Implicit and Semi-Implicit Methods Applied to First and Second-Order Systems
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Abstract:
An implicit method and a semi-implicit method applied to first and second-order systems are proposed in this paper. Being 2-Order pricise,these methods have been rigorously jutisfied to be unconditional stable in energy norm. In the struction of formula the coefficeint matrices remain positive definite and symmetry; so the operation of their inverse matrices have been simplified in an approximate procedure.
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Chen Wufan. Implicit and Semi-Implicit Methods Applied to First and Second-Order Systems[J]. Journal of National University of Defense Technology,1987,(1):10-18.