The barycentric rational numerical differentiation formulas for stiff ODEs and DAEs

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80) Numerical analysis (65-XX)

Cites Work

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Linear barycentric rational quadrature
Convergence rates of derivatives of a family of barycentric rational interpolants
Automatic integration of Euler-Lagrange equations with constraints
Rational functions for guaranteed and experimentally well-conditioned global interpolation
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Adaptive linear barycentric rational finite differences method for stiff ODEs
Barycentric rational interpolation with no poles and high rates of approximation
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The MATLAB ODE Suite
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Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints I: Convergence Results for Backward Differentiation Formulas
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The Barycentric Rational Difference-Quadrature Scheme for Systems of Volterra Integro-differential Equations
Barycentric Lagrange Interpolation
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Integration of Stiff Equations
Numerical Methods for Ordinary Differential Equations
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