Universität | Fakultät | Institut für Informatik | Mathematisches Institut | MPI für Mathematik in den Naturwissenschaften

Publikationsliste von Peter Kunkel

[1]  P. Deuflhard, B. Fiedler, P. Kunkel: Efficient numerical pathfollowing beyond critical points. SIAM J. Numer. Anal. 24, 912-927 (1987)
[2]  P. Deuflhard, B. Fiedler, P. Kunkel: Numerical pathfollowing beyond critical points in ODE models. In "Large Scale Scientific Computing", Deuflhard, Engquist (eds.), Birkhäuser, Boston (1987)
[3]  P. Kunkel: Quadratically convergent methods for the computation of unfolded singularities. SIAM J. Numer. Anal. 25, 1392-1408 (1988)
(abstract or preprint)
[4]  B. Fiedler, P. Kunkel: A quick multiparameter test for periodic solutions. In "Bifurcation: Analysis, Algorithms, Applications", Küpper, Seydel, Troger (eds.), Birkhäuser, Basel (1987)
[5]  B. Fiedler, P. Kunkel: Multistability, scaling, and oscillations. In "Modelling of Chemical Reaction Systems", Deuflhard, Ebert, Jäger, Warnatz, Wolfrum (eds.), Birkhäuser, Boston (1987)
[6]  G. Bader, P. Kunkel: Continuation and collocation for parameter dependent boundary value problems. SIAM J. Sci. Stat. Comput. 10, 72-88 (1989)
(abstract or preprint)
[7]  P. Kunkel: Efficient computation of singular points. IMA J. Numer. Anal. 9, 421-433 (1989)
(abstract or preprint)
[8]  P. Kunkel, V. Mehrmann: Numerical solution of differential algebraic Riccati equations. Lin. Alg. Appl. 137, 39-66 (1990)
(abstract or preprint)
[9]  P. Kunkel, V. Mehrmann: Numerical solution of differential algebraic Riccati equations. In "Signal Processing, Scattering and Operator Theory, and Numerical Methods", Kaashoek, van Schuppen, Ran (eds.), Birkhäuser, Boston (1990)
[10]  G. Bader, P. Kunkel: Continuation and Gauss-Newton techniques. In "Computational Ordinary Differential Equations", Cash, Gladwell (eds.), Clarendon Press, Oxford (1992)
(abstract or preprint)
[11]  P. Kunkel: Augmented systems for generalized turning points. In "Bifurcation and Chaos: Analysis, Algorithms, Applications", Seydel, Schneider, Küpper, Troger (eds.), Birkhäuser (1991)
(abstract or preprint)
[12]  P. Kunkel, V. Mehrmann: Smooth factorizations of matrix valued functions and their derivatives. Numer. Math. 60, 115-131 (1991)
(abstract or preprint)
[13]  P. Kunkel, V. Mehrmann: Canonical forms for linear differential-algebraic equations with variable coefficients. J. Comput. Appl. Math. 56, 225-251 (1995)
(abstract or preprint)
[14]  P. Kunkel: A tree-based analysis of a family of augmented systems for the computation of singular points. IMA J. Numer. Anal. 16, 501-527 (1996)
(abstract or preprint)
[15]  P. Kunkel, V. Mehrmann: A new class of discretization methods for the solution of linear differential-algebraic equations with variable coefficients. SIAM J. Numer. Anal. 33, 1941-1961 (1996)
(abstract or preprint)
[16]  P. Kunkel, V. Mehrmann: A new look at pencils of matrix valued functions. Lin. Alg. Appl. 212/213, 215-248 (1994)
(abstract or preprint)
[17]  P. Kunkel, V. Mehrmann: Generalized inverses of differential-algebraic operators. SIAM J. Matrix Anal. Appl. 17, 426-442 (1996)
(abstract or preprint)
[18]  R. Byers, P. Kunkel, V. Mehrmann: Regularization of linear descriptor systems with variable coefficients. SIAM J. Contr. Optimiz. 35, 117-133 (1997)
(abstract or preprint)
[19]  P. Kunkel, V. Mehrmann: Analysis und Numerik linearer differentiell-algebraischer Gleichungen. In "Wissenschaftliches Rechnen -- Eine Einführung in das Scientific Computing", Herzberger (Hrsg.), Akademie Verlag, Berlin, 233-278 (1995)
(abstract or preprint)
[20]  P. Kunkel, V. Mehrmann, W. Rath, J. Weickert: A new software package for linear differential-algebraic equations. SIAM J. Sci. Comput. 18, 115-138 (1997)
(abstract, preprint or software)
[21]  P. Kunkel, V. Mehrmann: Local and global invariants of linear differential-algebraic equations and their relation. Electr. Trans. Numer. Anal. 4, 138-157 (1996)
