Stochastic exponential integrators for the finite element discretization of SPDEs for multiplicative and additive noise
We consider the numerical approximation of a general second-order semilinear parabolic
stochastic partial differential equation driven by multiplicative and additive space–time …
stochastic partial differential equation driven by multiplicative and additive space–time …
Localized numerical impulse solutions in diffuse neural networks modeled by the complex fractional Ginzburg–Landau equation
We investigate localized wave solutions in a network of Hindmarsh–Rose neural model
taking into account the long-range diffusive couplings. We show by a specific analytical …
taking into account the long-range diffusive couplings. We show by a specific analytical …
Weak convergence for a stochastic exponential integrator and finite element discretization of stochastic partial differential equation with multiplicative & additive noise
A Tambue, JMT Ngnotchouye - Applied Numerical Mathematics, 2016 - Elsevier
We consider a finite element approximation of a general semi-linear stochastic partial
differential equation (SPDE) driven by space-time multiplicative and additive noise. We …
differential equation (SPDE) driven by space-time multiplicative and additive noise. We …
Efficient simulation of geothermal processes in heterogeneous porous media based on the exponential Rosenbrock–Euler and Rosenbrock-type methods
Simulation of geothermal systems is challenging due to coupled physical processes in
highly heterogeneous media. Combining the exponential Rosenbrock–Euler method and …
highly heterogeneous media. Combining the exponential Rosenbrock–Euler method and …
[HTML][HTML] An exponential integrator for finite volume discretization of a reaction–advection–diffusion equation
A Tambue - Computers & Mathematics with Applications, 2016 - Elsevier
We consider the numerical approximation of a general second order semi-linear parabolic
partial differential equation. Equations of this type arise in many contexts, such as transport …
partial differential equation. Equations of this type arise in many contexts, such as transport …
Exponential time integrators for stochastic partial differential equations in 3D reservoir simulation
The transport of chemically reactive solutes (eg surfactants, CO 2 or dissolved minerals) is of
fundamental importance to a wide range of applications in oil and gas reservoirs such as …
fundamental importance to a wide range of applications in oil and gas reservoirs such as …
A modified semi–implicit Euler–Maruyama scheme for finite element discretization of SPDEs with additive noise
We consider the numerical approximation of a general second order semi–linear parabolic
stochastic partial differential equation (SPDE) driven by additive space-time noise. We …
stochastic partial differential equation (SPDE) driven by additive space-time noise. We …
Strong convergence analysis of the stochastic exponential Rosenbrock scheme for the finite element discretization of semilinear SPDEs driven by multiplicative and …
In this paper, we consider the numerical approximation of a general second order semilinear
stochastic spartial differential equation (SPDE) driven by multiplicative and additive noise …
stochastic spartial differential equation (SPDE) driven by multiplicative and additive noise …
Implementation and performance analysis of the IDEAL algorithm for fluid flow and heat transfer in porous media based on OpenFOAM
P Wang, B Dong, Y Chen, Y Deng, Q Zhang… - Thermal Science and …, 2024 - Elsevier
The importance of simulating fluid flow and heat transfer within porous media is crucial for
both scientific exploration and engineering design. However, the efficiency of such …
both scientific exploration and engineering design. However, the efficiency of such …
Weak convergence of the Rosenbrock semi-implicit method for semilinear parabolic SPDEs driven by additive noise
This paper aims to investigate the weak convergence of the Rosenbrock semi-implicit
method for semilinear parabolic stochastic partial differential equations (SPDEs) driven by …
method for semilinear parabolic stochastic partial differential equations (SPDEs) driven by …