蒋耀林
大型复杂工程系统(如集成电路系统,控制系统,耦合偏微分方程系统等)的新型算法
个性化签名
- 姓名:蒋耀林
- 目前身份:
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学术头衔:
博士生导师, 教育部“新世纪优秀人才支持计划”入选者
- 职称:-
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学科领域:
计算数学
- 研究兴趣:大型复杂工程系统(如集成电路系统,控制系统,耦合偏微分方程系统等)的新型算法
蒋耀林,1966年10月3日生,江苏扬州人。1985年本科毕业于四川大学数学系,1988年和1992年分别获西安交通大学计算数学硕士和博士学位。1993年晋升为西安交通大学副教授。1998年破格晋升为西安交通大学教授,同年被聘为数学学科博士生指导教师。陕西省优秀留学回国人员(1998年)。
教育部优秀青年教师(2001年)。教育部跨世纪优秀人才(2002年)。国务院特殊津贴专家(2006年)。王宽诚育才奖获得者(2007年)。中国工业与应用数学学会(CSIAM)常务理事(2004年--)。陕西省工业与应用数学学会理事长(2006年--)。西安交通大学“腾飞”特聘教授(2005年--)。西安交通大学数学学科(系)主任(2004年--)。
1992年10月至1994年10月在西安交通大学机械结构强度与振动国家重点实验室做博士后研究。1996年5月至1997年6月在香港中文大学讯息工程学系做博士后研究。1999年1月至2000年7月在香港城市大学电子工程系以研究员(Research Fellow)身份做客座研究。2004年11月至2005年11月在比利时鲁汶大学(Katholieke Universiteit Leuven)计算机科学系以高级研究员(Senior Research Fellow)身份做客座研究。
学术论文刊登在国内外著名期刊上,如“SIAM J. Numerical Analysis”,“Mathematics of Computation”,“IEEE Trans. Circuits and Systems - Part I”, “IEE Proc. of Circuits, Devices and Systems”,“Nonlinear Analysis - TMA”,“Applied Numerical Mathematics”,“Proc. of the Amer. Math. Society”,“Physics Letters A”,“Physica A”,“数学学报”,“数学年刊”, “电子学报”,“计算机学报”,“半导体学报”,“计算数学”,“应用数学学报”,等。
先后主持4项国家自然科学基金项目,1项国家863高技术项目,1项国家973基础研究子项目,和3项教育部项目。研究成果曾获1996年陕西省教委科技一等奖,1997年陕西省科技进步二等奖,以及2003年教育部自然科学二等奖。
目前主要研究任务集中在大型复杂工程系统(如集成电路系统,控制系统,耦合偏微分方程系统等)的新型算法方面。
个人主页:http://yljiang.gr.xjtu.edu.cn
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成果数
6
蒋耀林, YAO-LIN JIANG§, AND RICHARD M M CHEN†
This paper was published in Mthematics of Computation (vol. 74, no.250, pp. 781-804, 2005).,-0001,():
-1年11月30日
We propose an algorithm, which is based on the wavefnrm relaxation (WR) approach, to coinpnte the periodic sohltions of a linear system described by difierential algebraic equations For this kind of two-point boundary problems, we derive an analytic expression of the spectral set for the periodic WR operator. We show that the periodic WR algorithm is convergent if the snpreinllIn value of the spectral radii for a series of matrices derived froln the system is less than one. Numerlcal examples, where discrete wavefnrms are computed with a backward-difie, rence fnrmnla. filrther ilhlstrate the correctness of the theoretical work in this paper.