(abstract or preprint)
[22]  M. Hermann, P. Kunkel, W. Middelmann: Augmented systems for the computation of singular points in Banach space problems. Z. Angew. Math. Mech. 78, 39-50 (1998)
(abstract or preprint)
[23]  P. Kunkel, V. Mehrmann, W. Rath, J. Weickert: GELDA -- Ein Softwarepaket zur Lösung linearer differentiell-algebraischer Gleichungen mit beliebigem Index. In "Software Engineering im Scientific Computing", Mackens, Rump (Hrsg.), Vieweg, Braunschweig (1996)
(abstract or preprint)
[24]  P. Kunkel, V. Mehrmann: The linear quadratic optimal control problem for linear descriptor systems with variable coefficients. Math. Control Signals Systems 10, 247-264 (1997)
(abstract or preprint)
[25]  P. Kunkel: Buchbesprechung für "Y. A. Kuznetsov: Elements of Applied Bifurcation Theory, Springer Verlag 1995". Z. Angew. Math. Mech. 77, 392 (1997)
[26]  P. Kunkel, V. Mehrmann: Regular solutions of nonlinear differential-algebraic equations and their numerical determination. Numer. Math. 79, 581-600 (1998)
(abstract or preprint)
[27]  P. Kunkel, O. von dem Hagen: Numerical solution of infinite-horizon optimal-control problems. Computational Economics 16, 189-205 (2000)
(abstract, preprint or software)
[28]  P. Kunkel, V. Mehrmann, W. Rath: Numerical solution of variable coefficient DAEs and descriptor systems. In "Scientific Computing in Chemical Engineering II -- Simulation, Image Processing, Optimization, and Control", Keil, Mackens, Voß, Werther (Hrsg.), Springer Verlag, Berlin (1999)
[29]  P. Kunkel, V. Mehrmann, W. Rath: Analysis and numerical solution of control problems in descriptor form. Math. Control Signals Systems 14, 29-61 (2001)
(abstract or preprint)
[30]  P. Kunkel, V. Mehrmann: Analysis of over- and underdetermined nonlinear differential-algebraic systems with application to nonlinear control problems. Math. Control Signals Systems 14, 233-256 (2001)
(abstract or preprint)
[31]  P. Kunkel, R. Stöver: Symmetric collocation methods for linear differential-algebraic boundary value problems. Numer. Math. 91, 475-501 (2002)
(abstract or preprint)
[32]  P. Kunkel, V. Mehrmann: Index reduction for differential-algebraic equations by minimal extension. Z. Angew. Math. Mech. 84, 579-597 (2004)
(abstract or preprint)
[33]  P. Kunkel, V. Mehrmann, I. Seufer: GENDA: A software package for the numerical solution of GEneral Nonlinear Differential-Algebraic equations. Preprint 730, Institut für Mathematik, TU Berlin (2002)
(abstract or preprint)
[34]  P. Kunkel, V. Mehrmann, R. Stöver: Multiple shooting for unstructured nonlinear differential-algebraic equations of arbitrary index. SIAM J. Numer. Anal. 42, 2277-2297 (2004)
(abstract or preprint)
[35]  P. Kunkel, V. Mehrmann, R. Stöver: Symmetric collocation for unstructured nonlinear differential-algebraic equations of arbitrary index. Numer. Math. 98, 277-304 (2004)
(abstract or preprint)
[36]  P. Kunkel, V. Mehrmann: Characterization of classes of singular linear differential-algebraic equations. Electron. J. Linear Algebra 13, 359-386 (2005)
(abstract or preprint)
[37]  P. Kunkel: Buchbesprechung für "P. Deuflhard: Newton Methods for Nonlinear Problems, Springer Verlag 2004". Z. Anal. Anwendungen 24, 207-209 (2005)
[38]  P. Kunkel, V. Mehrmann, S. Seidel: A MATLAB toolbox for the numerical solution of differential-algebraic equations. Preprint 16/2005, Institut für Mathematik, TU Berlin (2005)
(preprint)
[39]  P. Kunkel, V. Mehrmann: Differential-Algebraic Equations -- Analysis and Numerical Solution. EMS Publishing House, Zürich (2006)
(list of errata)
[40]  P. Kunkel, V. Mehrmann, M. Schmidt, I. Seufer, A. Steinbrecher: Weak formulations of linear differential-algebraic systems. Preprint 16/2006, Institut für Mathematik, TU Berlin (2006)
(abstract or preprint)
