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Lie group analysis and robust computational approach to examine mass transport process using Jeffrey fluid model

Applied mathematics and computation, 2022-05, Vol.421, p.126936, Article 126936

2022

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A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media

Journal of computational and applied mathematics, 2015-12, Vol.289, p.134-141

2015

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Adaptive iterative linearization Galerkin methods for nonlinear problems

Mathematics of computation, 2020-11, Vol.89 (326), p.2707-2734

2020

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A family of new globally convergent linearization schemes for solving Richards' equation

Applied numerical mathematics, 2021-01, Vol.159, p.281-296

2021

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Efficient computation of phi-functions in exponential integrators

Journal of computational and applied mathematics, 2020-08, Vol.374, p.112758, Article 112758

2020

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Jacobian-free Locally Linearized Runge–Kutta method of Dormand and Prince for large systems of differential equations

Journal of computational and applied mathematics, 2024-10, Vol.449, p.115974, Article 115974

2024

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On the convergence of adaptive iterative linearized Galerkin methods

Calcolo, 2020-09, Vol.57 (3), Article 24

2020

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Conceptual linearization of Euler governing equations to solve high speed compressible flow using a pressure-based method

Numerical methods for partial differential equations, 2008-03, Vol.24 (2), p.583-604

2008

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Jacobian-free High Order Local Linearization methods for large systems of initial value problems

Applied numerical mathematics, 2023-05, Vol.187, p.158-175

2023

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Convergence rate of weak Local Linearization schemes for stochastic differential equations with additive noise

Journal of computational and applied mathematics, 2015-05, Vol.279, p.106-122

2015

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A weak Local Linearization scheme for stochastic differential equations with multiplicative noise

Journal of computational and applied mathematics, 2017-03, Vol.313, p.202-217

2017

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Stability analysis of the implicit finite difference schemes for nonlinear Schrödinger equation

AIMS mathematics, 2022-01, Vol.7 (9), p.16349-16365

2022

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Convergence rate of strong Local Linearization schemes for stochastic differential equations with additive noise

BIT (Nordisk Tidskrift for Informationsbehandling), 2012-06, Vol.52 (2), p.357-382

2012

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The local linearization scheme for nonlinear diffusion models with discontinuous coefficients

Statistics & probability letters, 1999-04, Vol.42 (3), p.249-256

Stramer, O.

1999

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Estimation of parameters in incomplete data models defined by dynamical systems

Journal of statistical planning and inference, 2007-09, Vol.137 (9), p.2815-2831

2007

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Fix-point linearization schemes for nonlinear steady-state eddy current problems

Mathematical methods in the applied sciences, 2007-09, Vol.30 (14), p.1697-1704

2007

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Green element calculations of nonlinear heat conduction with a time-dependent fundamental solution

Engineering analysis with boundary elements, 2004, Vol.28 (1), p.53-60

Taigbenu, Akpofure E.

2004

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Deduction of ionospheric parameters from retarding potential analyzers

Journal of Geophysical Research, 1969-09, Vol.74 (19), p.4799-4801

Patterson, T. N. L.

1969

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Newton linearization of the Navier–Stokes equations for flow computations using a fully coupled finite volume method

Applied mathematics and computation, 2021-05, Vol.397, p.125916, Article 125916

2021

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Linearized Galerkin FEMs for Nonlinear Time Fractional Parabolic Problems with Non-smooth Solutions in Time Direction

Journal of scientific computing, 2019-07, Vol.80 (1), p.403-419

2019

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Analysis of a linearization scheme for an interior penalty discontinuous Galerkin method for two‐phase flow in porous media with dynamic capillarity effects

International journal for numerical methods in engineering, 2017-11, Vol.112 (6), p.553-577

2017

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A modified L-scheme to solve nonlinear diffusion problems

Computers & mathematics with applications (1987), 2019-03, Vol.77 (6), p.1722-1738

2019

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Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg–Landau equation

Computers & mathematics with applications (1987), 2020-09, Vol.80 (5), p.1201-1220

2020

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Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media

Computers & mathematics with applications (1987), 2019-03, Vol.77 (6), p.1479-1502

2019

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A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction–diffusion equations

Computers & mathematics with applications (1987), 2018-04, Vol.75 (8), p.2835-2850

2018

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Lie group analysis and robust computational approach to examine mass transport process using Jeffrey fluid model

A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media

Adaptive iterative linearization Galerkin methods for nonlinear problems

A family of new globally convergent linearization schemes for solving Richards' equation

Efficient computation of phi-functions in exponential integrators

Jacobian-free Locally Linearized Runge–Kutta method of Dormand and Prince for large systems of differential equations

On the convergence of adaptive iterative linearized Galerkin methods

Conceptual linearization of Euler governing equations to solve high speed compressible flow using a pressure-based method

Jacobian-free High Order Local Linearization methods for large systems of initial value problems

Convergence rate of weak Local Linearization schemes for stochastic differential equations with additive noise

A weak Local Linearization scheme for stochastic differential equations with multiplicative noise

Stability analysis of the implicit finite difference schemes for nonlinear Schrödinger equation

Convergence rate of strong Local Linearization schemes for stochastic differential equations with additive noise

The local linearization scheme for nonlinear diffusion models with discontinuous coefficients

Estimation of parameters in incomplete data models defined by dynamical systems

Fix-point linearization schemes for nonlinear steady-state eddy current problems

Green element calculations of nonlinear heat conduction with a time-dependent fundamental solution

Deduction of ionospheric parameters from retarding potential analyzers

Newton linearization of the Navier–Stokes equations for flow computations using a fully coupled finite volume method

Linearized Galerkin FEMs for Nonlinear Time Fractional Parabolic Problems with Non-smooth Solutions in Time Direction

Analysis of a linearization scheme for an interior penalty discontinuous Galerkin method for two‐phase flow in porous media with dynamic capillarity effects

A modified L-scheme to solve nonlinear diffusion problems

Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg–Landau equation

Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media

A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction–diffusion equations

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