Bernd Hofmann

Mathematical Physics · 2006–2018

A researcher in the Science corpus: 8 papers; trusts 16 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 29 citations into it; #2,972 of 8,562 by trust here, #1,725 by citations
• Computational Theory and Mathematics — 14 citations into it; #5,242 of 12,182 by trust here, #3,924 by citations
• Computational Mechanics — 13 citations into it; #4,769 of 10,001 by trust here, #4,749 by citations
• Numerical Analysis — 11 citations into it
• Biomedical Engineering — 8 citations into it; #5,227 of 10,734 by trust here, #9,794 by citations
• Statistics and Probability — 6 citations into it
• Applied Mathematics — 5 citations into it
• Computer Vision and Pattern Recognition — 5 citations into it

Whom Bernd Hofmann trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Peter Mathé
2. Barbara Kaltenbacher
3. Thorsten Hohage
4. Elena Resmerita
5. S. Pereverzev
6. Otmar Scherzer
7. Felipe Alvarez
8. Frank Schöpfer
9. Andreas Neubauer
10. Masahiro Yamamoto

Who trusts Bernd Hofmann overall

1. Bangti Jin
2. Kristian Bredies
3. Peter Maass
4. Otmar Scherzer
5. Gerd Wachsmuth
6. Dirk A. Lorenz
7. Radu Ioan Bot
8. Markus Grasmair
9. Masahiro Yamamoto
10. Daniel Wachsmuth

Papers from Bernd Hofmann's perspective

Ordered by how strongly the researchers Bernd Hofmann trusts endorse each paper. Same corpus, a different order for every researcher.

1. Variational Methods in Imaging (Applied Mathematical Sciences)
2. Regularization of Inverse Problems
3. Regularization of ill-posed problems in Banach spaces: convergence rates
4. Regularization of exponentially ill-posed problems
5. Identifying the volatility of underlying assets from option prices
6. A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
7. Iterative Regularization Methods for Nonlinear Ill-Posed Problems (Radon Series on Computational and Applied Mathematics)
8. Discretization strategy for linear ill-posed problems in variable Hilbert scales
9. Iterative Methods for Approximate Solution of Inverse Problems
10. Regularization Methods in Banach Spaces (Radon Series on Computational and Applied Mathematics)

Their papers

• A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators (2007) — 366 citations
• Regularization Methods in Banach Spaces (2012) — 399 citations
• On the interplay of source conditions and variational inequalities for nonlinear ill-posed problems (2010) — 63 citations
• Approximate source conditions in Tikhonov–Phillips regularization and consequences for inverse problems with multiplication operators (2006) — 68 citations
• On the second-order asymptotical regularization of linear ill-posed inverse problems (2018) — 66 citations
• Regularization properties of the sequential discrepancy principle for Tikhonov regularization in Banach spaces (2014) — 55 citations
• An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems (2010) — 58 citations
• Convergence rates for Tikhonov regularization from different kinds of smoothness conditions (2006) — 61 citations