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ANZ VOLUME 62 ISSUE 3 COVER AND FRONT MATTER 澳新银行62卷第3期封面和封面
The ANZIAM journal Pub Date : 2020-07-01 DOI: 10.1017/s144618111900021x
{"title":"ANZ VOLUME 62 ISSUE 3 COVER AND FRONT MATTER","authors":"","doi":"10.1017/s144618111900021x","DOIUrl":"https://doi.org/10.1017/s144618111900021x","url":null,"abstract":"","PeriodicalId":74944,"journal":{"name":"The ANZIAM journal","volume":"216 1","pages":"f1 - f2"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75602364","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
POINTWISE RESIDUAL METHOD FOR SOLVING PRIMAL AND DUAL ILL-POSED LINEAR PROGRAMMING PROBLEMS WITH APPROXIMATE DATA 解具有近似数据的原始和对偶病态线性规划问题的点残差法
The ANZIAM journal Pub Date : 2020-07-01 DOI: 10.1017/S1446181120000243
A. Ivanitskiy, V. Ejov, F. Vasilyev
{"title":"POINTWISE RESIDUAL METHOD FOR SOLVING PRIMAL AND DUAL ILL-POSED LINEAR PROGRAMMING PROBLEMS WITH APPROXIMATE DATA","authors":"A. Ivanitskiy, V. Ejov, F. Vasilyev","doi":"10.1017/S1446181120000243","DOIUrl":"https://doi.org/10.1017/S1446181120000243","url":null,"abstract":"Abstract We propose a variation of the pointwise residual method for solving primal and dual ill-posed linear programming with approximate data, sensitive to small perturbations. The method leads to an auxiliary problem, which is also a linear programming problem. Theorems of existence and convergence of approximate solutions are established and optimal estimates of approximation of initial problem solutions are achieved.","PeriodicalId":74944,"journal":{"name":"The ANZIAM journal","volume":"1 1","pages":"302 - 317"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90063244","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ANZ VOLUME 62 ISSUE 3 COVER AND BACK MATTER 澳新银行62卷第3期封面和封底
The ANZIAM journal Pub Date : 2020-07-01 DOI: 10.1017/s1446181119000221
{"title":"ANZ VOLUME 62 ISSUE 3 COVER AND BACK MATTER","authors":"","doi":"10.1017/s1446181119000221","DOIUrl":"https://doi.org/10.1017/s1446181119000221","url":null,"abstract":"","PeriodicalId":74944,"journal":{"name":"The ANZIAM journal","volume":"26 1","pages":"b1 - b5"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86400392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
AN OPTIMAL LINEAR FILTER FOR ESTIMATION OF RANDOM FUNCTIONS IN HILBERT SPACE 希尔伯特空间中随机函数估计的最优线性滤波器
The ANZIAM journal Pub Date : 2020-07-01 DOI: 10.1017/S1446181120000188
P. Howlett, A. Torokhti
{"title":"AN OPTIMAL LINEAR FILTER FOR ESTIMATION OF RANDOM FUNCTIONS IN HILBERT SPACE","authors":"P. Howlett, A. Torokhti","doi":"10.1017/S1446181120000188","DOIUrl":"https://doi.org/10.1017/S1446181120000188","url":null,"abstract":"Abstract Let \u0000$boldsymbol{f}$\u0000 be a square-integrable, zero-mean, random vector with observable realizations in a Hilbert space H, and let \u0000$boldsymbol{g}$\u0000 be an associated square-integrable, zero-mean, random vector with realizations which are not observable in a Hilbert space K. We seek an optimal filter in the form of a closed linear operator X acting on the observable realizations of a proximate vector \u0000$boldsymbol{f}_{epsilon } approx boldsymbol{f}$\u0000 that provides the best estimate \u0000$widehat{boldsymbol{g}}_{epsilon} = X boldsymbol{f}_{epsilon}$\u0000 of the vector \u0000$boldsymbol{g}$\u0000 . We assume the required covariance operators are known. The results are illustrated with a typical example.","PeriodicalId":74944,"journal":{"name":"The ANZIAM journal","volume":"53 1","pages":"274 - 301"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73111822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
THE PARADOX OF ENRICHMENT, SPATIAL HETEROGENEITY, COMMUNITY EFFECTS AND THE PHENOMENON OF APPARENT DISAPPEARANCE IN THE MARINE BACTERIOPHAGE DYNAMICS 海洋噬菌体动态中的富集悖论、空间异质性、群落效应和明显消失现象
The ANZIAM journal Pub Date : 2020-06-22 DOI: 10.1017/S1446181120000085
A. Korobeinikov, E. Shchepakina, V. Sobolev
