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Stationary Kirchhoff equations and systems with reaction terms

3 years ago

AbstractIn this paper, the operator approach based on the fixed point principles of Banach and Schaefer is used to establish…

A new optimal method of order four of Hermite–Steffensen type

4 years ago

Abstract We introduce a new method for solving nonlinear equations in R, which uses three function evaluations at each step…

Stationary solutions of Fokker-Planck equations with nonlinear reaction terms in bounded domains

4 years ago

AbstractUsing an operator approach, we discuss stationary solutions to Fokker-Planck equations and systems with nonlinear reaction terms. The existence of…

Krasnoselskii type theorems in product Banach spaces and applications to systems of nonlinear transport equations and mixed fractional differential equations

4 years ago

AbstractIn this paper, we use a new technique for the treatment of systems based on the advantage of vector-valued norms…

Space-time upscaling of reactive transport in porous media

4 years ago

AbstractReactive transport in saturated/unsaturated porous media is numerically upscaled to the spacetime scale of a hypothetical measurement through coarse grained…

On high-order conforming finite element methods for ill-posed Helmholtz problems

4 years ago

Abstract We consider the numerical approximation of the linear ill-posed problem of unique continuation for the Helmholtz equation. We first…

On the Durrmeyer-type variant and generalizations of Lototsky–Bernstein operators

4 years ago

Abstract The starting points of the paper are the classic Lototsky–Bernstein operators. We present an integral Durrmeyer-type extension and investigate…

Tikhonov regularization of a perturbed heavy ball system with vanishing damping

4 years ago

AbstractThis paper deals with aa perturbed heavy ball system with vanishing damping that contains a Tikhonov regularization term, in connection…

Global Random Walk Solutions for Flow and Transport in Porous Media

4 years ago

AbstractThis article presents a new approach to solve the equations of flow in heterogeneous porous media by using random walks…

Global random walk solvers for reactive transport and biodegradation processes in heterogeneous porous media

4 years ago

AbstractFlow and multicomponent reactive transport in saturated/unsaturated porous media are modeled by ensembles of computational particles moving on regular lattices…

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