Differential-algebraic equations,, periodic solutions., wavefirom relaxation,, spectra of linear operators,, linear multistep methods,, finite-difference,, nnnlerical analysis,, scientific computing,, circuit sinmlatlon.,
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【期刊论文】On Time-Domain Simulation of Lossless Transmission Lines with Nonlinear Terminations*
蒋耀林, Yao-Lin Jiang
This paper was published in SIAM Journal on Numerical Analysis (vol. 42, no.3, pp. 1018-1031, 2004).,-0001,():
-1年11月30日
A tiine-domain approach is presented to solve nonlinear circuits with loss less translnission lines. Mathenlatically,the circuits are described by a special kind of nonlinear differential-algebraic equatious fDAEs)with multiple staut delays. In order to directly compute these delay systems in time-domaiu, decoupling by waveform relaxatiou (WR) is applied to the systems. For the relaxation-based umthod we provide a uew convergeuce proof. Nunlerical experimeuts are giveu to illustrate the novel approach.
Nonlinear circuits, transnlission lines,, differential-algebraic equations with multiple delays,, waveorm relaxation,, circuit simulation.,
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蒋耀林, YAO-LIN JIANG
This paper was published in IEEE Trans. Circuits and System-Part I (vol. 51, no.9, pp. 1770-1780, 2004).,-0001,():
-1年11月30日
For a general class of nonlinear differential-Mgebraic equations of index one, we develop and unify a convergence theory on waveform relaxation (WR). Convergenee conditions are achieved fnr the eases of continuous-time and discrete time WR approximations. Most of known convergence results in this field can be easily derived from tile new theory established here.
Differential-algebraic equations, waveform relaxation, continuous-time and discrete-time WR iterations, convergence conditions, numerical algorithms, circuit simulation.,
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【期刊论文】Wayeform Relaxation of Nonlinear Second-order Differential Equations*
蒋耀林, Yao-Lin Jiang, , Richard M.M. Chen, and Omar Wing
This paper was published in IEEE Trans. Circuits and System-Part I (vol. 48, no.11, pp. 1344-1347, 2001).,-0001,():
-1年11月30日
In this paper wc give a simple theorem Oil the waveform relaxation (WR) solution for a systenl of nonlinear SOeOnd-order diffcrential equations It is shown that if the nornl of certain matrices derived froln the Jacobians of the systenl equations is less than one, then the WR solution converges It is also the first tillle that a convergence condition is obtained for this general kind of nonlinear systems in the WR literarture Numerieal experinlents arc providcd to confirm the theoretical analysis.
Sccond-ordcr differential equations,, waveform relaxation parellcl processing,, circuit sinnllation
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蒋耀林, Yao-Lin Jiang, , Richard M.M. Chen, and Omar Wing
This paper was published in IEEE Trans. Circuits and System-Part I (vol. 48, no.6, pp. 789-780, 2001).,-0001,():
-1年11月30日
We study the convergence performance of relaxation-based algorithms for circuit sinmlation in the time doraain The circuits are modelled by linem integral-difierential-algebraic equations. We show that in theory convergence depends only on the spectral properties of certain matrices when splitting is applied to the circuit matrices to set up the waveforill relaxation solution of a circuit. A new decoupling technique is derived, which speeds up the convergence of relaxation-based algorithlns. In function spaces a Krylov's subspace method. namely the waveforirl generalized minimal residual algorithm,is also presented in the paper. Nuinerical examples are given to illustrate how judicious splitting mal how Krylov's method Call help improve convergence in sorlle situations.
Linear integral-difierential-algebraic equations,, waveforill relaxation,, Krylov', s subspace method,, matrix splitting,, transient analysis parallel processing,, circuit simulation
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蒋耀林, Yao-Lin Jiang, , Omar Wing
This paper was published in Applied Numerical Mathematics (vol. 36, no.2-3, pp. 281-297, 2004).,-0001,():
-1年11月30日
We present and prove a new sufficient condition for convergence of the general wave form relaxation algorithm in the solution of a system of nonlinear differential-algebraic equations. Tile proof is based on tile spectral theory of linear operators. The new condition suggests and we demonstrate that previously published sulcient conditions are unnecessarily restrictive.
Nonlinear differential-algebraic equations,, Picard iteration,, waveform relaxation,, eircuit sinnllation
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