[41]  P. Kunkel, V. Mehrmann: Necessary and sufficient conditions in the optimal control for general nonlinear differential-algebraic equations. Preprint 355, DFG Forschungszentrum MATHEON, Berlin (2006)
(abstract or preprint)
[42]  P. Kunkel, V. Mehrmann: Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index. Math. Control Signals Systems (2008)
(abstract)
[43]  P. Kunkel, V. Mehrmann: Stability properties of differential-algebraic equations and spin-stabilized discretizations. Electr. Trans. Numer. Anal. 26, 385-420 (2007)
(abstract, preprint or graphics)
[44]  I. Okay, S. L. Campbell, P. Kunkel: The additional dynamics of least squares completions for linear differential algebraic equations. Lin. Alg. Appl. 425, 471-485 (2007)
(abstract)
[45]  I. Okay, S. L. Campbell, P. Kunkel: Completions of implicitly defined vector fields and their applications. Proc. of the 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS 08), Blacksburg, VA (2008)
(abstract)
[46]  P. Kunkel: Buchbesprechung für "R. Plato: Concise Numerical Mathematics, Amer. Math. Soc. 2004". Jahresbericht der Deutschen Mathematiker-Vereinigung 109, 17 (2007)
[47]  P. Kunkel, V. Mehrmann: Optimal control for linear descriptor systems with variable coefficients. In Proceedings of the IEEE Conference NLASSC 2007, Kharagpur, India (2011)
(abstract)
[48]  I. Okay, S. L. Campbell, P. Kunkel: Completions of implicitly defined linear time varying vector fields. Lin. Alg. Appl. 431, 1422-1438 (2009)
(abstract)
[49]  S. L. Campbell, P. Kunkel: Completions of nonlinear DAE flows based on index reduction techniques and their stabilization. J. Comput. Appl. Math. 233, 1021-1034 (2009)
(abstract)
[50]  S. L. Campbell, P. Kunkel, K. Bobinyec: A minimal norm corrected underdetermined Gauß-Newton procedure. Appl. Numer. Math. 62, 592-605 (2012)
(abstract)
[51]  K. Bobinyec, S. L. Campbell, P. Kunkel: Stabilized completions of differential algebraic equations and the design of observers. In Proc. Neural, Parallel, and Scientific Computation, Atlanta, GA (2010)
(abstract)
[52]  L. Klotz, P. Kunkel, D. Rudolph: Convergence in measure with respect to a matrix-valued measure and some matrix completion problems. Lin. Alg. Appl. 434, 990-999 (2011)
(abstract)
[53]  K. Bobinyec, S. L. Campbell, P. Kunkel: Full order observers for linear DAEs. In Proc. 50th IEEE Conference on Decision and Control, Orlando, FL (2011)
(abstract)
[54]  P. Kunkel, V. Mehrmann: Formal adjoints of linear DAE operators and their role in optimal control. Electron. J. Linear Algebra 22, 672-693 (2011)
(abstract)
[55]  K. Bobinyec, S. L. Campbell, P. Kunkel: Maximally reduced observers for linear time varying DAEs. In Proc. IEEE Multi-Conference on Systems and Control, Denver, CO (2011)
(abstract)
[56]  P. Kunkel, V. Mehrmann, L. Scholz: Self-adjoint differential-algebraic equations. Math. Control Signals Systems 26, 47-76 (2014)
(abstract)
[57]  S. L. Campbell, P. Kunkel, V. Mehrmann: Regularization of linear and nonlinear descriptor systems. In "Control and Optimization with Differential-Algebraic Constraints", Biegler, Campbell, Mehrmann (eds.), SIAM, Philadelphia (2012)
(abstract)
[58]  S. L. Campbell, P. Kunkel: On the numerical treatment of linear-quadratic optimal control problems for general linear time-varying differential-algebraic equations. J. Comput. Appl. Math. 242, 213-231 (2013)
(abstract)
[59]  K. Bobinyec, S. L. Campbell, P. Kunkel: Constructing observers for linear time varying DAEs. In 51th IEEE Conference on Decision and Control, Maui, HI (2012)
(abstract)
[60]  P. Kunkel: Differential-Algebraic Equations: Theory and Simulation. In "Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory", Benner, Bollhöfer, Kressner, Mehl, Stykel (eds.), Springer, Heidelberg (2015)
(abstract)
[61]  S. L. Campbell, P. Kunkel: Solving Higher Index DAE Optimal Control Problems. Numer. Algebra Control Optim. 6, 447-472 (2016)
(abstract)