non omnis moriar

Alfio Borzi - Publications


Master Thesis

  1. Sulla Applicazione Rigorosa in Fisica del Calcolo Variazionale,
    Universita' di Catania, 1988. (Supervis. G. Fonte)

  2. Fourier Spectral Methods for Soliton Equations,
    SISSA - Trieste,1990. (Supervis. A. Quarteroni)

Ph.D. Thesis

    New Aspects of Multilevel Methods and Some Applications,
    SISSA - Trieste, 1993. (Supervis. A. Lanza)

Habilitation Thesis

    Multigrid Methods for Optimality Systems, Uni Graz, 2003.


Books


    Alfio Borzì, Gabriele Ciaramella and Martin Sprengel,
    Formulation and Numerical Solution of Quantum Control Problems,
    SIAM, Philadelphia, 2017 (ISBN ISBN 978-1-611974-83-6)



    Errata and additions


    Alfio Borzì and Volker Schulz,
    Computational Optimization of Systems Governed by Partial Differential Equations,
    SIAM, Philadelphia, 2012 (ISBN 978-1-611972-04-7)




    Alfio Borzì e Melanie Wogrin, Equazioni Differenziali Ordinarie,
    Hevelius Edizioni, Benevento, 2009 (ISBN 978-88-86977-63-0)


Papers

  1. S. Roy, A. Borzì, A. Habbal, Pedestrian motion modelled by Fokker - Planck Nash games,
    Royal Society open science, 4: 170648., 2017.

  2. S. Roy, A. Annunziato, A. Borzì, C. Klingenberg, A Fokker-Planck approach to control collective motion,
    Computational Optimization and Applications, 2017.

  3. D.K. Gathungu and A. Borzì, Multigrid Solution of an Elliptic Fredholm Partial Integro-Differential Equation with a Hilbert-Schmidt Integral Operator,
    Applied Mathematics, 8 (2017).

  4. T. Breitenbach, M. Annunziato and A. Borzì, On the optimal control of a random walk with jumps and barriers,
    Methodology and Computing in Applied Probability, 2017

  5. M. Sprengel, G. Ciaramella and A. Borzì, A theoretical investigation of time-dependent Kohn-Sham equations,
    SIAM Journal on Mathematical Analysis, 2017

  6. S. Roy and A. Borzì, Numerical Investigation of a Class of Liouville Control Problems,
    Journal of Scientific Computing, 2017

  7. M. Sprengel, G. Ciaramella and A. Borzì, A COKOSNUT code for the control of the time-dependent Kohn-Sham model,
    Computer Physics Communications, 2017
    Free download until April 19, 2017

  8. Andreas Schindele and Alfio Borzì, Proximal schemes for parabolic optimal control problems with sparsity promoting cost functionals,
    International Journal of Control (2016).

  9. Beatrice Gaviraghi, Mario Annunziato, Alfio Borzì, Analysis of splitting methods for solving a partial-integro differential Fokker-Planck equation,
    Applied Mathematics and Computation, 294 (2016), 1-17.

  10. Beatrice Gaviraghi, Andreas Schindele, Mario Annunziato, Alfio Borzì, On optimal sparse-control problems governed by jump-diffusion processes,
    Applied Mathematics 7 (2016).

  11. Andreas Schindele and Alfio Borzì, Proximal Methods for Elliptic Optimal Control Problems with Sparsity Cost Functional,
    Applied Mathematics, 7 (2016), 967-992.

  12. Juri Merger and Alfio Borzì, A Lie Algebraic and Numerical Investigation of the Black-Scholes Equation with Heston Volatility Model,
    J Generalized Lie Theory Appl (2016).

  13. Alfio Borzì and Marco Caponigro, Comment: A control theoretical approach to crowd management: Comment on 'Human behaviours in evacuation crowd dynamics: From modelling to big data toward crisis management' by Nicola Bellomo et al.,
    Physics of Life Reviews, 18 (2016), 27-28.

