Home  | Legals | Data Protection | Sitemap | KIT

Publications

2018

  1. Influence of left atrial size on P-wave morphology: differential effects of dilation and hypertrophy,
    R. Andlauer, G. Seemann, L. Baron, O. Dössel, P. Kohl, P. Platonov, A. Loewe,
    EP Europace, vol. 20, issue suppl_3, pp. iii36–iii44, November 2018 – BibTeX
  2. Error analysis of an ADI splitting scheme for the inhomogenous Maxwell equations,
    J. Eilinghoff, R. Schnaubelt,
    Discrete Contin. Dyn. Syst. - A, vol. 38, issue 11, pp. 5685-5709, online first, November 2018 – BibTeX
  3. Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space,
    Z. Brzeźniak, F. Hornung, L. Weis,
    Probability Theory and Related Fields, online first, pp. 1-66, November 2018 – BibTeX
  4. Microlocal analysis of imaging operators for effective common offset seismic reconstruction,
    C. Grathwohl, P. Kunstmann, E. T. Quinto, A. Rieder,
    Inv. Prob., vol 34, no. 11, 114001, November 2018 – BibTeX
  5. Polynomial stability for a system of coupled strings,
    Ł. Rzepnicki, R. Schnaubelt,
    Bull. Lond. Math. Soc., online first, pp. 1-20, October 2018 – BibTeX
  6. Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions,
    M. Spitz,
    Journal of Differential Equations, online first, October 2018 – BibTeX
  7. A Computational Framework to Benchmark Basket Catheter Guided Ablation in Atrial Fibrillation,
    M. Alessandrini, M. Valinoti, L. Unger, T. Oesterlein, O. Dössel, C. Corsi, A. Loewe, S. Severi,
    Front. Physiol., vol. 9, art. 1251, September 2018 – BibTeX
  8. Surface plasmon polaritons sustained at the interface of a nonlocal metamaterial,
    J. Feis, K. Mnasri, A. Khrabustovskyi, C. Stohrer, M. Plum, C. Rockstuhl,
    Phys. Rev. B, vol. 98, issue 11, pp. 115409, September 2018 – BibTeX
  9. The nonlinear stochastic Schrödinger equation via stochastic Strichartz estimates,
    F. Hornung,
    J. Evol. Equ., vol. 18, issue 3, pp. 1085-1114, September 2018 – BibTeX
  10. Strong solutions to a nonlinear stochastic Maxwell equation with a retarded material law,
    L. Hornung,
    J. Evol. Equ., vol. 18, issue 3, pp. 1427–1469, September 2018 – BibTeX
  11. Unified error analysis for nonconforming space discretizations of wave-type equations,
    D. Hipp, M. Hochbruck, C. Stohrer,
    IMA J. Numer. Anal., online first, pp. 1-40, July 2018 – BibTeX
  12. Novel electrocardiographic criteria for real-time assessment of anterior mitral line block : “V1 Jump” and “V1 Delay”,
    H. Lehrmann, A. S. Jadidi, J. Minners, J. Chen, B. Müller-Edenborn, R. Weber, O. Dössel, T. Arentz, A. Loewe,
    JACC: Clinical Electrophysiology, vol. 4, issue 7, pp. 920-932, July 2018 – BibTeX
  13. A splitting approach for freezing waves,
    R. Flohr, J. Rottmann-Matthes,
    In: Klingenberg C., Westdickenberg M. (eds) Theory, Numerics and Applications of Hyperbolic Problems I. HYP 2016. Springer Proceedings in Mathematics & Statistics, vol 236. Springer, Cham. Online first, pp. 539-550, June 2018 – BibTeX
  14. Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations,
    M. Hochbruck, A. Sturm,
    Math. Comp., online first, pp. 1-33, June 2018 – BibTeX
  15. Convergence Analysis of Energy Conserving Explicit Local Time-Stepping Methods for the Wave Equation,
    M. J. Grote, M. Mehlin, S. A. Sauter,
    SIAM J. Numer. Anal., vol. 56, issue 2, pp. 994-1021, June 2018 – BibTeX
