The ANZIAM journal最新文献_第9页

ANZ VOLUME 62 ISSUE 4 COVER AND BACK MATTER 澳新银行62卷第4期封面和封底

The ANZIAM journal Pub Date : 2020-10-01 DOI: 10.1017/s1446181119000245

see Sirinanda, see Fradkin, see Ivanitskiy

{"title":"ANZ VOLUME 62 ISSUE 4 COVER AND BACK MATTER","authors":"see Sirinanda, see Fradkin, see Ivanitskiy","doi":"10.1017/s1446181119000245","DOIUrl":"https://doi.org/10.1017/s1446181119000245","url":null,"abstract":"ALBRECHT, A., AVRACHENKOV, K., HOWLETT, P. and VERMA, G.; Evolutionary dynamics in discrete time for the perturbed positive definite replicator equation 148 AVRACHENKOV, K.; see Albrecht, A. 148 BRAZIL, M.; see Sirinanda, K. G. 334 BRINDLEY, J.; see Watt, S. D. 423 CALMON, P.-F.; see Fradkin, L. J. 406 CHATILLON, S.; see Fradkin, L. J. 406 CHISHOLM, G.; see Weir, G. 386 CHIU, M. C.; Mean–variance equilibrium asset-liability management strategy with cointegrated assets 209 DARMON, M.; see Fradkin, L. J. 406 DJAKOU, A. K.; see Fradkin, L. J. 406 EJOV, V. V.; see Ivanitskiy, A. Y. 302 FRADKIN, L. J., DJAKOU, A. K., PRIOR, C., DARMON, M., CHATILLON, S. and CALMON, P.-F.; The alternative Kirchhoff approximation in elastodynamics with applications in ultrasonic nondestructive testing 406 GOSWAMI, V.; see Panda, G. 89 GROSSMAN, P. A.; see Sirinanda, K. G. 334 HARPER, J. F.; Asymptotics of a Gauss hypergeometric function with two large parameters: A new case 446 HOWELL, P. D., OCKENDON, H. and OCKENDON, J. R.; Draping woven sheets 355 HOWLETT, P.; see Albrecht, A. 148 HOWLETT, P. and TOROKHTI, A.; An optimal linear filter for estimation of random functions in Hilbert space 274 HUANG, Z.; see Watt, S. D. 423 IVANITSKIY, A. Y., EJOV, V. V. and VASILYEV, F. P.; Pointwise residual method for solving primal and dual ill-posed linear programming problems with approximate data 302 KOROBEINIKOV, A., SHCHEPAKINA, E. and SOBOLEV, V.; The paradox of enrichment, spatial heterogeneity, community effects and the phenomenon of apparent disappearance in the marine bacteriophage dynamics 453 LEVENEUR, J.; see Weir, G. 386 LI, H. and YANG, K.; Asymptotic behaviour of the stochastic Maki–Thompson model with a forgetting mechanism on open populations 185 LU, F. Q.; see Yan, J. L. 256 MARSLAND, S., MCLACHLAN, R. I. and TUFAIL, M. Y.; Conformal image registration based on constrained optimization 235","PeriodicalId":74944,"journal":{"name":"The ANZIAM journal","volume":"41 1","pages":"b1 - b5"},"PeriodicalIF":0.0,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85564395","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

EDITORIAL: SPECIAL ISSUE CELEBRATING THE ACHIEVEMENTS OF PROFESSOR G. C. WAKE 社论:特刊庆祝乔治·c·威克教授的成就

The ANZIAM journal Pub Date : 2020-10-01 DOI: 10.1017/s1446181121000067

M. Nelson, Rodney Weber

引用次数: 0

ESTIMATES FOR APPROXIMATE SOLUTIONS TO A FUNCTIONAL DIFFERENTIAL EQUATION MODEL OF CELL DIVISION 细胞分裂的泛函微分方程模型的近似解的估计

The ANZIAM journal Pub Date : 2020-10-01 DOI: 10.1017/S1446181121000055

Stephen Taylor, Xueshan Yang

{"title":"ESTIMATES FOR APPROXIMATE SOLUTIONS TO A FUNCTIONAL DIFFERENTIAL EQUATION MODEL OF CELL DIVISION","authors":"Stephen Taylor, Xueshan Yang","doi":"10.1017/S1446181121000055","DOIUrl":"https://doi.org/10.1017/S1446181121000055","url":null,"abstract":"Abstract The functional partial differential equation (FPDE) for cell division, $$ begin{align*} &frac{partial}{partial t}n(x,t) +frac{partial}{partial x}(g(x,t)n(x,t)) &quad = -(b(x,t)+mu(x,t))n(x,t)+b(alpha x,t)alpha n(alpha x,t)+b(beta x,t)beta n(beta x,t), end{align*} $$is not amenable to analytical solution techniques, despite being closely related to the first-order partial differential equation (PDE) $$ begin{align*} frac{partial}{partial t}n(x,t) +frac{partial}{partial x}(g(x,t)n(x,t)) = -(b(x,t)+mu(x,t))n(x,t)+F(x,t), end{align*} $$which, with known $F(x,t)$, can be solved by the method of characteristics. The difficulty is due to the advanced functional terms $n(alpha x,t)$ and $n(beta x,t)$, where $beta ge 2 ge alpha ge 1$, which arise because cells of size x are created when cells of size $alpha x$ and $beta x$ divide. The nonnegative function, $n(x,t)$, denotes the density of cells at time t with respect to cell size x. The functions $g(x,t)$, $b(x,t)$ and $mu (x,t)$ are, respectively, the growth rate, splitting rate and death rate of cells of size x. The total number of cells, $int _{0}^{infty }n(x,t),dx$, coincides with the $L^1$ norm of n. The goal of this paper is to find estimates in $L^1$ (and, with some restrictions, $L^p$ for $p>1$) for a sequence of approximate solutions to the FPDE that are generated by solving the first-order PDE. Our goal is to provide a framework for the analysis and computation of such FPDEs, and we give examples of such computations at the end of the paper.","PeriodicalId":74944,"journal":{"name":"The ANZIAM journal","volume":"5 1","pages":"469 - 488"},"PeriodicalIF":0.0,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77967609","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 4 COVER AND FRONT MATTER 澳新银行62卷第4期封面和封面

The ANZIAM journal Pub Date : 2020-10-01 DOI: 10.1017/s1446181119000233

引用次数: 0

DRAPING WOVEN SHEETS 悬垂梭织床单

The ANZIAM journal Pub Date : 2020-10-01 DOI: 10.1017/S144618112000019X

P. Howell, H. Ockendon, J. Ockendon

引用次数: 1

ON EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A PANTOGRAPH TYPE EQUATION 一类受电弓型方程解的存在唯一性

The ANZIAM journal Pub Date : 2020-10-01 DOI: 10.1017/S144618112100002X

Muhammad Mohsin, A. Zaidi

引用次数: 1