### Abstract

Mathematical and numerical analysis are applied to a nonlinear operator equation arising in monetary economics. For the nonlinear operator equation, the contraction property is established, and fixed point iterations are employed to numerically solve the equation using a finite element method. Convergence rate and error estimates are given for the numerical scheme. The finite element method has been implemented as computer programs which make extensive use of computer software packages such as Matlab (for numerical computations and graphics) and Mathematica (for symbolic computation).

Original language | English (US) |
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Pages (from-to) | 1335-1351 |

Number of pages | 17 |

Journal | Journal of Economic Dynamics and Control |

Volume | 22 |

Issue number | 8-9 |

State | Published - Jul 3 1998 |

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### All Science Journal Classification (ASJC) codes

- Economics and Econometrics
- Control and Optimization
- Applied Mathematics

### Cite this

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*Journal of Economic Dynamics and Control*, vol. 22, no. 8-9, pp. 1335-1351.

**Numerical analysis of a nonlinear operator equation arising from a monetary model.** / Li, Jenny Xiaoe.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Numerical analysis of a nonlinear operator equation arising from a monetary model

AU - Li, Jenny Xiaoe

PY - 1998/7/3

Y1 - 1998/7/3

N2 - Mathematical and numerical analysis are applied to a nonlinear operator equation arising in monetary economics. For the nonlinear operator equation, the contraction property is established, and fixed point iterations are employed to numerically solve the equation using a finite element method. Convergence rate and error estimates are given for the numerical scheme. The finite element method has been implemented as computer programs which make extensive use of computer software packages such as Matlab (for numerical computations and graphics) and Mathematica (for symbolic computation).

AB - Mathematical and numerical analysis are applied to a nonlinear operator equation arising in monetary economics. For the nonlinear operator equation, the contraction property is established, and fixed point iterations are employed to numerically solve the equation using a finite element method. Convergence rate and error estimates are given for the numerical scheme. The finite element method has been implemented as computer programs which make extensive use of computer software packages such as Matlab (for numerical computations and graphics) and Mathematica (for symbolic computation).

UR - http://www.scopus.com/inward/record.url?scp=0007033145&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0007033145&partnerID=8YFLogxK

M3 - Article

VL - 22

SP - 1335

EP - 1351

JO - Journal of Economic Dynamics and Control

JF - Journal of Economic Dynamics and Control

SN - 0165-1889

IS - 8-9

ER -