1.Diplomarbeit, Dissertation; Hablititationsschrift
2.Publikationen
3.Proceedings
Diplomarbeit, Dissertation, Habilitationsschrift
* Intervallarithmetische Iterationsverfahren für nichtlineare Gleichungssysteme mit Anwendungen auf Vektorrechnern.
Habilitationsschrift, Technische Universität Berlin, 1987
* Schnelle fast global konvergente Verfahren für die Fünf-Punkt-Diskretisierung der Poissongleichung mit Dirichletschen randbedingungen auf Rechteckgebieten.
PhD Thesis, Technische Universität Berlin, 1981
* Hyponormale Operatoren.
Diploma Thesis, Technische Universität Berlin, 1978
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Publikationen
* Synchronous and Asynchronous Interval Newton-Schwarz Methods for a Class of Large Systems of Nonlinear Equations.
Reliable Computing 7 (2001), 281 - 306.
* (with A. Frommer, D. B. Szyld) Asynchronous Weighted Additive Schwarz Methods.
Electr. Trans. Num. Anal. 5 (1997), 48 - 61.
* (with A. Frommer) A Unified Representation and Theory of Algebraic Additive Schwarz and Multisplitting Methods.
SIAM J. Matrix Anal. Appl..18 (1997), 893-912.
* The Parallel Solution of Tridiagonal and Block Tridiagonal Systems of Equations by a Schur Complement Method.
Parallel Alg. Appl. 6 (1995), 207 - 227.
* (with A. Frommer) Asynchronous Parallel Methods for Enclosing Solutions of Nonlinear Equations.
J. Comp. Appl. Math. 60 (1995), 47 - 62.
* Suboptimal Enclosures for the Interval Buneman Algorithm for Arbitrary Block Dimension.
Interval Computations. 1 (1994), 51 - 89.
* An Interval Arithmetic Domain Decomposition Method for a Class of Elliptic PDE on Nonrectangular Domains.
J. Comm. Appl. Math. 50 (1994), 509 - 521.
* The Interval Buneman Algorithm for Arbitrary Block Dimension.
Computing Suppl. 9 (1993), 213 - 231.
* Memory Access Problems in Interval Arithmetic Block Cyclic Reduction on Vector Computers.
Par. Comp. 17 (1991), 329 - 346.
* Truncated Interval Arithmetic Block Cyclic Reduction.
Appl. Num. Math. 5 (1989), 495 - 527.
* Cyclic Reduction for Tridiagonal Systems of Equations with Interval Coefficients on Vector Computers.
SIAM J. Num. Anal. 26 (1989), 661 - 680.
* Interval Arithmetic Methods for Systems of Nonlinear Equations Arising from Discretizations of Quasilinear Elliptic and Parabolic Partial Differential Equations.
Appl. Num. Math. 3 (1987), 357-387.
* Iterative Methods for Systems of Equations with Interval Coefficients and Linear Form.
Computing 38 (1987), 143 - 161.
* Interval Arithmetic Multistep Methods for Nonlinear Systems of Equations.
Japan J. Appl. Math. 4 (1987), 139 - 171.
* Interval Arithmetic Block Cyclic Reduction on Vector Computers.
J. Par. Distr. Comp. 4 (1987), 459 - 487.
* A Truncated Cyclic Reduction Algorithm for Interval Arithmetic Tridiagonal Systems of Equations.
Int. J. Comp. Math. 21 (1987), 161 - 184.
* An Interval Arithmetic Method for the Solution of Nonlinear Systems of Equations on a Vector Computer.
Par. Comp. 4 (1987), 323 - 337
* Almost Globally Convergent Interval Methods for Discretizations of Nonlinear Elliptic Partial Differential Equations.
SIAM J. Num. Anal. 23 (1985), 304 - 324.
* Newton-like Interval Methods for Large Nonlinear Systems of Equations on Vector Computers.
Comp. Phys. Comm. 37 (1985), 223 - 232.
* Accelerating Krawczyk-like Interval Algorithms for the Solution of Nonlinear Systems of Equations by Using Second Derivatives.
