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Study on Integrodifferential Evolution Systems with Nonlocal Initial Conditions

4 years ago

AbstractThe work is concerned with systems of abstract integrodifferential equations with general nonlocal initial conditions. To allow the nonlinear terms…

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…

On a Volterra Integral Equation with Delay, via w-Distances

5 years ago

AbstractThe paper deals with a Volterra integral equation with delay. In order to apply the w-weak generalized contraction theorem for…

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

5 years ago

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

Functional differential equations with maxima, via step by step contraction principle

5 years ago

AbstractT. A. Burton presented in some examples of integral equations a notion of progressive contractions on C([a, ∞[). In 2019,…

How many steps still left to x*?

5 years ago

We survey the convergence orders of sequences and show the orders of the basic iterative sequences for solving nonlinear equations…

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