Forschungsbericht 2007

E-10 Numerische Simulation

Forschungsprojekte

• E.4-13.004 Ausnutzung von Symmetrieeigenschaften bei der Lösung von Eigenwertaufgaben
• E.4-13.019 Numerische Approximation von echt mehrdimensionalen Erhaltungsgleichungen mit Quelltermen
• E.4-13.020 Mathematische Modellierung von nicht-Newtonschen Fluiden
• E.4-13.021 Rationale Eigenwertaufgaben der Fluid-Struktur Interaktion
• E.4-13.022 Projektionsverfahren für dünn besetzte nichtlineare Eigenwertaufgaben
• E.4-13.023 Untersuchung der numerischen Stabilität von Krylov-Unterraum-Verfahren
• E.4-13.024 Adaptive mehrstufige Substrukturierungsverfahren für dünnbesetzte Eigenwertaufgaben
• E.4-13.025 Ordnungsreduktions Techniken für nichtlineare Eigenwertaufgaben
• E.4-13.026 Theory and Numerics of Multi-dimensional Hyperbolic Conservation Laws
• E.4-13.027 Differential Equations with Applications in Science and Engineering (DEASE)
• E.4-13.029 Effiziente Lösungsstrategien für einen Strömungslöser mit Diskontinuierlichen Galerkin-Verfahren
• E.4-13.030 Stochastische Methoden zur Schätzung von Sensitivitäten in der Fluglastenanalyse
• E.4-13.031 Electron energy level calculations for semiconductor nanostructures
• E.4-13.032 Model reduction combined with hierarchical substructuring
• E.4-13.033 Algebraische Eigenschaften der Eigenwerte und Eigenvektoren von Hessenbergmatrizen
• E.4-13.034 Regularization of total least squares problems
• E.4-13.035 Unsymmetric Eigenvalue Problems in Fluid-Solid Structures

Kooperationen

• Prof. Dr. Sebastian Noelle, RWTH Aachen, Institut für Geometrie und Praktische Mathematik, Division Numerik
• Prof. Ph. Prasad, Indian Institute of Science, Bangalore, India

Publikationen

Veröffentlichungen

• 4-13.001V
  

  S. Artlich: Zweidimensionale Simulation der Kohleverbrennung in Druckwirbelschichtfeuerung Fortschrittberichte, Reihe 6: Energietechnik, Nr. 346, VDI Verlag 1996

• 4-13.002V
  

  S. Artlich: Combustion of Coal in Pressurized Fluidized Bed Reactors. Seite 1 -- 10 in: 4.13.016V

• 4-13.003V
  

  S. Artlich, W. Mackens, and J. Werther: Zweidimensionale Simulation der Kohleverbrennung in Druckwirbelschichtfeuerung. Report 4 des AB Mathematiks der TUHH, Juli 1996

• 4-13.011V
  

  S. Artlich, W. Mackens, and J. Werther: Two-Dimensional Simulation of Temperature Distributions Inside Pressurized Fluidized Bed Cumbustors. Proceedings of 14th Int. Conf. Fluidized Bed Cumbustion, Vancouver/Canada, 1997, F. Preto (ed.), ASME - New York,

  pp. 237--244, 1997

• 4-13.012V
  

  A. P. Bassom, A. Ilchmann, and H. Voss: Oxygen Diffusion in Tissue Preparation with Michaelis-Menten Kinetics. J. theor. Biol. 185, 119 -- 127 (1997)

• 4-13.004V
  

  F. Fuhrmann, U. Kleis, and W. Mackens: Partielle Differentialgleichungen und Numerische Software. In: W. E. Nagel (ed.): Manuskripte zur Sommerschule Partielle Differential-gleichungen, Numerik und Anwendungen, pages 119 -- 129. Forschungszentrum Jülich, 1996.

• 4-13.005V
  

  B. Hofferek, H. Voss: Software der Numerischen Linearen Algebra. Report Nr. 5, Arbeitsbereich Mathematik, TU Hamburg-Harburg, 1996

• 4-13.006V
  

  B. Hofferek, H. Voss: Internet Numerical Linear Algebra Resources.

  http://www.tu-harburg.de/mat/INTERNA/PUBLICATIONS/Softw.html

• 4-13.017V
  

  A. Ilchmann: Adaptive Lamda-tracking for polynomial minimum phase systems. Dynamics and Stability of Systems 13, pp. 341 -- 371, (1998)

• 4-13.018V
  

  A. Ilchmann, M. Pahl: Adaptive multivariable regulation of a Biogas Tower Reactor. European Journal of Control 4, pp. 116 -- 131, (1998)

• 4-13.013V
  

  A. Ilchmann, M. Pahl, J. Lunze: Adaptive regulation of a Biogas Tower Reactor. Proc. of the Fourth European Control Conf., Brüssel, (1997) TH-M/C

• 4-13.023V
  

  A. Ilchmann, S. Townley: Adaptive high-gain Lambda-tracking with variable sampling rate. Systeme Control Lett. 36, 285--293 (1999)

• 4-13.007V
  

  F. Keil, W. Mackens, H. Voß, and J. Werther (eds.): Scientific Computing in Chemical Engineering, Springer-Verlag, Berlin, Heidelberg, 1996, ISBN 3-540-60940-7

