Numerical solutions of inverse spatial Lotka-Volterra systems

被引：1

作者：

Coles, C

Murio, D

机构：

[1] Elon Univ, Elon College, NC 27244 USA

[2] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2005年 / 42卷 / 13期

关键词：

Lotka-Volterra; parameter estimation; mollification; generalized cross-validation; inverse problems;

D O I：

10.1016/j.mcm.2005.02.007

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A numerical marching scheme is introduced for the recovery of the solutions and gradient distributions in a one-dimensional nonlinear system of parabolic partial differential equations with space dependent coefficients. In this inverse problem, only Cauchy noisy data at the active boundary is given and no information about the amount and/or character of the noise in the data is assumed. The error analysis for the algorithm is discussed and several numerical examples are presented. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1411 / 1420

页数：10

共 13 条

[1]

[Anonymous], 1995, MODELING NATURE EPIS

[2] COMPETITION AND COEXISTENCE IN SPATIALLY HETEROGENEOUS ENVIRONMENTS [J].