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Mathematical and Computer Modelling, Volume 51
Volume 51, Numbers 1-2, January 2010
- Ying-Ming Wang, Ying Luo:

Integration of correlations with standard deviations for determining attribute weights in multiple attribute decision making. 1-12 - Tsu-Pang Hsieh, Chung-Yuan Dye

, Liang-Yuh Ouyang
:
Optimal lot size for an item with partial backlogging rate when demand is stimulated by inventory above a certain stock level. 13-32 - A. El-Sayed Ahmed, M. A. Bakhit:

Hadamard products and NK space. 33-43 - Malay Banerjee

:
Self-replication of spatial patterns in a ratio-dependent predator-prey model. 44-52 - Rachid Mansouri, Maamar Bettayeb, Saïd Djennoune:

Approximation of high order integer systems by fractional order reduced-parameters models. 53-62 - Zeqing Liu, Min Liu

, Shin Min Kang, Sunhong Lee:
Perturbed Mann iterative method with errors for a new system of generalized nonlinear variational-like inclusions. 63-71 - Carlo Bianca

:
On the modelling of space dynamics in the kinetic theory for active particles. 72-83 - Xingong Zhang, Guangle Yan:

Machine scheduling problems with a general learning effect. 84-90 - Michele Sciacca:

Non-equilibrium thermodynamics analysis of rotating counterflow superfluid turbulence. 91-99 - Snezhana G. Hristova

:
Integral stability in terms of two measures for impulsive functional differential equations. 100-108 - Aderemi Oluyinka Adewumi

, M. Montaz Ali
:
A multi-level genetic algorithm for a multi-stage space allocation problem. 109-126 - Dan Xia, Lingen Chen, Fengrui Sun:

Optimal performance of a generalized irreversible chemical engine with diffusive mass transfer law. 127-136
Volume 51, Numbers 3-4, February 2010
- T. E. Simos, G. Psihoyios, Zacharias A. Anastassi

:
Preface. 137 - Elisa Francomano

, C. Macaluso, Adele Tortorici, Elena Toscano:
Exploring parallel capabilities of an innovative numerical method for recovering image velocity vectors field. 138-143 - Dimitrios Ntalaperas

, K. Theodoropoulos, Athanasios K. Tsakalidis, Nikos Konofaos
:
A four base computational method for the implementation of a quantum computer using silicon devices: Circuit and simulation. 144-149 - L. Cherfi:

New results in the Lyapunov-type algorithm for algebraic MCV Riccati equations. 150-155 - Bjørn Kvamme, Tatyana Kuznetsova:

Investigation into stability and interfacial properties of CO2 hydrate-aqueous fluid system. 156-159 - Roumen Anguelov

, Jean M.-S. Lubuma
, Froduald Minani:
Total variation diminishing nonstandard finite difference schemes for conservation laws. 160-166 - Jaemin Ahn, Chung-Ki Cho, Sungkwon Kang:

An efficient numerical parameter estimation scheme for the space-dependent dispersion coefficient of a solute transport equation in porous media. 167-176 - Olivier Coulaud

, Pierre Fortin, Jean Roman:
High performance BLAS formulation of the adaptive Fast Multipole Method. 177-188 - Sandrine Lanquetin, Romain Raffin

, Marc Neveu:
Curvilinear constraints for free form deformations on subdivision surfaces. 189-199 - Elias Dimitriou

, Ierotheos Zacharias
:
Identifying microclimatic, hydrologic and land use impacts on a protected wetland area by using statistical models and GIS techniques. 200-205 - José M. Matías

, José Taboada, C. Ordóñez Galán
, Wenceslao González-Manteiga
:
Partially linear support vector machines applied to the prediction of mine slope movements. 206-215 - J. J. del Coz Díaz

, P. J. García Nieto, J. A. Vilán Vilán, J. L. Suárez Sierra:
Non-linear buckling analysis of a self-weighted metallic roof by FEM. 216-228 - Adam V. Adamopoulos

, Nicos G. Pavlidis
, Michael N. Vrahatis:
Evolving cellular automata rules for multiple-step-ahead prediction of complex binary sequences. 229-238 - Michael N. Vrahatis, Georgios A. Tsirogiannis, Elena C. Laskari:

Novel orbit based symmetric cryptosystems. 239-246 - Jaemin Ahn, Sungkwon Kang, YongHoon Kwon:

A Laplace transform finite difference method for the Black-Scholes equation. 247-255 - José M. Matías