• 4-13.024V
  

  F. Keil, W. Mackens, H. Voss, and J. Werther (eds.): Scientific Computing in Chemical Engineering II, Vol. 1: Computational Fluid Dynamics, Reaction Engineering, and Molecular Properties, Springer-Verlag, Berlin, Heidelberg, ISBN 3-540-65848-3

• 4-13.025V
  

  F. Keil, W. Mackens, H. Voss, and J. Werther (eds.): Scientific Computing in Chemical Engineering II, Vol. 2: Simulation, Image Processing, Optimization, and Control, Springer-Verlag, Berlin, Heidelberg, 1999; ISBN 3-540-65851-3

• 4-13.019V
  

  U. Kleis: A parallel stabilization method for nonlinear equation solvers. Zeitschrift für Angewandte Mathematik und Mechanik, (79) S3, 1999, pp S863--S864

• 4-13.026V
  

  U. Kleis: Parallel solution of reaction-diffusion equations with a stabilization method. pp. 160--167 in 4.13.025V

• 4-13.027V
  

  U. Kleis: Parallel stabilization of unstable fixed point solvers. In: Proceedings of 9. SIAM conference on Parallel Processing for Scientific Computing (on CD), 1999.

• 4-13.028V
  

  W. Mackens, J. Menck, H. Voss: Numerical Coupling of Subsystems.

  ZAMM 79, Supplement 3, S 781--782 (1999)

• 4-13.029V
  

  W. Mackens, J. Menck, H. Voss: Coupling Iterative Subsystem Solvers. pp. 184--191 in 4.13.025V

• 4-13.008V
  

  W. Mackens, H. Voss: Nonnodal Condensation of General Symmetric Eigenvalue Problems.

  In: G. Alefeld, O. Mahrenholz, R. Mennicken (eds.).Proceedings of the Third International Congress on Industrial and Applied Mathematics, Issue 1: Numerical Analysis, Scientific Computing, Computer Science, pp. 465 -- 466, Akademie Verlag, Berlin 1996

• 4-13.014V
  

  W. Mackens, H. Voss: The Minimum Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix and Rational Hermitian Interpolation. SIAM J. Matr. Anal. Appl. 18, pp. 521 -- 534 (1997)

• 4-13.020V
  

  W. Mackens, H. Voss: A Projection Method for Computing the Minimum Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix. Lin. Algebr. Appl. 275 -- 276, 401 -- 415 (1998)

• 4-13.030V
  

  W. Mackens, H. Voss: Nonnodal Condensation of Eigenvalue Problems. ZAMM 79,

  pp. 243 -- 256 (1999)

• 4-13.031V
  

  W. Mackens, H. Voss: General Masters in Parallel Condensation of Eigenvalue Problems.

  Parallel Computing 25, 893--903 (1999)

• 4-13.021V
  

  W. Mackens, H. Voss: Newton Type Methods for Computing the Smallest Eigenvalue of a Symmetric Toeplitz Matrix. Report 15, AB Mathematik, TU Hamburg-Harburg, 1998

• 4-13.046V
  

  W. Mackens, H. Voss: Computing the Minimum Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix by Newton Type Methods.

  SIAM J. Sci. Comput. 21, 1650--1656 (2000)

• 4-13.022V
  

  J. Menck: An Approximate Newton-Like Coupling of Subsystems. Report 17, AB Mathematik, TUHH, Juni 1998. Eingereicht bei: ZAMM

• 4-13.032V
  

  J. Menck: Work Control for Newton Type Coupling, pp. 192--199 in 4.13.025V

• 4-13.009V
  

  R. Rascher-Friesenhausen: Subspace Search Methods for Large Scale Nonlinear Optimization. pp. 183 - 189 in 4.13.016V

• 4-13.015V
  

  H. Voss: Interior and Modal Masters in Condensation Methods for Eigenvalue Problems. In: H. Power, J.J. Casares Long (eds.), Applications of High Performance Computing in Engineering V, pp. 23 -- 32, Computational Mechanics Publications, Southampton 1997

• 4-13.033V
  

  H. Voss: Symmetric Schemes for Computing the Minimal Eigenvalue of a Symmetric Toeplitz Matrix. Lin. Algebr. Appl. 287, 359 -- 371 (1999)

• 4-13.034V
  

  H. Voss: Bounds for the Minimum Eigenvalue of a Symmetric Toeplitz Matrix.

  Electronic Transactions on Numerical Analysis 8, 127--138 (1999)

• 4-13.010V
  

  H. Voss, W. Mackens: Computing the Minimal Eigenvalue of a Symmetric Toeplitz Matrix. In: G. Alefeld, O. Mahrenholz, R. Mennicken (eds.): Proceedings of the Third International Congress on Industrial and Applied Mathematics, Issue 2: Applied Analysis, pp. 701 -- 702, Akademie Verlag, Berlin 1996

• 4-13.035V
  

  H. Voss, W. Mackens: Newton Type Methods for Computing the Smallest Eigenvalue of a Symmetric Toeplitz Matrix. ZAMM 79, Supplement 3, S883--884 (1999)

• 4-13.016V
  

  H. Voss, K. Rothe: Modal and Interior Nodal Masters in Parallel Condensation Methods for Generalized Eigenvalue Problems. In: A. Sydow (ed.), Proceedings of the 15th IMACS World Congress on Scientific Computing, Modelling, and Applied Mathematics, Vol. 1, pp. 571 -- 576, Wissenschaft & Technik Verlag, Berlin 1997

• 4-13.036V
  

  W. Mackens, H. Voss:

  Computing Interior Eigenvalues of Medium Sized Generalized Eigenvalue Problems.

  In W. Wunderlich (ed.), Proceedings of the European Conference on Computational Mechanics, Mÿnchen 1999

• 4-13.037V
  

  H. Voss:

  A Symmetry Exploiting Lanczos Method for Symmetric Toeplitz Matrices.

  Numerical Algorithms 25, 377--385 (2000)

• 4-13.038V
  

  B. Hofferek, A. Pelzer, H. Voss:

  Parallel Condensation in the Presence of Globale Masters.

  In M. Deville, R. Owens (eds.) Proceedings of the 16th IMACS World Congress on Scientific Computation, Applied Mathematics, and Simulation, Lausanne 2000, ISBN 3-9522075-1-9

• 4-13.039V
  

  H. Voss:

  Modal Masters and Component Mode Method.

  pp. 325 - 330 in N. Mastrorakis (ed.), Systems and Control: Theory and Applications. World Scientific and Engineering Society Press, Athens 2000

• 4-13.040V
  

  O. Raddatz, G.A. Schneider, W. Mackens, H. Voss, N. Claussen:

  Bridging Stresses and R-Curves in Ceramic/Metal Composites.

  J. European Ceramic Society 20, 2261 - 2273 (2000)

• 4-13.041V
  

  H. Voss:

  A variant of the inverted Lanczos method.

  BIT Numerical Mathematics 41, 1111--1120 (2001)

• 4-13.042V
  

  B. Hofferek, H. Voss:

  Eigenvalue Reanalysis and Condensation with General Masters.

  ZAMM 81, Supplement S3, S721--S722 (2001)

• 4-13.043V
  

  A. Pelzer, B. Hofferek, H. Voss:

  Implementing Global Masters into Parallel Condensation

  ZAMM 81, Supplement S3, S727--S728 (2001)

• 4-13.044V
  

  J.R. Bunch, R.C. Le Borne, I.K. Proudler:

  Analysis of the Direct and Indirect A Posteriori RLSL Algorithm;

  Journal of Numerical Algebra with Applications, September 2001, v8: 453--466

• 4-13.045V
  

  R.C. Le Borne, I.K. Proudler:

  Tracking the Instability in the FTF Algorithm; erscheint in: Proceedings to the 14th International Symposium on Mathematical Theroy of Networks and Systems.

• 4-13.047V
  

  J.R. Bunch, R.C. Le Borne, I.K. Proudler:

  A Conceptual Framework for Consistency, Conditioning and Stability Issues in Signal Processing; IEEE Transactions on Signal Processing, September 2001, v49: 1971 - 1981

• 4-13.048V
  

  B. Hofferek, A. Pelzer and H. Voss: Global Masters in Parallel Condensation of Eigenvalue Problems. Report 31, Arbeitsbereich Mathematik, TU Hamburg-Harburg 1999

• 4-13.049V
  

  S. Töter: Subsystem-Iteration für ein Diffusions-Reaktions-System;

  eingereicht bei ZAMM, April 2000, erschienen als Report 38 im AB Mathematik

• 4-13.050V
  

  Heinrich Voss: Improving Condensation Methods in the Presence of General Masters by a Modified Rayleigh Functional.

  pp. 114--119 in N. Mastorakis, V. Mladenov, B. Suter, L.J. Wang (eds.), Advances in Scientific Computing, Computational Intelligence and Applications. World Scientific and Engineering Society Press, Athens 2001

• 4-13.051V
  

  Andreas Pelzer, Heinrich Voss: A Parallel Condensation-Based Method for the Structural Dynamic Reanalysis Problem.

  pp. 346--353 in G.R. Joubert, A. Muril, F.J. Peters, M. Vanneschi (eds.), Proceedings of PARCO 2001, Naples, Italy, Imperial College Press, London 2002

• 4-13.052V
  

  R.C. Le Borne: Understanding the Explosive Divergence of the FTF Algorithm

  ICASSP 2002, Proceedings (submitted October, 2001)

• 4-13.053V
  

  J.R.Bunch, R.C. Le Borne, I.K. Proudler: Measuring and Maintaining Consistency: A Hybrid FTF Algorithm

  Numerical Analysis and Systems Theory (special issue), v11 nor. 5, 2001

• 4-13.054V
  

  J.R. Bunch, R.C. Le Borne, I.K. Proudler: Applying Numerical Linear Algebra Techniques to Analyzing Algorithms in Signal Processing

  Linear Algebra and Its Applications 361, 133--146 (2003)

• 4-13.055V
  

  M. Lukacova-Medvidova, K.W. Morton, G. Warnecke: Evolution Galerkin Methodsfor Hyperbolic Systems in Two Space Dimensions, MathCom. 69(232), 2000, 1355-1384.

• 4-13.056V
  

  M. Lukacova-Medvidova, G. Warnecke: Lax-Wendroff Type Second Order EvolutionGalerkin Methods for Multidimesnional Hyperbolic Systems, East-West Journal 8(2),2000, 127-152.

