DOI10.1137/S0036142900368642zbMath1003.65091MaRDI QIDQ2719215
Natalia Kopteva
Publication date: 21 June 2001
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Uniform convergence analysis of finite difference approximations for advection–reaction–diffusion problem on adaptive grids,
Two improved algorithms and implementation for a singularly perturbed problem on moving meshes,
A posteriori error estimation and adaptive strategy for a nonlinear fractional differential equation,
A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection-diffusion problems,
Numerical Analysis of a Nonlinear Singularly Perturbed Delay Volterra Integro-Differential Equation on an Adaptive Grid,
Hölder regularity for abstract semi-linear fractional differential equations in Banach spaces,
Analysis of an upwind finite-difference scheme for a system of coupled singularly perturbed convection-diffusion equations,
A robust spline difference method for Robin-type reaction-diffusion problem using grid equidistribution,
An efficient adaptive grid method for a system of singularly perturbed convection-diffusion problems with Robin boundary conditions,
A posteriori error estimation in maximum norm for a two-point boundary value problem with a Riemann-Liouville fractional derivative,
An adaptive moving grid method for a system of singularly perturbed initial value problems,
A brief survey on numerical methods for solving singularly perturbed problems,
An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh,
An equidistributed grid-based second-order scheme for a singularly perturbed Fredholm integro-differential equation with an interior layer,
Layer-adapted meshes for convection-diffusion problems,
Numerical treatment of a quasilinear initial value problem with boundary layer,
Numerical analysis of a system of semilinear singularly perturbed first‐order differential equations on an adaptive grid,
A robust adaptive grid method for first-order nonlinear singularly perturbed Fredholm integro-differential equations,
An adaptive grid method for a singularly perturbed convection-diffusion equation with a discontinuous convection coefficient,
A priori and a posteriori error estimation for singularly perturbed delay integro-differential equations,
Uniform pointwise convergence for a singularly perturbed problem using arc-length equidistribution.,
Maximum norm a posteriori error estimate for a 3D singularly perturbed semilinear reaction-diffusion problem,
Parameter uniform numerical method for a system of two coupled singularly perturbed parabolic convection-diffusion equations,
A robust adaptive grid method for singularly perturbed Burger-Huxley equations,
A robust adaptive grid method for a system of two singularly perturbed convection-diffusion equations with weak coupling,
Stability of a streamline diffusion finite element method for turning point problems,
A posteriori error estimates for one-dimensional convection-diffussion problems,
Stability and accuracy of adapted finite element methods for singularly perturbed problems,
Uniformly convergent hybrid schemes for solutions and derivatives in quasilinear singularly perturbed BVPs,
Uniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid,
Convergence analysis of moving Godunov methods for dynamical boundary layers,
On a set of singularly perturbed convection--diffusion equations,
A posteriori error estimation for a singularly perturbed Volterra integro-differential equation,
A posteriori error analysis for a fractional differential equation,
Error control for approximate solutions of a class of singularly perturbed boundary value problems,
Grid equidistribution for reaction-diffusion problems in one dimension