February - April 2008
Description: Computational aspects are nowadays almost omnipresent in mathematics. This is clear in areas like numerical analysis. But as soon as one can relate mathematics to formulas, computers can be used to either solve equations or to manipulate them symbolically. Of course, if the context involves continuous objects, approximations are necessary.
Six groups were invited to this first Junior program:
- MIP-PDE: Solving discrete-continuous nonlinear optimal control problems with linear mixed-integer programming techniques (Group A)
- Adaptive computational stochastic partial differential equations (Group B)
- Numerical discretization methods for differential inclusions and applications to robust optimal control problems (Group C)
- Numerical methods in molecular simulation (Group D)
- Extreme geometric structures (Group E)
- Adaptive nonstandard finite element schemes (Group F, organized by Carsten Carstensen)
Associated Events:
- Workshop A: MIP & PDE
- Workshop B: Efficiency in and Modeling with Computational SPDE
- Workshop C: Set-valued Numerical Analysis and Robust Optimal Control
- Workshop D: Numerical methods in molecular simulation
- Workshop E1: Linear and semidefinite programming bounds
- Workshop E2: Optimal geometric structures
© HIM
| No. | Author(s) | Title | Preprint | Publication |
| 008a01 | Altmüller, N.; Grüne, L.; Worthmann, K. | Performance of NMPC schemes without stabilizing terminal constraints | Recent Advances in Optimization and its Applications in Engineering. https://doi.org/10.1007/978-3-642-12598-0_25 |
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| 2008a02 | Baier, R.; Grüne, L.; Hafstein, S. F. | Linear programming based Lyapunov function computation for differential inclusions | Discrete Contin. Dyn. Syst. Ser. B. 17(1) (2012), 33–56. https://doi.org/10.3934/dcdsb.2012.17.33 |
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| 2008a03 | Baier, R.; Donchev, T. | Discrete approximation of impulsive differential inclusions | Numer. Funct. Anal. Optim. 31(4-6) (2010), 653–678. https://doi.org/10.1080/01630563.2010.483878 |
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| 2008a04 | Baier, R.; Farkhi, E. | The directed subdifferential of DC functions | Nonlinear analysis and optimization II. Optimization, 27–43. https://doi.org/10.1090/conm/514/10098 |
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| 2008a05 | Baier, R.; Perria, G. | Set-valued Hermite interpolation | J. Approx. Theory. 163(10) (2011), 1349–1372. https://doi.org/10.1016/j.jat.2010.11.004 |
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| 2008a06 | Bartels, S.; Müller, R.; Ortner, C. | Robust a priori and a posteriori error analysis for the approximation of Allen-Cahn and Ginzburg-Landau equations past topological changes | SIAM J. Numer. Anal. 49(1) (2011), 110–134. https://doi.org/10.1137/090751530 |
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| 2008a07 | Blömker, D.; Romito, M. | Regularity and blow up in a surface growth model | 0902.1409 | Dyn. Partial Differ. Equ. 6(3) (2009), 227–252. https://doi.org/10.4310/DPDE.2009.v6.n3.a2 |
| 2008a08 | Brouder, C.; Panati, G.; Stoltz, G. | Adiabatic approximation, Gell-Mann and Low theorem and degeneracies: a pedagogical example | 0807.4218 | |
| 2008a09 | Brouder, C.; Panati, G.; Stoltz, G. | Gell-Mann and Low formula for degenerate unperturbed states | 0906.1853 | Ann. Henri Poincaré. 10(7) (2010), 1285–1309. https://doi.org/10.1007/s00023-009-0018-7 |
| 2008a10 | Carstensen, C.; Gudi, T.; Jensen, M. | A unifying theory of a posteriori error control for discontinuous Galerkin FEM | Numer. Math. 112(3) (2009), 363–379. https://doi.org/10.1007/s00211-009-0223-9 |
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| 2008a11 | Carstensen, C.; Ortner, C. | Computation of the Lavrentiev phenomenon | ||
| 2008a12 | Carstensen, C.; Praetorius, D. | Convergence of adaptive boundary element methods | J. Integral Equations Appl. 24(1) (2012), 1–23. https://doi.org/10.1216/JIE-2012-24-1-1 |