• 4-13.057V
  

  M. Lukacova-Medvidova, K.W. Morton, G. Warnecke: Finite Volume EvolutionGalerkin Methods for Euler Equations of Gas Dynamics, Int. J. Numer. Meth.Fluids 40(3-4), John Wiley & Sons, 2002, 425-434.

• 4-13.058V
  

  M. Lukacova-Medvidova, J. Saibertova, G. Warnecke: Finite Volume EvolutionGalerkin Methods for Nonlinear Hyperbolic Systems, J. Comp. Phys. 183, 2002,1-30.

• 4-13.059V
  

  J. Li, M. Lukacova-Medvidova, G. Warnecke: Evolution Galerkin Schemes forthe Two-dimensional Riemman Problems, (Discrete and Continuous DynamicalSystems (Series A)),9(3),2003, 559-576

• 4-13.060V
  

  M. Lukacova-Medvidova, J. Saibertova, G. Warnecke, Y. Zahaykah: Onevolution Galerkin Methods for the Maxwell and the Linearized Euler Equations,Appl. Math., 49 (5), 2004, 415-439, 2004.

• 4-13.061V
  

  S. Matusu-Necasova, M. Medvidova: Bipolar Barotropic Nonnewtonian Fluid,Comment. Math. Univ. Carolina 35(3), 1994, 467-483.

• 4-13.062V
  

  S. Matusu-Necasova, M. Lukacova-Medvidova: Some Models of Non-NewtonianFluids and their Properties, ZAMM 77, S1, 1997, 205-206.

• 4-13.063V
  

  S. Matusu-Necasova, M. Lukacova-Medvidova: Bipolar Isothermal Non-NewtoniaCompressible Fluids, J. Math. Anal. Appl., 225, 1998, 168-192.

• 4-13.064V
  

  S. Matusu-Necasova, M. Lukacova-Medvidova: On Stability of Bipolar BarotropicNon-Newtonian Compressible Fluids, Mathematical Modelling and Numerical Analysis34(5), 2000, 923-934.

• 4-13.065V
  

  M. Lukacova-Medvidova, L. Grigerek, S. Necasova: Numerical Solution ofBipolar Barotropic Non-Newtonian Fluids, Fourth Conference on Numerical Modelling inContinuum Mechanics (eds. M. Feistauer et al.), Matfyzpress Praha 2001, 135-143.

• 4-13.068V
  

  Aleksandra Kostic, Heinrich Voss: A Method of Order 1 + SQRT(3) for Computing the Smallest Eigenvalue of a Symmetric Toeplitz Matrix. WSEAS Transactions on Mathematics 1, 1--6 (2002)

• 4-13.069V
  

  Timo Betcke, Heinrich Voss: A Jacobi-Davidson type projection method for nonlinear eigenvalue problems. Future Generation Computer Systems, 20, pp. 363--372 (2004)

• 4-13.070V
  

  Heinrich Voss: A rational spectral problem in fluid-solid vibration.Electronic Transactions on Numerical Analysis 16, pp. 94--106 (2003)

• 4-13.071V
  

  Alkesandra Kostic, Heinrich Voss: A hybrid method for computing the smallest eigenvalue of a symmetric and positive definite Toeplitz matrix.Report 53, Arbeitsbereich Mathematik, TU Hamburg-Harburg, 2003

• 4-13.072V
  

  Heinrich Voss: A Maxmin Principle for Nonlinear Eigenvalue Problems with Application to a Rational Spectral Problem in Fluid-Solid Vibration.Applications of Mathematics 48, pp. 607--622 (2003))

• 4-13.073V
  

  Heinrich Voss: A Projection Method for a Rational Eigenvalue Problem in Fluid-Structure Interaction. pp. 403--411 in P.M.A. Sloot, C.J.K. Tan, J.J. Dongarra, A.G. Hoekstra (eds.), Computational Science 2002, LNCS 2330, Springer Verlag, Berlin 2002

• 4-13.074V
  

  Heinrich Voss: Solving a Rational Eigenvalue Problem in Fluid-Structure Interaction. pp. 179--188 in C.A. Brebbia, P. Meli, A. Zanasi (eds.), Applications of High-Performance Computing in Engineering VII. WIT Press, Southampton 2002

• 4-13.075V
  

  Heinrich Voss: Variational Characterization of Eigenvalues of Nonlinear Eigenproblems. pp. 379--383 in M. Kocandrlova, V. Kelar (eds.), Proceedings of the International Conference on Mathematical and Computer Modelling in Science and Engineering Czech Technical University in Prague 2003

• 4-13.076V
  

  Heinrich Voss: A hybrid method for computing the smallest eigenvalue of a symmetric Toeplitz matrix. pp. 55--57 in R. Blaheta, J. Stary (eds.), Numerical Analysis. Proceedings of the Seminar dedicated to the jubilee of Ivo Marek. Technical University Ostrava 2003

• 4-13.078V
  

  Heinrich Voss: An Arnoldi type projection method for nonlinear symmetric eigenproblems. Proc. Appl. Math. 3, pp. 555--556 (2003)

• 4-13.079V
  

  Heinrich Voss: An Arnoldi method for nonlinear eigenvalue problems. BIT Numerical Mathematics 44, 387--401 (2004)

• 4-13.080V
  

  Heinrich Voss: Quadratic eigenproblems of restricted rank - Remark on a paper of Conca, Duran and Planchard. Adv. Math. Sci. Appl. 14, 35--39 (2004)

• 4-13.081V
  

  Lada Mazurenko, Heinrich Voss: On the number of eigenvalues of a rational eigenproblem. Report 61, Arbeitsbereich Mathematik, TU Hamburg-Harburg 2003.

