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Robust Error Estimates for Second‐Order Stabilization Finite Element Method for Navier–Stokes Equations With Small Viscosity and Nonsmooth Initial Data
Shuo Yang, Wansheng Wang and Chengyu Jin Numerical Methods for Partial Differential Equations 41(1) (2025) https://doi.org/10.1002/num.23166
A Unified $$L^2$$ Norm Error Analysis of SAV-BDF Schemes for the Incompressible Navier–Stokes Equations
A space-time second-order method based on modified two-grid algorithm with second-order backward difference formula for the extended Fisher–Kolmogorov equation
Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow
William Layton, Wenlong Pei, Yi Qin and Catalin Trenchea Numerical Methods for Partial Differential Equations 38(6) 1713 (2022) https://doi.org/10.1002/num.22831
Second-Order Convergence of the Linearly Extrapolated Crank–Nicolson Method for the Navier–Stokes Equations with $$\mathbf{H^1}$$ Initial Data
Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation
An Analysis of the Blended Three-Step Backward Differentiation Formula Time-Stepping Scheme for the Navier-Stokes-Type System Related to Soret Convection
Numerical analysis of modular regularization methods for the BDF2 time discretization of the Navier-Stokes equations
William Layton, Nathaniel Mays, Monika Neda and Catalin Trenchea ESAIM: Mathematical Modelling and Numerical Analysis 48(3) 765 (2014) https://doi.org/10.1051/m2an/2013120
Improved accuracy in regularization models of incompressible flow via adaptive nonlinear filtering
A. L. Bowers, L. G. Rebholz, A. Takhirov and C. Trenchea International Journal for Numerical Methods in Fluids 70(7) 805 (2012) https://doi.org/10.1002/fld.2732
Optimal Error Estimates for a Semi-Implicit Euler Scheme for Incompressible Fluids with Shear Dependent Viscosities
Luigi C. Berselli, Lars Diening and Michael Růžička SIAM Journal on Numerical Analysis 47(3) 2177 (2009) https://doi.org/10.1137/080720024
Postprocessing Finite-Element Methods for the Navier–Stokes Equations: The Fully Discrete Case
Javier de Frutos, Bosco García-Archilla and Julia Novo SIAM Journal on Numerical Analysis 47(1) 596 (2009) https://doi.org/10.1137/070707580
Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator