On the Construction and Comparison of Difference Schemes

@article{Strang1968OnTC,
  title={On the Construction and Comparison of Difference Schemes},
  author={Gilbert Strang},
  journal={SIAM Journal on Numerical Analysis},
  year={1968},
  volume={5},
  pages={506-517}
}
  • G. Strang
  • Published 1 September 1968
  • Mathematics
  • SIAM Journal on Numerical Analysis

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References

SHOWING 1-10 OF 13 REFERENCES

Numerical methods in multidimensional shocked flows

Numerical methods are described for the calculation of two-dimensional time-dependent in viscid flows that contain shocks. Methods are employed which do not consider the shock as in interior moving

RICHTMYER, A survey of difference methods for nonsteady fluid dynamics, Tech

  • Note 63-2,
  • 1962

CROWLEY, Second-order numerical advection

  • J. Comp. Phys.,
  • 1967

WENDROFF, Difference schemes for hyperbolic equations with high order of accuracy, Comm

  • Pure Appl. Math.,
  • 1964

WENDROFF, Systems of conservation laws, Comm

  • Pure Appl. Math.,
  • 1960

Discrete Variable Methods in Ordinary Differential Equations

A Runge-Kutta for all Seasons

By analyzing the trends over N steps at once, stimates of the accuracy can be derived which compare in reliability with those for classic predictor-corrector methods.

Accurate partial difference methods I: Linear cauchy problems

Systems of conservation laws

Abstract : In this paper a wide class of difference equations is described for approximating discontinuous time dependent solutions, with prescribed initial data, of hyperbolic systems of nonlinear