• 4-13.082V
  

  Heinrich Voss: Locating real eigenvalues of a spectral problem in fluid-solid type structures. J. Appl. Math. 2005, 37--48 (2005)

• 4-13.083V
  

  Aleksandra Kostic, Heinrich Voss: Recurrence relations for the even and odd characteristic polynomial of a symmetric Toeplitz matrix. Comp. Appl. Math. 173, 365--369 (2004)

• 4-13.084V
  

  Elias Jarlebring, Heinrich Voss: Rational Krylov for nonlinear eigenproblems, an iterative projection method. Applications of Mathematics 50, 543--554 (2005)

• 4-13.085V
  

  Heinrich Voss: Iterative projection methods for sparse nonlinear eigenproblems. Proc. Appl. Math. Mech. 4, 722--725 (2004)

• 4-13.086V
  

  Marta Markiewicz, Heinrich Voss: Computing Interior Eigenvalues of Conservative Gyroscopic Problems. Proc. Appl. Math. Mech. 4, 674--675 (2004)

• 4-13.087V
  

  Frank Bloemeling, Heinrich Voss: Model Reduction Methods for Solving Symmetric Rational Eigenvalue Problems. Proc. Appl. Math. Mech. 4, 660--661 (2004)

• 4-13.088V
  

  Heinrich Voss: An Arnoldi method for nonlinear symmetric eigenvalue problems. Online Proceedings, SIAM Conference on Applied Linear Algebra, Williamsburg 2003. http://www.siam.org/meetings/la03/proceedings/VossH.pdf

• 4-13.089V
  

  Heinrich Voss: Initializing iterative projection methods for rational symmetric eigenproblems. Online Proceedings, Dagstuhl Seminar on Theoretical and Computational Aspects of Matrix Algorithms, Schloss Dagstuhl 2003. http://www.dagstuhl.de/03421/proceedings/

• 4-13.090V
  

  Heinrich Voss: A Jacobi-Davidson method for nonlinear eigenproblems. pp. 34--41 in M. Buback, G.D. van Albada, P.M.A. Sloot, J.J. Dongarra (eds.), Computational Science - ICCS 2004. 4th International Conference, Kraków, Poland, 2004, Proceedings, Part II, Lecture Notes in Computer Science 3037, Springer Verlag, Berlin, Heidelberg, New York 2004

• 4-13.091V
  

  Kolja Elssel, Heinrich Voss: Multilevel extended algorithms in structural dynamics on parallel computers. pp. 243--250 in G. Joubert, W. Nagel, F. Peters, W. Walter (eds.), Parallel Computing: Software Technology, Algorithms, Architectures & Applications. Proceedings of the International Conference PARCO2003, Dresden, Germany, Elsevier Science, Amsterdam, 2004

• 4-13.092V
  

  Heinrich Voss: A Jacobi-Davidson type projection method for general nonlinear eigenproblems. in B.H.V. Topping, S.A. Mota Soares (eds.), Proceedings (CD-Rom) of The Seventh International Conference on Computational Structures Technology, Lisbon, Portugal 2004, ISBN 0-948749-94-6

• 4-13.093V
  

  Heinrich Voss: Eigenvibrations of a plate with elastically attached loads in P. Neittaanmäki, T. Rossi, S. Korotov, E. Onate, J. Periaux, D. Knärzer (eds.). Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering. ECCOMAS 2004, Jyväskylä, Finnland 2004, ISBN 951-39-1869-6

• 4-13.094V
  

  Kolja Elssel, Heinrich Voss: A Modal Approach for the Gyroscopic Quadratic Eigenvalue Problem in P. Neittaanmäki, T. Rossi, S. Korotov, E. Onate, J. Periaux, D. Knärzer (eds.). Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering. ECCOMAS 2004, Jyväskylä, Finnland 2004, ISBN 951-39-1869-6

• 4-13.095V
  

  Frank Bloemeling, Heinrich Voss: Exploiting model-order reduction techniques for solving symmetric rational eigenprolems. pp. 175--181 in J. Dongarra, K. Madsen, J. Wasniewski (eds.) Extended Abstracts of Para '04: State-of-the-Art in Scientific Computing, Lyngby, 2004

• 4-13.097V
  

  M. Lukacova-Medvidova, G. Warnecke, Y. Zahaykah: Third Order Finite Volume Evolution Galerkin (FVEG) Methods for Two-Dimensional Wave Equation System, J. Numer. Math., 11 (3), 2003, 235-251

• 4-13.098V
  

  M. Lukacova-Medvidova, G. Warnecke, Y. Zahaykah: On the Boundary Conditions for EG-methods Applied to the Two-Dimensional Wave Equation Systems, ZAMM 84 (4), 2004, 237-251