  14. V. Ratz, T. Wech, A. Schindele, A. Dierks, A. Sauer, J. Reibetanz, A. Borzì, T. Bley, H. Koestler, Dynamic 3D MR-Defecography,
    Fortschr. Roentgenstr, 188(09)(2016), 859-863.

  15. Souvik Roy, Mario Annunziato, and Alfio Borzì, A Fokker--Planck feedback control-constrained approach for modelling crowd motion,
    Journal of Computational and Theoretical Transport, 45 (2016), 442-458.

  16. Andrea Thomann and Alfio Borzì, Stability and accuracy of a pseudospectral scheme for the Wigner function equation,
    Numerical Methods for Partial Differential Equations, 33 (2017), 62-87.

  17. Gabriele Ciaramella and Alfio Borzì, Quantum Optimal Control Problems with a Sparsity Cost Functional,
    Numerical Functional Analysis and Optimization, 37 (2016), 938-965.

  18. Juri Merger and Alfio Borzì, Dynamics identification in evolution models using radial basis functions,
    Journal of Dynamical and Control Systems (2016).

  19. J. Merger, A. Borzì, and R. Herzog, Optimal Control of a System of Reaction-Diffusion Equations Modeling the Wine Fermentation Process,
    Optimal Control, Applications and Methods, 38 (2017), 112-132.

  20. V. Thalhofer, M. Annunziato, and A. Borzì, Stochastic modelling and control of antibiotic subtilin production,
    Journal of Mathematical Biology, 73 (2016), 727-749.

  21. M. Mohammadi and A. Borzì, Hermite approximation of a hyperbolic Fokker-Planck optimality system to control a piecewise-deterministic process,
    International Journal of Control, 89 (2016), 1382-1395.

  22. G. Ciaramella and A. Borzì, A LONE code for the sparse control of quantum systems,
    Computer Physics Communications, 200 (2016), 312-323.

  23. T. Wech, N. Seiberlich, A. Schindele, V. Grau, L. Diffley, M. L. Gyngell, A. Borzì, H. Koestler, and J. E. Schneider , Development of Real-time Magnetic Resonance Imaging of Mouse Hearts at 9.4 Tesla -- Simulations and First Application,
    IEEE TRANSACTIONS ON MEDICAL IMAGING, 35(3):912-20.

  24. S. Wongkaew, M. Caponigro, K. Kułakowski, A. Borzì, On the control of the Heider balance model,
    European Physical Journal - Special Topics, 224(2015), 3325-3342.

  25. A. Borzì, E.-J. Park, M. Vallejos Lass, Multigrid Optimization Methods for the Optimal Control of Convection -- Diffusion Problems with Bilinear Control,
    Journal of Optimization Theory and Applications, 168 (2016), 510-533.

  26. M. Annunziato, A. Borzì, M. Magdziarz, A. Weron, A fractional Fokker-Planck control framework for subdiffusion processes,
    Optimal Control, Applications and Methods, 37 (2016), 290-304

  27. G. Ciaramella and A. Borzì, SKRYN: A fast semismooth-Krylov-Newton method for controlling Ising spin systems,
    Computer Physics Communications, 190 (2015), 213-223.

  28. G. Ciaramella, A. Borzì, G. Dirr, D. Wachsmuth, Newton methods for the optimal control of closed quantum spin systems,
    SIAM Journal on Scientific Computing, 37 (2015), A319-A346.

  29. G. Ciaramellaa , J. Salomon, A. Borzì, A method for solving exact-controllability problems governed by closed quantum spin systems,
    International Journal of Control (IJC), 88 (2015), 682-702.

  30. Masoumeh Mohammadi and Alfio Borzì, A Hermite spectral method for a Fokker-Planck optimal control problem in an unbounded domain,
    International Journal for Uncertainty Quantification (IJUQ), 5 (2015), 233-254.

