1. M. Weiser, A. Schiela, P. Deuflhard: Asymptotic Mesh Independence of Newton's Method Revisited. SIAM J. Numer. Anal. 42 (5), pp. 1830-1845 (2005).

  2. M. Weiser, P. Deuflhard, B. Erdmann: Affine conjugate adaptive Newton methods for nonlinear elastomechanics. Opt. Meth. Softw. 22 (3): 413-431, 2007.

  3. P. Deuflhard, A. Hohmann: Numerische Mathematik 1. Eine algorithmisch orientierte Einführung. 4. Auflage. de Gruyter: Berlin, New York (2008).

  4. P. Deuflhard: Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms. Series Computational Mathematics 35, Springer (2004).

  5. P. Deuflhard, U. Nowak, M. Weiser: Affine Invariant Adaptive Newton Codes for Discretized PDEs. ZIB-Report 02-33 (October 2002). In [17].

  6. P. Deuflhard: Adaptive Pseudo-transient Continuation for Nonlinear Steady State Problems. Konrad-Zuse-Zentrum Berlin. ZIB-Report 02-14 (March 2002). In [17].

  7. P. Deuflhard, A. Hohmann: Numerical Analysis in Modern Scientific Computing: An Introduction. Second revised and extended edition. Texts in Applied Mathematics 43, Springer (2003).

  8. P. Deuflhard, A. Hohmann: Numerische Mathematik I. Eine algorithmisch orientierte Einführung. 3. überarbeitete und erweiterte Auflage. de Gruyter: Berlin, New York (2002).

  9. P. Deuflhard, A. Hohmann: Numerical Analysis. A First Course in Scientific Computation. Verlag de Gruyter: Berlin, New York (1995).

  10. P. Deuflhard, F. A. Potra: Asymptotic Mesh Independence of Newton-Galerkin Methods Via a Refined Mysovskii Theorem. SIAM J. Numer. Anal., 29, pp. 1395-1412 (1992).

  11. P. Deuflhard, A. Hohmann: Numerische Mathematik I. Eine algorithmisch orientierte Einführung. Verlag de Gruyter: Berlin, New York (1991).

  12. P. Deuflhard: Global Inexact Newton Methods for Very Large Scale Nonlinear Problems. IMPACT Comp. Sci. Eng.3, pp. 366-393 (1991).

  13. P. Deuflhard, B. Fiedler, P. Kunkel: Efficient Numerical Pathfollowing Beyond Critical Points. SIAM J. Numer. Anal. 24, pp. 912-927 (1987).

  14. P. Deuflhard: A Stepsize Control for Continuation Methods and its Special Application to Multiple Shooting Techniques. Numer. Math. 33, pp. 115-146 (1979) (contains new results beyond habilitation thesis).

  15. P. Deuflhard: Nonlinear Equation Solvers in Boundary Value Problem Codes. In: B. Childs et al. (eds.): Proc. Working Conf. on ``Codes for BVPs in ODEs'', Houston/Texas 1978, Springer Lecture Notes Computer Science 74, pp. 40-66 (1979).

  16. P. Deuflhard, G. Heindl: Affine Invariant Convergence Theorems for Newton's Method and Extensions to Related Methods. SIAM J. Numer. Anal. 16, pp. 1-10 (1979).

  17. P. Deuflhard, H.-J. Pesch, P. Rentrop: A Modified Continuation Method for the Numerical Solution of Nonlinear Two-Point Boundary Value Problems by Shooting Techniques. Numer. Math. 26, pp. 327-343 (1976).

  18. Habilitation thesis, Mathematics (Dec. 1976): A Stepsize Control for Continuation Methods with Special Application to Multiple Shooting Techniques. Math. Institute, Technical University of Munich.

  19. P. Deuflhard: A Relaxation Strategy for the Modified Newton Method. In: Bulirsch/Oettli/Stoer (eds.): Optimization and Optimal Control. Springer Lecture Notes 477, pp. 59-73 (1975).

  20. P. Deuflhard: A Modified Newton Method for the Solution of Ill-Conditioned Systems of Nonlinear Equations with Application to Multiple Shooting. Numer. Math. 22, pp. 289-315 (1974).

  21. Dissertation, Mathematics (Dec. 1972): Ein Newton-Verfahren bei fast singulärer Funktionalmatrix zur Lösung von nichtlinearen Randwertaufgaben mit der Mehrzielmethode, (supervisor: R. Bulirsch). Math. Institute, University of Cologne.