  16. Fast and reliable method to estimate losses of single-mode waveguides with an arbitrary 2D trajectory,
    F. Negredo, M. Blaicher, A. Nesic, P. Kraft, J. Ott, W. Dörfler, C. Koos, C. Rockstuhl,
    J. Opt. Soc. Am. A, vol. 35, issue 6, pp. 1063-1073, June 2018 – BibTeX
  17. Superconducting nanowire single-photon detector implemented in a 2D photonic crystal cavity,
    J. Münzberg, A. Vetter, F. Beutel, W. Hartmann, S. Ferrari, W. H. P. Pernice, and C. Rockstuhl,
    Optica, vol. 5, issue 5, pp. 658-665, May 2018 – BibTeX
  18. Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to the classical NLS splitting,
    S. Baumstark, E. Faou, K. Schratz,
    Mathematics of Computations, vol. 87, no. 311, pp. 1227-1254, May 2018 – BibTeX
  19. Dual variational methods for a nonlinear Helmholtz system,
    R. Mandel, D. Scheider,
    Nonlinear Differential Equations and Applications NoDEA, vol. 25, no. 2, 13, April 2018 – BibTeX
  20. Asymptotic consistent exponential-type integrators for Klein-Gordon-Schrödinger systems from relativistic to non-relativistic regimes,
    S. Baumstark, G. Kokkala, K. Schratz,
    Electronic Transactions on Numerical Analysis, vol. 48, pp. 63-80, March 2018 – BibTeX
  21. Blow-up for nonlinear Maxwell equations,
    P. D'Ancona, S. Nicaise, R. Schnaubelt,
    Electronic Journal of Differential Equations, vol. 2018, no. 73, pp. 1-9, March 2018 – BibTeX
  22. Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations,
    M. Hochbruck, T. Pažur, R. Schnaubelt,
    Numerische Mathematik, vol. 138, issue 3, pp. 557-579, March 2018 – BibTeX
  23. Ultrafast optical ranging using microresonator soliton frequency combs,
    P. Trocha, M. Karpov, D. Ganin, M. H. P. Pfeiffer, A. Kordts, S. Wolf, J. Krockenberger, P. Marin-Palomo, C. Weimann, S. Randel, W. Freude, T. J. Kippenberg, C. Koos,
    Science, vol. 359, issue 6378, pp. 887-891, February 2018 – BibTeX
  24. Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type,
    B. Kovács, C. Lubich,
    Numerische Mathematik, vol. 138, issue 2, pp. 365–388, February 2018 – BibTeX
  25. Beyond local effective material properties for metamaterials,
    K. Mnasri, A. Khrabustovskyi, C. Stohrer, M. Plum, C. Rockstuhl,
    Physical Review B, vol. 97, issue 7, 075439, February 2018 – BibTeX
  26. Quasilinear parabolic stochastic evolution equations via \(L^p\)-regularity,
    L. Hornung,
    Potential Analysis, pp. 1–48, online first, January 2018 – BibTeX
  27. Automatic Identification of Reentry Mechanisms and Critical Sites during Atrial Tachycardia by Analyzing Areas of Activity,
    T. G. Oesterlein, A. Loewe, G. Lenis, A. Luik, C. Schmitt, O. Dössel,
    IEEE Transactions on Biomedical Engineering, pp. 1-11, online first, January 2018 – BibTeX
  28. The definition and measurement of electromagnetic chirality,
    T. Arens, F. Hagemann, F. Hettlich, A. Kirsch,
    Mathematical Methods in the Applied Sciences, vol. 41, issue 2, pp. 559–572, January 2018 – BibTeX
  29. Approximate inverse for the common offset acquisition geometry in 2D seismic imaging,
    C. Grathwohl, P. Kunstmann, E. T. Quinto, A. Rieder,
    Inverse Problems, vol. 34, no. 1, 014002, January 2018 – BibTeX
  30. Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations,
    S. Buchholz, L. Gauckler, V. Grimm, M. Hochbruck, T. Jahnke,
    IMA Journal of Numerical Analysis, vol. 38, issue 1, pp. 57-75, January 2018 – BibTeX

