搜索结果: 1-7 共查到“数值代数 o.d.e. systems”相关记录7条 . 查询时间(0.178 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：3D Fracture Development Analysis with A Modified XFEM
XFEM 三维裂缝 发育分析
2023/11/6
扩展有限元法(XFEM)是目前裂纹分析的主流数值方法。2009年起，ABAQUS、ANSYS等主流商业软件集成XFEM并应用于裂纹问题，标志着该方法被工业界广泛接受。然而，在实际应用中XFEM仍然受到两方面的困扰：总体方程高度病态和动力学计算时能量难以守恒。基于“困难的根源在于单位分解插值引入的额外自由度”这一判断和认识，我们提出了一种无额外自由度的改进型扩展有限元方法，有效解决了现有方法总体刚度...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：页岩基质中渗流与破裂过程的微观机理及其数值模拟方法
页岩基质 渗流 破裂过程 微观机理 数值模拟方法
2023/5/5
The production of oil and gas from organic-rich shale formations has changed the worldwide economy and energy outlook. Although extensive research on macroscopic behaviors in shale has been carried ou...
Two-subspace Projection Method for Coherent Overdetermined Systems (Technical Report)
Two-subspace Projection Method Coherent Overdetermined Systems Technical Report Numerical Analysis
2012/4/17
In this technical report we present a Projection onto Convex Sets (POCS) type algorithm for solving systems of linear equations. POCS methods have found many applications ranging from computer tomogra...
Two-subspace Projection Method for Coherent Overdetermined Systems
Two-subspace Projection Method Coherent Overdetermined Systems Numerical Analysis Probability
2012/4/17
We present a Projection onto Convex Sets (POCS) type algorithm for solving systems of linear equations. POCS methods have found many applications ranging from computer tomography to digital signal and...
A cooperative conjugate gradient method for linear systems permitting multithread implementation of low complexity
cooperative conjugate gradient method linear systems multithread implementation low complexity Numerical Analysis
2012/4/17
This paper proposes a generalization of the conjugate gradient (CG) method used to solve the equation $Ax=b$ for a symmetric positive definite matrix $A$ of large size $n$. The generalization consists...
We present a spectral sequence which efficiently computes Betti numbers of a closed semi-algebraic subset of RPn defined by a system of qua-dratic inequalities and the image of the homology homomorphi...
Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems
geometric numerical integration long time numerical evolution
2010/12/15
We present a class of non-standard numerical schemes which are modifications of the discrete gradient method. They preserve the energy integral exactly (up to the round-off error). The considered clas...