Publications of Former Research Groups

Publications NDS group

Journal Article (34)

  1. Journal Article
    Benner, P.; Onwunta, A.; Stoll, M.: A Low-Rank Inexact Newton-Krylov Method for Stochastic Eigenvalue Problems. Computational Methods in Applied Mathematics 19 (1), pp. 5 - 22 (2019)
  2. Journal Article
    Benner, P.; Qiu, Y.; Stoll, M.: Low-Rank Eigenvector Compression of Posterior Covariance Matrices for Linear Gaussian Inverse Problems. SIAM/ASA Journal on Uncertainty Quantification 6 (2), pp. 965 - 989 (2018)
  3. Journal Article
    Bosch, J.; Kahle, C.; Stoll, M.: Preconditioning of a Coupled Cahn-Hilliard Navier-Stokes system. Communications in Computational Physics 23, pp. 603 - 628 (2018)
  4. Journal Article
    Bosch, J.; Klamt, S.; Stoll, M.: Generalizing diffuse interface methods on graphs: non-smooth potentials and hypergraphs. SIAM Journal on Applied Mathematics 78 (3), pp. 1350 - 1377 (2018)
  5. Journal Article
    Yücel, H.; Stoll, M.; Benner, P.: Adaptive Discontinuous Galerkin Approximation of Optimal Control Problems Governed by Transient Convection-Diffusion Equations. Electronic Transactions on Numerical Analysis 48, pp. 407 - 434 (2018)
  6. Journal Article
    Zhao, W.; Hon, Y.-C.; Stoll, M.: Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems. Computers & Mathematics with Applications 75 (5), pp. 1685 - 1704 (2018)
  7. Journal Article
    Zhao, W.; Hon, Y. C.; Stoll, M.: Numerical Simulations of Nonlocal Phase-Field and Hyperbolic Nonlocal Phase-Field Models via Localized Radial Basis Functions-Based Pseudo-Spectral Method (LRBF-PSM). Applied Mathematics and Computation 337, pp. 514 - 534 (2018)
  8. Journal Article
    Dolgov, S.; Stoll, M.: Low-Rank Solution to an Optimization Problem Constrained by the Navier-Stokes Equations. SIAM Journal on Scientific Computing 39 (1), pp. A255 - A280 (2017)
  9. Journal Article
    Porcelli, M.; Simoncini, V.; Stoll, M.: Preconditioning PDE-constrained optimization with L1-sparsity and control constraints. Computers & Mathematics with Applications 74 (5), pp. 1059 - 1075 (2017)
  10. Journal Article
    Zhao, W.; Stoll, M.: Stability on interpolation of scattered data via kernels. Neural, Parallel and Scientific Computations 25, pp. 45 - 60 (2017)
  11. Journal Article
    Barker, A. T.; Rees, T.; Stoll, M.: A fast solver for an H1 regularized PDE-constrained optimization problem. Communications in Computational Physics 19 (1), pp. 143 - 167 (2016)
  12. Journal Article
    Benner, P.; Onwunta, A.; Stoll, M.: Block-diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs. SIAM Journal on Matrix Analysis and Applications 37 (2), pp. 491 - 518 (2016)
  13. Journal Article
    Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Low-Rank Solvers for Unsteady Stokes-Brinkman Optimal Control Problem with Random Data. Computer Methods in Applied Mechanics and Engineering 304, pp. 26 - 54 (2016)
  14. Journal Article
    Breiten, T.; Simoncini, V.; Stoll, M.: Low-Rank Solvers for Fractional Differential Equations. Electronic Transactions on Numerical Analysis 45, pp. 107 - 132 (2016)
  15. Journal Article
    Dolgov, S.; Pearson, J. W.; Savostyanov, D. V.; Stoll, M.: Fast tensor product solvers for optimization problems with fractional differential equations as constraints. Applied Mathematics and Computation 273, pp. 604 - 623 (2016)
  16. Journal Article
    Stoll, M.; Pearson, J. W.; Maini, P. K.: Fast solvers for optimal control problems from pattern formation. Journal of Computational Physics 304, pp. 27 - 45 (2016)
  17. Journal Article
