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Exponential integrator
Known as:
Exponential integrators
Exponential integrators are a class of numerical methods for the solution of partial and ordinary differential equations. This large class of methods…
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Computational science
Computer graphics
Discretization
Euler method
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Papers overview
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2017
2017
Stratified exponential integrator for modulated nonlinear Schr\"odinger equations
M. Hofmanová
,
Marvin Knöller
,
Katharina Schratz
2017
Corpus ID: 125348320
We consider a $d$-dimensional nonlinear Schr\"odinger equation with dispersion modulated by a (formal) derivative of a $\alpha$-H…
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2017
2017
ffi cient Iterative Algorithm for Solving Non-Linear Oscillation Problems
S. Ö. K. Uysal
,
G. Tanoglu
2017
Corpus ID: 73577843
A new iterative method is presented for numerical solution of nonlinear evolutionary problems. The convergence properties of the…
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2015
2015
The infinite Arnoldi exponential integrator for linear inhomogeneous ODEs
A. Koskela
,
E. Jarlebring
2015
Corpus ID: 118182304
Exponential integrators that use Krylov approximations of matrix functions have turned out to be efficient for the time…
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2015
2015
Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part I: Stability
Cesáreo González
,
M. Thalhammer
SIAM Journal on Numerical Analysis
2015
Corpus ID: 14882686
Explicit exponential integrators based on general linear methods are studied for the time discretization of quasi-linear…
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2014
2014
EXPODE -- Advanced Exponential Time Integration Toolbox for MATLAB
Georg Jansing
2014
Corpus ID: 61127583
We present a MATLAB toolbox for five different classes of exponential integrators for solving (mildly) stiff ordinary…
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2012
2012
Space & time errors estimates in the combined Finite Volume--Exponential integrator for nonlinear reactive transport
Antoine Tambue
2012
Corpus ID: 118712702
We analyze the finite volume spatial convergence combined with Exponential Time Differencing of order one (ETD1) for temporal…
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2012
2012
EXPONENTIAL EULER TIME INTEGRATOR FOR SIMULATION OF GEOTHERMAL PROCESSES IN HETEROGENEOUS POROUS MEDIA
Antoine Tambue
,
I. Berre
,
J. Nordbotten
,
T. H. Sandve
2012
Corpus ID: 37321401
Simulation of geothermal systems is challenging due to coupled physical processes in highly heterogeneous media. Combining the…
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2010
2010
Stochastic Exponential Integrators for a Finite Element Discretization of SPDEs
G. Lord
,
Antoine Tambue
2010
Corpus ID: 119573549
We consider the numerical approximation of general semilinear parabolic stochastic partial differential equations (SPDEs) driven…
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2009
2009
MA8404-Notes on IMEX methods and exponential integrators
E. Celledoni
2009
Corpus ID: 123833162
Assume we discretize these equations with finite differences, finite elements or spectral elements in space and we generate a…
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1992
1992
Neural network for non-linear programming with linear equality constraints
S. Osowski
International journal of circuit theory and…
1992
Corpus ID: 4934371
This paper presents a simplified approach to neural optimization in the presence of linear equality constraints. In contrast to…
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