, Manuel Febrero-Bande
, Wenceslao González-Manteiga
, Juan Carlos Reboredo
:
Boosting GARCH and neural networks for the prediction of heteroskedastic time series. 256-271 - Marcin Kaminski

:
Generalized stochastic perturbation technique in engineering computations. 272-285 - M. E. Theocharis, C. D. Tzimopoulos, M. A. Sakellariou-Makrantonaki, S. I. Yannopoulos, I. K. Meletiou:

Comparative calculation of irrigation networks using Labye's method, the linear programming method and a simplified nonlinear method. 286-299 - Isabel Dorta

, Coromoto León, Casiano Rodríguez
:
Performance analysis of Branch-and-Bound skeletons. 300-308 - Sei-ichiro Sakata, Fumihiro Ashida, Masaru Zako:

Comparative study on gradient and Hessian estimation using the Kriging method and neural network approximation. 309-319 - Yiming Li:

Monotone iterative method for numerical solution of nonlinear ODEs in MOSFET RF circuit simulation. 320-328
Volume 51, Numbers 5-6, March 2010
- Yali Yang, Jianhong Wu, Jianquan Li, Zhien Ma:

Global dynamics-convergence to equilibria-of epidemic patch models with immigration. 329-337 - Stan Lipovetsky:

Enhanced ridge regressions. 338-348 - Rabha M. El-Ashwah, M. K. Aouf:

Differential subordination and superordination for certain subclasses of p-valent functions. 349-360 - Chuanyi Luo, Xisheng Yu:

Analysis of MX/G/1 queue with p-entering discipline during adaptive multistage vacations. 361-368 - Karyn L. Sutton, H. T. Banks, Carlos Castillo-Chavez

:
Using inverse problem methods with surveillance data in pneumococcal vaccination. 369-388 - H. T. Banks, Shuhua Hu, W. Clayton Thompson

:
Electromagnetic interrogation and the Doppler shift using the method of mappings. 389-399 - Lucas Jódar

, P. Merello:
Solving an analytic dynamic Leontief model with time dependent capital matrix. 400-404 - Serkan Eryilmaz

:
Mixture representations for the reliability of consecutive-k systems. 405-412 - Aihong Lin, Yong Ren, Ningmao Xia:

On neutral impulsive stochastic integro-differential equations with infinite delays via fractional operators. 413-424 - Ibrahim Çanak

, Ümit Totur
, Mehmet Dik:
One-sided Tauberian conditions for (A, k) summability method. 425-430 - Jun Wang, Qiuyuan Wang, Jiguang Shao:

Fluctuations of stock price model by statistical physics systems. 431-440 - Nicola Bellomo, Abdelghani Bellouquid, Juanjo Nieto

, Juan Soler
:
Complexity and mathematical tools toward the modelling of multicellular growing systems. 441-451 - Beáta Krasznai, István Györi, Mihály Pituk:

The modified chain method for a class of delay differential equations arising in neural networks. 452-460 - Chitra Alavani, Roland Glowinski, Susana Gomez

, Benjamin Ivorra
, Pallavi Joshi, Angel Manuel Ramos
:
Modelling and simulation of a polluted water pumping process. 461-472 - Liliana R. Castro, Osvaldo E. Agamennoni, Marcela P. Álvarez:

From linear to nonlinear identification: One step at a time. 473-486 - Juhua Liang, Sanyi Tang:

Optimal dosage and economic threshold of multiple pesticide applications for pest control. 487-503 - Jianguo Tan

, Hongli Wang:
Convergence and stability of the split-step backward Euler method for linear stochastic delay integro-differential equations. 504-515 - Chakib Jerry, Nadia Raïssi

:
Can management measures ensure the biological and economical stabilizability of a fishing model? 516-526 - Jie Ding, Lili Han, Xiaoming Chen:

Time series AR modeling with missing observations based on the polynomial transformation. 527-536 - Akbar Mohebbi, Mehdi Dehghan

:
High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods. 537-549 - Sitian Qin, Xiaoping Xue:

Evolution inclusions with Clarke subdifferential type in Hilbert space. 550-561 - George A. Anastassiou:

Nabla discrete fractional calculus and nabla inequalities. 562-571 - Alberto d'Onofrio

, Francesca Gatti, Paola Cerrai, Luca Freschi:
Delay-induced oscillatory dynamics of tumour-immune system interaction. 572-591 - Zhen-Gang Xiao, H. M. Srivastava

