Differential-algebraic equations

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[1]  Peter Lancaster,et al.  The theory of matrices , 1969 .

[2]  A. Hindmarsh LSODE and LSODI, two new initial value ordinary differential equation solvers , 1980, SGNM.

[3]  S. Campbell Singular Systems of Differential Equations , 1980 .

[4]  L. Petzold A description of dassl: a differential/algebraic system solver , 1982 .

[5]  C. W. Gear,et al.  ODE METHODS FOR THE SOLUTION OF DIFFERENTIAL/ALGEBRAIC SYSTEMS , 1984 .

[6]  C. W. Gear,et al.  Automatic integration of Euler-Lagrange equations with constraints , 1985 .

[7]  E. Griepentrog,et al.  Differential-algebraic equations and their numerical treatment , 1986 .

[8]  L. Petzold Order results for implicit Runge-Kutta methods applied to differential/algebraic systems , 1986 .

[9]  Per Lötstedt,et al.  Numerical solution of nonlinear differential equations with algebraic constraints I: Convergence results for backward differentiation formulas , 1986 .

[10]  J. R. E. O’Malley On Nonlinear Singularly Perturbed Initial Value Problems , 1988 .

[11]  Ernst Hairer,et al.  The numerical solution of differential-algebraic systems by Runge-Kutta methods , 1989 .

[12]  U. Ascher On symmetric schemes and differential-algebraic equations , 1989 .

[13]  C. W. Gear,et al.  Differential algebraic equations, indices, and integral algebraic equations , 1990 .

[14]  J. Yen,et al.  Generalized Coordinate Partitioning Methods for Numerical Integration of Differential-Algebraic Equations of Dynamics , 1990 .

[15]  B. Leimkuhler,et al.  Stabilization and projection methods for multibody dynamics , 1990 .

[16]  U. Ascher,et al.  Projected implicit Runge-Kutta methods for differential-algebraic equations , 1990 .

[17]  F. Potra,et al.  On the Numerical Solution of Euler-Lagrange Equations∗ , 1991 .

[18]  Claus Führer,et al.  A new class of generalized inverses for the solution of discretized Euler - Lagrange equations , 1991 .

[19]  E. Eich Convergence results for a coordinate projection method applied to mechanical systems with algebraic constraints , 1993 .

[20]  W. Rheinboldt,et al.  On the numerical solution of the Euler-Lagrange equations , 1995 .

[21]  E. Hairer,et al.  Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .

[22]  M. A. Akanbi,et al.  Numerical solution of initial value problems in differential - algebraic equations , 2005 .