Numerical Methods for Parameter Estimation in Nonlinear Differential Algebraic Equations
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[1] Rolf Rannacher,et al. Modeling, Simulation and Optimization of Complex Processes, Proceedings of the International Conference on High Performance Scientific Computing, March 10-14, 2003, Hanoi, Vietnam , 2005, HPSC.
[2] James V. Beck,et al. Parameter Estimation in Engineering and Science , 1977 .
[3] Hans Bock,et al. Identification of Rate Constants in Bistable Chemical Reactions , 1983 .
[4] Irene Bauer. Numerische Verfahren zur Lösung von Anfangswertaufgaben und zur Generierung von ersten und zweiten Ableitungen mit Anwendungen bei Optimierungsaufgaben in Chemie und Verfahrenstechnik , 1999 .
[5] Baake,et al. Fitting ordinary differential equations to chaotic data. , 1992, Physical review. A, Atomic, molecular, and optical physics.
[6] Hans Bock,et al. Optimal experimental design for parameter estimation in column outflow experiments , 2002 .
[7] Stefan Körkel,et al. Numerical Methods for Nonlinear Experimental Design , 2003, HPSC.
[8] Stefan Körkel,et al. Numerische Methoden für Optimale Versuchsplanungsprobleme bei nichtlinearen DAE-Modellen , 2002 .
[9] Svetlana Prischepova,et al. A new algorithm for minimax and l 1-norm optimization , 1998 .
[10] F. Finocchi,et al. Chemical Reactions and Dust Destruction in Protoplanetary Accretion Disks , 1996 .
[11] Hans Bock,et al. Least squares parameter estimation in chaotic differential equations , 1993 .
[12] Hans Bock,et al. Numerical methods for optimum experimental design in DAE systems , 2000 .
[13] W. Murray,et al. A Projected Lagrangian Algorithm for Nonlinear $l_1 $ Optimization , 1981 .
[14] Marc C. Steinbach,et al. Exploiting Invariants in the Numerical Solution of Multipoint Boundary Value Problems for DAE , 1998, SIAM J. Sci. Comput..
[15] Andreas Griewank,et al. Evaluating derivatives - principles and techniques of algorithmic differentiation, Second Edition , 2000, Frontiers in applied mathematics.
[16] P. Laycock,et al. Optimum Experimental Designs , 1995 .
[17] Reinhold von Schwerin. MultiBody System SIMulation - Numerical Methods, Algorithms, and Software , 1999, Lecture Notes in Computational Science and Engineering.
[18] G. C. Tiao,et al. Bayesian inference in statistical analysis , 1973 .
[19] Ekaterina A. Kostina. The long step rule in the bounded-variable dual simplex method: Numerical experiments , 2002, Math. Methods Oper. Res..
[20] Ekaterina Kostina,et al. Robust Parameter Estimation in Dynamic Systems , 2004 .
[21] Johannes P. Schlöder,et al. On the Role of Natural Level Functions to Achieve Global Convergence for Damped Newton Methods , 1999, System Modelling and Optimization.
[22] Johannes P. Schlöder,et al. Modelling the fast fluorescence rise of photosynthesis , 1992 .
[23] Uri M. Ascher,et al. Collocation for two-point boundary value problems revisited , 1986 .
[24] Ursula Klingmüller,et al. Modeling the Nonlinear Dynamics of Cellular Signal Transduction , 2004, Int. J. Bifurc. Chaos.
[25] V. Schulz,et al. Parameter Estimation In Discontinuous Descriptor Models , 1996 .
[26] Kaj Madsen,et al. Combined LP and Quasi-Newton Methods for Nonlinear $l_1 $ Optimization , 1985 .
[27] H. Bock. Numerical Treatment of Inverse Problems in Chemical Reaction Kinetics , 1981 .
[28] F. Pukelsheim. Optimal Design of Experiments , 1993 .
[29] L. Biegler,et al. Large‐scale DAE optimization using a simultaneous NLP formulation , 1998 .
[30] Hans Georg Bock,et al. Covariance Matrices for Parameter Estimates of Constrained Parameter Estimation Problems , 2007, SIAM J. Matrix Anal. Appl..
[31] Angelika Dieses,et al. Numerical methods for optimization problems in water flow and reactive solute transport processes of xenobiotics in soils , 2000 .
[32] Dodge,et al. [Wiley Series in Probability and Statistics] Alternative Methods of Regression (Birkes/Alternative) || Least-Absolute-Deviations Regression , 1993 .
[33] P. Deuflhard,et al. Numerical Identification of Selected Rate Constants in Large Chemical Reaction Systems , 1985 .
[34] K. Schittkowski. Data fitting in partial differential algebraic equations: some academic and industrial applications , 2004 .
[35] Joyce Snell,et al. 6. Alternative Methods of Regression , 1996 .