Strang splitting is a numerical method for solving Differential equations that are decomposable into a sum of differential operators. It is namedâ€¦Â (More)

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2015

2015

- Tobias Jahnke, MARCEL MIKL, Roland Schnaubelt
- 2015

We propose and analyze a Strang splitting method for a cubic semilinear SchrÃ¶dinger equation with forcing and damping terms. Theâ€¦Â (More)

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2014

2014

- Lukas Einkemmer, Alexander Ostermann
- Computers & Mathematics with Applications
- 2014

In this paper we consider splitting methods for the time integration of parabolic and certain classes of hyperbolic partialâ€¦Â (More)

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2014

2014

We study the Strang splitting scheme for quasilinear SchrÃ¶dinger equations. We establish the convergence of the scheme forâ€¦Â (More)

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2014

2014

- Lukas Einkemmer, Alexander Ostermann
- J. Computational Applied Mathematics
- 2014

In this paper we consider splitting methods for nonlinear ordinary differential equations in which one of the (partial) flowsâ€¦Â (More)

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2014

2014

- Lukas Einkemmer, Alexander Ostermann
- SIAM J. Numerical Analysis
- 2014

A rigorous convergence analysis of the Strang splitting algorithm with a discontinuous Galerkin approximation in space for theâ€¦Â (More)

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2013

2013

- Paul J. Dellar
- Computers & Mathematics with Applications
- 2013

The lattice Boltzmann space/time discretisation, as usually derived from integration along characteristics, is shown toâ€¦Â (More)

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2011

2011

- Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro, Terence Tao
- Math. Comput.
- 2011

We provide a new analytical approach to operator splitting for equations of the type ut = Au + B(u) where A is a linear operatorâ€¦Â (More)

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2007

2007

- Vasile Gradinaru
- SIAM J. Numerical Analysis
- 2007

The time-dependent SchrÃ¶dinger equation is discretized in space by a sparse grid pseudo-spectral method. The Strang splitting forâ€¦Â (More)

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2003

2003

- Danny Barash, Tamar Schlick, Moshe Israeli, Ron Kimmel
- Journal of Mathematical Imaging and Vision
- 2003

Operator splitting is a powerful concept used in many diversed fields of applied mathematics for the design of effectiveâ€¦Â (More)

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Highly Cited

2002

Highly Cited

2002

- Christian Lubich
- 2002

Error bounds for the Strang splitting in the presence of unbounded operators are derived in a general setting and are applied toâ€¦Â (More)

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