  31. Mohammad Tanvir Rahman and Alfio Borzì, A FEM-multigrid scheme for elliptic Nash-equilibrium multiobjective optimal control problems,
    Numerical Mathematics: Theory, Methods and Applications (NMTMA), 8 (2015) 253-282.

  32. Suttida Wongkaew, Marco Caponigro, Alfio Borzì, On the control through leadership of the Hegselmann-Krause opinion formation model,
    Mathematical Models and Methods in Applied Sciences (M3AS), 25 (2015), 565-585.

  33. S. Wongkaew and A. Borzì, Modeling and control through leadership of a refined flocking system,
    Mathematical Models and Methods in Applied Sciences (M3AS), 25 (2015), 255-282.

  34. M. Annunziato, A. Borzì, F. Nobile, and R. Tempone, On the connection between the Hamilton-Jacobi-Bellman and the Fokker-Planck control frameworks,
    Applied Mathematics, 5 (2014), 2476-2484.

  35. S. Gonzalez Andrade and A. Borzì, Second-order approximation and fast multigrid solution of parabolic bilinear optimization problems,
    Advances in Computational Mathematics, 41 (2015), 457-488

  36. M. Mohammadi and A. Borzì, Analysis of the Chang-Cooper Discretization Scheme for a Class of Fokker-Planck Equations,
    Journal of Numerical Mathematics, 23 (2015), 271-288.

  37. A. Borzì, Daniela di Serafino, and Valentina De Simone, Parallel algebraic multilevel Schwarz preconditioners for a class of elliptic PDE systems,
    Computing and Visualization in Science, 16 (2013), 1-14.

  38. M. Annunziato and A. Borzì, Optimal control of a class of piecewise deterministic processes ,
    European Journal of Applied Mathematics, 25 (2014), 1-25.

  39. P.F. Antonietti, A. Borzì, and M. Verani, Multigrid shape optimization governed by elliptic PDEs,
    SIAM J. Control Optim., 51 (2013), 1417-1440.

  40. A. Borzì, Quantum optimal control using the adjoint method,
    Nanoscale Systems: Mathematical Modeling, Theory and Applications, 1 (2012), 93-111.

  41. Davide Calebiro, Finn Rieken, Julia Wagner, Titiwat Sungkaworn, Ulrike Zabel, Alfio Borzì, Emanuele Cocucci, Alexander Zuern, Martin J. Lohse, Single-molecule analysis of fluorescently labeled GPCRs reveals receptor-specific complexes with distinct dynamics and organization,
    Proceedings of the National Academy of Sciences (PNAS), 110 (2013), 743-748.

  42. M. Annunziato and A. Borzì, Fokker-Planck-based control of a two-level open quantum system,
    Mathematical Models and Methods in Applied Sciences (M3AS), 23 (2013), 2039-2064

  43. A. Borzì and C. Kanzow, Formulation and numerical solution of Nash equilibrium multiobjective elliptic control problems,
    SIAM J. Control Optim., 51(2013), 718-744.

  44. M. Annunziato and A. Borzì, A Fokker-Planck control framework for multidimensional stochastic processes,
    Journal of Computational and Applied Mathematics, 237 (2013), 487-507.

  45. A. Borzì and M. Borzì, A MPC Scheme with Guaranteed Stability for the Control of Bloch Systems,
    Proceedings MATHMOD 2012, I. Troch, F. Breitenecker, eds.

  46. M. M. Butt and A. Borzì, A full multigrid solution of control-constrained Cauchy-Riemann optimal control problems ,
    Journal of Numerical Mathematics, 19 (2011), 189-214.

  47. A. Borzì and G. von Winckel, A POD framework to determine robust controls in PDE optimization,
    Computing and Visualization in Science, 14 (2011), 91-103.

  48. M. M. Butt and A. Borzì, Formulation and multigrid solution of Cauchy-Riemann optimal control problems,
    Computing and Visualization in Science, 14 (2011), 79-90.