• 4-13.099V
  

  M. Lukacova-Medvidova, K.W. Morton, G. Warnecke: Finite Volume Evolution Galerkin /FVEG) Methods for Hyperbolic Systems, SIAM J. Sci. Comp., 26 (1), 2004, 1-30

• 4-13.100V
  

  M. Lukacova-Medvidova, Z. Vlk: Well-balanced Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Source Terms, Int. J. Num. Fluids, 47 (10-11), 2005, 1165-1171

• 4-13.101V
  

  T. Kröger, M. Lukacova-Medvidova: An Evolution Galerkin Scheme for the Shallow Water Magnetohydrodynamic (SMHD) Equations in Two Space Dimension, J. Comp. Phys., 206, 2005, 122-149

• 4-13.102V
  

  M. Lukacova-Medvidova, J. Saibertova: Finite Volume Schemes for Multi-Dimensional Hyperbolic Systems Based on the Use of Bicharacteristics, Appl. Math. 51 (3), 2006, pp. 205--228

• 4-13.103V
  

  M. Lukacova-Medvidova, G. Warnecke, Y.Zahaykah: On the Stability of the Evolution Galerkin Schemes Applied to a Two-dimensional Wave Equation System, SIAM J. Num. Anal. 44 (4), 2006, pp. 1556--1583

• 4-13.104V
  

  M. Lukacova-Medvidova, U. Teschke: Comparison Study of Some Finite Volume and Finite Element Methods for the Shallow Water Equations with Bottom Topography and Friction Terms, ZAMM 86 (11), 2006, pp. 874--891

• 4-13.105V
  

  M. Lukacova-Medvidova: Multidimensional Bicharacteristics Finite Volume Methods for the Shallow Water Equations, Finite Volumes for Complex Applications, Hermes, 2002, 389-397.

• 4-13.106V
  

  M. Lukacova-Medvidova, J. Saibertova: Genuinely Multidimensional Evolution Galerkin Schemes for the Shallow Water Equations, Numerical Mathematics and Advanced Applications, ENUMATH, 2002, 105-114.

• 4-13.108V
  

  M. Lukacova-Medvidova: Numerical Modeling of Shallow Flows Including Bottom Topography and Friction Effects , Proceedings of Algoritmy 2005, Slovakia, (eds. Handlovicova et al.), 2005, 73-82, ISBN 80-227-2192-1.

• 4-13.109V
  

  M. Lukacova-Medvidova, S. Noelle, M. Kraft: Well-balanced Finite Volume Evolution Galerkin Methods for the Shallow Water Equations, J. Comp. Phys. 221(1), 122-147.

• 4-13.110V
  

  M. Lukacova-Medvidova, J. Cerny: Numerical Modelling of non-Newtonian Shear-Thinning Viscoelastic Fluids with Application in Hemodynamics, Proc. of Second International Symposium Modelling of Physiological Flows, 2005.

• 4-13.111V
  

  Heinrich Voss: Numerical methods for sparse nonlinear eigenproblems.pp. 133 -- 160 in I. Marek, J. Holenda (eds.), Proceedings of the XV-th Summer School on Software and Algorithms of Numerical Mathematics, Hejnice, 2003, University of West Bohemia, Pilsen, Czech Republic, 2004

• 4-13.112V
  

  Volker Mehrmann, Heinrich Voss: Nonlinear eigenvalue problems: A challenge for modern eigenvalue methods. GAMM-Mitt. 27, 121--152 (2004)

• 4-13.113V
  

  Marta Markiewicz, Heinrich Voss: A local restart procedure for iterative projection methods for nonlinear symmetric eigenproblems. pp. 212--221 in A. Handlovicova, Z. Kriva, K. Mikula, D. Sevovic (eds.), Algorithmy 2005, 17th Conference on Scientific Computing Vysoke Tatry - Podbanske, Slovakia 2005. Slovak University of Technology, Bratislava 2005

• 4-13.114V
  

  Kolja Elssel, Heinrich Voss: Automated multi-level substructuring for nonlinear eigenproblems. Paper 231 in B.H.V. Topping (ed.), Proceedings of the Tenth International Conference on Civil, Structural, and Engineering Computing, Rome, Italy 2005, ISBN 1-905088-04-3

• 4-13.115V
  

  Heinrich Voss: Electron energy level calculation for a three dimensional quantum dot pp. 586 -- 589 in T. Simos, G. Maroulis (eds.), Advances in Computational Methods in Sciences and Engineering 2005, Lecture Series in Computer and Computational Sciences, Vol. 4, Brill Academic Publishers, Leiden, the Netherlands 2005

• 4-13.116V
  

  Frank Bloemeling, Heinrich Voss: A model-order reduction technique for low-rank rational perturbations of linear eigenproblems. pp. 296--304 in J. Dongarra, K. Madsen, J. Wasniewski (eds.), PARA 2004, Lecture Notes in Computer Science 3732, Springer Verlag, Berlin, Heidelberg, New York 2005

• 4-13.117V
  

  Kolja Elssel, Heinrich Voss: Solving nonlinear eigenproblems by AMLS Proc.Appl.Math.Mech. 5, 765 -- 766 (2005)

• 4-13.118V
  

  Heinrich Voss: Numerical simulation of a three dimensional quantum dot. Proc.Appl.Math.Mech. 5, 783 -- 784 (2005)

