Runge-Kutta methods for linear semi-explicit operator differential-algebraic equations
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[1] R. Bank,et al. A class of iterative methods for solving saddle point problems , 1989 .
[2] C. W. Gear,et al. Automatic integration of Euler-Lagrange equations with constraints , 1985 .
[3] Luc Tartar,et al. An Introduction to Navier-Stokes Equation and Oceanography , 2006 .
[4] R. Altmann. Index reduction for operator differential‐algebraic equations in elastodynamics , 2013 .
[5] E. Griepentrog,et al. Differential-algebraic equations and their numerical treatment , 1986 .
[6] Stefan Ulbrich,et al. Optimization with PDE Constraints , 2008, Mathematical modelling.
[7] R. Temam,et al. Navier-Stokes equations: theory and numerical analysis: R. Teman North-Holland, Amsterdam and New York. 1977. 454 pp. US $45.00 , 1978 .
[8] L. Tartar. An Introduction to Sobolev Spaces and Interpolation Spaces , 2007 .
[9] E. Hairer,et al. Solving Ordinary Differential Equations II , 2010 .
[10] C. Lubich,et al. Runge-Kutta approximation of quasi-linear parabolic equations , 1995 .
[11] Bernd Simeon. Computational Flexible Multibody Dynamics , 2013 .
[12] Etienne Emmrich,et al. Convergence of a Time Discretisation for Doubly Nonlinear Evolution Equations of Second Order , 2010, Found. Comput. Math..
[13] Ernst Hairer,et al. The numerical solution of differential-algebraic systems by Runge-Kutta methods , 1989 .
[14] M. Arnold. Half-explicit Runge-Kutta methods with explicit stages for differential-algebraic systems of index 2 , 1998 .
[15] Etienne Emmrich,et al. Operator Differential-Algebraic Equations Arising in Fluid Dynamics , 2013, Comput. Methods Appl. Math..
[16] Charles R. Johnson,et al. Topics in Matrix Analysis , 1991 .
[17] Gene H. Golub,et al. Numerical solution of saddle point problems , 2005, Acta Numerica.
[18] Volker Mehrmann,et al. Differential-Algebraic Equations: Analysis and Numerical Solution , 2006 .
[19] H. Brezis. Functional Analysis, Sobolev Spaces and Partial Differential Equations , 2010 .
[20] Michel Fortin,et al. Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.
[21] J. Wloka,et al. Partial differential equations , 1987 .
[22] J. Wloka,et al. Partial differential equations: Strongly elliptic differential operators and the method of variations , 1987 .
[23] Sara Grundel,et al. Model Order Reduction of Differential Algebraic Equations Arising from the Simulation of Gas Transport Networks , 2014 .
[24] Alexander Ostermann,et al. RUNGE-KUTTA METHODS FOR PARABOLIC EQUATIONS AND CONVOLUTION QUADRATURE , 1993 .
[25] Jie Shen,et al. On error estimates of the penalty method for unsteady Navier-Stokes equations , 1995 .
[26] Solomon G. Mikhlin,et al. Variationsmethoden der Mathematischen Physik , 1962 .
[27] K. Burrage,et al. Stability Criteria for Implicit Runge–Kutta Methods , 1979 .
[28] Caren Tischendorf,et al. A Unified (P)DAE Modeling Approach for Flow Networks , 2014 .
[29] L. Petzold. Order results for implicit Runge-Kutta methods applied to differential/algebraic systems , 1986 .
[30] E. Zeidler. Nonlinear functional analysis and its applications , 1988 .
[31] Juan C. Heinrich,et al. The penalty method for the Navier-Stokes equations , 1995 .
[32] René Lamour,et al. Differential-Algebraic Equations: A Projector Based Analysis , 2013 .
[33] Nigel J. Kalton,et al. An Introductory Course in Functional Analysis , 2014 .
[34] Robert Altmann,et al. Finite Element Decomposition and Minimal Extension for Flow Equations , 2015 .
[35] T. Roubíček. Nonlinear partial differential equations with applications , 2005 .