SIAM Journal on Numerical Analysis, 41 (3), 869–892  

The semi-discrete filtered backprojection algorithm is optimal for tomographic inversion
Rieder, A.; Faridani, A.
2002. Karlsruhe 2002. (Preprint. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, Universität Karlsruhe. 2002,6.) 

Adaptive multiresolution split-step wavelet collocation method for nonlinear optical pulse propagation
Kremp, T.; Killi, A.; Rieder, A.; Freude, W.
2002. Technical digest. Conference on Lasers and Electro-Optics [CLEO 2002], 533, Optica Publishing Group (OSA) 

The approximate inverse in action III: 3D-Doppler tomography
Rieder, A.; Schuster, T.
2002. Karlsruhe 2002. (Preprint. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, Universität Karlsruhe. 2002,15.) 

Split-step wavelet collocation method for nonlinear optical pulse propagation
Kremp, T.; Killi, A.; Rieder, A.; Freude, W.
2002. IEICE Transactions on Electronics, 85 (3), 534–543 

Classification of endocardial electrograms using adapted wavelet packets and neural networks
Strauss, D.; Jung, J.; Rieder, A.; Manoli, Y.
2001. Annals of biomedical engineering, 29 (6), 483–492  

A promising approach to morphological endocardial signal discrimination: adapted multiresolution signal decompositions
Strauss, D.; Sinnwell, T.; Rieder, A.; Manoli, Y.; Jung, J.
2001. Applied signal processing, 6 (4), 182–193 

How to scale reconstruction filters
Rieder, A.
2001. ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, 81 (3 Suppl), S621 - S622 

On filter design principles in 2D computerized tomography
Rieder, A.
2001. Radon transforms and tomography. Ed.: E.T. Quinto, 207–226, American Mathematical Soc 

On convergence rates of inexact Newton regularizations
Rieder, A.
2001. Numerische Mathematik, 88 (2), 347–365  

Split-step wavelet collocation method for nonlinear optical pulse propagation
Kremp, T.; Killi, A.; Rieder, A.; Freude, W.
2001. Universität Karlsruhe (TH) 

The approximate inverse in action II: convergence and stability
Rieder, A.; Schuster, T.
2001. Karlsruhe 2001. (Preprint. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, Universität Karlsruhe. 2001,15.) 

Evaluating the reconstruction limits and the effect of modeling errors in noninvasive cardiac source imaging
Skipa, O.; Holtrop, N.; Werner, C.; Sachse, F.; Rieder, A.; Doessel, O.
2001. Biomedizinische Technik, 46 (2), 88–90 

Das inverse Problem der Elektrokardiographie - Rekonstruktion realistischer Qellverteilungen
Holtrop, N.; Skipa, O.; Werner, C.; Sachse, F.; Dössel, O.; Rieder, A.
2001. Biomedizinische Technik, 46 (1), 508–509 

A unified convergence theory for the iterative regularization of nonlinear ill-posed problems
Rieder, A.
2000. ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, 80 (Suppl. 1), S245 - S248 

The recognition of antegrade and retrograde atrial activation patterns using hybrid wavelet-neural network schemes
Rieder, A.; Strauß, D.; Jung, J.
2000. Computers in Cardiology 2000, 545–548, Institute of Electrical and Electronics Engineers (IEEE)  

A promising approach to morphological endocardial signal discriminations: adapted multiresolution signal decompositions
Strauss, D.; Sinnwell, T.; Rieder, A.; Manoli, Y.; Jung, J.
2000. Karlsruhe 2000. (Preprint. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, Universität Karlsruhe. 2000,2.) 

Classification of endocardial electrograms using adapted wavelet packets and neural networks
Strauss, D.; Jung, J.; Rieder, A.; Manoli, Y.
2000. Karlsruhe 2000. (Preprint. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, Universität Karlsruhe. 2000,5.) 

