Bit Complexity of Computing Solutions for Symmetric Hyperbolic Systems of PDEs (Extended Abstract)

Bit Complexity of Computing Solutions for Symmetric Hyperbolic Systems of PDEs (Extended Abstract)
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偏微分方程对称双曲系统计算解的位复杂度(扩展摘要)

DOI:
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发表时间:
2018
期刊:
Conference on Computability in Europe
影响因子:
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通讯作者:
V. Selivanov
V. Selivanov
中科院分区:
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文献类型:
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作者:
S. Selivanova;V. Selivanov

文献摘要

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我们建立了对称双曲型偏微分方程组解算子计算的比特复杂性的上界。在这里,我们继续我们在2009年和2017年的论文中开始的研究,在严格意义上的可计算性分析中,已经为柯西和耗散边值问题的解算子建立了可计算性。
We establish upper bounds of bit complexity of computing solution operators for symmetric hyperbolic systems of PDEs. Here we continue the research started in our papers of 2009 and 2017, where computability, in the rigorous sense of computable analysis, has been established for solution operators of Cauchy and dissipative boundary-value problems for such systems.