## Abstract In this paper numerical methods for solving firstβorder hyperbolic partial differential equations are developed. These methods are developed by approximating the firstβorder spatial derivative by thirdβorder finiteβdifference approximations and a matrix exponential function by a thirdβo
A nondispersive and nondissipative numerical method for first-order linear hyperbolic partial differential equations
β Scribed by Yoichi Watanabe
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 241 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0749-159X
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π SIMILAR VOLUMES
In the article classical solutions of initial problems for nonlinear differential equations with deviated variables are approximated by solutions of quasilinear systems of difference equations. Interpolating operators on the Haar pyramid are used. Sufficient conditions for the convergence of the met
A splitting of a third-order partial differential equation into a first-order and a second-order one is proposed as the basis for a mixed finite element method to approximate its solution. A time-continuous numerical method is described and error estimates for its solution are demonstrated. Finally,