Simulation of nonuniform interconnects by harmonic differential quadrature method

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Simulation of nonuniform interconnects by harmonic differential quadrature method

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The harmonic differential quadrature (HDQ) method is employed to simulate the nonuniform interconnects in very large scale integration and multichip modules. The HDQ method reduces partial differential equations to ordinary differential equations. Being a direct numerical technique, it can easily be applied to the simulation of nonuniform interconnects.

Inspec keywords: transmission line theory; differential equations; integrated circuit interconnections; numerical analysis; integrated circuit modelling; VLSI; multichip modules

Other keywords: nonuniform interconnects; VLSI; multichip modules; harmonic differential quadrature method; MCM; partial differential equations; very large scale integration; simulation; direct numerical technique; ordinary differential equations

Subjects: Multichip modules; Differential equations (numerical analysis); Semiconductor integrated circuit design, layout, modelling and testing; Numerical analysis; Product packaging; Packaging; Transmission line theory

References

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      • Z.-F. Li , Q.-W. Xu , J.-Z. Zhu . Fast simulation of lossy transmission lines by the modified method ofcharacteristics. Electron. Lett. , 942 - 944
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      • R. Bellman , B.G. Kashef , J. Casti . Differential quadrature: a technique for the rapid solution of nonlinearpartial differential equations. J. Comput. Phys. , 40 - 52
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      • J.-F. Mao , Z.-F. Li . Analysis of the time response of nonuniform multiconductor transmissionlines with amethod of equivalent cascaded network chain. IEEE Trans. , 948 - 954
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      • O.A. Palusinski , A. Lee . Analysis of transients in nonuniform and uniform multiconductor transmissionlines". IEEE Trans. , 127 - 138
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