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Alexander Ostermann

Observed names: A Ostermann, A. OSTERMANN, A. Ostermann, ALEXANDER OSTERMANN, Dr. Alexander Ostermann, Ostermann, Alexander, Ostermann, Alexander 1960-
Observed institutions: University of Geneva, Universität Innsbruck, University of Würzburg, ETH Zurich, Seminar for Applied Mathematics, Heinrich Heine University Düsseldorf, École Polytechnique Fédérale de Lausanne, University of Tübingen
ORCID: 0000-0003-0194-2481
Observed ORCID: 0000-0003-0194-2481
OpenAlex ID: A5047834422
Exponential integrators
2010 · Marlis Hochbruck, Alexander Ostermann · Acta Numerica · 1,153
Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
2005 · Marlis Hochbruck, Alexander Ostermann · SIAM Journal on Numerical Analysis · 456
Exponential Rosenbrock-Type Methods
2009 · Marlis Hochbruck, Alexander Ostermann, et al. · SIAM Journal on Numerical Analysis · 244
Exponential Runge–Kutta methods for parabolic problems
2004 · Marlis Hochbruck, Alexander Ostermann · Applied Numerical Mathematics · 195
Runge-Kutta Methods for Parabolic Equations and Convolution Quadrature
1993 · Ch. Lubich, A. Ostermann · Mathematics of Computation · 179
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Multi-grid dynamic iteration for parabolic equations
1987 · Ch. Lubich, A. Ostermann · BIT Numerical Mathematics · 154
Implementation of exponential Rosenbrock-type integrators
2008 · Marco Caliari, Alexander Ostermann · Applied Numerical Mathematics · 121
Low Regularity Exponential-Type Integrators for Semilinear Schrödinger Equations
2017 · Alexander Ostermann, Katharina Schratz · Foundations of Computational Mathematics · 109
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Runge-Kutta Approximation of Quasi-Linear Parabolic Equations
1995 · Christian Lubich, Alexander Ostermann · Mathematics of Computation · 104
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High order splitting methods for analytic semigroups exist
2009 · Eskil Hansen, Alexander Ostermann · BIT Numerical Mathematics · 103
Exponential splitting for unbounded operators
2009 · Eskil Hansen, Alexander Ostermann · Mathematics of Computation · 101
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A Class of Explicit Exponential General Linear Methods
2006 · A. Ostermann, M. Thalhammer, et al. · BIT Numerical Mathematics · 94
Exponential multistep methods of Adams-type
2011 · Marlis Hochbruck, Alexander Ostermann · BIT Numerical Mathematics · 86
Linearly implicit time discretization of non-linear parabolic equations
1995 · CH. LUBICH, A. OSTERMANN · IMA Journal of Numerical Analysis · 85
Runge-Kutta Methods for Partial Differential Equations and Fractional Orders of Convergence
1992 · A. Ostermann, M. Roche · Mathematics of Computation · 78
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Explicit exponential Runge–Kutta methods of high order for parabolic problems
2013 · Vu Thai Luan, Alexander Ostermann · Journal of Computational and Applied Mathematics · 71
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Consistent tangent operators for constitutive rate equations
2002 · Wolfgang Fellin, Alexander Ostermann · International Journal for Numerical and Analytical Methods in Geomechanics · 69
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The Leja Method Revisited: Backward Error Analysis for the Matrix Exponential
2016 · Marco Caliari, Peter Kandolf, et al. · SIAM Journal on Scientific Computing · 67
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Exponential Rosenbrock methods of order five — construction, analysis and numerical comparisons
2013 · Vu Thai Luan, Alexander Ostermann · Journal of Computational and Applied Mathematics · 67
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A Preconditioning Technique for an All-at-once System from Volterra Subdiffusion Equations with Graded Time Steps
2021 · Yong-Liang Zhao, Xian-Ming Gu, et al. · Journal of Scientific Computing · 63
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Comparison of software for computing the action of the matrix exponential
2013 · Marco Caliari, Peter Kandolf, et al. · BIT Numerical Mathematics · 60
Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity
2020 · Alexander Ostermann, Frédéric Rousset, et al. · Foundations of Computational Mathematics · 59
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Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 1: Dirichlet Boundary Conditions
2015 · Lukas Einkemmer, Alexander Ostermann · SIAM Journal on Scientific Computing · 57
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A low-rank projector-splitting integrator for the Vlasov–Maxwell equations with divergence correction
2019 · Lukas Einkemmer, Alexander Ostermann, et al. · Journal of Computational Physics · 56
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Rosenbrock Methods for Partial Differential Equations and Fractional Orders of Convergence
1993 · A. Ostermann, M. Roche · SIAM Journal on Numerical Analysis · 56
Works count: 253
Citation count: 5,958
H-index: 39
I10-index: 99
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