 

2017

  1. Commentary: Virtual In-Silico Modeling Guided Catheter Ablation Predicts Effective Linear Ablation Lesion Set for Longstanding Persistent Atrial Fibrillation: Multicenter Prospective Randomized Study,
    A. Loewe, O. Dössel
    Frontiers in Physiology, vol. 8, 1113, December 2017 – BibTeX
  2. Oscillating solutions for nonlinear Helmholtz equations,
    R. Mandel, E. Montefusco, B. Pellacci,
    Journal of Applied Mathematics and Physics, 68:121, December 2017 – BibTeX
  3. Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation,
    T. Jahnke, M. Mikl,
    Numerische Mathematik, pp. 1-35, online first, November 2017 – BibTeX
  4. Freezing similarity solutions in multi-dimensional Burgers equation,
    J. Rottmann-Matthes,
    Nonlinearity, vol. 30, no. 12, 4558, November 2017 – BibTeX
  5. An IMEX-RK scheme for capturing similarity solutions in multidimensional Burger's equation,
    J. Rottmann-Matthes,
    IMA Journal of Numerical Analysis, 00, pp. 1–32, November 2017 – BibTeX
  6. Strang splitting for a semilinear Schrödinger equation with damping and forcing,
    T. Jahnke, M. Mikl, R. Schnaubelt,
    Journal of Mathematical Analysis and Applications, vol. 455, issue 2, pp. 1051-1071, November 2017 – BibTeX
  7. Discrete diffraction managed solitons: Threshold phenomena and rapid decay for general nonlinearities,
    M.-R. Choi, D. Hundertmark, Y.-R. Lee,
    Journal of Mathematical Physics, vol. 58, issue 10, 101513, online first, October 2017 – BibTeX
  8. Spectrum of a singular pertubed periodic thin waveguide,
    G. Cardone, A. Khrabustovskyi,
    Journal of Mathematical Analysis and Applications, vol. 454, issue 2, pp. 673–694, October 2017 – BibTeX
  9. Trigonometric time integrators for the Zakharov system,
    S. Herr, K. Schratz,
    IMA Journal of Numerical Analysis, vol. 37, issue 4, pp. 2042–2066, October 2017 – BibTeX
  10. On existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space \(M_{p,q}(\mathbb{R})\),
    L. Chaichenets, D. Hundertmark, P. Kunstmann, N. Pattakos,
    Journal of Differential Equations, vol. 263, issue 8, pp. 4429-4441, October 2017 – BibTeX
  11. Dispersion managed solitons in the presence of saturated nonlinearity,
    D. Hundertmark, Y.-R. Lee, T. Ried, V. Zharnitsky,
    Physica D: Nonlinear Phenomena, vol. 356-357, pp. 65-69, October 2017 – BibTeX
  12. Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients
    A. Hirsch, W. Reichel,
    Zeitschrift für Analysis und ihre Anwendungen, vol. 36, issue 4, pp. 419–435, online first, September 2017 – BibTeX
  13. Stable and convergent fully discrete interior–exterior coupling of Maxwell's equations,
    B. Kovács, C. Lubich,
    Numerische Mathematik, vol. 137, issue 1, pp. 91-117, September 2017 – BibTeX
  14. Multi-level local time-stepping methods of Runge-Kutta type for wave equations,
    M. Almquist, M. Mehlin,
    SIAM Journal on Scientific Computing, vol. 39, issue 5, pp. A2020-A2048, September 2017 – BibTeX
  15. Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities,
    D. Hundertmark, Y.-R. Lee, T. Ried, V. Zharnitsky,
    Journal of Differential Equations, pp. 1–28, online first, August 2017 – BibTeX
  16. Finite element heterogeneous multiscale method for time-dependent Maxwell's equations,
    M. Hochbruck, C. Stohrer,
    Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016, ISBN 978-3-319-65870-4,
    pp. 269-281, online first, August 2017 – BibTeX
  17. An exponential-type integrator for the KdV equation,
    M. Hofmanová, K. Schratz,
