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Accurate partial difference methods

II. Non-linear problems

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References

  1. Lax, P. D.: On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients. Comm. Pure and Appl. Math.14, 497–520 (1961).

    Google Scholar 

  2. Stetter, H. J.: On the convergence of characteristic finite-difference methods of high accuracy for quasi-linear hyperbolic equations. Num. Math.3, 321–344 (1961).

    Google Scholar 

  3. Strang, G.: Accurate partial difference methods I: Linear Cauchy problems. Arch. Rat. Mech. Anal. (to appear).

  4. Albrecht, J.: Zum Differenzenverfahren bei parabolischen Differentialgleichungen. Z. Angew. Math. Mech.37, 202–212 (1957).

    Google Scholar 

  5. Moore, R. H.: A Runge-Kutta procedure for the Goursat problem in hyperbolic partial differential equations. Arch. Rat. Mech. Anal.7, 37–63 (1961).

    Google Scholar 

  6. John, F.: On the integration of parabolic equations by difference methods. Comm. Pure Appl. Math.5, 155–211 (1952).

    Google Scholar 

  7. Forsythe, G. E., andW. Wasow: Finite-Difference Methods for Partial Differential Equations. New York: John Wiley & Sons 1960.

    Google Scholar 

  8. Lax, P. D., andR. D. Richtmyer: Survey of the stability of linear finite difference equations. Comm. Pure Appl. Math.9, 267–293 (1956).

    Google Scholar 

  9. Lax, P. D., andB. Wendroff: On the stability of difference schemes with variable coefficients. Comm. Pure Appl. Math. (to appear).

  10. Lax, P. D., andB. Wendroff: Systems of conservation laws. Comm. Pure Appl. Math.13, 217–237 (1960).

    Google Scholar 

  11. Kreiss, H.-O.: Über implizite Differenzmethoden für partielle Differential-gleichungen. Num. Math.5, 24–47 (1963).

    Google Scholar 

  12. Parter, S. V.: Stability, convergence, and pseudo-stability of finite-difference equations for an over-determined problem. Num. Math.4, 277–292 (1962).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge 39, Massachusetts

    Gilbert Strang

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  1. Gilbert Strang
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The National Science Foundation supported this research through Grant NSF-GP-149.

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Strang, G. Accurate partial difference methods. Numer. Math. 6, 37–46 (1964). https://doi.org/10.1007/BF01386051

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