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- Alexander Ostermann

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
33
Citations
4,216
159
World Ranking
2244
National Ranking
28

- Mathematical analysis
- Geometry
- Algebra

His primary areas of investigation include Mathematical analysis, Exponential integrator, Exponential function, Runge–Kutta methods and Applied mathematics. His studies link Iterative method with Mathematical analysis. His research investigates the connection between Exponential integrator and topics such as Jacobian matrix and determinant that intersect with problems in Variable, Stiff equation and Numerical stability.

His Exponential function research integrates issues from General linear methods, Numerical analysis and Banach space. The various areas that he examines in his Runge–Kutta methods study include Integral equation, Boundary value problem and Collocation method. His research in Applied mathematics intersects with topics in Matrix exponential, Mathematical optimization, Rate of convergence, Euler method and Newton's method.

- Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems (259 citations)
- Exponential Rosenbrock-Type Methods (159 citations)
- RUNGE-KUTTA METHODS FOR PARABOLIC EQUATIONS AND CONVOLUTION QUADRATURE (152 citations)

Alexander Ostermann spends much of his time researching Mathematical analysis, Applied mathematics, Exponential integrator, Numerical analysis and Exponential function. His study in Runge–Kutta methods, Partial differential equation, Discretization, Banach space and Differential equation are all subfields of Mathematical analysis. He has included themes like Scheme, Matrix, Fourier transform, Space and Strang splitting in his Applied mathematics study.

His Strang splitting research is multidisciplinary, incorporating elements of Boundary value problem, Dirichlet boundary condition, Order and Discontinuous Galerkin method. His Exponential integrator research includes themes of Matrix exponential, Numerical partial differential equations, Stiff equation and Taylor series. Alexander Ostermann has researched Numerical analysis in several fields, including Rate of convergence and Schrödinger equation.

- Mathematical analysis (39.25%)
- Applied mathematics (36.02%)
- Exponential integrator (19.35%)

- Applied mathematics (36.02%)
- Discretization (14.52%)
- Numerical analysis (17.20%)

His primary areas of study are Applied mathematics, Discretization, Numerical analysis, Exponential integrator and Scheme. His Applied mathematics study combines topics in areas such as Nonlinear Schrödinger equation, Schrödinger equation, Order, Fourier transform and Space. His Discretization research incorporates elements of Dispersive partial differential equation and Speedup.

His Numerical analysis study integrates concerns from other disciplines, such as Supercomputer, Partial differential equation, Double-precision floating-point format and Type. His study on Stiff equation is often connected to Vlasov equation as part of broader study in Partial differential equation. Alexander Ostermann focuses mostly in the field of Exponential integrator, narrowing it down to matters related to Exponential type and, in some cases, Smoothness.

- A Fourier integrator for the cubic nonlinear Schrödinger equation with rough initial data (22 citations)
- A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction (11 citations)
- Error estimates of a Fourier integrator for the cubic Schr"odinger equation at low regularity (11 citations)

- Mathematical analysis
- Geometry
- Algebra

Alexander Ostermann mainly focuses on Applied mathematics, Fourier transform, Nonlinear Schrödinger equation, Discretization and Numerical analysis. His Applied mathematics research incorporates themes from Matrix, Matrix differential equation, Differential equation, Rank and Maxwell's equations. His Fourier transform research incorporates elements of Space and Schrödinger equation.

His study on Schrödinger equation is mostly dedicated to connecting different topics, such as Strang splitting. His Discretization study incorporates themes from Order, Dimension, Scheme, Frequency domain and Sobolev space. His Numerical analysis research is multidisciplinary, relying on both Smoothness, Exponential type and Exponential integrator.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems

Marlis Hochbruck;Alexander Ostermann.

SIAM Journal on Numerical Analysis **(2005)**

404 Citations

Exponential Rosenbrock-Type Methods

Marlis Hochbruck;Alexander Ostermann;Julia Schweitzer.

SIAM Journal on Numerical Analysis **(2008)**

254 Citations

Multi-grid dynamic iteration for parabolic equations

C. Lubich;A. Ostermann.

Bit Numerical Mathematics **(1987)**

212 Citations

Runge-Kutta methods for parabolic equations and convolution quadrature

Ch. Lubich;A. Ostermann.

Mathematics of Computation **(1993)**

209 Citations

Exponential Runge--Kutta methods for parabolic problems

Marlis Hochbruck;Alexander Ostermann.

Applied Numerical Mathematics **(2005)**

208 Citations

Runge-Kutta approximation of quasi-linear parabolic equations

Christian Lubich;Alexander Ostermann.

Mathematics of Computation **(1995)**

130 Citations

Implementation of exponential Rosenbrock-type integrators

Marco Caliari;Alexander Ostermann.

Applied Numerical Mathematics **(2009)**

129 Citations

Linearly implicit time discretization of non-linear parabolic equations

Ch. Lubich;A. Ostermann.

Ima Journal of Numerical Analysis **(1995)**

126 Citations

Geometry by Its History

Alexander Ostermann;Gerhard Wanner.

**(2012)**

124 Citations

Exponential splitting for unbounded operators

Eskil Hansen;Alexander Ostermann.

Mathematics of Computation **(2009)**

116 Citations

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