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Discretized fractional calculus

SIAM journal on mathematical analysis, 1986-05, Vol.17 (3), p.704-719

LUBICH, C

1986

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Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term

Mathematics of computation, 1996-01, Vol.65 (213), p.1-17

1996

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Runge-Kutta time discretization of parabolic differential equations on evolving surfaces

IMA journal of numerical analysis, 2012-04, Vol.32 (2), p.394-416

2012

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Runge-Kutta Methods for Parabolic Equations and Convolution Quadrature

Mathematics of computation, 1993-01, Vol.60 (201), p.105-131

1993

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Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind

Mathematics of computation, 1985, Vol.45 (172), p.463-469

LUBICH, C

1985

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Numerical energy conservation for multi-frequency oscillatory differential equations

BIT (Nordisk Tidskrift for Informationsbehandling), 2005-06, Vol.45 (2), p.287-305

2005

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Runge-Kutta theory for Volterra and Abel integral equations of the second kind

Mathematics of computation, 1983, Vol.41 (163), p.87-102

LUBICH, C

1983

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Runge-Kutta Solutions of Stiff Differential Equations Near Stationary Points

SIAM journal on numerical analysis, 1995-08, Vol.32 (4), p.1296-1307

1995

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The life-span of backward error analysis for numerical integrators

Numerische Mathematik, 1997-06, Vol.76 (4), p.441-462

1997

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Fast numerical solution of nonlinear volterra convolution equations

SIAM journal on scientific and statistical computing, 1985-07, Vol.6 (3), p.532-541

1985

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Operational Quadrature Methods for Wiener-Hopf Integral Equations

Mathematics of computation, 1993-04, Vol.60 (202), p.699-718

1993

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Integration of stiff mechanical systems by Runge-Kutta methods

Zeitschrift für angewandte Mathematik und Physik, 1993-11, Vol.44 (6), p.1022-1053

LUBICH, CH

1993

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Numerical energy conservation for multi-frequency oscillatory differential equations

BIT (Lisse : trykt utg.), 2005, Vol.45 (2)

2005

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On the Stability of Volterra-Runge-Kutta Methods

SIAM journal on numerical analysis, 1984-02, Vol.21 (1), p.123-135

1984

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Multirate extrapolation methods for differential equations with different time scales

Computing, 1997-01, Vol.58 (2), p.173-185

1997

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Uniform Error Estimates of Operational Quadrature Methods for Nonlinear Convolution Equations on the Half-Line

Mathematics of computation, 1991-01, Vol.56 (193), p.149-176

1991

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Linearly implicit time discretization of non-linear parabolic equations

IMA journal of numerical analysis, 1995, Vol.15 (4), p.555-583

1995

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On the multistep time discretization of linear\newline initial-boundary value problems and their boundary integral equations

Numerische Mathematik, 1994-04, Vol.67 (3), p.365-389

Lubich, Ch

1994

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Time discretization of parabolic boundary integral equations

Numerische Mathematik, 1992-12, Vol.63 (4), p.455-481

1992

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Extrapolation integrators for constrained multibody systems

Impact of computing in science and engineering, 1991, Vol.3 (3), p.213-234

Lubich, Ch

1991

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Order of Convergence of One-Step Methods for Volterra Integral Equations of the Second Kind

SIAM journal on numerical analysis, 1983-06, Vol.20 (3), p.569-579

1983

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A stability analysis of convolution quadratures for Abel-Volterra integral equations

IMA journal of numerical analysis, 1986, Vol.6 (1), p.87-101

LUBICH, C

1986

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Chebyshev acceleration of picard-lindelöf iteration

BIT, 1992-09, Vol.32 (3), p.535-538

Lubich, Ch

1992

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On projected Runge-Kutta methods for differential-algebraic equations

BIT, 1991-09, Vol.31 (3), p.545-550

Lubich, Ch

1991

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Modulated Fourier Expansions for Continuous and Discrete Oscillatory Systems

Foundations of Computational Mathematics, Budapest 2011, 2012, p.113-128

2012

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Discretized fractional calculus

Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term

Runge-Kutta time discretization of parabolic differential equations on evolving surfaces

Runge-Kutta Methods for Parabolic Equations and Convolution Quadrature

Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind

Numerical energy conservation for multi-frequency oscillatory differential equations

Runge-Kutta theory for Volterra and Abel integral equations of the second kind

Runge-Kutta Solutions of Stiff Differential Equations Near Stationary Points

The life-span of backward error analysis for numerical integrators

Fast numerical solution of nonlinear volterra convolution equations

Operational Quadrature Methods for Wiener-Hopf Integral Equations

Integration of stiff mechanical systems by Runge-Kutta methods

Numerical energy conservation for multi-frequency oscillatory differential equations

On the Stability of Volterra-Runge-Kutta Methods

Multirate extrapolation methods for differential equations with different time scales

Uniform Error Estimates of Operational Quadrature Methods for Nonlinear Convolution Equations on the Half-Line

Linearly implicit time discretization of non-linear parabolic equations

On the multistep time discretization of linear\newline initial-boundary value problems and their boundary integral equations

Time discretization of parabolic boundary integral equations

Extrapolation integrators for constrained multibody systems

Order of Convergence of One-Step Methods for Volterra Integral Equations of the Second Kind

A stability analysis of convolution quadratures for Abel-Volterra integral equations

Chebyshev acceleration of picard-lindelöf iteration

On projected Runge-Kutta methods for differential-algebraic equations

Modulated Fourier Expansions for Continuous and Discrete Oscillatory Systems

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