Journal of Scientific Computing最新文献_第6页

Spectral Collocation Method for Numerical Solution to the Fully Nonlinear Monge-Ampère Equation 全非线性蒙日-安培方程数值解的谱配位法

IF 2.5 2区数学

Journal of Scientific Computing Pub Date : 2024-07-29 DOI: 10.1007/s10915-024-02617-y

Peipei Wang, Lixiang Jin, Zhaoxiang Li, Lijun Yi

引用次数: 0

Upwind Summation-by-parts Finite Differences: error Estimates and WENO methodology 上风逐部分求和有限差分：误差估算和 WENO 方法

IF 2.5 2区数学

Journal of Scientific Computing Pub Date : 2024-07-26 DOI: 10.1007/s10915-024-02622-1

Yan Jiang, Siyang Wang

引用次数: 0

On Numerical Integration and Conservation of Cell-Centered Finite Difference Method 论以细胞为中心的有限差分法的数值积分与守恒

IF 2.5 2区数学

Journal of Scientific Computing Pub Date : 2024-07-25 DOI: 10.1007/s10915-024-02630-1

Zihao Wang, Fei Liao, Zhengyin Ye

{"title":"On Numerical Integration and Conservation of Cell-Centered Finite Difference Method","authors":"Zihao Wang, Fei Liao, Zhengyin Ye","doi":"10.1007/s10915-024-02630-1","DOIUrl":"https://doi.org/10.1007/s10915-024-02630-1","url":null,"abstract":"Conservation and numerical integration have been important issues for finite difference method related to robustness, reliability and accuracy requirements. In this paper, we discuss the relationship between the discretized Newton–Leibniz formula and four conservation and integration properties, including geometric conservation, flow conservation, surface integration and volume integration, for the multi-block based high-order cell-centered finite difference method. In order to achieve these conservation and integration properties, as well as multi-block compatibility, high-order accuracy, and stability within a unified methodology, we propose a new series of boundary schemes that incorporate all these constraints. To ensure geometric conservation, conservative metrics and Jacobian are adopted for coodinate transformation. To realize flow conservation, the width of the boundary stencil is enlarged to provide more degrees of freedom in order to meet the conservation constraints. To achieve uniformly high-order accuracy with arbitrary multi-block topology, cross-interface interpolation or differencing is avoided by utilizing one-sided scheme. To maintain stability, boundary interpolation scheme is designed as upwindly and compactly as possible. The proposed method is finally tested through a series of numerical cases, including a wave propagation and an isentropic vortex for accuracy verification, several acoustic tests to demonstrate the capability of handling arbitrary multi-block grid topology, a wavy channel and a closed flying wing problem for conservation verification. These numerical tests indicate that the new scheme possesses satisfactory conservation and integration properties while satisfying the requirements for high-order accuracy and stability.","PeriodicalId":50055,"journal":{"name":"Journal of Scientific Computing","volume":"37 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141776664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Sine Transform Based Preconditioning for an Inverse Source Problem of Time-Space Fractional Diffusion Equations 基于正弦变换的时空分形扩散方程反源问题预处理

IF 2.5 2区数学

Journal of Scientific Computing Pub Date : 2024-07-25 DOI: 10.1007/s10915-024-02634-x

Hong-Kui Pang, Hai-Hua Qin, Shuai Ni

引用次数: 0

Unbalanced Optimal Transport and Maximum Mean Discrepancies: Interconnections and Rapid Evaluation 非平衡最优传输和最大均值差异：相互联系与快速评估

IF 2.5 2区数学

Journal of Scientific Computing Pub Date : 2024-07-24 DOI: 10.1007/s10915-024-02586-2

Rajmadan Lakshmanan, Alois Pichler

引用次数: 0

Correction of a High-Order Numerical Method for Approximating Time-Fractional Wave Equation 修正用于逼近时分数波方程的高阶数值方法

IF 2.5 2区数学

Journal of Scientific Computing Pub Date : 2024-07-22 DOI: 10.1007/s10915-024-02625-y

M. Ramezani, R. Mokhtari, Y. Yan

引用次数: 0

Structure-Preserving Algorithm and Its Error Estimate for the Relativistic Charged-Particle Dynamics Under the Strong Magnetic Field 强磁场下相对论带电粒子动力学的结构保持算法及其误差估计

IF 2.5 2区数学

Journal of Scientific Computing Pub Date : 2024-07-22 DOI: 10.1007/s10915-024-02618-x

Ruili Zhang, Tong Liu, Bin Wang, Jian Liu, Yifa Tang

引用次数: 0

Block Diagonalization of Block Circulant Quaternion Matrices and the Fast Calculation for T-Product of Quaternion Tensors 块环四元数矩阵的块对角化和四元张量 T 积的快速计算

IF 2.5 2区数学

Journal of Scientific Computing Pub Date : 2024-07-21 DOI: 10.1007/s10915-024-02623-0

