1《数学年刊A辑》是综合性的数学期刊,主要刊登纯粹数学和应用数学两方面具有创造性的以中文书写的学术论文。每年1卷,为季刊,国内外公开发行。欢迎数学工作者踊跃投稿。2本刊发表的部分论文由美国阿伦顿出版公司用英文以季刊《中国当...1《数学年刊A辑》是综合性的数学期刊,主要刊登纯粹数学和应用数学两方面具有创造性的以中文书写的学术论文。每年1卷,为季刊,国内外公开发行。欢迎数学工作者踊跃投稿。2本刊发表的部分论文由美国阿伦顿出版公司用英文以季刊《中国当代数学》(Chinese Journal of Contemporary Mathematics)的刊名出版(简称C辑)。展开更多
1《数学年刊A辑》是综合性的数学期刊,主要刊登纯粹数学和应用数学两方面具有创造性的以中文书写的学术论文。每年1卷,为季刊,国内外公开发行。欢迎数学工作者踊跃投稿。2本刊发表的部分论文由美国阿伦顿出版公司用英文以季刊《中国当...1《数学年刊A辑》是综合性的数学期刊,主要刊登纯粹数学和应用数学两方面具有创造性的以中文书写的学术论文。每年1卷,为季刊,国内外公开发行。欢迎数学工作者踊跃投稿。2本刊发表的部分论文由美国阿伦顿出版公司用英文以季刊《中国当代数学》(Chinese Journal of Contemporary Mathematics)的刊名出版(简称C辑)。展开更多
Partial and Spectral-Viscosity Models for Geophysical Flows Qingshan CHEN Max GUNZBURGER Xiaoming WANG Two models based on the hydrostatic primitive equations are proposed.The first model is the primitive equations wi...Partial and Spectral-Viscosity Models for Geophysical Flows Qingshan CHEN Max GUNZBURGER Xiaoming WANG Two models based on the hydrostatic primitive equations are proposed.The first model is the primitive equations with partial viscosity only,and is oriented towards large-scale wave structures in the ocean and atmosphere.The second model is the viscous primitive equations with spectral eddy viscosity,and is oriented towards turbulent geophysical flows.For both models,the existence and uniqueness of global strong solutions are established.For the second model,the convergence of the solutions to the solutions of the classical primitive equations as eddy viscosity parameters tend to zero is also established.展开更多
A Pseudo-Kinetic Approach for Helmholtz Equation Radjesvarane ALEXANDRE Jie LIAO A lattice Boltzmann type pseudo-kinetic model for a non-homogeneous Helmhol-tz equation is derived in this paper.Numerical results for s...A Pseudo-Kinetic Approach for Helmholtz Equation Radjesvarane ALEXANDRE Jie LIAO A lattice Boltzmann type pseudo-kinetic model for a non-homogeneous Helmhol-tz equation is derived in this paper.Numerical results for some model problems show the robustness and efficiency of this lattice Boltzmann type pseudo-kinetic scheme.The computation at each site is determined only by local parameters,and can be easily adapted to solve multiple scattering problems with many scatterers or wave propagation in non-homogeneous medium without increasing the computational cost.展开更多
On the Error Estimate of the Harmonic Bz Algorithm in MREIT from Noisy Magnetic Flux FieldQun CHEN Jijun LIUMagnetic resonance electrical impedance tomography （MREIT, for short） is a new medical imaging technique de...On the Error Estimate of the Harmonic Bz Algorithm in MREIT from Noisy Magnetic Flux FieldQun CHEN Jijun LIUMagnetic resonance electrical impedance tomography （MREIT, for short） is a new medical imaging technique developed recently to visualize the cross-section conductivity of biologic tissues A new MREIT image reconstruction method called harmonic Bz algorithm was proposed in 2002 with the measurement of Bz that is a single component of an induced magnetic flux density subject to an injection current. The key idea is to solve a nonlinear integral equation by some iteration process. This paper deals with the convergence analysis as well as the error estimate for noisy input data Bz, which is the practical situation for MREIT. By analyzing the iteration process containing the Laplacian operation on the input magnetic field rigorously, the authors give the error estimate for the iterative solution in terms of the noisy level 5 and the regularizing scheme for determining AB approximately from the noisy input data. The regularizing scheme for computing the Laplacian from noisy input data is proposed with error analysis. Our results provide both the theoretical basis and the implementable scheme for evaluating the reconstruction accuracy using harmonic Bz algorithm with practical measurement data containing展开更多
文摘1《数学年刊A辑》是综合性的数学期刊,主要刊登纯粹数学和应用数学两方面具有创造性的以中文书写的学术论文。每年1卷,为季刊,国内外公开发行。欢迎数学工作者踊跃投稿。2本刊发表的部分论文由美国阿伦顿出版公司用英文以季刊《中国当代数学》(Chinese Journal of Contemporary Mathematics)的刊名出版(简称C辑)。
文摘1《数学年刊A辑》是综合性的数学期刊,主要刊登纯粹数学和应用数学两方面具有创造性的以中文书写的学术论文。每年1卷,为季刊,国内外公开发行。欢迎数学工作者踊跃投稿。2本刊发表的部分论文由美国阿伦顿出版公司用英文以季刊《中国当代数学》(Chinese Journal of Contemporary Mathematics)的刊名出版(简称C辑)。
文摘Partial and Spectral-Viscosity Models for Geophysical Flows Qingshan CHEN Max GUNZBURGER Xiaoming WANG Two models based on the hydrostatic primitive equations are proposed.The first model is the primitive equations with partial viscosity only,and is oriented towards large-scale wave structures in the ocean and atmosphere.The second model is the viscous primitive equations with spectral eddy viscosity,and is oriented towards turbulent geophysical flows.For both models,the existence and uniqueness of global strong solutions are established.For the second model,the convergence of the solutions to the solutions of the classical primitive equations as eddy viscosity parameters tend to zero is also established.
文摘A Pseudo-Kinetic Approach for Helmholtz Equation Radjesvarane ALEXANDRE Jie LIAO A lattice Boltzmann type pseudo-kinetic model for a non-homogeneous Helmhol-tz equation is derived in this paper.Numerical results for some model problems show the robustness and efficiency of this lattice Boltzmann type pseudo-kinetic scheme.The computation at each site is determined only by local parameters,and can be easily adapted to solve multiple scattering problems with many scatterers or wave propagation in non-homogeneous medium without increasing the computational cost.
文摘On the Error Estimate of the Harmonic Bz Algorithm in MREIT from Noisy Magnetic Flux FieldQun CHEN Jijun LIUMagnetic resonance electrical impedance tomography （MREIT, for short） is a new medical imaging technique developed recently to visualize the cross-section conductivity of biologic tissues A new MREIT image reconstruction method called harmonic Bz algorithm was proposed in 2002 with the measurement of Bz that is a single component of an induced magnetic flux density subject to an injection current. The key idea is to solve a nonlinear integral equation by some iteration process. This paper deals with the convergence analysis as well as the error estimate for noisy input data Bz, which is the practical situation for MREIT. By analyzing the iteration process containing the Laplacian operation on the input magnetic field rigorously, the authors give the error estimate for the iterative solution in terms of the noisy level 5 and the regularizing scheme for determining AB approximately from the noisy input data. The regularizing scheme for computing the Laplacian from noisy input data is proposed with error analysis. Our results provide both the theoretical basis and the implementable scheme for evaluating the reconstruction accuracy using harmonic Bz algorithm with practical measurement data containing
