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Numerical Analysis of the Blow-Up of One-Dimensional Polymer Fluid Flow with a Front

Computational mathematics and mathematical physics, 2024, Vol.64 (1), p.151-165

2024

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h-, p-, and hp-Versions of the Least-Squares Collocation Method for Solving Boundary Value Problems for Biharmonic Equation in Irregular Domains and Their Applications

Computational mathematics and mathematical physics, 2022-04, Vol.62 (4), p.517-537

2022

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Modeling of laser welding of plates made of dissimilar metals with the use of a composite insert

IOP conference series. Materials Science and Engineering, 2019-11, Vol.681 (1), p.12044

2019

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Solution of the Cauchy Problem for Ordinary Differential Equations Using the Collocation and Least Squares Method with the Pade Approximation

Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", 2023, Vol.16 (4)

2023

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Numerical Solution of the Poisson Equation in Polar Coordinates by the Method of Collocations and Least Residuals

Modelirovanie i analiz informacionnyh sistem, 2015-12, Vol.22 (5), p.648-664

2015

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High-accuracy versions of the collocations and least squares method for the numerical solution of the Navier-Stokes equations

Computational mathematics and mathematical physics, 2010-10, Vol.50 (10), p.1670-1681

2010

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Construction and study of high-order accurate schemes for solving the one-dimensional heat equation

Computational mathematics and mathematical physics, 2014-07, Vol.54 (7), p.1110-1121, Article 1110

2014

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Application of Computer Algebra Systems to the Construction of the Collocations and Least Residuals Method for Solving the 3D Navier–Stokes Equations

Modelirovanie i analiz informacionnyh sistem, 2014-10, Vol.21 (5), p.131-147

2014

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Solving the biharmonic equation in irregular domains by the least squares collocation method

AIP Conference Proceedings, 2018, Vol.2027 (1)

2018

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Numerical study of Heat Modes of laser welding of dissimilar metals with an intermediate insert

International journal of heat and mass transfer, 2016-08, Vol.99, p.711-720

2016

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Development and Verification of a Simplified hp-Version of the Least-Squares Collocation Method for Irregular Domains

Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", 2023-08, Vol.16 (3)

2023

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Versions of the collocation and least squares method for solving biharmonic equations in non-canonical domains

AIP Conference Proceedings, 2017, Vol.1893 (1)

2017

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The least squares collocation method for biharmonic-type equations in the plate theory

AIP Conference Proceedings, 2019, Vol.2125 (1)

2019

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High Accuracy Numerical Solution of Elliptic Equations with Discontinuous Coefficients

Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", 2021-11, Vol.14 (4), p.88-101

2021

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The least squares collocation method with the integral form of collocation equations for bending analysis of isotropic and orthotropic thin plates

AIP Conference Proceedings, 2020, Vol.2288 (1)

2020

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Modeling of laser welding of steel and titanium plates with a composite insert

AIP Conference Proceedings, 2017, Vol.1893 (1)

2017

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Solving Elliptic Equations in Polygonal Domains by the Least Squares Collocation Method

Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", 2019-08, Vol.12 (3), p.140-152

2019

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Бездивергентный метод коллокаций и наименьших квадратов для расчета течений несжимаемой жидкости и его эффективная реализация

Vestnik Samarskogo gosudarstvennogo tehničeskogo universiteta. Seriâ Fiziko-matematičeskie nauki, 2020, Vol.24 (3), p.542-573

2020

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Investigation of the structure and properties of titanium-stainless steel permanent joints obtained by laser welding with the use of intermediate inserts and nanopowders

Thermophysics and aeromechanics, 2015-03, Vol.22 (2), p.135-142

2015

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Simulation of heat transfer processes in laser welding of dissimilar metals with an insert

High temperature, 2015-11, Vol.53 (6), p.841-846

2015

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Modelling of laser welding of flat parts using the modifying nanopowders

Thermophysics and aeromechanics, 2013, Vol.20 (2), p.237-250

2013

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Numerical modeling of thermophysical processes in laser-beam welding with formation of a vapor channel

Journal of applied mechanics and technical physics, 2006-09, Vol.47 (5), p.688-695

2006

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High-order accurate collocations and least squares method for solving the Navier-Stokes equations

Doklady. Mathematics, 2012-02, Vol.85 (1), p.71-74

2012

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Numerical simulation of laser welding of thin metallic plates taking into account convection in the welding pool

Thermophysics and aeromechanics, 2010-09, Vol.17 (3), p.419-434, Article 419

2010

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Development of the collocations and least squares method

Proceedings of the Steklov Institute of Mathematics, 2008-07, Vol.261 (Suppl 1), p.87-106

2008

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Numerical Analysis of the Blow-Up of One-Dimensional Polymer Fluid Flow with a Front

h-, p-, and hp-Versions of the Least-Squares Collocation Method for Solving Boundary Value Problems for Biharmonic Equation in Irregular Domains and Their Applications

Modeling of laser welding of plates made of dissimilar metals with the use of a composite insert

Solution of the Cauchy Problem for Ordinary Differential Equations Using the Collocation and Least Squares Method with the Pade Approximation

Numerical Solution of the Poisson Equation in Polar Coordinates by the Method of Collocations and Least Residuals

High-accuracy versions of the collocations and least squares method for the numerical solution of the Navier-Stokes equations

Construction and study of high-order accurate schemes for solving the one-dimensional heat equation

Application of Computer Algebra Systems to the Construction of the Collocations and Least Residuals Method for Solving the 3D Navier–Stokes Equations

Solving the biharmonic equation in irregular domains by the least squares collocation method

Numerical study of Heat Modes of laser welding of dissimilar metals with an intermediate insert

Development and Verification of a Simplified hp-Version of the Least-Squares Collocation Method for Irregular Domains

Versions of the collocation and least squares method for solving biharmonic equations in non-canonical domains

The least squares collocation method for biharmonic-type equations in the plate theory

High Accuracy Numerical Solution of Elliptic Equations with Discontinuous Coefficients

The least squares collocation method with the integral form of collocation equations for bending analysis of isotropic and orthotropic thin plates

Modeling of laser welding of steel and titanium plates with a composite insert

Solving Elliptic Equations in Polygonal Domains by the Least Squares Collocation Method

Бездивергентный метод коллокаций и наименьших квадратов для расчета течений несжимаемой жидкости и его эффективная реализация

Investigation of the structure and properties of titanium-stainless steel permanent joints obtained by laser welding with the use of intermediate inserts and nanopowders

Simulation of heat transfer processes in laser welding of dissimilar metals with an insert

Modelling of laser welding of flat parts using the modifying nanopowders

Numerical modeling of thermophysical processes in laser-beam welding with formation of a vapor channel

High-order accurate collocations and least squares method for solving the Navier-Stokes equations

Numerical simulation of laser welding of thin metallic plates taking into account convection in the welding pool

Development of the collocations and least squares method

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