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首页> 外文期刊>Computational mathematics and mathematical physics >Iterative Approximate Factorization of Difference Operators of High-Order Accurate Bicompact Schemes for Multidimensional Nonhomogeneous Quasilinear Hyperbolic Systems
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Iterative Approximate Factorization of Difference Operators of High-Order Accurate Bicompact Schemes for Multidimensional Nonhomogeneous Quasilinear Hyperbolic Systems

机译：多维非均匀拟线性型双曲线系统高阶准确双层化方案差分算子的迭代近似分解

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摘要

For solving equations of multidimensional bicompact schemes, an iterative method based on approximate factorization of their difference operators is proposed. The method is constructed in the general case of systems of two- and three-dimensional quasilinear nonhomogeneous hyperbolic equations. The unconditional convergence of the method is proved as applied to the two-dimensional scalar linear advection equation with a source term depending only on time and space variables. By computing test problems, it is shown that the new iterative method performs much faster than Newton's method and preserves a high order of accuracy.
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