Former Member

Dr. Shuai Lu

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Peer Reviewed Journal Publication
  • Wu, Xinming; Kügler, Philipp; Lu, Shuai (2014, online: 2014) Identification of the exchange coefficient from indirect data for a coupled continuum pipe-flow model. Chinese Annals of Mathematics, Series B, Bd. 35 (3), S. 483-500.
  • Lu, Shuai; Pereverzev, Sergei V. (2011) Multi-parameter regularization and its numerical realization. Numerische Mathematik, Bd. 118 (1), S. 1-31. (link)
  • (2010) On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales. Journal of Integral Equations and Applications, Bd. 22 (3), S. 483-517. (link)
  • Yi Heng, Shuai Lu, Adel Mhamdi and Sergei V Pereverzyev (2010) Model functions in the modified L-curve method—case study: the heat flux reconstruction in pool boiling. Inverse Problems, Bd. 26 (5), S. 13pp. (link)
  • Shuai Lu, Sergei V. Pereverzyev, and Ulrich Tautenhahn (2009) Regularized Total Least Squares: Computational Aspects and Error Bounds. SIAM Journal on Matrix Analysis and Applications, Bd. 31 (3), S. 918-941. (link)
  • Pereverzyev, Shuai Lu and Sergei V (2009) Sparse recovery by the standard Tikhonov method. Numerische Mathematik, Bd. 112 (3), S. 403-424. (link)
  • S. Lu, S. Pereverzyev, R. Ramlau (2007) An analysis of Tikhonov regularization for nonlinear ill-posed problems under general smoothness assumptions. Inverse Problems (23), S. 217-230. (link)
  • Lazarov, R.D.; Lu, S.; Pereverzyev, S. (2007) On the balancing principle for some problems of Numerical Analysis. Numerische Mathematik, Bd. 106, S. 659-689. (link)
  • S. Lu, Y. Wang (2006) First and Second Order Numerical Differentiation with Tikhonov Regularization. Frontiers of Mathematics in China, Bd. 1, S. 354-367.
  • S. Lu, S. Pereverzyev (2006) Numerical differentiation from a view point of Regularization Theory. Mathematics of Computations, Bd. 75, S. 1853-1870. (link)
  • Z. Cai, D. Chen, S. Lu (2005) Reconstruction of a fractal rough surface. Physica D: Nonlinear Phenomena, Bd. 213, S. 25-30. (link)

Book/Monograph
  • Pereverzyev, Sergiy V.; Lu, Shuai (2013, online: 2013) Regularization Theory for Ill-Posed Problems. Selected Topics. In Reihe: Inverse and Ill-Posed Problems Series, hrsg. v. Kabanikhin, Sergei; Berlin, Boston: DeGruyter (287 Seiten). (link)
  • Sergei Pereverzyev, Shuai Lu (2010) Multiparameter Regularization in Downward Continuation of Satellite Data., hrsg. v. Willi Freeden, M. Zuhair Nashed, Thomas Sonar; Berlin: Springer (21 Seiten). (link)

Conference Contribution: Publication in Proceedings
  • Shuai Lu, Sergei V. Pereverzyev (2008) Sparsity reconstruction by means of the standard Tikhonov regularization. In: Bonnet, Marc (Hrsg.) (6TH INTERNATIONAL CONFERENCE ON INVERSE PROBLEMS IN ENGINEERING: THEORY AND PRACTICE); Paris: IOP Publishing Limited, S. 012066. (link)
  • S. Lu, S.V.Pereveryzev (2008) Sparsity reconstruction by means of the standard Tikhonov regularization. (6th International Conference on Inverse Problems in Engineering: Theory and Practice ICIPE (Dourdan, 15.06.2008)).

Editorship
  • (2008) Dual regularized total least squares and multi-parameter regularization. In Reihe: Dedicated to Professor G. Vainikko on the occasion of his 70th birthday. (link)

Research Report
  • Lu, Shuai; Pereverzyev, Sergei V; Shao, Yuanyuan; Tautenhahn, Ulrich (2010) On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales. Bericht-Nr. 2009-19;. (link)
  • Heng, Yi; Lu, Shuai; Mhamdi, Adel; Pereverzyev, Sergei V. (2009) Model function approach in the modified L-curve method for the choice of regularization parameter. Bericht-Nr. 2009-08;. (link)
  • Lu, Shuai; Pereverzyev, Sergei V (2009) Multi-parameter regularization and its numerical realization. Bericht-Nr. 2009-11;. (link)
  • Shuai Lu, Sergei V. Pereverzyev (2008) Sparsity reconstruction by the standard Tikhonov method. Bericht-Nr. 2008-17;. (link)
  • Shuai Lu, Sergei V. Pereverzyev, Ulrich Tautenhahn (2008) A model function method in total least squares. Bericht-Nr. 2008-18;. (link)