    Barker, A. T.; Stoll, M.: Domain decomposition in time for PDE-constrained optimization. Computer Physics Communications 197, pp. 136 - 143 (2015)
  18. Journal Article
    Benner, P.; Onwunta, A.; Stoll, M.: Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients. SIAM/ASA Journal on Uncertainty Quantification 3 (1), pp. 622 - 649 (2015)
  19. Journal Article
    Bosch, J.; Stoll, M.: A fractional inpainting model based on the vector-valued Cahn–Hilliard equation. SIAM Journal on Imaging Sciences 8 (4), pp. 2352 - 2382 (2015)
  20. Journal Article
    Dolgov, S. V.; Tyrtyshnikov, E. E.: On evolution of solution times for the chemical master equation of the enzymatic futile cycle. Russian Journal of Numerical Analysis and Mathematical Modelling 30 (1), pp. 37 - 42 (2015)
  21. Journal Article
    Dolgov, S.; Khoromskij, B. N.; Litvinenko, A.; Matthies, H. G.: Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format. SIAM/ASA Journal on Uncertainty Quantification 3 (1), pp. 1109 - 1135 (2015)
  22. Journal Article
    Stoll, M.; Breiten, T.: A low-rank in time approach to PDE-constrained optimization. SIAM Journal on Scientific Computing 37 (1), pp. B1 - B29 (2015)
  23. Journal Article
    Stoll, M.; Bosch, J.: Preconditioning for vector-valued Cahn-Hilliard equations. SIAM Journal on Scientific Computing 37 (5), pp. S216 - S243 (2015)
  24. Journal Article
    Yücel, H.; Stoll, M.; Benner, P.: A Discontinuous Galerkin Method for Optimal Control Problems Governed by a System of Convection-Diffusion PDEs with Nonlinear Reaction Terms. Computers and Mathematics with Applications 70 (10), pp. 2414 - 2431 (2015)
  25. Journal Article
    Barker, A. T.: A minimal communication approach to parallel time integration. International Journal of Computer Mathematics 91 (3), pp. 601 - 615 (2014)
  26. Journal Article
    Barker, A. T.; Brenner, S. C.: A mixed finite element method for the stokes equations based on a weakly over-penalized symmetric interior penalty approach. Journal of Scientific Computing 58 (2), pp. 290 - 307 (2014)
  27. Journal Article
    Bosch, J.; Stoll, M.; Benner, P.: Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements. Journal of Computational Physics 262, pp. 38 - 57 (2014)
  28. Journal Article
    Bosch, J.; Kay, D.; Stoll, M.; Wathen, A. J.: Fast Solvers for Cahn-Hilliard Inpainting. SIAM Journal on Imaging Sciences 7 (1), pp. 67 - 97 (2014)
  29. Journal Article
    Stoll, M.; Pearson, J. W.; Wathen, A. J.: Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function. Numerical Linear Algebra with Applications 21 (1), pp. 81 - 97 (2014)
  30. Journal Article
    Stoll, M.: One-shot solution of a time-dependent time-periodic PDE-constrained optimization problem. IMA Journal of Numerical Analysis 34 (4), pp. 1554 - 1577 (2014)
  31. Journal Article
    Benner, P.; Saak, J.; Stoll, M.; Weichelt, H. K.: Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow. SIAM Journal on Scientific Computing 35 (5 - Special Section: 2012 Copper Mountain Conference), pp. S150 - S170 (2013)
  32. Journal Article
    Pearson, J. W.; Stoll, M.: Fast Iterative Solution of Reaction-Diffusion Control Problems Arising from Chemical Processes. SIAM Journal on Scientific Computing 35 (5), pp. B987 - B1009 (2013)
  33. Journal Article
    Stoll, M.; Wathen, A.: All-at-once solution of time-dependent Stokes control. Journal of Computational Physics 232 (1), pp. 498 - 515 (2013)
  34. Journal Article
    Yücel, H.; Stoll, M.; Benner, P.: Discontinuous Galerkin Finite Element Methods with Shock-Capturing for Nonlinear Convection Dominated Models. Computers and Chemical Engineering 58, pp. 278 - 287 (2013)