Meng-Meng Zheng, Guyan Ni

{"title":"Block Diagonalization of Block Circulant Quaternion Matrices and the Fast Calculation for T-Product of Quaternion Tensors","authors":"Meng-Meng Zheng, Guyan Ni","doi":"10.1007/s10915-024-02623-0","DOIUrl":"https://doi.org/10.1007/s10915-024-02623-0","url":null,"abstract":"With quaternion matrices and quaternion tensors being gradually used in the color image and color video processing, the block diagonalization of block circulant quaternion matrices has become a key issue in the establishment of T-product based methods for quaternion tensors. Out of this consideration, we aim at establishing a fast calculation approach for the block diagonalization of block circulant quaternion matrices with the help of the fast Fourier transform (FFT). We first show that the discrete Fourier matrix (mathbf {F_p}) cannot diagonalize (ptimes p) circulant quaternion matrices, nor can the unitary quaternion matrices (mathbf {F_p}textbf{j}) and (mathbf {F_p}(1+textbf{j})/sqrt{2}) with (textbf{j}) being an imaginary unit of quaternion algebra. Then we prove that the unitary octonion matrix (mathbf {F_p}textbf{p}) with (textbf{p}=textbf{l},textbf{il}) or ((textbf{l}+textbf{il})/sqrt{2}) ((textbf{l}, textbf{il}) being imaginary units of octonion algebra) can diagonalize a circulant quaternion matrix of size (ptimes p), which further means that a block circulant quaternion matrix of size (mptimes np) can be block diagonalized at the cost of (O(mnplog p)) via the FFT. As one of applications, we give a fast algorithm to speed up the calculation of the T-product between (mtimes ntimes p) and (ntimes stimes p) third-order quaternion tensors via FFTs, whose computational magnitude is almost 1/p of the original one. As another application, we propose an effective compression strategy for third-order quaternion tensors with a certain low-rankness. Simulations on the color image and color video compression demonstrate that our compression strategy with no QSVD involved, can achieve higher quality compression in terms of PSNR values at much less time costs, compared with the QSVD-based methods.","PeriodicalId":50055,"journal":{"name":"Journal of Scientific Computing","volume":"23 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141738109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the Solution Existence for Collocation Discretizations of Time-Fractional Subdiffusion Equations 论时间-分数子扩散方程对位离散化的解存在性

IF 2.5 2区数学

Journal of Scientific Computing Pub Date : 2024-07-18 DOI: 10.1007/s10915-024-02619-w

Sebastian Franz, Natalia Kopteva

引用次数: 0

A Structure-Preserving Semi-implicit IMEX Finite Volume Scheme for Ideal Magnetohydrodynamics at all Mach and Alfvén Numbers 所有马赫数和阿尔弗文数下理想磁流体力学的保结构半隐式 IMEX 有限体积方案

IF 2.5 2区数学

Journal of Scientific Computing Pub Date : 2024-07-17 DOI: 10.1007/s10915-024-02606-1

Walter Boscheri, Andrea Thomann

{"title":"A Structure-Preserving Semi-implicit IMEX Finite Volume Scheme for Ideal Magnetohydrodynamics at all Mach and Alfvén Numbers","authors":"Walter Boscheri, Andrea Thomann","doi":"10.1007/s10915-024-02606-1","DOIUrl":"https://doi.org/10.1007/s10915-024-02606-1","url":null,"abstract":"We present a divergence-free semi-implicit finite volume scheme for the simulation of the ideal magnetohydrodynamics (MHD) equations which is stable for large time steps controlled by the local transport speed at all Mach and Alfvén numbers. An operator splitting technique allows to treat the convective terms explicitly while the hydrodynamic pressure and the magnetic field contributions are integrated implicitly, yielding two decoupled linear implicit systems. The linearity of the implicit part is achieved by means of a semi-implicit time linearization. This structure is favorable as second-order accuracy in time can be achieved relying on the class of semi-implicit IMplicit–EXplicit Runge–Kutta (IMEX-RK) methods. In space, implicit cell-centered finite difference operators are designed to discretely preserve the divergence-free property of the magnetic field on three-dimensional Cartesian meshes. The new scheme is also particularly well suited for low Mach number flows and for the incompressible limit of the MHD equations, since no explicit numerical dissipation is added to the implicit contribution and the time step is scale independent. Likewise, highly magnetized flows can benefit from the implicit treatment of the magnetic fluxes, hence improving the computational efficiency of the novel method. The convective terms undergo a shock-capturing second order finite volume discretization to guarantee the effectiveness of the proposed method even for high Mach number flows. The new scheme is benchmarked against a series of test cases for the ideal MHD equations addressing different acoustic and Alfvén Mach number regimes where the performance and the stability of the new scheme is assessed.","PeriodicalId":50055,"journal":{"name":"Journal of Scientific Computing","volume":"2012 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141719073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0