Given a graph of a fractal interpolation function f which is the attractor of an unknown IFS with affine constration maps w1 ,w2 ,… ,wN ,the maps wi(i= 1,2,… ,N)are found based on the self-similarity of the zero-cro...Given a graph of a fractal interpolation function f which is the attractor of an unknown IFS with affine constration maps w1 ,w2 ,… ,wN ,the maps wi(i= 1,2,… ,N)are found based on the self-similarity of the zero-crossing points of wavelet transform. The effectiveness of method is shown in an example.展开更多
The boundary measure method is applied to transfer the form of the integral equation in order to use the collocation method or Galerkin method. A simple way to computer the coefficients of the wavelet series is also i...The boundary measure method is applied to transfer the form of the integral equation in order to use the collocation method or Galerkin method. A simple way to computer the coefficients of the wavelet series is also introduced. The way presented in this paper can be used to solve PDE problem in the two dimension region with any form of boundary.展开更多
我们认为问题 u 是 t (x， t ) ， 0 鈮 ? x < 1， t 鈮 ? 0，在 Cauchy 数据 g (t) 在 x = 被给的地方 1。这是在边界 g (t) 上的小骚乱能生产的意义的一个提出病的问题它的答案上的大改变(如果它存在) 。我们将定义一个小浪答案在...我们认为问题 u 是 t (x， t ) ， 0 鈮 ? x < 1， t 鈮 ? 0，在 Cauchy 数据 g (t) 在 x = 被给的地方 1。这是在边界 g (t) 上的小骚乱能生产的意义的一个提出病的问题它的答案上的大改变(如果它存在) 。我们将定义一个小浪答案在可伸缩的空间 V j 获得提出得好的接近问题。在以前的报纸，有关错误估计的理论结果是 L 2 标准和在 x = 稳定的答案 aren 鈥檛 0。在实践，然而，答案通常被要求在边界稳定。在这份报纸，我们将在间隔 x 鈭 ? 上给一致集中[0， 1 ] 。关键词斜着加热方程-多决定分析-迈耶小浪答案先生( 2000 )题目分类 42C40 由北京自然科学基础支持了(资助 Nos. 1092003 并且 1082003 )，中国(资助号码 10871012 )的国家自然科学基础，北京教育委员会基础(资助号码 00600054R1002 )，并且北京教育委员会(资助号码 00600054K2009 )展开更多
文摘Given a graph of a fractal interpolation function f which is the attractor of an unknown IFS with affine constration maps w1 ,w2 ,… ,wN ,the maps wi(i= 1,2,… ,N)are found based on the self-similarity of the zero-crossing points of wavelet transform. The effectiveness of method is shown in an example.
文摘The boundary measure method is applied to transfer the form of the integral equation in order to use the collocation method or Galerkin method. A simple way to computer the coefficients of the wavelet series is also introduced. The way presented in this paper can be used to solve PDE problem in the two dimension region with any form of boundary.
基金Supported by Beijing Natural Science Foundation (Grant Nos. 1092003 and 1082003)National Natural Science Foundation of China (Grant No. 10871012)+1 种基金Beijing Educational Committee Foundation (Grant No. 00600054R1002)Science and Technology Innovation Foundation of Beijing Educational Committee (Grant No. 00600054K2009)
文摘我们认为问题 u 是 t (x， t ) ， 0 鈮 ? x < 1， t 鈮 ? 0，在 Cauchy 数据 g (t) 在 x = 被给的地方 1。这是在边界 g (t) 上的小骚乱能生产的意义的一个提出病的问题它的答案上的大改变(如果它存在) 。我们将定义一个小浪答案在可伸缩的空间 V j 获得提出得好的接近问题。在以前的报纸，有关错误估计的理论结果是 L 2 标准和在 x = 稳定的答案 aren 鈥檛 0。在实践，然而，答案通常被要求在边界稳定。在这份报纸，我们将在间隔 x 鈭 ? 上给一致集中[0， 1 ] 。关键词斜着加热方程-多决定分析-迈耶小浪答案先生( 2000 )题目分类 42C40 由北京自然科学基础支持了(资助 Nos. 1092003 并且 1082003 )，中国(资助号码 10871012 )的国家自然科学基础，北京教育委员会基础(资助号码 00600054R1002 )，并且北京教育委员会(资助号码 00600054K2009 )
