Exponential Integrators Based on Discrete Gradients for Linearly Damped/Driven Poisson Systems

Journal of Scientific Computing ◽

10.1007/s10915-021-01468-1 ◽

2021 ◽

Vol 87 (2) ◽

Author(s):

Brian E. Moore

Keyword(s):

Exponential Integrators ◽

Discrete Gradients

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Energy-preserving exponential integrators of arbitrarily high order for conservative or dissipative systems with highly oscillatory solutions

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110429 ◽

2021 ◽

pp. 110429

Author(s):

Lijie Mei ◽

Li Huang ◽

Xinyuan Wu

Keyword(s):

Dissipative Systems ◽

Oscillatory Solutions ◽

Exponential Integrators ◽

Highly Oscillatory

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Numerical Simulations of Reaction-Diffusion Systems Arising in Chemistry Using Exponential Integrators

Large-Scale Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-642-12535-5_74 ◽

2010 ◽

pp. 621-628

Author(s):

Răzvan Ştefănescu ◽

Gabriel Dimitriu

Keyword(s):

Numerical Simulations ◽

Reaction Diffusion ◽

Exponential Integrators ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Exponential integrators for stiff elastodynamic problems

ACM Transactions on Graphics ◽

10.1145/2508462 ◽

2014 ◽

Vol 33 (1) ◽

pp. 1-20 ◽

Author(s):

Dominik L. Michels ◽

Gerrit A. Sobottka ◽

Andreas G. Weber

Keyword(s):

Exponential Integrators

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Error Analysis Through Energy Minimization and Stability Properties of Exponential Integrators

Springer Optimization and Its Applications - Nonlinear Analysis and Global Optimization ◽

10.1007/978-3-030-61732-5_13 ◽

2020 ◽

pp. 295-307

Author(s):

Odysseas Kosmas ◽

Dimitrios Vlachos

Keyword(s):

Error Analysis ◽

Energy Minimization ◽

Exponential Integrators ◽

Stability Properties

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Meshfree Exponential Integrators

SIAM Journal on Scientific Computing ◽

10.1137/100818236 ◽

2013 ◽

Vol 35 (1) ◽

pp. A431-A452 ◽

Author(s):

Marco Caliari ◽

Alexander Ostermann ◽

Stefan Rainer

Keyword(s):

Exponential Integrators

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Volume-preserving exponential integrators and their applications

Journal of Computational Physics ◽

10.1016/j.jcp.2019.07.026 ◽

2019 ◽

Vol 396 ◽

pp. 867-887 ◽

Author(s):

Bin Wang ◽

Xinyuan Wu

Keyword(s):

Exponential Integrators ◽

Volume Preserving

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Erratum: Discrete Gradients in Discrete Classical Mechanics

International Journal of Theoretical Physics ◽

10.1007/bf00670381 ◽

1989 ◽

Vol 28 (1) ◽

pp. 135-135

Author(s):

L. Renna

Keyword(s):

Classical Mechanics ◽

Discrete Gradients

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Computing a matrix function for exponential integrators

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2003.08.006 ◽

2003 ◽

Vol 161 (1) ◽

pp. 203-216 ◽

Author(s):

Ya Yan Lu

Keyword(s):

Matrix Function ◽

Exponential Integrators

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One-stage exponential integrators for nonlinear Schrödinger equations over long times

BIT Numerical Mathematics ◽

10.1007/s10543-012-0385-1 ◽

2012 ◽

Vol 52 (4) ◽

pp. 877-903 ◽

Author(s):

David Cohen ◽

Ludwig Gauckler

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Exponential Integrators ◽

Nonlinear Schrödinger ◽

One Stage ◽

Nonlinear Schrodinger Equations

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Explicit Symmetric Exponential Integrators for Charged-Particle Dynamics in a Strong and Constant Magnetic Field

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-020-00821-6 ◽

2020 ◽

Vol 6 (3) ◽

Author(s):

Yajun Wu ◽

Bin Wang

Keyword(s):

Magnetic Field ◽

Charged Particle ◽

Constant Magnetic Field ◽

Particle Dynamics ◽

Exponential Integrators

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