    Numerische Mathematik, vol. 137, issue 4, pp. 1117–1137, August 2017 – BibTeX
  18. Derivation of the Hartree equation for compound Bose gases in the mean field limit,
    I. Anapolitanos, M. Hott, D. Hundertmark,
    Reviews in Mathematical Physics, vol. 29, issue 7, 1750022, August 2017 – BibTeX
  19. Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules,
    J.-M. Barbaroux, D. Hundertmark, T. Ried, S. Vugalter,
    Archive for Rational Mechanics and Analysis, vol. 225, issue 2, pp. 601-661, August 2017 – BibTeX
  20. Stable foliations near a traveling front for reaction diffusion systems,
    Y. Latushkin, R. Schnaubelt, X. Yang,
    Discrete and Continuous Dynamical Systems - Series B, vol. 22, issue 8, pp. 3145-3165, online first, June 2017 – BibTeX
  21. Microresonator-based solitons for massively parallel coherent optical communications,
    P. Marin-Palomo, J. N. Kemal, M. Karpov, A. Kordts, J. Pfeifle, M. H. P. Pfeiffer, P. Trocha, S. Wolf, V. Brasch, M. H. Anderson, R. Rosenberger, K. Vijayan, W. Freude, T. J. Kippenberg, C. Koos,
    Nature, vol. 546, pp. 274-279, June 2017 – BibTeX
  22. Low regularity exponential-type integrators for semilinear Schrödinger equations,
    A. Ostermann, K. Schratz,
    Foundations of Computational Mathematics, pp. 1-25, online first, May 2017 – BibTeX
  23. Efficient time integration of the Maxwell–Klein–Gordon equation in the non-relativistic limit regime,
    P. Krämer, K. Schratz,
    Journal of Computational and Applied Mathematics, vol. 316, pp. 247-259, May 2017 – BibTeX
  24. Subwavelength focusing of Bloch surface waves,
    M.-S. Kim, B. V. Lahijani, N. Descharmes, J. Straubel, F. Negredo, C. Rockstuhl, M. Häyrinen, M. Kuittinen, M. Roussey, H. P. Herzig,
    ACS Photonics, vol. 4, no. 6, pp. 1477-1483, May 2017 – BibTeX
  25. A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients,
    M. Plum, W. Reichel,
    Journal of Elliptic and Parabolic Equations, vol. 2, issue 1-2, pp. 371-387, April 2017 – BibTeX
  26. Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction,
    J.-M. Barbaroux, D. Hundertmark, T. Ried, S. Vugalter,
    Kinetic and Related Models, vol. 10, no. 4, pp. 901-924, March 2017 – BibTeX
  27. On the approximation of electromagnetic fields by edge finite elements. Part 2: A heterogeneous multiscale method for Maxwell's equations,
    P. Ciarlet, S. Fliss, C. Stohrer,
    Computers & Mathematics with Applications, vol. 73, no. 9, pp. 1900–1919, March 2017 – BibTeX
  28. New criteria for the \(H^\infty\)-calculus and the Stokes operator on bounded Lipschitz domains,
    P. Kunstmann, L. Weis,
    Journal of Evolution Equations, vol. 17, issue 1, pp. 387-409, March 2017 – BibTeX
  29. Metastable energy strata in numerical discretizations of weakly nonlinear wave equations,
    L. Gauckler, D. Weiss,
    Discrete & Continuous Dynamical Systems - A, vol. 37, issue 7, pp. 3721-3747, March 2017 – BibTeX
  30. A priori bounds and global bifurcation results for frequency combs modeled by the Lugiato-Lefever equation,
    R. Mandel, W. Reichel,
    SIAM Journal on Applied Mathematics, vol. 77, no. 1, pp. 315-345, February 2017 – BibTeX, Supplementary files (ZIP, 21kB)
  31. Multidimensional thermoelasticity for nonsimple materials – well-posedness and long-time behavior,
    A. Anikushyn, M. Pokojovy,
    Applicable Analysis, vol. 96, no. 9, pp. 1561-1585, February 2017 – BibTeX
  32. Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations,
    M. Hochbruck, T. Pažur,
    Numerische Mathematik, vol. 135, no. 2, pp. 547-569, February 2017 – BibTeX

