Computer-Aided Analysis of Difference Schemes for Partial Differential Equations

Authors:
Victor G. Ganzha;Evgenii V. Vorozhtsov
Affiliations:
-;-
Venue:
Computer-Aided Analysis of Difference Schemes for Partial Differential Equations
Year:
1996

Citing 0
Cited 5

Cited References

Computer algebra handbook
Differential resultant, computer algebra and completely integrable dynamical systems

CASC'10 Proceedings of the 12th international conference on Computer algebra in scientific computing
On Stability, Monotonicity, and Construction of Difference Schemes I: Theory

SIAM Journal on Scientific Computing
On stability of difference schemes. Central schemes for hyperbolic conservation laws with source terms

Applied Numerical Mathematics
Stability investigation of a difference scheme for incompressible Navier-Stokes equations

CASC'07 Proceedings of the 10th international conference on Computer Algebra in Scientific Computing

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Abstract

From the Publisher:A topical and comprehensive reference containing applications of computerized symbolic manipulations for analyzing the stability of a wide range of diverse schemes commonly used for solving problems in gas dynamics, catastrophe theory, heat and mass transfer. Provides basic mathematical formula for implementing each algorithm and all formulas are presented on a variety of computer operating systems using global algebraic symbolic languages such as MAPLE, MATHEMATICA and REDUCE. Features scores of illustrations and examples.