Book Chapter (1)

  1. Book Chapter
    Benner, P.; Saak, J.; Stoll, M.; Weichelt, H. K.: Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-Field Flow Problems. In: System Modeling and Optimization: 26th IFIP TC 7 Conference, CSMO 2013, Klagenfurt, Austria, September 9-13, 2013, Revised Selected Papers, pp. 11 - 20 (Eds. Pötzsche, C.; Heuberger , C.; Kaltenbacher, B.; Rendl, F.). Springer, Berlin Heidelberg (2014)

Conference Paper (1)

  1. Conference Paper
    Benner, P.; Stoll, M.: Optimal Control for Allen-Cahn Equations Enhanced by Model Predictive Control. 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations - CPDE 2013, Paris, France, September 25, 2013 - September 27, 2013. IFAC Proceedings Volumes 46 (26), pp. 139 - 143 (2013)

Talk (19)

  1. Talk
    Benner, P.; Onwunta, A.; Stoll, M.: Fast Solvers for Optimal Control Problems Constrained by PDEs with Uncertain Inputs. Computational Methods in Applied Mathematics (CMAM-7), Jyväskylä, Finland (2016)
  2. Talk
    Benner, P.; Onwunta, A.; Stoll, M.: Block-diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs. 87th annual conference of the International Association of Applied Mathematics and Mechanics, Braunschweig, Germany (2016)
  3. Talk
    Onwunta, A.; Benner, P.; Stoll, M.: Efficient solvers for optimal control problems constrained by PDEs with uncertain inputs. 20th Conference of the International Linear Algebra Society (ILAS), Leuven, Belgium (2016)
  4. Talk
    Onwunta, A.; Benner, P.; Stoll, M.: Efficient solvers for optimal control problems constrained by PDEs with uncertain inputs. Workshop on Direct and Inverse Problems for PDEs with Random Coefficients, Berlin, Germany (2016)
  5. Talk
    Bosch, J.; Stoll, M.: Preconditioning for various Cahn-Hilliard systems. SIAM Conference on Computational Science and Engineering, Salt Lake City, Utah, USA (2015)
  6. Talk
    Bosch, J.; Stoll, M.: Efficient Solution of Cahn-Hilliard Systems. SIAM Conference on Computational Science and Engineering, Salt Lake City, Utah, United States (2015)
  7. Talk
    Bosch, J.; Stoll, M.: Block preconditioners for Cahn-Hilliard problems. International Conference on Preconditioning Techniques for Scientific and Industrial Applications, Preconditioning, Eindhoven, The Netherlands (2015)
  8. Talk
    Bosch, J.; Kahle, C.; Stoll, M.: Preconditioning for a coupled Cahn-Hilliard Navier-Stokes system. GAMM Workshop on Applied and Numerical Linear Algebra, Magdeburg, Germany (2015)
  9. Talk
    Bosch, J.; Stoll, M.: A fractional inpainting model based on the vector-valued Cahn–Hilliard equation. In celebration of Nick Trefethen's 60th birthday, New directions in numerical computation, Oxford, United Kingdom (2015)
  10. Talk
    Bosch, J.; Stoll, M.: Fast Iterative Solvers for a Coupled Cahn-Hilliard/Navier-Stokes System. SIAM Conference on Applied Linear Algebra, Atlanta, Georgia, USA (2015)
  11. Talk
    Onwunta, A.; Stoll, M.; Benner, P.: All-at-once Approach to Optimal Control Problems Constrained by PDEs with Uncertain Inputs. SIAM Conference on Computational Science and Engineering, Salt Lake City, Utah, United States (2015)
  12. Talk
    Benner, P.; Onwunta, A.; Stoll, M.: Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients. SIAM Conference on Uncertainty Quantification, Savannah, Georgia, USA (2014)
  13. Talk
    Benner, P.; Onwunta, A.; Stoll, M.: Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients. 85th GAMM Annual Scientific Conference, Erlangen, Germany (2014)
  14. Talk
    Bosch, J.; Stoll, M.: Preconditioning for various Cahn-Hilliard systems. SPARSE DAYS 2014, Toulouse, France (2014)
 
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