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| 2008a13 | Carstensen, C.; Ortner, C. | Analysis of a class of penalty methods for computing singular minimizers | Comput. Methods Appl. Math. 10(2) (2010), 137–163. https://doi.org/10.2478/cmam-2010-0008 |
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| 2008a14 | Carstensen, C. | Convergence of adaptive finite element methods in computational mechanics | Appl. Numer. Math. 59(9) (2009), 2119–2130. https://doi.org/10.1016/j.apnum.2008.12.006 |
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| 2008a15 | Clever, D.; Lang, J. | Optimal control of radiative heat transfer in glass cooling with restrictions on the temperature gradient | Optimal Control Appl. Methods. 33(2) (2012), 157–175. https://doi.org/10.1002/oca.984 |
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| 2008a16 | Cohn, H.; Elkies, N. D.; Kumar, A.; Schürmann, A. | Point configurations that are asymmetric yet balanced | 0812.2579 | Proc. Amer. Math. Soc. 138(8) (2010), 2863–2872. https://doi.org/10.1090/S0002-9939-10-10284-6 |
| 2008a17 | Chopin, N.; Lelièvre, T.; Stoltz, G. | Free energy methods for Bayesian inference: efficient exploration of univariate Gaussian mixture posteriors | 1003.0428 | Stat. Comput. 22(4) (2012), 897–916. https://doi.org/10.1007/s11222-011-9257-9 |
| 2008a18 | Dittel, A.; Fügenschuh, A.; Göttlich, S.; Herty, M. | MIP presolve techniques for a PDE-based supply chain model | Optim. Methods Softw. 24(3) (2009), 427–445. https://doi.org/10.1080/10556780902752595 |
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| 2008a19 | Ferraz-Leite, S.; Ortner, C.; Praetorius, D. | Convergence of simple adaptive Galerkin schemes based on h-h/2 error estimators | Numer. Math. 116(2) (2010), 291–316. https://doi.org/10.1007/s00211-010-0292-9 |
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| 2008a20 | Frank, M.; Fügenschuh, A.; Herty, M.; Schewe, L. | The coolest path problem | Netw. Heterog. Media 5(1) (2010), 143–162. https://doi.org/10.3934/nhm.2010.5.143 |
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| 2008a21 | Funken, S.; Praetorius, D.; Wissgott, P. | Efficient implementation of adaptive P1-FEM in Matlab | Comput. Methods Appl. Math. 11(4) (2011), 460–490. https://doi.org/10.2478/cmam-2011-0026 |
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| 2008a22 | Fügenschuh, A.; Homfeld, H.; Huck, A.; Martin, A.; Yuan, Z. | Scheduling locomotives and car transfers in freight transport | Transportation Science. 42(4) (2008), 478-491. https://doi.org/10.1287/trsc.1080.0248 |
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| 2008a23 | Georgoulis, E. H.; Lakkis, O.; Virtanen, J. M. | A posteriori error control for discontinuous Galerkin methods for parabolic problems | 0804.4262 | SIAM J. Numer. Anal. 49(2) (2011), 427–458. https://doi.org/10.1137/080722461 |
| 2008a24 | Grüne, L.; Jerg, S.; Junge, O.; Lehmann, D.; Lunze, J.; Müller, F.; Post, M. | Two complementary approaches to event-based control | Automatisierungstechnik. 58(4) (2010), 173-182. https://doi.org/10.1524/auto.2010.0832 |
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| 2008a25 | Grüne, L.; Müller, F. | Global optimal control of quantized systems | UBT_00005616 | |
| 2008a26 | Grüne, L.; von Lossow, M.; Worthmann, K. | NMPC suboptimality estimates for sampled-data continuous systems | Recent Advances in Optimization and its Applications in Engineering. https://doi.org/10.1007/978-3-642-12598-0_29 |
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| 2008a27 | Grüne, L.; Pannek, J.; Seehafer, M.; Worthmann, K. | Analysis of unconstrained nonlinear MPC schemes with time varying control horizon | 1006.2529 | SIAM J. Control Optim. 48(8) (2010), 4938–4962. https://doi.org/10.1137/090758696 |
| 2008a28 | Grüne, L.; Müller, F. | Set oriented optimal control using past information | ||
| 2008a29 | Grüne, L.; Müller, F. | An algorithm for event-based optimal feedback control | UBT00005584 | |
| 2008a30 | Grüne, L.; Junge, O. | Set oriented construction of globally optimal controllers | Automatisierungstechnik. 57(6) (2009), 287-295. https://doi.org/10.1524/auto.2009.0777 |