Computing 35 (1985), 355 - 367.
* Krawczyk-like Algorithms for the Solution of Systems of Nonlinear Equations.
SIAM J. Num. Anal. 22 (1985), 792 - 810.
* The Solution of Nonlinear Elliptic Dirichlet Problems on Rectangles by Almost Globally Convergent Interval Methods.
SIAM J.Sc.St.Comp. 6 (1985), 617 - 6
38.
* Symmetric Iterative Interval Method for systems of Nonlinear Equations.
Computing 31 (1984), 153 - 164.
* An Interval Arithmetic Approach for the Construction of an Almost Globally Convergent Method for the Solution of the Nonlinear Poisson Equation on the Unit Square.
SIAM J. Sci. Stat. Comp. 5 (1984), 427 - 452.
Nach oben
Proceedings
* Asynchronous Iteration Methods in Interval Arithmetic Domain Decomposition.
Proceedings of INTERVAL98, (Nanking, 20.4.98 - 23.4.98).
Submitted to Reliable Computing.
* (with A. Frommer) A Unified Representation of Multisplitting and Algebraic Schwarz Methods.
Proceedings of GAMM '96 (Prag, 28.5.96 - 31.5.96).
ZAMM 77 Suppl. 2 (1996), 557 - 558.
* (with G. Baerwolff) Parallel Domain Decomposition for a Finite Volume Method in 3D Turbulence Modeling.
Proceedings of GAMM '96, (Prag, 28.5.96 - 31.5.96).
ZAMM 77 Suppl. 2 (1996), 511 - 512.
* (with G. Baerwolff) A Parallel Domain Decomposition Algorithm for 3D Turbulence Modeling
In: H.R.Arabnia (Eds), Proceedings of theInternational Conference on Parallel and Distributed Processing Techniques and Applications (Sunnyvale, 9.8.96 - 11.8.96). Vol. I, 44-55
* Globally Convergent Iterative Domain Decomposition Methods for the Parallel Solution of a Class of Nonlinear Systems of Equations.
In: G. Alefeld, A. Frommer, B. Lang (Eds.), Scientific Computing and Validated Numerics, Proceedings of SCAN '95, International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (Wuppertal, 26.9.95 - 29.9.95), Akademie Verlag, Berlin, 1996, 280 - 286.
* A Globally Convergent Schwarz Alternating Method for the Parallel Solution of a Class of Nonlinear Systems of Equations
Proceedings of ICIAM'95, Third International Conference on Industrial and Applied Mathematics (Hamburg, 3.7.95 - 7.7.95).
ZAMM 76 Suppl. 2 (1996), 529 - 530
* Numerical Experiments with PVM on Workstation Clusters.
Proceedings of the First European PVM User«s Group Meeting (Rom, 9.10.94 - 11.10.94,Universit·t Rom, 1994.
* The Parallel Solution of Tridiagonal Linear Systems of Equations by a Schur Complement Method.
Proceedings of "IMACS 14 - World Congress on Computation and Applied Mathematics" (Atlanta, Georgia, 11.7.94 - 15.7.94, ), Georgia Institute of Technology, 1994,.late papers volume, 63 - 65.
* Suboptimal Enclosures for the Interval Buneman Algorithm for Arbitrary Block Dimension.
Proceedings of the International Conference on Numerical Analysis with Automatic Result Verifcation (Lafayette, Louisiana, 25.2.93 - 1.3.93).
Interval Computations. 1 (1994), 51 - 89.
* An Interval Arithmetic Domain Decomposition Method for a Class of Elliptic PDE on Nonrectangular Domains.
Proceedings of ICCAM'92 - International Congress on Computational and Applied Mathematics (Leuven, 26.6.92 - 1.7.92)
J. Comm. Appl. Math. 50 (1994), 509 - 521.
* Parallel Domain Decomposition Enclosure Methods for a Class of Nonlinear Partial Boundary Value Problems on Irregular Domains. ICIAM'91, Second International Conference on Industrial and Applied Mathematics (Washington, 9.7.91 - 13.7.91).
