WIAS Preprint List: Schmidt, Gunther

• 2502: Brée, Carsten; Gailevičius, Darius; Purlys, Vytautas; Werner, Guillermo Garre; Staliunas, Kestutis; Rathsfeld, Andreas; Schmidt, Gunther; Radziunas, Mindaugas
  Chirped photonic crystal for spatially filtered optical feedback to a broad-area laser
  Appeared in: J. Opt., 20 (2018), published online on 28.08.2018, DOI 10.1088/2040-8986/aada98 .
• 2355: Schmidt, Gunther
  Scattering of general incident beams by diffraction gratings
  
• 2279: Lanzara, Flavia; Maz'ya, Vladimir; Schmidt, Gunther
  A fast solution method for time dependent multidimensional Schrödinger equations
  Appeared in: Appl. Anal., published online on 08.08.2017, DOI 10.1080/00036811.2017.1359571 .
• 2119: Lanzara, Flavia; Maz'ya, Vladimir; Schmidt, Gunther
  Approximation of solutions to multidimensional parabolic equations by approximate approximations
  Appeared in: Appl. Comput. Harmon. Anal., 41 (2016) pp. 749--767.
• 1933: Bugert, Beatrice; Schmidt, Gunther
  Electromagnetic scattering by biperiodic multilayered gratings: A recursive integral equation approach
  
