Lecture Notes in Mathematics - The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
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Published By Springer Berlin Heidelberg

9783540518600, 9783540468325

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Description of differential-algebraic problems

Lecture Notes in Mathematics - The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods ◽

10.1007/bfb0093948 ◽

1989 ◽

pp. 1-13 ◽

Author(s):

Ernst Hairer ◽

Michel Roche ◽

Christian Lubich

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Convergence for index 3 problems

Lecture Notes in Mathematics - The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods ◽

10.1007/bfb0093953 ◽

1989 ◽

pp. 71-91

Author(s):

Ernst Hairer ◽

Michel Roche ◽

Christian Lubich

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Order conditions of Runge-Kutta methods for index 2 systems

Lecture Notes in Mathematics - The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods ◽

10.1007/bfb0093952 ◽

1989 ◽

pp. 55-70 ◽

Author(s):

Ernst Hairer ◽

Michel Roche ◽

Christian Lubich

Keyword(s):

Order Conditions ◽

Index 2 ◽

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Local error estimation

Lecture Notes in Mathematics - The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods ◽

10.1007/bfb0093955 ◽

1989 ◽

pp. 99-105

Author(s):

Ernst Hairer ◽

Michel Roche ◽

Christian Lubich

Keyword(s):

Error Estimation ◽

Local Error ◽

Local Error Estimation

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Convergence for index 1 problems

Lecture Notes in Mathematics - The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods ◽

10.1007/bfb0093950 ◽

1989 ◽

pp. 23-29

Author(s):

Ernst Hairer ◽

Michel Roche ◽

Christian Lubich

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Convergence for index 2 problems

Lecture Notes in Mathematics - The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods ◽

10.1007/bfb0093951 ◽

1989 ◽

pp. 30-54

Author(s):

Ernst Hairer ◽

Michel Roche ◽

Christian Lubich

Keyword(s):

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Solution of nonlinear systems by simplified Newton

Lecture Notes in Mathematics - The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods ◽

10.1007/bfb0093954 ◽

1989 ◽

pp. 92-98

Author(s):

Ernst Hairer ◽

Michel Roche ◽

Christian Lubich

Keyword(s):

Nonlinear Systems

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Runge-Kutta methods for differential-algebraic equations

Lecture Notes in Mathematics - The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods ◽

10.1007/bfb0093949 ◽

1989 ◽

pp. 14-22 ◽

Author(s):

Ernst Hairer ◽

Michel Roche ◽

Christian Lubich

Keyword(s):

Differential Algebraic Equations ◽

Algebraic Equations ◽

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Examples of differential-algebraic systems and their solution

Lecture Notes in Mathematics - The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods ◽

10.1007/bfb0093956 ◽

1989 ◽

pp. 106-123 ◽

Author(s):

Ernst Hairer ◽

Michel Roche ◽

Christian Lubich

Keyword(s):

Algebraic Systems

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