What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (39.25%)
- Applied mathematics (36.02%)
- Exponential integrator (19.35%)
What were the highlights of his more recent work (between 2018-2021)?
- Applied mathematics (36.02%)
- Discretization (14.52%)
- Numerical analysis (17.20%)
In recent papers he was focusing on the following fields of study:
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.
Between 2018 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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