  49. S. Gonzalez Andrade and A. Borzi, Multigrid solution of a Lavrentiev-regularized state-constrained parabolic control problem,
    Numerical Mathematics: Theory, Methods and Applications, 5 (2012), 1-18.

  50. M. Annunziato and A. Borzì, Optimal control of probability density functions of stochastic processes,
    Mathematical Modelling and Analysis, 15 (2010), 393-407.

  51. S. Gonzalez Andrade and A. Borzì, Multigrid second-order accurate solution of parabolic control-constrained problems,
    Computational Optimization and Applications, 51 (2012), 835-866.

  52. G. von Winckel and A. Borzì, QUCON: A fast Krylov-Newton code for dipole quantum control problems,
    Computer Physics Communications, 181 (2010), 2158-2163.

  53. A. Borzì, V. Schulz, C. Schillings, and G. von Winckel, On the treatment of distributed uncertainties in PDE constrained optimization,
    GAMM Mitteilungen, 33 (2010), 230-246.

  54. A. Borzì, Multigrid and sparse-grid schemes for elliptic control problems with random coefficients,
    Computing and Visualization in Science, 13 (2010), 153-160.

  55. M. Annunziato and A. Borzì, Fast solvers of Fredholm optimal control problems,
    Numerical Mathematics: Theory, Methods and Applications, 3 (2010), 431-448.

  56. A. Borzì, M. di Bisceglie, C. Galdi, G. Giangregorio, Robust registration of satellite images with local distorsions,
    Proceedings IEEE International Geoscience & Remote Sensing Symposium July 12-17, 2009, Cape Town, South Africa

  57. G. von Winckel, A. Borzì, and S. Volkwein, A globalized Newton method for the accurate solution of a dipole quantum control problem,
    SIAM J. Sci. Comp., 31 (2009), 4176-4203

  58. A. Borzì and G. von Winckel, Multigrid methods and sparse-grid collocation techniques for parabolic optimal control problems with random coefficients,
    SIAM J. Sci. Comp., 31 (2009), 2172-2192

  59. A. Borzì and V. Schulz, Multigrid methods for PDE optimization,
    SIAM Review, 51 (2009), 361-395.

  60. O. Lass, M. Vallejos, A. Borzì, and C.C. Douglas, Implementation and analysis of multigrid schemes with finite elements for elliptic optimal control problems,
    Computing, 84 (2009), 27-48

  61. M. Vallejos and A. Borzì, Multigrid optimization methods for linear and bilinear elliptic optimal control problems,
    Computing, 82 (2008), 31-52

  62. M. Vallejos and A. Borzì, Multigrid methods for linear elliptic optimal control problems,
    Numerical Mathematics and Advanced Applications, Springer (2008)

  63. G. von Winckel and A. Borzì, Computational techniques for a quantum control problem with H1-cost,
    Inverse Problems, 24 (2008) 034007.

  64. A. Borzì and U. Hohenester, Multigrid optimization schemes for solving Bose--Einstein condensates control problems,
    SIAM J. Sci. Comp., 30 (2008), 441-462

  65. P. Ditz and A. Borzì, A cascadic monotonic time-discretized algorithm for finite-level quantum control computation,
    Computer Physics Communications, 178 (2008), 393-399.

  66. A. Borzì, J. Salomon, and S. Volkwein, Formulation and numerical solution of finite-level quantum optimal control problems,
    Journal of Computational and Applied Mathematics,216 (2008), 170-197

  67. U. Hohenester, P.K. Rekdal, A. Borzì, J. Schmiedmayer, Optimal quantum control of Bose-Einstein condensates in magnetic microtraps,
    Phys. Rev. A 75, 023602 (2007)

  68. A. Borzì, Smoothers for control- and state-constrained optimal control problems,
    Computing and Visualization in Science, 11 (2008), 59-66.

