南开大学学报(自然科学版)2024,Vol.57Issue(3) :88-95,100.

双边反射随机偏微分方程的近似逼近

Lattice Approximations of SPDEs with Two Reflecting Walls

周杰
南开大学学报(自然科学版)2024,Vol.57Issue(3) :88-95,100.

双边反射随机偏微分方程的近似逼近

Lattice Approximations of SPDEs with Two Reflecting Walls

周杰1
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作者信息

  • 1. 南开大学数学科学学院,天津 300071
  • 折叠

摘要

研究了时空白噪声驱动的双边反射随机偏微分方程的数值逼近.利用离散化方法构造渐近方程组,并处理确定性障碍问题来得到收敛性.进一步地采用时空分离的两阶段近似估计验证了强收敛性.最后完成了双边反射随机偏微分方程的数值模拟.

Abstract

An approximation scheme for stochastic partial differential equations with two reflecting walls h1,h2,driven by space-time white noise is studied.The lattice approximation scheme is used to study the convergence.A reflected SDE system is constructed to approximate the stochastic partial differential equations.Furthermore,a two-stage approximation method is applied to study the strong convergence of the scheme.A numerical scheme for reflected SPDE is also established.

关键词

反射随机偏微分方程/确定性障碍问题/独立时间区域Skorohod型问题/依分布收敛

Key words

stochastic partial differential equation with reflection/deterministic obstacle problems/Skorohod-type problems on time-dependent domains/convergence in the sense of distributions

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出版年

2024
南开大学学报(自然科学版)
南开大学

南开大学学报(自然科学版)

CSTPCDCSCD北大核心
影响因子:0.284
ISSN:0465-7942
参考文献量13
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