• 4-13.119V
  

  Heinrich Voss: Projection methods for nonlinear sparse eigenvalue problems Annals of the European Academy of Sciences, 152 -- 183 (2005)

• 4-13.120V
  

  Heinrich Voss: Numerical calculation of the electronic structure for three-dimensional quantum dots. Comput. Phys. Comm. 174, 441 -- 446 (2006)

• 4-13.121V
  

  Marta Markiewicz, Heinrich Voss: Electronic States in Three Dimensional Quantum Dot/Wetting Layer Structures pp. 684 -- 693 in M. Gavrilova et al. (eds.), Computational Science and its Applications -- ICCSA 2006, Lecture Notes in Computer Science 3980, Springer Verlag, Berlin, Heidelberg, New York 2006

• 4-13.122V
  

  Kolja Elssel, Heinrich Voss: An a priori bound for automated multilevel substructuring. SIAM J. Matr.Anal.Appl. 28, 386 -- 397 (2006)

• 4-13.123V
  

  Lada Mazurenko, Heinrich Voss: Low rank rational perturbations of linear symmetric eigenproblems. Z. Angew. Math. Mech. 86, 606 -- 616 (2006)

• 4-13.124V
  

  Marta Markiewicz, Heinrich Voss: Electronic States in Three Dimensional Quantum Dot/Wetting Layer Structures on CD--ROM Proceedings of Computational Science and its Applications -- ICCSA 2006, Glasgow, UK, May 2006

• 4-13.125V
  

  Heinrich Voss: Iterative projection methods for computing relevant energy states of a quantum dot. J. Comput. Phys. 217, 824 -- 833 (2006)

• 4-13.126V
  

  K. Elssel and H. Voss: Reducing huge gyroscopic eigenproblem by {A}utomated {M}ulti-{L}evel {S}ubstructuring. Archive of Applied Mechanics 76, 171 -- 179 (2006)

• 4-13.127V
  

  Heinrich Voss: A Jacobi--Davidson method for nonlinear and nonsymmetric eigenproblems. Computers & Structures 85, pp. 1284--1292 (2007)
  

• 4-13.128V
  

  Kolja Elssel, Heinrich Voss: Reducing sparse nonlinear eigenproblems by Automated Multi-Level Substructuring. Advances in Engineering Software 39m 828--838 (2008)
  

• 4-13.129V
  

  Kolja Elssel, Heinrich Voss: An error bound for frequency response analysis by AMLS. pp. 58 -- 76 in I. Marek, J. Holenda (eds.), Proceedings of the XVI-th Summer School on Software and Algorithms of Numerical Mathematics, Srni, 2005, Czech Technical University, Prague, Czech Republic, 2006

• 4-13.130V
  

  Jörg Lampe, Heinrich Voss: Second order Arnoldi reduction: Application to some engineering problems,  pp. 153 -- 173 in I. Marek, J. Holenda (eds.), Proceedings of the XVI-th Summer School on Software and Algorithms of Numerical Mathematics, Srni, 2005, Czech Technical University, Prague, Czech Republic, 2006

• 4-13.131V
  

  Heinrich Voss: A new justification of the Jacobi--Davidson method for large eigenvalue problems. Lin. Alg. Appl. 424, pp. 448--455 (2007)
  

• 4-13.132V
  

  Kolja Elssel, Heinrich Voss: An a priori bound for eigenvalue computation by AMLS. Proc. Appl. Math. 6,715 -- 716 (2006)

• 4-13.133V
  

  Marta Betcke and Heinrich Voss: Electronic states of Quantum Dots. Report 85, Institut für Numerische Simulation, TU Hamburg-Harburg 2004
  

• 4-13.134V
  

  Jörg Lampe and Heinrich Voss: On a Quadratic Eigenproblem Occurring in Regularized Total Least Squares. Comput. Stat. Data Anal. 52, pp. 1090--1102 (2007)
  

• 4-13.135V
  

  Marta Betcke and Heinrich Voss: Stationary Schrödinger equations governing electronic states of quantum dots in the presence of spin--orbit splitting. Applications of Mathematics 52, pp. 267--284 (2007)
  

• 4-13.136V
  

  Jens-Peter M. Zemke: Hessenberg eigenvalue-eigenmatrix relations. Linear Algebra and its Applications 414(2-3), 589--606, 2006

• 4-13.137V
  

  M. Lukacova-Medvidova, G. Warnecke, Y. Zahaykah: Finite Volume Evolution Galerkin (FVEG) Methods for Three-Dimensional Wave Equation System, in print Applied Numerical Mathematics, 2006

• 4-13.138V
  

  K Baumbach, M. Lukacova-Medvidova: On the Comparison of Evolution Galerkin and Discontinuous Galerkin Schemes, 2006, Proceeding of International Workshop on Computational Science and its Education, Beijing (2005)

• 4-13.139V
  

  M. Scharpenberg, M. Lukacova-Medvidova: Use of Automatic Differentiation for Sensitivity Analysis of Flight Loads,Proceedings of Workshop on Aicraft System Technologies, 2006

• 4-13.141V
  

  Jens-Peter M. Zemke: Abstract perturbed Krylov methods

• 4-13.142V
  

  Kolja Elssel, Heinrich Voss: Intermediate reduction steps improve automated multi-level substructuring. Paper 87 in B.H.V. Topping (ed.), CD-Proceedings of the Eleventh International Conference on Civil, Structural and Enviromental Computing, St. Julians, Malta 2007, ISBN 078-1-905088-16-4
  

