1. Muzafarov, I.F. and Utyuzhnikov,
S.V., "Application of compact finite-difference schemes to the initial
boundary value problem for a hyperbolic system of equations", J. of Computational Mathematics and
Mathematical Physics, 1997, V. 37, N3, pp. 299-306.
Adaptive
moving meshes:
2. Gan'zha, D.Zh., Muzafarov, I.F.,
and Utyuzhnikov, S.V., "The use of moving adaptive grids in algorithms
with compact approximations", J. of
Computational Mathematics and
Mathematical Physics, 1995,
V.35, N8, pp. 949-957.
Shock-capturing
compact schemes:
3. Muzafarov, I.F. and
Utyuzhnikov, S.V., "Numerical investigation of dissipation processes
influence on motion of thermals in stratified atmosphere", Russian J. of Computational Mechanics,
1993, V.1, N3, pp. 103-114.
ENO
SCHEMES ON ADAPTIVE MOVING MESHES
4. Rudenko, D.V., and Utyuzhnikov,
S.V., “Use of dynamically adaptive grids for modeling three-dimensional
unsteady gas flows with high gradients”, J. of Computational Mathematics and
Mathematical Physics, 2002, V.42, N3, pp. 377-390.
PRECONDITIONING TECHNIQUE FOR HIGH-ORDER TVD SCHEMES