Name
Title | ||
|---|---|---|
Galerkin and Runge–Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence |
Abstract | ||
|---|---|---|
We unify the formulation and analysis of Galerkin and Runge–Kutta methods for the time discretization of parabolic equations. This, together with the concept of reconstruction of the approximate solutions, allows us to establish a posteriori superconvergence estimates for the error at the nodes for all methods. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/s00211-011-0363-6 | Numerische Mathematik |
Keywords | Field | DocType |
time discretization,kutta method,unified formulation,posteriori error estimate,posteriori superconvergence estimate,parabolic equation,approximate solution,nodal superconvergence,runge kutta method | Parabolic partial differential equation,Runge–Kutta methods,Discretization,Runge–Kutta method,Mathematical optimization,Mathematical analysis,L-stability,Galerkin method,Superconvergence,Mathematics,Parabola | Journal |
Volume | Issue | ISSN |
118 | 3 | 0945-3245 |
Citations | PageRank | References |
12 | 1.00 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Georgios Akrivis | 1 | 158 | 32.43 |
| Charalambos Makridakis | 2 | 253 | 48.36 |
| Ricardo H. Nochetto | 3 | 907 | 110.08 |