VOLUME 17 NUMBER 6 NOVEMBER 2001
Numerical Methods Partial Differential
Equations
AN INTERNATIONAL JOURNAL
TABLE OF CONTENTSA Priori Error Estimates for Interior Penalty Versions of the Local
Discontinuous Galerkin Method Applied to Transport E q u a t i o n s . . . 545
Clint Daw/son and Jennifer Proft
An Eulerian-Lagrangian Substructuring Domain Decomposition Method for
Unsteady-State Advection-Diffusion E q u a t i o n s . . . 565
Hong Wang and Mohamed AI-Lawatia
Analysis of a Block Red-Black Preconditioner Applied to the Hermite
Collocation Discretization of a Model Parabolic Equation . . . 584
Stephen H. Brill and George F. Finder
Linear Stability Analysis and Fourth-Order Approximations at First Time Level
for the Two Space Dimensional Mildly Quasi-Linear Hyperbolic Equations . . . 607
R. K. Mohanty, Urvashi Arora and M. K. Jain
An Unconditionally Stable and 0(r2 + /i4) Order L-^ Convergent Difference
Scheme for Linear Parabolic Equations with Variable Coefficients . . . 619
Zhi-Zhong Sun
Stability of Time-Splitting Schemes for the Stokes Problem with Stabilized
Finite Elements . . . 632 Marco Picasso and Jacques Rappaz
Extension of High-Order Compact Schemes to Time-Dependent Problems . . . 657
W. F. Spotz and G. F. Carey
A Fourier Method for Computing the Perturbation to A Two-Dimensional
Electric Potential by a Conductor of Arbitrary Shape . . . 673 Stephen P. Huestis
An Unconditionally Stable Alternating Direction Implicit Scheme for the Two
Space Dimensional Linear Hyperbolic Equation . . . 684
Ft. K. Mohanty and M. K. Jain
An Analysis for the Compressible Stokes Equations by First-Order System of
Least-Squares Finite Element M e t h o d . . . 689
