Concepedia

Convergence rates for adaptive approximation of ordinary differential equations

Kyoung-Sook Moon, Anders Szepessy, Raúl Tempone, Georgios E. Zouraris

Numerische Mathematik · 2003 · 22 citations · 27 references

Concepts

ComputingMathematicsDifferential EquationsApproximation AlgorithmsConvergence AnalysisNumerical AlgorithmsNumerical ConvergenceNumerical StabilityOrdinary Differential Equation ModelsAdaptive Weak FormulationConvergenceDifferential Equation SolversLinear ConvergenceNumerical Solutions Of Ordinary Differential EquationsOrdinary Differential Equation SolversSuccessive Approximations

References

27

Deterministic Nonperiodic Flow

Edward N. Lorenz · Journal of the Atmospheric Sciences · 1963 · 19.3K citations · Full text

Natural Sciences, Mathematics, Physics +12

A family of embedded Runge-Kutta formulae

John R. Dormand, P.J. Prince · Journal of Computational and Applied Mathematics · 1980 · 3.6K citations

Computing, Computer Science, Mathematics +8

A posteriori error estimation in finite element analysis

Mark Ainsworth, J. Tinsley Oden · Computer Methods in Applied Mechanics and Engineering · 1997 · 2.2K citations

Computing, Computational Engineering, Computational Mechanics +13

A Convergent Adaptive Algorithm for Poisson’s Equation

Willy Dörfler · SIAM Journal on Numerical Analysis · 1996 · 1.3K citations

Computing, Computer Science, Mathematics +17

An optimal control approach to <i>a posteriori</i> error estimation in finite element methods

Roland Becker, Rolf Rannacher · Acta Numerica · 2001 · 1.2K citations

Computing, Computational Engineering, Computational Mechanics +16