  69. A. Borzì, On the convergence of the MG/OPT method,
    PAMM, 5(1) (2005), 735-736

  70. A. Borzì, High-order discretization and multigrid solution of elliptic nonlinear constrained optimal control problems,
    Journal of Computational and Applied Mathematics, 200 (2007), 67-85.

  71. A. Borzì and R. Griesse, Distributed optimal control of lambda-omega systems,
    Journal of Numerical Mathematics, 14 (2006), 17-40.

  72. A. Borzì, Space-time multigrid methods for solving unsteady optimal control problems,
    (Chapter 5) in L.T. Biegler, O. Ghattas, M. Heinkenschloss, D. Keyes and B. van Bloemen Waanders (Eds.),
    Real-Time PDE-Constrained Optimization, Computational Science and Engineering, Vol. 3, SIAM, Philadelphia, 2007.

  73. A. Borzì and G. Borzì, Algebraic multigrid methods for solving generalized eigenvalue problems,
    International Journal for Numerical Methods in Engineering, 65(8) (2006), 1186-1196.

  74. A. Borzì and E. Decker, Analysis of a leap-frog pseudospectral scheme for the Schroedinger equation,
    Journal of Computational and Applied Mathematics, 193(1) (2006), 65-88.

  75. A. Borzì and K. Kunisch, A globalization strategy for the multigrid solution of elliptic optimal control problems,
    Optimization Methods and Software, 21(3) (2006), 445-459

  76. A. Borzì, H. Grossauer, and O. Scherzer, Analysis of Iterative Methods for Solving a Ginzburg-Landau Equation,
    Int. Journal of Computer Vision, 64 (2005), 203-219.

  77. A. Borzì and R. Griesse, Experiences with a space-time multigrid method for the optimal control of a chemical turbulence model,
    Int. J. Numer. Meth. Fluids., 47 (2005), 879-885.

  78. A. Borzì, Solution of lambda-omega systems: Theta-schemes and multigrid methods,
    Numerische Mathematik, 98(4) (2004), 581-606.

  79. A. Borzì and K. Kunisch, A multigrid scheme for elliptic constrained optimal control problems,
    Computational Optimization and Applications, 31 (2005), 309-333.

  80. A. Borzì and G. Borzì, An efficient algebraic multigrid method for solving optimality systems,
    Computing and Visualization in Science, 7(3/4) (2004), 183-188.

  81. A. Borzì and G. Borzì, An algebraic multigrid method for a class of elliptic differential systems,
    SIAM J. Sci. Comp., 25(1) (2003), 302-323.

  82. A. Borzì, Multigrid methods for parabolic distributed optimal control problems,
    J. Comp. Appl. Math, 157 (2003), 365-382.

  83. P. Bartsch and A. Borzì, On the Modeling and Simulation of Boundary Flow Through Partially Open Pipe Ends,
    ZAMP, 55 (2004), 946-961.

  84. A. Borzì, G. Stadler, and U. Hohenester, Optimal quantum control in nanostructures: Theory and application to a generic three-level system ,
    Phys. Rev. A 66, 053811 (2002).

  85. A. Borzì, Fast multigrid methods for parabolic optimal control problems,
    Proceedings of 18-th GAMM Seminar Leipzig 2002.

  86. A. Borzì and G. Propst, Numerical Investigation of the Liebau Phenomenon,
    ZAMP, 54 (2003), 1050 - 1072.

  87. G. Propst and A. Borzì, Numerical Investigation of periodically excited valveless pumping,
    in Simplicity behind Complexity, W. Klonowski (Ed.), Proceedings of Euroattractor 2002, Warsaw, Pabst science publishers, pp. 192-200.

  88. A. Borzì, K. Kunisch, and Do Y. Kwak, Accuracy and Convergence Properties of the Finite Difference Multigrid Solution of an Optimal Control Optimality System,
    SIAM J. Control Opt., 41(5) (2003), 1477-1497.

