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ITCC
2000
IEEE
13 years 9 months ago
A Unified Derivation of Operational Matrices for Integration in Systems Analysis
Using the operational matrix of an orthogonal function to perform integration for solving, identifying and optimizing a linear dynamic system has several advantages: (1) the metho...
Jiunn-lin Wu, Chin-hsing Chen, Chih-fan Chen
ISSAC
2004
Springer
91views Mathematics» more  ISSAC 2004»
13 years 10 months ago
Hyperexponential solutions of finite-rank ideals in orthogonal ore rings
An orthogonal Ore ring is an abstraction of common properties of linear partial differential, shift and q-shift operators. Using orthogonal Ore rings, we present an algorithm for...
George Labahn, Ziming Li
ISPD
1999
ACM
83views Hardware» more  ISPD 1999»
13 years 9 months ago
Efficient solution of systems of orientation constraints
One subtask in constraint-driven placement is enforcing a set of orientation constraints on the devices being placed. Such constraints are created in order to, for example, implem...
Joseph L. Ganley
SIAMSC
2008
179views more  SIAMSC 2008»
13 years 5 months ago
Multigrid Algorithms for Inverse Problems with Linear Parabolic PDE Constraints
Abstract. We present a multigrid algorithm for the solution of distributed parameter inverse problems constrained by variable-coefficient linear parabolic partial differential equa...
Santi S. Adavani, George Biros
AMC
2005
87views more  AMC 2005»
13 years 5 months ago
Wavelet based preconditioners for sparse linear systems
A class of efficient preconditioners based on Daubechies family of wavelets for sparse, unsymmetric linear systems that arise in numerical solution of Partial Differential Equatio...
B. V. Rathish Kumar, Mani Mehra