Concepedia

A uniformly convergent analysis for multiple scale parabolic singularly perturbed convection-diffusion coupled systems: Optimal accuracy with less computational time

Shridhar Kumar, Pratibhamoy Das

Applied Numerical Mathematics · 2024 · 57 citations · 34 references

Concepts

Numerical AnalysisEngineeringPerturbation MethodSingularly Perturbed ProblemLess Computational TimeSemi-implicit MethodNumerical SimulationOptimal AccuracyGeometric Singular Perturbation TheoryUniformly Convergent AnalysisComputational MechanicsNumerical Method For Partial Differential EquationMultiscale Modeling

References

34

Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters

Pratibhamoy Das, Volker Mehrmann · BIT Numerical Mathematics · 2015 · 141 citations

Numerical Analysis, Engineering, Singularly Perturbed Problem +8

A higher order difference method for singularly perturbed parabolic partial differential equations

Pratibhamoy Das · The Journal of Difference Equations and Applications · 2018 · 137 citations

Numerical Analysis, Method Of Fundamental Solution, Numerical Computation +15

A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem

Natalia Kopteva, Martin Stynes · SIAM Journal on Numerical Analysis · 2001 · 131 citations

Mathematical Programming, Numerical Analysis, Engineering +18

An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh

Pratibhamoy Das · Numerical Algorithms · 2018 · 128 citations

Numerical Analysis, Time Delay System, Engineering +9

Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem

George Beckett, J. A. Mackenzie · Applied Numerical Mathematics · 2000 · 123 citations

Numerical Analysis, Spectral Theory, Method Of Fundamental Solution +10