• 1882: Bugert, Beatrice; Schmidt, Gunther
  Analytical investigation of an integral equation method for electromagnetic scattering by biperiodic structures
  Appeared in: Discrete Contin. Dyn. Syst. Ser. S, 8 (2015) pp. 435--473.
• 1767: Lanzara, Flavia; Maz'ya, Vladimir; Schmidt, Gunther
  Fast cubature of volume potentials over rectangular domains
  Appeared in: Appl. Comput. Harmon. Anal., 36 (2014) pp. 167--182 with modified title: Fast cubature of volume potentials over rectangular domains by approximate approximations
• 1740: Lanzara, Flavia; Maz'ya, Vladimir; Schmidt, Gunther
  Computation of volume potentials over bounded domains via approximate approximations
  Appeared in: J. Math. Sci. (N. Y.), 189 (2013) pp. 508--524.
• 1684: Goray, Leonid; Schmidt, Gunther
  Sensitivity analysis of 2D photonic band gaps of any rod shape and conductivity using a very fast conical integral equation method
  Appeared in: Phys. Rev. E (3), 85 (2012) pp. 036701/1--036701/12 under the new title “Analysis of two-dimensional photonic band gaps of any rod shape and conductivity using a conical-integral-equation method”.
• 1601: Schmidt, Gunther
  Conical diffraction by multilayer gratings: A recursive integral equations approach
  Appeared in: Appl. Math., 58 (2013) pp. 279--307.
• 1469: Goray, Leonid I.; Schmidt, Gunther
  Solving conical diffraction with integral equations
  Appeared in: J. Opt. Soc. Amer. A, 27 (2010) pp. 585--597 under new title: Solving conical diffraction grating problems with integral equations
• 1435: Schmidt, Gunther
  Integral methods for conical diffraction
  Appeared in: Around the Research of Vladimir Maz'ya II. Partial Differential Equations, A. Laptev, ed., 12 of International Mathematical Series, Springer Science+Business Media, New York [et al.], 2010, pp. 337--363 under the new title "Boundary integral methods for periodic scattering problems”.
• 1403: Lanzara, Flavia; Maz'ya, Vladimir; Schmidt, Gunther
  Tensor product approximations of high dimensional potentials
  Appeared in: Math. Comp., 80 (2011) pp. 887--904 under the new title Ön the fast computation of high dimensional volume potentials".
• 1296: Schmidt, Gunther
  Integral equations for conical diffraction by coated gratings
  Appeared in: J. Integral Equations Appl., 23 (2011) pp. 71--112.
• 1104: Maz'ya, Vladimir; Schmidt, Gunther
  Potentials of Gaussians and approximate wavelets
  Appeared in: Math. Nachr., 280 (2007) pp. 1176--1189.
• 1094: Elschner, Johannes; Rehberg, Joachim; Schmidt, Gunther
  Optimal regularity for elliptic transmission problems including $C^1$ interfaces
  Appeared in: Interfaces Free Bound., 9 (2007) pp. 233--252.
• 1090: Rathsfeld, Andreas; Schmidt, Gunther; Kleemann, Bernd H.
  On a fast integral equation method for diffraction gratings
  Appeared in: Commun. Comput. Phys., 1 (2006) pp. 984-1009.
• 1066: Elschner, Johannes; Kaiser, Hans-Christoph; Rehberg, Joachim; Schmidt, Gunther
  $W^1,q$ regularity results for elliptic transmission problems on heterogeneous polyhedra
  Appeared in: Math. Models Methods Appl. Sci., 17 (2007) pp. 593--615.
• 1058: Lanzara, Flavia; Maz'ya, Vladimir; Schmidt, Gunther
  Approximate approximations from scattered data
  Appeared in: J. Approx. Theory, 145 (2007), pp. 141--170
• 827: Elschner, Johannes; Maz'ya, Vladimir; Rehberg, Joachim; Schmidt, Gunther
  Solutions for quasilinear nonsmooth evolution systems in L^p
  Appeared in: Arch. Rational Mech. Anal. 171 (2004), pp. 219-262
• 773: Elschner, Johannes; Schmidt, Gunther; Yamamoto, Masahiro
  Global uniqueness in determining rectangular periodic structures by scattering data with a single wave number
  Appeared in: J. Inv. Ill-Posed Problems 11 (2003), pp. 235-244
• 771: Karlin, Vladimir; Maz'ya, Vladimir; Schmidt, Gunther
  Numerical algorithms to calculate periodic solutions of the Sivashinsky equation
  Appeared in: J. Comput. Phys. 188 (2003), pp. 209--231; under the new title: High accuracy periodic solutions to the Sivashinsky equation
• 751: Schmidt, Gunther
  On the diffraction by biperiodic anisotropic structures
  Appeared in: Applicable Analysis, 82 (2003), pp. 75-92
• 649: Elschner, Johannes; Hinder, Rainer; Schmidt, Gunther
  Finite element solution of conical diffraction problems
  Appeared in: Advances in Computational Mathematics 16 (2002), pp. 139-156
• 637: Elschner, Johannes; Schmidt, Gunther
  Inverse scattering for periodic structures: Stability of polygonal interfaces
  Appeared in: Inverse Problems 17 (2001), pp. 1817-1829
• 588: Elschner, Johannes; Hinder, Rainer; Schmidt, Gunther
  Direct and inverse problems for diffractive structures - optimization of binary gratings
  Appeared in: Mathematics - Key Technology for the Future II, Springer, Berlin, 2003
• 586: Elschner, Johannes; Schmidt, Gunther
  Conical diffraction by periodic structures: Variation of interfaces and gradient formulas
  Appeared in: Math. Nachr. 252 (2003), pp. 24-42
• 538: Elschner, Johannes; Schmidt, Gunther
  Diffraction in Periodic Structures and Optimal Design of Binary Gratings II. Gradient Formulas for TM Polarization
  Appeared in: The Siegfried Proessdorf Memorial Volume, Oper. Theory: Adv. Appl., Vol. 121, pp. 89-108, Birkhaeuser, Basel, 2001
• 470: Schmidt, Gunther
  Approximate Approximations and their Applications
  Appeared in: J. Rossmann, P. Takac, G. Wildenhain (eds): The Mazya Anniversary Collection Vol.1, Operator Theory: Advances and Applications, Vol. 109, Birhaeuser Basel, 1999, pp.75-92
• 422: Maz´ya, Vladimir; Schmidt, Gunther
  On Quasi-interpolation with non-uniformly distributed centers on Domains and Manifolds
  Appeared in: J. Approx. Th. 10 (2001), pp. 125-145
• 402: Ivanov, Tjavdar; Maz´ya, Vladimir; Schmidt, Gunther
  Boundary Layer Approximate Approximations and Cubature of Potentials in Domains
  Appeared in: Adv. Comput. Math., 10 (1999) No. 3/4, pp. 311-342
• 400: Elschner, Johannes; Hinder, Rainer; Penzel, Frank; Schmidt, Gunther
  Existence, Uniqueness and Regularity for Solutions of the Conical Diffraction Problem
  Appeared in: Math. Models Meth. Appl. Sci. 10 (2000) pp. 317-341
• 376: Elschner, Johannes; Schmidt, Gunther
  A rigorous numerical method for the optimal design of binary gratings
  Appeared in: J. Comput. Physics 146 (1998), pp. 603-626
• 323: Elschner, Johannes; Schmidt, Gunther
  Analysis and Numerics for the Optimal Design of Binary Diffractive Gratings
  Appeared in: Math. Meth. Appl. Sci. 21, (1998), pp. 1297-1342
• 249: Maz´ya, Vladimir; Schmidt, Gunther
  Approximate wavelets and the approximation of pseudodifferential operators
  Appeared in: Applied and Computational Harmonic Analysis, 6 (1999), No. 3, pp. 287-313.
• 180: Schmidt, Gunther
  Boundary integral operators for plate bending in domains with corners
  Appeared in: ZAA 20 (2001), No.1, pp.131-154.
• 177: Maz´ya, Vladimir; Schmidt, Gunther
  "Approximate approximations" and the cubature of potentials
  Appeared in: Rend. Mat. Acc. Lincei, s. 9, 6 (1995), pp. 161-184.
• 162: Khoromskij, Boris N.; Schmidt, Gunther
  A fast interface solver for the biharmonic Dirichlet problem on polygonal domains
  Appeared in: Num. Math. 78 (1998), No.4, pp. 577-596.
• 129: Khoromskij, Boris N.; Schmidt, Gunther
  Boundary integral equations for the biharmonic Dirichlet problem on nonsmooth domains
  Appeared in: J. Integral Equations Appl., 11 (1999), No. 2, pp. 217-253.
• 111: Maz´ya, Vladimir; Schmidt, Gunther
  On approximate approximations using Gaussian kernels
  Appeared in: IMA J. Numer. Anal., 16 (1996), pp. 13--29
• 9: Schmidt, Gunther
  Boundary element discretization of Poincaré-Steklov operators.
  Appeared in: Numer. Math., 69 (1994), pp. 83--101

WIAS Technical Report List: Schmidt, Gunther

• 8: Schmidt, Gunther
  Benutzer-Handbuch Dipog-1.4