RESEARCHER PROFILE

Robert Plato

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R

University of Siegen

Mathematical and Computational MethodsMatrix Theory and AlgorithmsMathematical functions and polynomialsNumerical methods in inverse problemsNumerical methods for differential equations

Robert Plato works in Mathematical and Computational Methods, Matrix Theory and Algorithms, Mathematical functions and polynomials, Numerical methods in inverse problems, Numerical methods for differential equations. Recorded institutional associations include University of Siegen.

205Publications
676Citations
14H-index

ORCID

Inclusion identifies researchers whose recorded research contributions may inform their university’s understanding of its research community. It does not rank individual research quality or establish current employment.

Selected research works

Up to 100 highly cited works; DOI links open the original research. Counts reflect the collected record, not real-time citation totals.

  1. On the regularization of projection methods for solving III-posed problems

    1990 · 158 citations

  2. Optimal algorithms for linear ill-posed problems yield regularization methods

    1990 · 64 citations

  3. Concise Numerical Mathematics

    2003 · 56 citations

  4. The instability of some gradient methods for ill-posed problems

    1990 · 47 citations

  5. Numerische Mathematik kompakt

    2010 · 44 citations

  6. On the discrepancy principle for iterative and parametric methods to solve linear ill-posed equations

    1996 · 29 citations

  7. The Galerkin scheme for Lavrentiev’sm-times iterated method to solve linear accretive Volterra integral equations of the first kind

    1997 · 24 citations

  8. Resolvent Estimates for Abel Integral Operators and the Regularization of Associated First Kind Integral Equations

    1997 · 22 citations

  9. On ill-posedness concepts, stable solvability and saturation

    2017 · 22 citations

  10. On pseudo—optimal parameter choices and stopping rules for regularization methods in banach spaces∗

    1996 · 20 citations

  11. The conjugate gradient method for linear ill-posed problems with operator perturbations

    1999 · 17 citations

  12. Optimal rates for Lavrentiev regularization with adjoint source conditions

    2016 · 17 citations

  13. Fractional Multistep Methods for Weakly Singular Volterra Integral Equations of the First Kind with Perturbed Data

    2005 · 16 citations

  14. The regularizing properties of the composite trapezoidal method for weakly singular Volterra integral equations of the first kind

    2011 · 15 citations

  15. Convergence results and low-order rates for nonlinear Tikhonov regularization with oversmoothing penalty term. ETNA - Electronic Transactions on Numerical Analysis

    2020 · 14 citations

  16. Numerische Mathematik kompakt

    2000 · 13 citations

  17. The Method of Conjugate Residuals for Solving the Galerkin Equations Associated with Symmetric Positive Semidefinite Ill-Posed Problems

    1998 · 9 citations

  18. Lavrentiev’s Method for Linear Volterra Integral Equations of the First Kind, with Applications to the Non-Destructive Testing of Optical-Fibre Preforms

    1997 · 8 citations

  19. Converse Results, Saturation and Quasi-optimality for Lavrentiev Regularization of Accretive Problems

    2017 · 8 citations

  20. On a minimax equality for seminorms

    1995 · 7 citations

  21. The Fast Solution of Periodic Integral and Pseudodifferential Equations by Gmres

    2001 · 5 citations

  22. Nonlinear Tikhonov Regularization in Hilbert Scales with Oversmoothing Penalty: Inspecting Balancing Principles

    2021 · 5 citations

  23. On the fast and fully discretized solution¶of integral and pseudo-differential equations¶on smooth curves

    2001 · 4 citations

  24. Interpolation by polynomials

    2003 · 4 citations

  25. Numerische Mathematik kompakt

    2004 · 4 citations

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