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Additive Operator-Difference Schemes: Splitting Schemes

Vabishchevich, Petr N

1, 2013

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Numerically solving an equation for fractional powers of elliptic operators

Journal of computational physics, 2015-02, Vol.282, p.289-302

Vabishchevich, Petr N.

2015

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Numerical Solution of Nonstationary Problems for a Space-Fractional Diffusion Equation

Fractional calculus & applied analysis, 2016-02, Vol.19 (1), p.116-139

Petr N, Vabishchevich

2016

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Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator

Journal of computational and applied mathematics, 2022-06, Vol.407, p.114096, Article 114096

Vabishchevich, Petr N.

2022

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On Parameter Identification for Reaction-Dominated Pore-Scale Reactive Transport Using Modified Bee Colony Algorithm

Algorithms, 2022-01, Vol.15 (1), p.15

2022

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Numerical Solving Unsteady Space-Fractional Problems with the Square Root of an Elliptic Operator

Mathematical modelling and analysis, 2016-03, Vol.21 (2), p.220-238

Vabishchevich, Petr N.

2016

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Nonlinear approximation of functions based on nonnegative least squares solver

Numerical linear algebra with applications, 2023-12, Vol.30 (6)

Vabishchevich, Petr N.

2023

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Bayesian Estimation of Adsorption and Desorption Parameters for Pore Scale Transport

Mathematics (Basel), 2021-08, Vol.9 (16), p.1974

2021

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Two-level schemes for the advection equation

Journal of computational physics, 2018-06, Vol.363, p.158-177

Vabishchevich, Petr N.

2018

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Two-level schemes of Cauchy problem method for solving fractional powers of elliptic operators

Computers & mathematics with applications (1987), 2020-07, Vol.80 (2), p.305-315

2020

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Temporal splitting algorithms for non-stationary multiscale problems

Journal of computational physics, 2021-08, Vol.439, p.110375, Article 110375

2021

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Two Classes of Vector Domain Decomposition Schemes for Time-Dependent Problems with Overlapping Subdomains

Large-Scale Scientific Computing, p.85-92

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Computational identification of the lowest space-wise dependent coefficient of a parabolic equation

Applied Mathematical Modelling, 2019-01, Vol.65, p.361-376

Vabishchevich, Petr N.

2019

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Contrast-independent partially explicit time discretizations for multiscale flow problems

Journal of computational physics, 2021-11, Vol.445, p.110578, Article 110578

2021

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A Priori Estimation of a Time Step for Numerically Solving Parabolic Problems

Mathematical modelling and analysis, 2015-01, Vol.20 (1), p.94-111

Vabishchevich, Petr N.

2015

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Contrast-independent partially explicit time discretizations for multiscale wave problems

Journal of computational physics, 2022-10, Vol.466, p.111226, Article 111226

2022

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Computational Technologies

Petr N. Vabishchevich / Petr N. Vabishchevich

2014

Volltextzugriff (PDF)

Decoupling schemes for predicting compressible fluid flows

Computers & fluids, 2018-07, Vol.171, p.94-102

Vabishchevich, Petr N.

2018

Volltextzugriff (PDF)

Fundamental mode exact schemes for unsteady problems

Numerical methods for partial differential equations, 2018-11, Vol.34 (6), p.2301-2315

Vabishchevich, Petr N.

2018

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Computational Technologies: Advanced Topics

Vabishchevich, Petr N

1st edition., 2014

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An operator-splitting scheme for the stream function–vorticity formulation of the unsteady Navier–Stokes equations

Journal of computational and applied mathematics, 2016-02, Vol.293, p.147-163

2016

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Numerical simulation of oxidation processes in a cross-flow around tube bundles

Applied Mathematical Modelling, 2018-07, Vol.59, p.251-271

2018

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Computational Technologies: A First Course

Vabishchevich, Petr N

1st edition., 2014

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Additive schemes (splitting schemes) for some systems of evolutionary equations

Mathematics of computation, 2014-11, Vol.83 (290), p.2787-2797

VABISHCHEVICH, PETR N.

2014

Volltextzugriff (PDF)

On a new class of additive (splitting) operator-difference schemes

Mathematics of computation, 2012-01, Vol.81 (277), p.267-276

VABISHCHEVICH, PETR N.

2012

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Additive Operator-Difference Schemes: Splitting Schemes

Numerically solving an equation for fractional powers of elliptic operators

Numerical Solution of Nonstationary Problems for a Space-Fractional Diffusion Equation

Some methods for solving equations with an operator function and applications for problems with a fractional power of an operator

On Parameter Identification for Reaction-Dominated Pore-Scale Reactive Transport Using Modified Bee Colony Algorithm

Numerical Solving Unsteady Space-Fractional Problems with the Square Root of an Elliptic Operator

Nonlinear approximation of functions based on nonnegative least squares solver

Bayesian Estimation of Adsorption and Desorption Parameters for Pore Scale Transport

Two-level schemes for the advection equation

Two-level schemes of Cauchy problem method for solving fractional powers of elliptic operators

Temporal splitting algorithms for non-stationary multiscale problems

Two Classes of Vector Domain Decomposition Schemes for Time-Dependent Problems with Overlapping Subdomains

Computational identification of the lowest space-wise dependent coefficient of a parabolic equation

Contrast-independent partially explicit time discretizations for multiscale flow problems

A Priori Estimation of a Time Step for Numerically Solving Parabolic Problems

Contrast-independent partially explicit time discretizations for multiscale wave problems

Computational Technologies

Decoupling schemes for predicting compressible fluid flows

Fundamental mode exact schemes for unsteady problems

Computational Technologies: Advanced Topics

An operator-splitting scheme for the stream function–vorticity formulation of the unsteady Navier–Stokes equations

Numerical simulation of oxidation processes in a cross-flow around tube bundles

Computational Technologies: A First Course

Additive schemes (splitting schemes) for some systems of evolutionary equations

On a new class of additive (splitting) operator-difference schemes

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