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| 2008a31 | Stoltz, G.; Lazzeri, M.; Mauri, F. | Thermal transport in isotopically disordered carbon nanotubes | 0810.1830 | J. Phys.: Condens. Matter. 21 (2009), 245-302. http://dx.doi.org/10.1088/0953-8984/21/24/245302 |
| 2008a32 | Legoll, F.; Lelièvre, T. | Effective dynamics using conditional expectations | 0906.4865 | Nonlinearity. 23(9) (2010), 2131–2163. https://doi.org/10.1088/0951-7715/23/9/006 |
| 2008a33 | Lelièvre, T. | A general two-scale criteria for logarithmic Sobolev inequalities | J. Funct. Anal. 256(7) (2009), 2211–2221. https://doi.org/10.1016/j.jfa.2008.09.019 |
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| 2008a34 | Lorenz, T. | Morphological control problems with state constraints | SIAM J. Control Optim. 48(8) (2010), 5510–5546. https://doi.org/10.1137/090752183 |
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| 2008a35 | Muravleva, L. V.; Muravleva, E. A. | Unsteady flows of a viscoplastic medium in channels | Mech. Solids. 44 (2009), 792–812. https://doi.org/10.3103/S0025654409050173 |
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| 2008a36 | Muravleva, L. V.; Muravleva, E. A. | Uzawa method on semi-staggered grids for unsteady Bingham media flows | Russian J. Numer. Anal. Math. Modelling. 24(6) (2009), 543–563. https://doi.org/10.1515/RJNAMM.2009.034 |
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| 2008a37 | Muravleva, L. V.; Muravleva, E. A. | Numerical simulations of cessation flows of a Bingham plastic with the Augmented Lagrangian Method | Journal of Non-Newtonian Fluid Mechanics. 165(9-10) (2010), 544-550. https://doi.org/10.1016/j.jnnfm.2010.02.002 |
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| 2008a38 | de Oliveira Filho, F. M.; Vallentin, F. | Fourier analysis, linear programming, and densities of distance avoiding sets in Rn | 0808.1822 | J. Eur. Math. Soc. 12(6) (2010), 1417–1428. https://doi.org/10.4171/JEMS/236 |
| 2008a39 | Ortner, C.; Praetorius, D. | On the convergence of adaptive non-conforming finite element methods | SIAM J. Numer. Anal. 49(1) (2011), 346–367. https://doi.org/10.1137/090781073 |
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| 2008a40 | Ortner, C. | Nonconforming finite-element discretization of convex variational problems | IMA J. Numer. Anal. 31(3) (2011), 847–864. https://doi.org/10.1093/imanum/drq004 |
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| 2008a41 | Plecháč, P.; Rousset, M. | Implicit mass-matrix penalization of Hamiltonian dynamics with application to exact sampling of stiff systems | 0905.4737 | Multiscale Model. Simul. 8(2) (2009/10), 498–539. https://doi.org/10.1137/08072348X |
| 2008a42 | Rieger, J. | Shadowing and the viability kernel algorithm | Appl. Math. Optim. 60(3) (2009), 429–441. https://doi.org/10.1007/s00245-009-9083-z |
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| 2008a43 | Romito, M.; Xu, L. | Ergodicity of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noise | 0906.4281 | Stochastic Process. Appl. 121(4) (2011), 673–700. https://doi.org/10.1016/j.spa.2010.11.010 |
| 2008a44 | Schürmann, A. | Perfect, strongly eutactic lattices are periodic extreme | 0808.2013 | Adv. Math. 225(5) (2010), 2546–2564. https://doi.org/10.1016/j.aim.2010.05.002 |
| 2008a45 | Schürmann, A. | Enumerating perfect forms | 0901.1587 | Quadratic forms—algebra, arithmetic, and geometry, 359–377 https://doi.org/10.1090/conm/493/09679 |
| 2008a46 | Dutour Sikirić, M.; Felikson, A.; Tumarkin, P. | Automorphism groups of root system matroids | 0711.4670 | European J. Combin. 32(3) (2011), 383–389. https://doi.org/10.1016/j.ejc.2010.11.003 |
| 2008a47 | Dutour Sikirić, M.; Schürmann, A.; Vallentin, F. | Inhomogeneous extreme forms | 1008.4751 | Ann. Inst. Fourier. 62(6) (2012), 2227–2255. https://doi.org/10.5802/aif.2748 |
| 2008a48 | Dutour Sikirić, M.; Ellis, G. | Wythoff polytopes and low-dimensional homology of Mathieu groups | 0812.4291 | J. Algebra. 322(11) (2009), 4143–4150. https://doi.org/10.1016/j.jalgebra.2009.09.031 |
| 2008a49 | Dutour Sikirić, M.; Rybnikov, K. | Perfect but not generating Delaunay polytopes | 0905.4555 | |