* Vektorisierte Simulation einer Intervallarithmetik.
In: Mitteilungen der Gesellschaft für Informatik - Parallelalgorithmen und Rechnerstrukturen - Nr.7(PARS Workshop München, 10.4.89 - 12.4.89), 75 - 85.
* Verkürzte intervallarithmetische Blockzyklische Reduktion.
ZAMM 69 (1989), T191 - T193.
* Interval Methods for the Numerical Solution of a Class of Nonlinear Parabolic Partial Differential Equations.
ICIAM'87, First International Conference on Industrial and Applied Mathematics (Paris, 29.6.87 - 3.7.87).
* Speicherzugriffskonflikte auf verschiedenen Vektorrechnern bei einer speziellen numerischen Anwendung.
In: Mitteilungen der Gesellschaft für Informatik - Parallelalgorithmen und Rechnerstrukturen - Nr.4 (PARS Workshop KFA Jülich, 2.4.87 - 3.4.87), 61 - 70.
* L'utilisation d'ordinateurs vectoriels ou parallèles pour la solution d'une classe de systèmes d'équations nonlinéaires par des mèhodes du calcul des intervalles.
In: J. Fleckinger, J. Lehn (Eds.): Proceedings zum Seminar " Der Einfluß der Informatik auf die Mathematikausbildung von Ingenieuren" des Büros "Grandes Ecoles - Technische Hochschulen der WRK" (Toulouse, 1.10.86 - 5.10.86), 197 - 214.
* Newton-like Interval Methods for Large Nonlinear Systems of Equations on Vector Computers.Vector and Parallel Processors in Computational Science, Proceedings of the Second International Conference on Vector and Parallel Processors in Computational Science (Oxford, 28.8.84 - 31.8.84),
Comp. Phys. Comm. 37 (1985), 223 - 232.
* Multitasking Algorithms on CRAY Computers for Interval Arithmetic Newton-like Methods for a Class of Systems of Nonlinear Equations. In: W. H·ndler, D. Haupt, R. Jeltsch, W. Juling, O. Lange (Eds): Proceedings of CONPAR '86 (Aachen, 17.9.86 - 19.9.86), Springer lecture Notes in Computer Science 237, Berlin-Heidelberg-New York, 1986, 104 - 111.
* Numerical Experiments with Interval Arithmetic Newton-like Methods for a Class of Large Sparse Systems of Nonlinear Equations on CRAY- and SIEMENS-(FUJITSU) Vector Computers.
In: H. Ehlich, K. H. Schlo§er (Eds): Proceedings of the 1986 Conferences on Supercomputers and Applications - 9th conference (Bochum, 14. 5.86, Bochumer Schriften zur parallelen Datenverarbeitung 12, Ruhr-Universit·t Bochum, 1987, 7 - 26.
* Truncated Algorithms for Interval Arithmetic Block Cyclic Reduction.
In: P. Chenin, C. di Crescenzo, F. Robert (Eds): "Computers and computing - Le calcul demain ", Proceedings of the International Conference "Future Trends in Computing" (Grenoble, 2.12.85- 6.12.85), Wiley-Masson, Paris und New York, 1986, 392 - 396.
* Interval Arithmetic Block Cyclic Reduction for Block Tridiagonal Matrices of the Form (T, A, T).
In: M. Feilmeier, G. Joubert, U. Schendel (Eds): Proceedings zu Parallel Computing '85 (Berlin, 23.9.85 - 25.9.85), North-Holland, Amsterdam, 1986, 199 - 204.
* An Interval Arithmetic Method for the Solution of Systems of Equations on a Vector Computer.
In: Mitteilungen der Gesellschaft für Informatik - Parallelalgorithmen und Rechnerstrukturen - Nr.2 (PARS Workshop Erlangen, 12.4.84 - 13.4.84), 23 - 27.
* Improvement of an Interval Arithmetic Method for the Solution of Systems of Nonlinear Equations.
ZAMM 65 (1985), T403 - T404.
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