Efficient parameter-robust numerical methods for singularly perturbed semilinear parabolic PDEs of convection-diffusion type

Pointwise error estimates for a system of two singularly perturbed time‐dependent semilinear reaction–diffusion equations

(2021) S. Chandra Sekhara Rao et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Higher order computational method for a singularly perturbed nonlinear system of differential equations

(2021) Manikandan Mariappan et al.   Journal of Applied Mathematics and Computing

An efficient and uniformly convergent scheme for one-dimensional parabolic singularly perturbed semilinear systems of reaction-diffusion type

(2019) C. Clavero et al.   NUMERICAL ALGORITHMS

A robust domain decomposition algorithm for singularly perturbed semilinear systems

(2016) Sunil Kumar et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

An optimal time-stepping algorithm for unsteady advection–diffusion problems

(2016) Naresh M. Chadha et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

High Order Semi-implicit Schemes for Time Dependent Partial Differential Equations

(2016) Sebastiano Boscarino et al.   JOURNAL OF SCIENTIFIC COMPUTING

Linearly Implicit IMEX Runge--Kutta Methods for a Class of Degenerate Convection-Diffusion Problems

(2015) Sebastiano Boscarino et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit

(2013) S. Boscarino et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

ε-Uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with nterior layers

(2011) Kaushik Mukherjee et al.   NUMERICAL ALGORITHMS

A brief survey on numerical methods for solving singularly perturbed problems

(2010) Mohan K. Kadalbajoo et al.   APPLIED MATHEMATICS AND COMPUTATION

Richardson extrapolation technique for singularly perturbed parabolic convection–diffusion problems

(2010) Kaushik Mukherjee et al.   COMPUTING

Parameter-uniform hybrid numerical scheme for time-dependent convection-dominated initial-boundary-value problems

(2009) Kaushik Mukherjee et al.   COMPUTING

Conservative numerical method for a system of semilinear singularly perturbed parabolic reaction‐diffusion equations

(2009) L. Shishkina et al.   Mathematical Modelling and Analysis