  89. A. Borzì, K. Ito, and K. Kunisch, Optimal Control Formulation for Determining Optical Flow,
    SIAM J. Sci. Comput., 24(3) (2002), 818-847.

  90. A. Borzì, K. Ito, and K. Kunisch, An Optimal Control Approach to Optical Flow Computation,
    Int. J. Numer. Meth. Fluids., 40 (2002), 231-240.

  91. A. Borzì and K. Kunisch, The Numerical Solution of the Steady State Solid Fuel Ignition Model and Its Optimal Control,
    SIAM J. Sci. Comp., 22(1) (2000), 263-284.

  92. A. Borzi, K.W. Morton, E. Suli and M. Vanmaele, Multilevel Solution of Cell Vertex Cauchy-Riemann Equations,
    SIAM J. Sci. Comp.,18(2) (1997),441-459.

  93. M. Vanmaele, K.W. Morton, E. Suli and A. Borzi, Analysis of the Cell Vertex Finite Volume Method for the Cauchy-Riemann Equations,
    SIAM J. Num. Anal., 34(5) (1997), 2043-2062.

  94. A. Borzi and A. Koubek, A multi-grid method for the resolution of thermodynamic Bethe ansatz equations,
    Comp. Phys. Commun., 75 (1993), 118-126.

  95. A. Borzi and G. Fonte, On Variational principles for Nonlinear Partial Differential Equations in Complex Spaces,
    Nuovo Cimento, B107 (1992), 189-201.

  96. A. Borzì, K. Ito and K. Kunisch An Optimal Control Approach to Optical Flow Computation,
    In M J Baines, editor, Numerical Methods for Fluid Dynamics VII, ICFD, Oxford University Computing Laboratory, 2001.

  97. P. Bartsch, B. Bachner, A. Borzì, and H.A. Schuemie,
    Simulation of a Concentric-Tube Resonator,
    in International Symposium on Experimental and Computational Aerothermodynamics of Internal Flows 5th ISAIF, 4 - 7 September 2001 Gdansk.

  98. A. Borzì and K. Kunisch, A Multigrid Method for the Optimal Control of Time-Dependent Reaction Diffusion Processes,
    in K.H. Hoffmann, R. Hoppe, and V. Schulz (Eds.), „Fast solution of discretized optimization problems“, International Series on Numerical Mathematics, Vol. 138, Birkhäuser, 2001.

  99. A. Borzì and G. Borzì, Algebraic Multigrid and Conjugate Gradient Methods for the Solution of FEM Equations for 3D Static Problems,
    9th IGTE Symposium on Numerical Field Calculation in Electrical Engineering, Graz (Austria), 11-14 settembre, 2000.

  100. P. Bartsch and A. Borzì, A New Reconstruction Technique for the Euler Equations of Gas Dynamics with Source Terms,
    in E. Toro (Ed.), „Godunov Methods: Theory and Applications“, Kluwer Academic/Plenum Publishers, 2001.

  101. A. Borzì, K. Kunisch, and M. Vanmaele, A Multi-Grid Approach to the Optimal Control of Solid Fuel Ignition Problems,
    in E. Dick, K. Riemslagh and J. Vierendeels (Eds.), Lecture Notes in Computer Science and Engineering, 14, European Multigrid Meeting 1999, Springer 2000.

  102. A. Borzi, K.W. Morton, E. Suli and M. Vanmaele, A full multi-grid method for the solution of the cell vertex Cauchy-Riemann equations,
    in "Seventh Copper Mountain Conference on Multigrid Methods", ed. by N.D. Melson, T.A. Manteuffel, S.F. McCormick and C.C. Douglas, 73-86, NASA, Hampton, (1996).

  103. A. Borzi, Burgers Equation and Multi-Grid Techniques,
    in "Contributions to Multigrid" ed. bv P.W. Hemker and P. Wesseling, CWI, Amsterdam, (1994).

