A Shooting Method for Fully Implicit Index-2 Differential Algebraic Equations. - René Lamour (SIAM J. Sci. Comput., 1997)

The computation of consistent initial values for nonlinear index-2 differential-algebraic equations. - Diana Estévez Schwarz; René Lamour (Numer. Algorithms, 2001)

Consistent Initialization for Nonlinear Index-2 Differential-Algebraic Equation: Large Sparse Systems in MATLAB. - Michael Hanke; René Lamour (Numer. Algorithms, 2003)

Expressing optimal control problems as differential algebraic equations. - Roland England; Susana Gómez; René Lamour (Comput. Chem. Eng., 2005)

A new algorithm for index determination in DAEs using algorithmic differentiation. - René Lamour; Dagmar Monett Díaz (Numer. Algorithms, 2011)

Detecting structures in differential algebraic equations: Computational aspects. - René Lamour; Roswitha März (J. Comput. Appl. Math., 2012)

On evaluating higher-order derivatives of the QR decomposition of tall matrices with full column rank in forward and reverse mode algorithmic differentiation. - Sebastian F. Walter; Lutz Lehmann; René Lamour (Optim. Methods Softw., 2012)

Projector based integration of DAEs with the Taylor series method using automatic differentiation. - Diana Estévez Schwarz; René Lamour (J. Comput. Appl. Math., 2014)

Diagnosis of singular points of structured DAEs using automatic differentiation. - Diana Estévez Schwarz; René Lamour (Numer. Algorithms, 2015)

Diagnosis of singular points of properly stated DAEs using automatic differentiation. - Diana Estévez Schwarz; René Lamour (Numer. Algorithms, 2015)

A new projector based decoupling of linear DAEs for monitoring singularities. - Diana Estévez Schwarz; René Lamour (Numer. Algorithms, 2016)

A new approach for computing consistent initial values and Taylor coefficients for DAEs using projector-based constrained optimization. - Diana Estévez Schwarz; René Lamour (Numer. Algorithms, 2018)

InitDAE: Computation of consistent values, index determination and diagnosis of singularities of DAEs using automatic differentiation in Python. - Diana Estévez Schwarz; René Lamour (J. Comput. Appl. Math., 2021)

Projected explicit and implicit Taylor series methods for DAEs. - Diana Estévez Schwarz; René Lamour (Numer. Algorithms, 2021)

The common ground of DAE approaches. An overview of diverse DAE frameworks emphasizing their commonalities. - Diana Estévez Schwarz; René Lamour; Roswitha März (CoRR, 2024)