World's Best Scientists 2026 revealed!
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Engineering and Technology
Austria
2026
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Mathematics
Austria
2026

D-Index & Metrics

Mathematics

D-Index
73
Citations
22928
World Ranking
231
National Ranking
2

Engineering and Technology

D-Index
73
Citations
23001
World Ranking
847
National Ranking
2

Research.com Recognitions

  • 2026 - Research.com Engineering and Technology in Austria Leader Award
  • 2026 - Research.com Mathematics in Austria Leader Award
  • 2025 - Research.com Engineering and Technology in Austria Leader Award
  • 2025 - Research.com Mathematics in Austria Leader Award
  • 2023 - Research.com Engineering and Technology in Austria Leader Award
  • 2023 - Research.com Mathematics in Austria Leader Award
  • 2022 - Research.com Engineering and Technology in Austria Leader Award
  • 2017 - SIAM Fellow For contributions to inverse problems, approximation to infinite dimensional control systems, and computational methods.

Overview

Karl Kunisch is affiliated with the University of Graz in Austria. Their research spans several interconnected fields including Engineering, Computer Science, and Mathematics, with a significant focus on Control and Systems Engineering, Computational Theory and Mathematics, and Applied Mathematics.

Their work explores topics such as:

  • Stability and Controllability of Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Optimization and Variational Analysis
  • Model Reduction and Neural Networks
  • Nonlinear Partial Differential Equations
  • Advanced Numerical Methods in Computational Mathematics
  • Control Systems and Identification

Karl Kunisch has co-authored extensively with several frequent collaborators, including Eduardo Casas, Sérgio S. Rodrigues, Behzad Azmi, Philipp A. Guth, and Tobias Breiten.

The scientist has published numerous papers in well-established venues such as arXiv (Cornell University), Applied Mathematics & Optimization, SIAM Journal on Control and Optimization, ESAIM Control Optimisation and Calculus of Variations, and Mathematical Control and Related Fields.

Among recent papers authored or co-authored by Karl Kunisch are:

  • "Variational Networks: An Optimal Control Approach to Early Stopping Variational Methods for Image Restoration" (2020, Journal of Mathematical Imaging and Vision)
  • "Optimal Feedback Law Recovery by Gradient-Augmented Sparse Polynomial Regression" (2020, arXiv (Cornell University))
  • "Total Deep Variation: A Stable Regularization Method for Inverse Problems" (2021, IEEE Transactions on Pattern Analysis and Machine Intelligence)
  • "Analysis of the Barzilai-Borwein Step-Sizes for Problems in Hilbert Spaces" (2020, Journal of Optimization Theory and Applications)
  • "Tensor Decomposition Methods for High-dimensional Hamilton--Jacobi--Bellman Equations" (2021, SIAM Journal on Scientific Computing)

Karl Kunisch received the SIAM Fellow award in 2017 for contributions related to inverse problems, approximation to infinite dimensional control systems, and computational methods.

Best Publications

  • Total Generalized Variation

    Kristian Bredies;Karl Kunisch;Thomas Pock

  • The Primal-Dual Active Set Strategy as a Semismooth Newton Method

    M. Hintermüller;K. Ito;K. Kunisch

  • Estimation Techniques for Distributed Parameter Systems

    Harvey Thomas Banks;K. Kunisch

  • Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics

    K. Kunisch;S. Volkwein

  • Lagrange multiplier approach to variational problems and applications

    Kazufumi Ito;Karl Kunisch

  • Galerkin proper orthogonal decomposition methods for parabolic problems

    Karl Kunisch;Stefan Volkwein

  • Convergence rates for Tikhonov regularisation of non-linear ill-posed problems

    H W Engl;K Kunisch;A Neubauer

  • Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition

    K. Kunisch;S. Volkwein

  • Primal-Dual Strategy for Constrained Optimal Control Problems

    Maïtine Bergounioux;Kazufumi Ito;Karl Kunisch

  • Augemented Lagrangian Techniques for Elliptic State Constrained Optimal Control Problems

    Maitine Bergounioux;Karl Kunisch

  • The linear regulator problem for parabolic systems

    H. T. Banks;K. Kunisch

  • Level-set function approach to an inverse interface problem

    Kazufumi Ito;Karl Kunisch;Zhilin Li

  • Second Order Methods for Optimal Control of Time-Dependent Fluid Flow

    Michael Hinze;Karl Kunisch

  • A Bilevel Optimization Approach for Parameter Learning in Variational Models

    Karl Kunisch;Thomas Pock

  • Proper orthogonal decomposition for optimality systems

    Karl Kunisch;Stefan Volkwein

  • L2-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives

    Gabriella Di Blasio;Karl Kunisch;Eugenio Sinestrari

  • Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems

    O. Scherzer;H. W. Engl;K. Kunisch

  • HJB-POD-Based Feedback Design for the Optimal Control of Evolution Problems

    Karl Kunisch;Stefan Volkwein;Lei Xie

  • Primal-Dual Strategy for State-Constrained Optimal Control Problems

    Maítine Bergounioux;Karl Kunisch

  • The augmented lagrangian method for parameter estimation in elliptic systems

    Kazufumi Ito;Karl Kunisch

Frequent Co-Authors

Kazufumi Ito
Kazufumi Ito North Carolina State University
Michael Hintermüller
Michael Hintermüller Weierstrass Institute for Applied Analysis and Stochastics
Eduardo Casas
Eduardo Casas University of Cantabria
Gernot Plank
Gernot Plank Medical University of Graz
Boris Vexler
Boris Vexler Technical University of Munich
Thomas Pock
Thomas Pock Graz University of Technology
Stefan Volkwein
Stefan Volkwein University of Konstanz
Harvey Thomas Banks
Harvey Thomas Banks North Carolina State University
Michael Hinze
Michael Hinze University of Koblenz and Landau
Günter Leugering
Günter Leugering University of Erlangen-Nuremberg

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