  104. A. Borzi, On the Extension of the Twolevel Method for Operator Equations in Hilbert Space,
    in "Contributions to Multigrid" ed. bv P.W. Hemker and P. Wesseling, CWI, Amsterdam, (1994).

  105. A. Borzi and A. Koubek, On a multi-grid algorithm for the TBA equations,
    in "Multigrid Methods IV", ed. by P.W. Hemker and P. Wesseling, Birkhaeuser Verlag, Basel, (1994).

A few old Preprints, Technical Reports, and All That

  1. A. Borzì Introduction to Multilevel Methods,
    Lecture Notes in Mathematics, Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, 1994.

  2. A. Borzi, The Splitting Formulation of Multilevel Methods and Some Applications, technical report NA94/03, Oxford University Computing Laboratory, (1994).

  3. A. Borzi, A cell-faced data structure for the cell-centre discretisation method, technical report CS-0058, AVL LIST GmbH, (1997).

  4. A. Borzì The Development of an Algorithm for the BOOST Modeling of a Perforated Pipe in a Plenum or in a Pipe, Tech. Rep. AST-1999-005, Dr. A. Borzì EDV-Dienstleistung, Graz, 1999.


Special issues


    Alfio Borzì, James Brannick, Francisco Gaspar and Irad Yavneh,
    Special issue in Numerical Mathematics: Theory, Methods and Applications (NM),
    related to the Weizmann Workshop 2013, Numerical Mathematics: Theory, Methods and Applications, 8 (2015).

    Alfio Borzì and Cornelis W. Oosterlee,
    Special issue in Numerical Linear Algebra with Applications (NLAA),
    related to the European Science Foundation OPTPDE Workshop, 2011,
    Numerical Linear Algebra with Applications, 20 (2013), 539-711

    Alfio Borzì and Cornelis W. Oosterlee,
    Special issue in Numerical Mathematics: Theory, Methods and Applications (NMTMA),
    related to the European multigrid conference, EMG 2010,
    Numerical Mathematics: Theory, Methods and Applications, 5 (2012).

    Alfio Borzì and Cornelis W. Oosterlee,
    Special issue in Computing and Visualization in Science (CVS),
    related to the European multigrid conference, EMG 2010,
    Computing and Visualization in Science, 14 (2011).


Algorithms

  1. LONE

    A LONE code for the sparse control of quantum systems (2016).
    In CPC Program Library: CPC Program Library Home Page.

  2. SKRYN

    A fast semismooth-Krylov–Newton method for controlling Ising spin systems (2015).
    In CPC Program Library: CPC Program Library Home Page.

  3. QUCON

    QUCON: A fast Krylov-Newton code for dipole quantum control problems (2010).
    In CPC Program Library: CPC Program Library Home Page.

  4. SPQUAD

    Computes the sparse grid quadrature abscissae and weights on an orthotope/hyperrectangle using the Clenshaw-Curtis rule (2008).
    In "Multigrid methods and sparse-grid collocation techniques for parabolic optimal control problems with random coefficients".

  5. CNMS

    A cascadic monotonic time-discretized algorithm for finite-level quantum control computation (2008).
    In CPC Program Library: CPC Program Library Home Page.

  6. SANTAFE

    A space-time multigrid method for open-loop (and receding-horizon) optimal control of time-dependent reaction-diffusion systems (2005).
    In MGNet: MGNet Home Page,

  7. CONTROLLA

    A full multigrid method for the solution of an optimality system arising from a singular optimal control problem (2001).
    In MGNet: MGNet Home Page,

  8. INTEGRA

    A multigrid code for the solution of systems of nonlinear integral equations (1998).
    In MGNet: MGNet Home Page,

  9. TBA

    A multigrid code for the solution of the thermodynamic Bethe Ansatz equations (1993).
    In CPC Program Library: CPC Program Library Home Page.