• 4-13.143V
  

  Heinrich Voss: Robust expansion of subspaces in iterative projection methods for large eigenvalue problems. Proc. Appl. Math. Mech. 7, pp. 1021001--1021002 (2007)
  

• 4-13.144V
  

  Marta M. Betcke, Heinrich Voss: Electron energy level calculations for semiconductor nanostructures. Proc. Appl. Math. Mech. 7, pp. 1020403--1020404 (2007)
  

• 4-13.145V
  

  Jörg Lampe, Heinrich Voss: Regularized total least syuares based on the nonlinear Arnoldi method. Proc. Appl. Math. Mech. 7, pp. 1020407--1020408 (2007)
  

• 4-13.148V
  

  M. Lukacova, A. Zauskova: Numerical study of shear-dependent non-Newtonian fluids in compliant vessels.

  TU Hamburg-Harburg, Institut für Numerische Simulation, Report 110 (2007)
  

• 4-13.149V
  

  K.R. Arun, S.V. Raghurama Rao, M. Lukacova, Ph. Prasad: A Genuinely Multi-dimensional Relaxation Scheme for Hyperbolic Conservations Laws. Proceedings of the 7th Asian Computational Fluid Dynamics Conference, Bangalore, 2007
  

• 4-13.150V
  

  J . Lampe, H. Voss: Global convergence of RTLSQEP: A solver of regularized total least squares problems via quadratic eigenproblems. submitted to J. Math. Modelling Anal. (2007)
  

• 4-13.151V
  

  M. Betcke, H. Voss: Numerical simulation of electronic properties of coupled quantum dots on wetting layers. submitted to Nanotech. (2007)
  

• 4-13.152V
  

  M. Betcke, H. Voss: Restarting projection methods for rational eigenproblems. Submitted to Math. Modelling Anal. (2007)
  

• 4-13.153V
  

  K. Elssel, H. Voss: Reducing sparse nonlinear eigenproblems by Automated Multi-Level Substructuring. Submitted to Advances in Engineering Software (2007)
  

• 4-13.154V
  

  M. Stammberger, H. Voss: Automated Multi-Level Substructuring for a Fluid-Solid Vibration Problem. Submitted to Num. Math. and Adv. Appl. (2007)
  

• 4-13.155V
  

  A. Zauskova, M. Lukacova-Medvidova: Numerical Modelling of Shear-Thinning Non-Newtonian Flows in Compliant Vessels, Proceedings of ICIAM 2007, Zürich 2007.

• 4-13.156V
  

  K.R.Arun, S.V. Ragurama Rao, M. Lukacova-Medvidova, Ph. Prasad: A Genuinely Multi-dimensional Relaxatioan Scheme for Hyperbolic Conservation Laws Proceedings of the 7th Asian Computational Fluid Dynamics Conference, Bangalore 2007.

• 4-13.157V
  

  M. Lukacova-Medvidova, A. Zauskova: Numerical Modelling of Complex Flow in Compliant Vessels, 6 pages, Proceedings of the ICFD Conference Reading, 2007.

• 4-13.158V
  

  M. Scharpenberg, M. Lukacova-Medvidova: Use of Automatic Differentiation for Sensitivity Analysis of Flight Loads, , Proceedings of Workshop on Aicraft Systems and Technologies, Hamburg, (ed. O. von Estorff), 2007, 407-414, ISBN 978-3-8322-6046-0.

• 4-13.159V
  

  M. Lukacova-Medvidova, G. Warnecke, Y. Zahaykah: Finite Volume Evolution Galerkin (FVEG) Methods for Three-Dimensional Wave Equation System, Appl. Num. Math.57(9), 2007, 1050-1064.

• 4-13.160V
  

  M. Lukacova-Medvidova, S. Noelle, M. Kraft: Well-balanced Finite Volume Evolution Galerkin Methods for the Shallow Water Equations, J. Comp. Phys. 221, 2007, 122-147.

Dissertationen

• 4-13.066D
  

  Birgit Hofferek Anwendung der Kondensation mit verallgemeinerten Mastern in der Eigenwert-Reanalysis, 2001

• 4-13.067D
  

  Andreas Michael Pelzer Systematische Auswahl von Masterfreiheitsgraden für die parallele Kondensation von Eigenwertaufgaben, Shaker Verlag, Aachen, 2001

• 4-13.077D
  

  Svenja Töter Numerisches Lösen von technischen Modellen mit gekoppelten Substruktur am Beispiel der Kohleverbrennung in einer stationären Druckwirbelschichtfeuerung

• 4-13.096D
  

  Aleksandra Kostic Verfahren zur Bestimmung einiger extremaler Eigenwerte einer symmetrischen Toeplitz Matrix

• 4-13.140D
  

  Kolja Elssel Automated Multilevel Substructuring fot Nonlinear Eigenvalue Problems

• 4-13.146D
  

  Marta Betcke: Iterative Projection Methods for Symmetric Nonlinear Eigenvalue Problems with Applications
  

• 4-13.147D
  

  Frank Blömeling: Multi-Level Substructuring Methods for Model Order Reduction