 

2016

  1. A simple proof of convergence to the Hartree dynamics in Sobolev trace norms,
    I. Anapolitanos, M. Hott,
    Journal of Mathematical Physics, vol. 57, no. 12, 122108, December 2016 – BibTeX
  2. From the Klein–Gordon–Zakharov system to the Klein–Gordon equation,
    M. Daub, G. Schneider, K. Schratz,
    Mathematical Methods in the Applied Sciences, vol. 23, issue 26, pp. 33044–33064, December 2016 – BibTeX
  3. Transverse multipolar light-matter couplings in evanescent waves,
    I. Fernandez-Corbaton, X. Zambrana-Puyalto, N. Bonod, C. Rockstuhl,
    Physical Review A, vol. 94, issue 5, 053822, November 2016 – BibTeX
  4. Error analysis of a second-order locally implicit method for linear Maxwell's equations,
    M. Hochbruck, A. Sturm,
    SIAM Journal on Numerical Analysis, vol. 54, no. 5, pp. 3167–3191, October 2016 – BibTeX
  5. Cavity-enhanced and ultrafast superconducting single-photon detectors,
    A. Vetter, S. Ferrari, P. Rath, R. Alaee, O. Kahl, V. Kovalyuk, S. Diewald, G. N. Goltsman, A. Korneev, C. Rockstuhl, W. H. P. Pernice,
    Nano Letters, vol. 16, issue 11, pp. 7085–7092, October 2016 – BibTeX
  6. Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation,
    J. Eilinghoff, R. Schnaubelt, K. Schratz,
    Journal of Mathematical Analysis and Applications, vol. 442, no. 2, pp. 740–760, October 2016 – BibTeX
  7. Optically assisted trapping with high-permittivity dielectric rings: Towards optical aerosol filtration,
    R. Alaee, M. Kadic, C. Rockstuhl, A. Passian,
    Applied Physics Letters, vol. 109, issue 14, 141102, October 2016 – BibTeX
  8. Long-term analysis of semilinear wave equations with slowly varying wave speed,
    L. Gauckler, E. Hairer, C. Lubich,
    Communications in Partial Differential Equations, vol. 41, no. 12, pp. 1934-1959, online first, September 2016 – BibTeX
  9. Hybrid 2D/3D Photonic Integration for Non-Planar Circuit Topologies,
    A. Nesic, M. Blaicher, T. Hoose, M. Lauermann, Y. Kutuvantavida, W. Freude, C. Koos,
    ECOC 2016; 42nd European Conference on Optical Communication, pp. 707-709, September 2016 – BibTeX
  10. Optical force and torque on dipolar dual chiral particles,
    A. Rahimzadegan, M. Fruhnert, R. Alaee, I. Fernandez-Corbaton, C. Rockstuhl,
    Physical Review B, vol. 94, issue 12, 125123, September 2016 – BibTeX
  11. Ground states of a nonlinear curl-curl problem in cylindrically symmetric media,
    T. Bartsch, T. Dohnal, M. Plum, W. Reichel,
    Nonlinear Differential Equations and Applications, vol. 23, no. 5, pp. 1-34, online first, August 2016 – BibTeX
  12. Inverse problems for abstract evolution equations with applications in electrodynamics and elasticity,
    A. Kirsch, A. Rieder,
    Inverse Problems, vol. 32, no. 8, 085001, June 2016 – BibTeX
  13. 50 Tbit/s Massively Parallel WDM Transmission in C and L Band Using Interleaved Cavity-Soliton Kerr Combs,
    P. Marin, J. Pfeifle, M. Karpov, P. Trocha, R. Rosenberger, K. Vijayan, S. Wolf, J. Kemal, A. Kordts, M. Pfeiffer, V. Brasch, W. Freude, T. J. Kippenberg, C. Koos,
    Conference on Lasers and Electro-Optics, STu1G.1, June 2016 – BibTeX
  14. Numerical analysis of parabolic problems with dynamic boundary conditions,
    B. Kovács, C. Lubich,
    IMA Journal of Numerical Analysis, vol. 37, issue 1, pp. 1-39, May 2016 – BibTeX
  15. On a parabolic-hyperbolic filter for multicolor image noise reduction,
    V. Maltsev, M. Pokojovy,
    Evolution Equations & Control Theory, vol. 5, no. 2, pp. 251-272, May 2016 – BibTeX
  16. Spectral properties of elliptic operator with double-contrast coefficients near a hyperplane,
    A. Khrabustovskyi, M. Plum,
    Asymptotic Analysis, vol. 98, no. 1–2, pp. 91–130, May 2016 – BibTeX
  17. Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems,
    W. Dörfler, S. Findeisen, C. Wieners,
    Computational Methods in Applied Mathematics, vol. 16, no. 3, pp. 409-428, March 2016 – BibTeX
  18. Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition,
    D. Barseghyan, P. Exner, A. Khrabustovskyi, M. Tater,
    Journal of Physics A: Mathematical and Theoretical, vol. 49, no. 16, 165302, March 2016 – BibTeX
  19. Image formation properties and inverse imaging problem in aperture based scanning near field optical microscopy,
    S. Schmidt, A. E. Klein, T. Paul, H. Gross, S. Diziain, M. Steinert, A. C. Assafrao, T. Pertsch, C. Rockstuhl,
    Optics Express, vol. 24, issue 4, pp. 4128–4142, February 2016 – BibTeX

 

2015

  1. Exact dipolar moments of a localized electric current distribution,
    I. Fernandez-Corbaton, S. Nanz, R. Alaee, C. Rockstuhl,
    Optics Express, vol. 39, issue 18, pp. 5371–5380, December 2015 – BibTeX