Some Reports on Numerical Analysis of Hyperbolic Systems and Convection-Diffusion Problems

• 1981
  
  
• W Layton ,
  Estimates away from a discontiuity for dissipative Galerkin methods for hyperbolic equations,
  Math of Comp,36(1981)87-92.
  (Finite Element Methods)
  
  
• W Layton and M Gunzburger,
  Numerical boundary conditions for hyperbolic systems,
  221-232 in: Proc Army Numer. Anal and Computers Conf, 1981.
  (FEM and Finite Difference Methods )
  
  
• 1982
  
  
• W Layton,
  Simplified L^infinity estimates for finite difference approximations to hyperbolic equations,
  PAMS 86(1982),491-495.
  ( FDM's)
  
  
• 1983
  
  
• W Layton,
  Galerkin methods for BVP's for first order systems,
  SIAM JNA, 20(1983),161-171.
  (FEM's)
  
  
• W Layton,
  Stable Galerkin methods for hyperbolic systems,
  SIAM JNA,20(1983)221-233.
  (FEM's)
  
  
• W Layton,
  Stable and unstable numerical boundary conditions for Galerkin approximations
  to hyperbolic systems,
  Comp and Math w Appls, 9(1983),559-566.
  (FEM's)
  
  
• W Layton,
  The FEM for a degenerate hyperbolic PDE,
  BIT 23(1983),231-238.
  
  
• 1984
  
  
• W Layton,
  Error estimates for finite difference approximations to hyperbolic equations for large time,
  PAMS 92(1984) 425-431.
  
  
• W Layton,
  Some effects of numerical integration in finite element approximations to degenerate evolution equations,
  Calcolo 21(1984) 45-60.
  
  
• L Drager, W Layton and R Mattheij,
  Asymptotics of numerical Methods for nonlinear evolution equations,
  Proc VIth Int Conf on Trends in Thy and Practice of Nonlinear Anal,
  N Holland, Amsterdam, 131-136,1984.
  
  
• W Layton,
  An energy analysis of a degenerate hyperbolic partial differential equation,
  Aplikace Matematiky 29 (1984),350-366.
  
  
• W Layton,
  On the convergence of spectral methods for semilinear hyperbolic equations,
  Num. Functional Anal. and Appls., 7(1984),303-310.
  
  
• 1985
  
  
• W Layton,
  On the behavior over long time intervals of finite difference and finite
  element approximations to hyperbolic equations,
  Comp and Math w Appls, 11(1985) 93-112.
  
  
• W Layton,
  High accuracy finite element methods for positive symmetric systems,
  Comp. and Math. w. Appls., 12(1986) 565-579.
  
  
• V Ervin and W Layton,
  High resolution minimal storage algorithms for convection dominated, convection diffusion equations,
  Trans. Fourth Army Conf on Appl. Math. and Computing, 1987,1173-1201.
  
  
• V Ervin and W Layton,
  A second order accurate positive scheme for singularly perturbed boundary value problems,
  Computational Mechanics, 3(1988) 115-128.
  
  
• V Ervin and W layton,
  On the appoximation of derivatives of singularly perturbed boundary value problems,
  SIAM J Scientific Computing,8(1987)265-277.
  
  
• Q Du, M Gunzburger and W Layton,
  Low dispersion, high accuracy finite element methods for hyperbolic systems in several space variables,
  Comp. and Math. w. Appls.,15(1988)447-457.
  
  
• 1989
  
  More coming soon.