Alexander Ostermann

Numerical Analysis · 2002–2012

A researcher in the Science corpus: 9 papers; trusts 22 researchers and is trusted by 36 researchers here, as inferred from the citation graph.

Subfields

• Numerical Analysis — 32 citations into it; #230 of 3,586 by trust here, #471 by citations
• Computational Mechanics — 18 citations into it; #870 of 10,001 by trust here, #2,574 by citations
• Computational Theory and Mathematics — 16 citations into it
• Electrical and Electronic Engineering — 15 citations into it

Whom Alexander Ostermann trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Stephen M. Cox
2. Stein Krogstad
3. Marlis Hochbruck
4. Paul Matthews
5. Aly-Khan Kassam
6. Lloyd N. Trefethen
7. Igor Moret
8. Ernst Hairer
9. François Castella
10. Paolo Novati

Who trusts Alexander Ostermann overall

1. Marlis Hochbruck
2. Håvard Berland
3. Christopher A. Kennedy
4. Cheng Lu
5. Britta Kleefeld
6. Uri M. Ascher
7. Brynjulf Owren
8. Bård Skaflestad
9. Giacomo Dimarco
10. Qinsheng Zhang

Papers from Alexander Ostermann's perspective

Ordered by how strongly the researchers Alexander Ostermann trusts endorse each paper. Same corpus, a different order for every researcher.

1. Exponential Time Differencing for Stiff Systems
2. Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems
3. Generalized integrating factor methods for stiff PDEs
4. RD-Rational Approximations of the Matrix Exponential
5. Exponential Runge--Kutta methods for parabolic problems
6. Splitting methods (Acta Numerica)
7. On the necessity of negative coefficients for operator splitting schemes of order higher than two
8. Solving Ordinary Differential Equations (Programming for Computations - Python)
9. Splitting methods with complex times for parabolic equations
10. Pattern formation with a conservation law

Their papers

• Consistent tangent operators for constitutive rate equations (2002) — 65 citations
• Geometry by Its History (2012) — 69 citations
• Exponential multistep methods of Adams-type (2011) — 97 citations
• Exponential integrators (2010) — 1,170 citations
• High order splitting methods for analytic semigroups exist (2009) — 120 citations
• A Class of Explicit Exponential General Linear Methods (2006) — 100 citations
• Exponential Runge--Kutta methods for parabolic problems (2005) — 222 citations
• Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems (2005) — 503 citations
• Convergence of Runge-Kutta methods for nonlinear parabolic equations (2002) — 47 citations