{"title":"THE PARADOX OF ENRICHMENT, SPATIAL HETEROGENEITY, COMMUNITY EFFECTS AND THE PHENOMENON OF APPARENT DISAPPEARANCE IN THE MARINE BACTERIOPHAGE DYNAMICS","authors":"A. Korobeinikov, E. Shchepakina, V. Sobolev","doi":"10.1017/S1446181120000085","DOIUrl":"https://doi.org/10.1017/S1446181120000085","url":null,"abstract":"Abstract In aquatic microbial systems, high-magnitude variations in abundance, such as sudden blooms alternating with comparatively long periods of very low abundance (“apparent disappearance”), are relatively common. We suggest that in order for this to occur, such variations in abundance in microbial systems and, in particular, the apparent disappearance of species do not require seasonal or periodic forcing of any kind or external factors of any other nature. Instead, such variations can be caused by internal factors and, in particular, by bacteria–phage interaction. Specifically, we suggest that the variations in abundance and the apparent disappearance phenomenon can be a result of phage infection and the lysis of infected bacteria. To illustrate this idea, we consider a reasonably simple mathematical model of bacteria–phage interaction based on the model suggested by Beretta and Kuang, which assumes neither periodic forcing nor action of other external factors. The model admits a loss of stability via Andronov–Hopf bifurcation and exhibits dynamics which explains the phenomenon. These properties of the model are especially distinctive for spatially nonhomogeneous biosystems as well as biosystems with some sort of cooperation or community effects.","PeriodicalId":74944,"journal":{"name":"The ANZIAM journal","volume":"20 1","pages":"453 - 468"},"PeriodicalIF":0.0,"publicationDate":"2020-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83315737","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
THE MAGNETIC FIELD ABOUT A THREE-DIMENSIONAL BLOCK NEODYMIUM MAGNET 磁场约为三维块钕磁铁
The ANZIAM journal Pub Date : 2020-06-22 DOI: 10.1017/S1446181120000097
G. Weir, George Chisholm, J. Leveneur
{"title":"THE MAGNETIC FIELD ABOUT A THREE-DIMENSIONAL BLOCK NEODYMIUM MAGNET","authors":"G. Weir, George Chisholm, J. Leveneur","doi":"10.1017/S1446181120000097","DOIUrl":"https://doi.org/10.1017/S1446181120000097","url":null,"abstract":"Abstract Neodymium magnets were independently discovered in 1984 by General Motors and Sumitomo. Today, they are the strongest type of permanent magnets commercially available. They are the most widely used industrial magnets with many applications, including in hard disk drives, cordless tools and magnetic fasteners. We use a vector potential approach, rather than the more usual magnetic potential approach, to derive the three-dimensional (3D) magnetic field for a neodymium magnet, assuming an idealized block geometry and uniform magnetization. For each field or observation point, the 3D solution involves 24 nondimensional quantities, arising from the eight vertex positions of the magnet and the three components of the magnetic field. The only unknown in the model is the value of magnetization, with all other model quantities defined in terms of field position and magnet location. The longitudinal magnetic field component in the direction of magnetization is bounded everywhere, but discontinuous across the magnet faces parallel to the magnetization direction. The transverse magnetic fields are logarithmically unbounded on approaching a vertex of the magnet.","PeriodicalId":74944,"journal":{"name":"The ANZIAM journal","volume":"5 1","pages":"386 - 405"},"PeriodicalIF":0.0,"publicationDate":"2020-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75166952","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
A NOTE ON THE AXISYMMETRIC DIFFUSION EQUATION 关于轴对称扩散方程的注解
The ANZIAM journal Pub Date : 2020-06-16 DOI: 10.1017/S1446181121000110
A. Patkowski
{"title":"A NOTE ON THE AXISYMMETRIC DIFFUSION EQUATION","authors":"A. Patkowski","doi":"10.1017/S1446181121000110","DOIUrl":"https://doi.org/10.1017/S1446181121000110","url":null,"abstract":"Abstract We consider the explicit solution to the axisymmetric diffusion equation. We recast the solution in the form of a Mellin inversion formula, and outline a method to compute a formula for \u0000$u(r,t)$\u0000 as a series using the Cauchy residue theorem. As a consequence, we are able to represent the solution to the axisymmetric diffusion equation as a rapidly converging series.","PeriodicalId":74944,"journal":{"name":"The ANZIAM journal","volume":"58 1","pages":"333 - 341"},"PeriodicalIF":0.0,"publicationDate":"2020-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77809480","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
THE ALTERNATIVE KIRCHHOFF APPROXIMATION IN ELASTODYNAMICS WITH APPLICATIONS IN ULTRASONIC NONDESTRUCTIVE TESTING 弹性动力学中的kirchhoff近似及其在超声无损检测中的应用
The ANZIAM journal Pub Date : 2020-04-23 DOI: 10.1017/S1446181120000036