| 2008a50 | Dutour Sikirić, M.; Schürmann, A.; Vallentin, F. | The contact polytope of the Leech lattice | 0906.1427 | Discrete Comput. Geom. 44(4) (2010), 904–911. https://doi.org/10.1007/s00454-010-9266-z |
| 2008a51 | Dutour Sikirić, M.; Rybnikov, K. | Delaunay polytopes derived from the Leech lattice | 0907.0776 | J. Théor. Nombres Bordeaux. 26(1) (2014), 85–101. http://jtnb.cedram.org/item?id=JTNB_2014__26_1_85_0 |
| 2008a52 | Dutour Sikirić, M.; Schürmann, A.; Vallentin, F. | Complexity and algorithms for computing Voronoi cells of lattices | 0804.0036 | Math. Comp. 78(267) (2009), 1713–1731. https://doi.org/10.1090/S0025-5718-09-02224-8 |
| 2008a53 | Maillet, J-B.; Stoltz, G. | Sampling constraints in average: the example of Hugoniot curves | 0807.0558 | Appl. Math. Res. Express. 2008(abn004) (2008). https://doi.org/10.1093/amrx/abn004 |
| 2008a54 | Donchev, T. | Singularly perturbed evolution inclusions | - | SIAM J. Control Optim. 48(7) (2010), 4572–4590. https://doi.org/10.1137/08072588X |
| 2008a55 | Donchev, T. | Minimal time function and Hamilton-Jacobi inequalities | - | Int. J. Math. Stat. 6 S10 (2010), 14–24. http://www.ceser.in/ceserp/index.php/ijms/article/view/2712 |
| 2008a56 | Donchev, T.; Dontchev, A. L. | Extensions of Clarke's proximal characterization for reachable mappings of differential inclusions | - | J. Math. Anal. Appl. 348(1) (2008), 454–460. https://doi.org/10.1016/j.jmaa.2008.07.027 |
| 2008a57 | Donchev, T.; Farkhi, E. | On the theorem of Filippov-Pliś and some applications | - | Control Cybernet. 38(4A) (2009), 1251–1271. http://matwbn.icm.edu.pl/ksiazki/cc/cc38/cc38416.pdf |
| 2008a58 | Filippova, T. F.; Berezina, E. V. | On state estimation approaches for uncertain dynamical systems with quadratic nonlinearity: theory and computer simulations | - | Large-scale scientific computing, 326–333. https://doi.org/10.1007/978-3-540-78827-0_36 |
| 2008a59 | Filippova, T. F. | Trajectory tubes of nonlinear differential inclusions and state estimation problems | - | J. Concr. Appl. Math. 8(3) (2010), 454–469. MR2606023 |
| 2008a60 | Lelièvre, T.; Rousset, M.; Stoltz, G. | Free energy computations | - | Imperial College Press, London, 2010. xiv+458 pp. https://doi.org/10.1142/9781848162488 |
| 2008a61 | Lorenz, T. | Mutational analysis | - | Lecture Notes in Math., 1996 https://doi.org/10.1007/978-3-642-12471-6 |
| 2008a62 | Meyer, B. | Extreme lattices and vexillar designs | 0812.2659 | J. Algebra. 322(12) (2009), 4368–4381. https://doi.org/10.1016/j.jalgebra.2009.09.026 |
| 2008a63 | Bremner, D.; Schewe, L. | Edge-graph diameter bounds for convex polytopes with few facets | 0809.0915 | Exp. Math. 20(3) (2011), 229–237. https://doi.org/10.1080/10586458.2011.564965 |
| 2008a64 | Bremner, D.; Dutour Sikirić, M.; Pasechnik, D. V.; Rehn, T.; Schürmann, A. | Computing symmetry groups of polyhedra | 1210.0206 | LMS J. Comput. Math. 17(1) (2014), 565–581. https://doi.org/10.1112/S1461157014000400 |
Name |
Affiliation |
| Robert Baier | Universität Bayreuth |
| Sören Bartels | Universität Bonn |
| David Bremner | TU München |
| Carsten Carstensen | Humboldt Universität zu Berlin |
| Eva Cruck | Universität Zürich |
| Tzanko Donchev | |
| Martin Frank | TU Kaiserslautern |
| Armin Fügenschuh | TU Darmstadt |
| Manolis Georgoulis | University of Leicester |
| Matthias Gerdts | University of Birmingham |
| Michael Herty | TU Kaiserslautern |
| Max Jensen | University of Durham |
| Georgios Kossioris | University of Crete |
| Omar Lakkis | University of Sussex |
| Frederic Legoll | Université Paris-Est - Marne-la-Vallée |
| Tony Lelievre | Ecole Nationale des Ponts et Chaussees |
| Christian Litterer | University of Oxford |
| Thomas Lorenz | Universität Heidelberg |
| Ekaterina Muravleva | Max Planck Institute for Mathematics in the Sciences |
| Christoph Ortner | Computing Laboratory |
| Dirk Praetorius | Vienna University of Technology |
| Janosch Rieger | Universität Bielefeld |
| Marco Romito | Università di Firenze |
| Mathias Rousset | CERMICS |
| Lars Schewe | TU Darmstadt |
| Achill Schürmann | Universität Magdeburg |
| Mathieu Dutour Sikiric | |
| Gabriel Stoltz | Ecole Nationale des Ponts et Chaussées |
| Frank Vallentin |