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51. 发明申请

US20080306716A1 Method, Apparatus and Computer Program Providing Broadband Preconditioning Based on a Reduced Coupling for Numerical Solvers 失效
标题翻译：基于数值求解器的减少耦合的宽带预处理方法，装置和计算机程序
公开(公告)号：US20080306716A1
公开(公告)日：2008-12-11
申请号：US12192481
申请日：2008-08-15
申请人： Peter Feldmann , Jason D. Morsey , Barry J. Rubin
发明人： Peter Feldmann , Jason D. Morsey , Barry J. Rubin
IPC分类号： G06F7/60 , G06F1/00 , G06G7/48
CPC分类号： G06F17/12
摘要： This invention relates to computing numerical solutions of linear systems of equations, specifically to implementing preconditioning of the coefficient matrix of such a system. The preconditioning applies to any coefficient matrix, dense or sparse, based on the solutions of a physical problem of unknown functions, commonly referred to as basis or interpolation functions, where the basis function spans more then one mesh element. Examples of such linear systems can result from, as examples, an electromagnetic analysis of printed circuit boards or field scattering in radar applications, fluid mechanics and acoustics. A method and system to compute a preconditioner for a coefficient matrix A that is compatible with the linear system of equations that provides basis function support over at least two mesh elements. Coupling of the preconditioner between partitions of a portioned mesh representation is only through basis functions at the partition boundaries.
摘要翻译：本发明涉及计算线性方程组的数值解，具体涉及实现这种系统的系数矩阵的预处理。基于未知函数的物理问题的解决方案，通常称为基础函数或插值函数，其中基函数跨越多于一个网格元素，该预处理适用于任何密集或稀疏的系数矩阵。作为示例，这种线性系统的示例可以从印刷电路板的电磁分析或雷达应用中的场散射，流体力学和声学等方面得到。一种用于计算系数矩阵A的预处理器的方法和系统，该系数矩阵A与在至少两个网格元素上提供基函数支持的线性方程组兼容。分段网格表示的分区之间的预处理器的耦合仅通过分区边界处的基函数。

52. 发明申请

US20080114572A1 Efficient and Incremental Sensitivity Analysis for Linear Circuits 审中-公开
标题翻译：线性电路的高效和增量灵敏度分析
公开(公告)号：US20080114572A1
公开(公告)日：2008-05-15
申请号：US11560152
申请日：2006-11-15
申请人： Peter Feldmann , David D. Ling
发明人： Peter Feldmann , David D. Ling
IPC分类号： G06F17/15 , G06F17/16
CPC分类号： G06F17/5036
摘要： A method, system and computer readable medium that determine a sensitivity value of a linear circuit. A number of ingredients are computed with respect to the interconnect circuit which are largely independent of each other. The ingredients are combined and if any one of the ingredients changes, it is recalculated and combined with the other ingredients which do not have to be recalculated.
摘要翻译：确定线性电路的灵敏度值的方法，系统和计算机可读介质。相对于彼此大体上独立的互连电路计算了许多成分。组合成分，如果任何一种成分发生变化，则重新计算，并与不必重新计算的其他成分组合。

53. 发明申请

US20050177325A1 System and method for efficient analysis of transmission lines 有权
标题翻译：传输线有效分析的系统和方法
公开(公告)号：US20050177325A1
公开(公告)日：2005-08-11
申请号：US10776716
申请日：2004-02-11
申请人： Alina Deutsch , Peter Feldmann , Albert Ruehli , Howard Smith
发明人： Alina Deutsch , Peter Feldmann , Albert Ruehli , Howard Smith
IPC分类号： G01R15/00 , G01R31/28
CPC分类号： G01R31/2813
摘要： A system and method for analyzing a circuit with transmission lines includes determining which sources influence each of a plurality of transmission lines, based on coupling factors. Transmission line parameters are computed based on the sources, which influence each transmission line. A transient response or frequency response is analyzed for each transmission line by segmenting each line to perform an analysis on that line. The step of analyzing is repeated using waveforms determined in a previous iteration until convergence to a resultant waveform has occurred.
摘要翻译：用于使用传输线分析电路的系统和方法包括基于耦合因素来确定哪些源影响多条传输线中的每一条。传输线参数是基于影响每条传输线的源计算的。通过分割每行来对每条传输线分析瞬态响应或频率响应，以对该行进行分析。使用在先前迭代中确定的波形重复分析步骤，直到已经发生收敛到合成波形。

54. 发明授权

US06023573A Apparatus and method for analyzing circuits using reduced-order modeling of large linear subcircuits 有权
标题翻译：使用大型线性子电路的降阶建模分析电路的装置和方法
公开(公告)号：US06023573A
公开(公告)日：2000-02-08
申请号：US240432
申请日：1999-01-29
申请人： Zhaojun Bai , Peter Feldmann , Roland W. Freund
发明人： Zhaojun Bai , Peter Feldmann , Roland W. Freund
IPC分类号： G06F17/50
CPC分类号： G06F17/5036
摘要： A method and apparatus for generating and analyzing reduced-order models of linear circuits. The method and apparatus generates a characteristic tridiagonal matrix using a look-ahead Lanczos procedure and then checks the matrix for stability and passivity. If the matrix is not stable and passive, the matrix is modified via a partial Pade via Lanczos approximation algorithm and then rechecked for passivity and stability. The process is iterated until a passive and stable model is generated. When a satisfactory matrix is generated, a Pade approximant of a transfer function of the circuit is computed and the frequency response of this circuit is generated and displayed.
摘要翻译：一种用于生成和分析线性电路的低阶模型的方法和装置。该方法和装置使用先行Lanczos程序生成特征三对角矩阵，然后检查矩阵的稳定性和被动性。如果矩阵不稳定和被动，则通过Lanczos近似算法通过部分Pad + E，acu e + EE修改矩阵，然后重新检查被动和稳定性。迭代该过程直到生成被动和稳定的模型。当产生令人满意的矩阵时，计算电路的传递函数的Pad + E，acu e + EE近似值，并生成并显示该电路的频率响应。

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