L. Fradkin, A. K. Djakou, C. Prior, M. Darmon, S. Chatillon, P. Calmon
{"title":"THE ALTERNATIVE KIRCHHOFF APPROXIMATION IN ELASTODYNAMICS WITH APPLICATIONS IN ULTRASONIC NONDESTRUCTIVE TESTING","authors":"L. Fradkin, A. K. Djakou, C. Prior, M. Darmon, S. Chatillon, P. Calmon","doi":"10.1017/S1446181120000036","DOIUrl":"https://doi.org/10.1017/S1446181120000036","url":null,"abstract":"Abstract The Kirchhoff approximation is widely used to describe the scatter of elastodynamic waves. It simulates the scattered field as the convolution of the free-space Green’s tensor with the geometrical elastodynamics approximation to the total field on the scatterer surface and, therefore, cannot be used to describe nongeometrical phenomena, such as head waves. The aim of this paper is to demonstrate that an alternative approximation, the convolution of the far-field asymptotics of the Lamb’s Green’s tensor with incident surface tractions, has no such limitation. This is done by simulating the scatter of a critical Gaussian beam of transverse motions from an infinite plane. The results are of interest in ultrasonic nondestructive testing.","PeriodicalId":74944,"journal":{"name":"The ANZIAM journal","volume":"57 1","pages":"406 - 422"},"PeriodicalIF":0.0,"publicationDate":"2020-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86843184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
ONE-DIMENSIONAL CHAOTIC LAMINAR FLOW WITH COMPETITIVE EXOTHERMIC AND ENDOTHERMIC REACTIONS 具有竞争放热和吸热反应的一维混沌层流
The ANZIAM journal Pub Date : 2020-04-15 DOI: 10.1017/S144618112000005X
S. Watt, Zhejun Huang, H. Sidhu, A. McIntosh, J. Brindley
{"title":"ONE-DIMENSIONAL CHAOTIC LAMINAR FLOW WITH COMPETITIVE EXOTHERMIC AND ENDOTHERMIC REACTIONS","authors":"S. Watt, Zhejun Huang, H. Sidhu, A. McIntosh, J. Brindley","doi":"10.1017/S144618112000005X","DOIUrl":"https://doi.org/10.1017/S144618112000005X","url":null,"abstract":"Abstract We consider the numerical solution of competitive exothermic and endothermic reactions in the presence of a chaotic advection flow. The resulting behaviour is characterized by a strong dependence on the competitive reaction history. The burnt temperature is not immediately connected to simple enthalpy calculations, so there is a subtlety in the interplay between the major parameters, notably the Damköhler number, the ratio of the heats of exothermic and endothermic reactions, as well as the ratio of their respective activation energies. This paper seeks to explore the way these parameters affect the steady states of these reaction fronts and their stability.","PeriodicalId":74944,"journal":{"name":"The ANZIAM journal","volume":"111 1","pages":"423 - 445"},"PeriodicalIF":0.0,"publicationDate":"2020-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89188814","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
EVOLUTIONARY DYNAMICS IN DISCRETE TIME FOR THE PERTURBED POSITIVE DEFINITE REPLICATOR EQUATION 微扰正定复制方程的离散时间演化动力学
The ANZIAM journal Pub Date : 2020-04-01 DOI: 10.1017/S1446181120000140
A. Albrecht, Konstantin Avrachenkov, P. Howlett, Geetika Verma
{"title":"EVOLUTIONARY DYNAMICS IN DISCRETE TIME FOR THE PERTURBED POSITIVE DEFINITE REPLICATOR EQUATION","authors":"A. Albrecht, Konstantin Avrachenkov, P. Howlett, Geetika Verma","doi":"10.1017/S1446181120000140","DOIUrl":"https://doi.org/10.1017/S1446181120000140","url":null,"abstract":"Abstract The population dynamics for the replicator equation has been well studied in continuous time, but there is less work that explicitly considers the evolution in discrete time. The discrete-time dynamics can often be justified indirectly by establishing the relevant evolutionary dynamics for the corresponding continuous-time system, and then appealing to an appropriate approximation property. In this paper we study the discrete-time system directly, and establish basic stability results for the evolution of a population defined by a positive definite system matrix, where the population is disrupted by random perturbations to the genotype distribution either through migration or mutation, in each successive generation.","PeriodicalId":74944,"journal":{"name":"The ANZIAM journal","volume":"10 1","pages":"148 - 184"},"PeriodicalIF":0.0,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85990905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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