Embedding and a priori wavelet-adaptivity for Dirichlet problems
Rieder, A.
2000. Mathematical Modelling and Numerical Analysis, 34 (6), 1189–1202  

Approximate inverse in action with an application to 2D-computerized tomography
Rieder, A.; Schuster, T.
2000. SIAM Journal on Numerical Analysis, 37 (6), 1909–1929  

Approximate inverse meets local tomography
Rieder, A.; Dietz, R.; Schuster, T.
2000. Mathematical Methods in the Applied Sciences, 23 (15), 1373–1387  

Principles of reconstruction filter design in 2D-computerized tomography
Rieder, A.
2000. Universität Karlsruhe (TH) 

Multilevel methods based on wavelet decompositions
Rieder, A.
1999. East West Journal of Numerical Mathematics, 2 (4), 313–330 

Embedding and a-priori wavelet-adaptivity for Dirichlet problems
Rieder, A.
1999. Universität Karlsruhe (TH) 

Approximate inverse meets local tomography
Rieder, A.; Dietz, R.; Schuster, T.
1999. Karlsruhe 1999. (Preprint. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung. 1999,6.) 

On the regularization of nonlinear ill-posed problems via inexact Newton interactions
Rieder, A.
1999. Inverse problems, 15 (1), 309–327  

Wavelets : theory and applications
Rieder, A.; Louis, A. K.
1998. (P. Maaß, Hrsg.), John Wiley and Sons 

Wavelets : Theorie und Anwendungen
Rieder, A.; Louis, A. K.
1998. (P. Maaß, Hrsg.), Teubner 

A domain embedding method for Dirichlet problems in arbitrary space dimension
Rieder, A.
1998. Mathematical modelling and numerical analysis (M2AN), 32 (4), 405–431 

A painless and direct way from integral to discrete fast wavelet transforms
Rieder, A.
1998. ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, 8 (11), 781–785  

Wavelet-Methoden für schlecht-gestellte und elliptische Probleme
Rieder, A.
1997. Martin-Luther-Universität Halle-Wittenberg 

Wavelet-accelerated Tikhonov-Phillips regularization with applications
Rieder, A.; Maaß, P.
1997. Inverse Problems in Medical Imaging and Nondestructive Testing. Ed.: H. W. Engl, 134–159, Springer-Verlag 

On embedding techniques for 2nd-order elliptic problems
Rieder, A.
1997. Computational science for the 21st century. Ed.: M-O. Bristeau, 179–188, John Wiley and Sons 

Wavelet multilevel solvers for linear ill-posed problems stabilized by Tikhonov regularization
Rieder, A.
1997. Multiscale wavelet methods for partial differential equations. Ed.: W. Dahmen, 347–380, Academic Press 

A wavelet multilevel method for ill-posed problems stabilized by Tikhonov regularization,
Rieder, A.
1997. Numerische Mathematik, 75 (4), 501–522  

Additive and multiplicative Schwarz algorithms for linear ill-posed problems
Rieder, A.
1996. ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, 76 (Suppl. 1), 197–190 

A wavelet multigrid preconditioner for Dirichlet boundary-value problems in general domains
Rieder, A.; Glowinski, R.; Wells Jr., R. O.; Zhou, X.
1996. Mathematical modelling and numerical analysis (M2AN), 30 (6), 711–729 

A preconditioned CG-method for wavelet-Galerkin discretizations of elliptic problems
Rieder, A.; Glowinski, R.; Wells Jr., R. O.; Zhou, X.
1995. ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, 75, 683–684 

On the wavelet frequency decomposition method
Rieder, A.; Wells Jr., R. O.; Zhou, X.
1994. Wavelet Applications. Ed.: H. H. Szu, 14–18, Bellingham 

The high frequency behaviour of continuous wavelet transforms
Rieder, A.
1994. Applicable Analysis, 52 (1-4), 125–141 

A wavelet approach to robust multilevel solvers for anisotropic elliptic problems
Rieder, A.; Wells Jr., R. O.; Zhou, X.
1994. Applied and Computational Harmonic Analysis, 1 (4), 355–367 

On the robustness of the damped V-cycle of the wavelet frequency decomposition multigrid method
Rieder, A.; Zhou, X.
1994. Computing, 53 (2), 155–171  

Wavelet analysis of auscultory blood pressure signals
Rieder, A.; Hammer, H.; Maaß, P.; Meyer, J.-U.
1993. Proceedings of the Second European Conference on Engineering and Medicine. Ed.: J. E. W. Beneken, 322–323, Elsevier 

The wavelet transform on Sobolev spaces and its approximation properties
Rieder, A.
1991. Numerische Mathematik, 58 (1), 875–894  

Approximationseigenschaften der Wavelet-Transformation
Rieder, A.
1990. ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, 70 (6), T577 - T578 

Incomplete data problems in X-ray computerized tomography
Rieder, A.; Louis, A. K.
1989. Numerische Mathematik, 56 (4), 371 383