Concepedia

New third- and fourth-order singly diagonally implicit two-step peer triples with local and global error controls for solving stiff ordinary differential equations

R. Weiner, Gennady Yu. Kulikov, Steffen Beck, J�rgen Bruder

Journal of Computational and Applied Mathematics · 2016 · 18 citations · 17 references

Concepts

Natural SciencesComputational EngineeringMathematicsDifferential EquationsImplicit ModelingIterative SolversNumerical Methods For Differential EquationsPartial Differential EquationsSystems Of Differential EquationsDifferential Equation SolversError-resistant ControlsHigh-order SchemesNumerical Solutions Of Ordinary Differential EquationsOrdinary Differential Equation SolversSecond-order Differential EquationsStiff Equation Solvers

References

17

Solving ordinary differential equations I. nonstiff problems

Ernst Hairer, Gerhard Wanner · Mathematics and Computers in Simulation · 1987 · 4.1K citations · Full text

Natural Sciences, Mathematics, Computational Mechanics +9

The MATLAB ODE Suite

L. F. Shampine, Mark W. Reichelt · SIAM Journal on Scientific Computing · 1997 · 3.6K citations · Full text

Natural Sciences, Computer Science, Differential Equations +9

Stability of Runge–Kutta Methods for Stiff Nonlinear Differential Equations

Journal of Computational and Applied Mathematics · 1986 · 752 citations

Natural Sciences, Mathematics, Computational Mechanics +13

Optimal estimation with an introduction to stochastic control theory

David Christian Evar Kraft · Automatica · 1987 · 388 citations

Natural Sciences, Mathematics, Probability Theory +13

Numerical Solution of Ordinary Differential Equations.

J. C. Butcher, L. F. Shampine · Mathematics of Computation · 1995 · 375 citations

Natural Sciences, Mathematics, Physics +13