Bibliography for Euler's Method for D.E.'s

short

  1. Periodic orbits in the Euler method for a class of delay differential equations  
    Koto, T.  
    Computers and Mathematics With Applications, 2001, vol. 42, no. ER12, pp. 1597-1608, Ingenta.  
  2. A comparison of numerical ODE solvers based on Euler methods.  
    Inç, Mustafa; Bildik, Necdet; Bulut, Hasan  
    Math. Comput. Appl. 3 (1998), no. 3, 153--159, MathSciNet.  
  3. Asymptotic Error Expansions for Stiff Equations: The Implicit Euler Scheme  
    W. Auzinger, R. Frank, F. Macsek  
    SIAM Journal on Numerical Analysis, Vol. 27, No. 1. (Feb., 1990), pp. 67-104, Jstor.  
  4. The Backward Euler Method for Numerical Solution of the Hodgkin-Huxley Equations of Nerve Conduction
    Michael Mascagni  
    SIAM Journal on Numerical Analysis, Vol. 27, No. 4. (Aug., 1990), pp. 941-962, Jstor.  
  5. On the Backward Euler Method for Parabolic Equations with Rough Initial Data  
    Huang Mingyou, Vidar Thomee  
    SIAM Journal on Numerical Analysis, Vol. 19, No. 3. (Jun., 1982), pp. 599-603, Jstor.  
  6. The Numerical Solution of Volterra Functional Differential Equations by Euler's Method  
    Colin W. Cryer, Lucio Tavernini  
    SIAM Journal on Numerical Analysis, Vol. 9, No. 1. (Mar., 1972), pp. 105-129, Jstor.   

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003