Keyword

exponential integrators

Description: Numerical methods for solving differential equations that use exponential functions of operators to handle linear terms efficiently.

Primary topic: Numerical methods for differential equations (70%)

Wikidata ID: wiki/Q16148845

OpenAlex ID: keywords/exponential-integrators

Exponential integrators

2010 · Marlis Hochbruck, Alexander Ostermann · Acta Numerica · 1,063

Exponential Integrators for Large Systems of Differential Equations

1998 · Marlis Hochbruck, Christian Lubich, et al. · SIAM Journal on Scientific Computing · 509

Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators

2011 · Awad H. Al-Mohy, Nicholas J. Higham · SIAM Journal on Scientific Computing · 468

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Exponential Rosenbrock-Type Methods

2009 · Marlis Hochbruck, Alexander Ostermann, et al. · SIAM Journal on Numerical Analysis · 241

Algorithm 919

2012 · Jitse Niesen, Will M. Wright · ACM Transactions on Mathematical Software · 201

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Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods

2005 · M. Tokman · Journal of Computational Physics · 159

Fourier spectral method for higher order space fractional reaction–diffusion equations

2016 · Edson Pindza, Kolade M. Owolabi · Communications in Nonlinear Science and Numerical Simulation · 153

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EXPINT---A MATLAB package for exponential integrators

2007 · Håvard Berland, Bård Skaflestad, et al. · ACM Transactions on Mathematical Software · 152

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A review of exponential integrators for first order semi-linear problems

2005 · Borislav V. Minchev, Will M. Wright · CERN Document Server (European Organization for Nuclear Research) · 118

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Approximate symmetrization and Petrov-Galerkin methods for diffusion-convection problems

1984 · J.W. Barrett, K.W. Morton · Computer Methods in Applied Mechanics and Engineering · 114

Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation

2007 · Elena Celledoni, David Cohen, et al. · Foundations of Computational Mathematics · 113

Exponential Integrators Preserving First Integrals or Lyapunov Functions for Conservative or Dissipative Systems

2016 · Yu-Wen Li, Xinyuan Wu · SIAM Journal on Scientific Computing · 106

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Stochastic exponential integrators for the finite element discretization of SPDEs for multiplicative and additive noise

2012 · G. J. Lord, A. Tambue · IMA Journal of Numerical Analysis · 100

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Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals

2007 · Thomas Schmelzer, Lloyd N. Trefethen · Oxford University Research Archive (ORA) (University of Oxford) · 98

Error analysis of exponential integrators for oscillatory second-order differential equations

2006 · Volker Grimm, Marlis Hochbruck · Journal of Physics A Mathematical and General · 96

Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations

2020 · Buyang Li, Jiang Yang, et al. · SIAM Journal on Scientific Computing · 94

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A power law transformation resulting in a class of short-term integrators that produce time-intensity trades for noise bursts

1978 · M. J. Penner · The Journal of the Acoustical Society of America · 91

Comparative performance of exponential, implicit, and explicit integrators for stiff systems of ODEs

2012 · J. Loffeld, M. Tokman · Journal of Computational and Applied Mathematics · 89

A class of explicit multistep exponential integrators for semilinear problems

2005 · M. P. Calvo, C. Palencia · Numerische Mathematik · 89

Exponential Integrators for Quantum-Classical Molecular Dynamics

1999 · Marlis Hochbruck, Christian Lubich · BIT Numerical Mathematics · 86

Generalized exponential time differencing methods for fractional order problems

2011 · Roberto Garrappa, Marina Popolizio · Computers & Mathematics with Applications · 78

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KIOPS: A fast adaptive Krylov subspace solver for exponential integrators

2018 · Stéphane Gaudreault, Greg Rainwater, et al. · Journal of Computational Physics · 76

Fast Sampling of Diffusion Models with Exponential Integrator

2022 · Zhang, Qinsheng, Chen, Yongxin · arXiv (Cornell University) · 74

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Finite element formulation for modeling nonlinear viscoelastic elastomers

2008 · Pedro Areias, Karel Matouš · Computer Methods in Applied Mechanics and Engineering · 73

Exponential Propagators (integrators) for the Time-dependent Schrödinger Equation

2013 · ANDRÉ D. BANDRAUK, HUIZHONG LU · Journal of Theoretical and Computational Chemistry · 70

Works count: 791

Citation count: 8,379