Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters
By Pratibhamoy Das, Volker Mehrmann. BIT Numerical Mathematics, 2015
141 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/ac108eb06977234e27dec5f44e25e71844b412c1
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
In Computational Theory and Mathematics
In Numerical Analysis
Citations in the corpus
- Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data (2018, background): “Let Y(xi, tj) be a discrete solution of (27) to (29), then ||Y ||ΓN ≤ C max {||Y ||ΓN0 , (1)ξ ||LNx ,Nt ε,μ Y ||(ΓN−∪ΓN+) } ,”
- Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis (2021, methodology): “Equation (37) can be written as an equivalent weakly singular integral form by using Fourier cosine transform; for more details, one can see Frankel.”
- A higher order difference method for singularly perturbed parabolic partial differential equations (2018, methodology): “Adopting a similar technique provided in [7,8], it is easy to show that the step lengths generated by the equidistributed mesh obtained by the equidistribution of Equi(x, ε) satisfy maxm hm ≤ CM−1.”