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**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.