, Zhi-Hua Zhang:
Further refinements of the Jensen inequalities based upon samples with repetitions. 592-600 - Basem A. Frasin

:
Convexity of integral operators of p-valent functions. 601-605 - Lianggen Hu:

Positive solutions to singular third-order three-point boundary value problems on time scales. 606-615 - V. Srivastava, K. N. Rai:

A multi-term fractional diffusion equation for oxygen delivery through a capillary to tissues. 616-624 - Jehad O. Alzabut

, Gani Tr. Stamov
, Emre Sermutlu:
On almost periodic solutions for an impulsive delay logarithmic population model. 625-631 - Emmett J. Lodree Jr., Christopher D. Geiger, Kandace N. Ballard:

Coordinating production and shipment decisions in a two-stage supply chain with time-sensitive demand. 632-648 - Mahmoud Paripour

, Esmail Babolian, Jamshid Saeidian
:
Analytic solutions to diffusion equations. 649-657 - Irena Rachunková, Jan Tomecek

:
Bubble-type solutions of nonlinear singular problems. 658-669 - Weijun Xu, Weidong Xu, Hongyi Li

, Weiguo Zhang:
A study of Greek letters of currency option under uncertainty environments. 670-681 - Masood Khan

, Asia Anjum, Corina Fetecau, Haitao Qi
:
Exact solutions for some oscillating motions of a fractional Burgers' fluid. 682-692 - Ruoning Xu, Xiaoyan Zhai:

Manufacturer's coordination mechanism for single-period supply chain problems with fuzzy demand. 693-699 - Snigdha Banerjee, Ashish Sharma

:
Optimal procurement and pricing policies for inventory models with price and time dependent seasonal demand. 700-714 - Yan Wang:

Antiperiodic solutions for dissipative evolution equations. 715-721 - Hamed Yarmand, Kourosh Eshghi

:
Sensitivity analysis of Matching Pennies game. 722-735 - Mohamed A. W. Mahmoud

, M. E. Moshref:
On a two-unit cold standby system considering hardware, human error failures and preventive maintenance. 736-745 - Fenghong Lu, Jibin Li:

Integrals of motion of the reduced three-wave interaction system. 746-755 - Bruno Bieth, Liang Hong, Jyotirmoy Sarkar:

A standby system with two repair persons under arbitrary life- and repair times. 756-767 - Alain Brillard

, Mustapha El Jarroudi, M. El Merzguioui:
Asymptotic analysis of pollution filtration through thin random fissures between two porous media. 768-790 - Chien-Chang Chou:

Application of FMCDM model to selecting the hub location in the marine transportation: A case study in southeastern Asia. 791-801 - Ming-Feng Yang:

Supply chain integrated inventory model with present value and dependent crashing cost is polynomial. 802-809 - Yongzhen Pei, Xuehui Ji, Changguo Li:

Pest regulation by means of continuous and impulsive nonlinear controls. 810-822 - Xiang Lv, Ping Yan, Shiping Lu:

Existence and global attractivity of positive periodic solutions of competitor-competitor-mutualist Lotka-Volterra systems with deviating arguments. 823-832 - Ivana Bochicchio

, E. Vuk:
Buckling and longterm dynamics of a nonlinear model for the extensible beam. 833-846 - Wen-Hung Kuo, Dar-Li Yang

:
Erratum to: "Machine scheduling with a general learning effect" [Math. Comput. Modelling 51(1-2) (2010) 84-90]. 847-849 - Qi Wang, Binxiang Dai, Yuming Chen:

Erratum to: "Multiple periodic solutions of an impulsive predator-prey model with Holling-type IV functional response" [Math. Comput. Modelling 49 (2009) 1829-1836]. 850-851 - Min Xiao, Jinde Cao:

Corrigendum to: "Hopf bifurcation and non-hyperbolic equilibrium in a ratio-dependent predator-prey model with linear harvesting rate: Analysis and computation" [Math. Comput. Modelling 50 (2009) 360-379]. 852-853
Volume 51, Numbers 7-8, April 2010
- Yiming Li, Pavel Dyshlovenko

, Tatsuya Ezaki, Tor A. Fjeldly, Hans Kosina, Todd McKenzie, Mincheol Shin, Laurence Tianruo Yang, Shao-Ming Yu:
Preface. 855-856 - Mutlu Avci

, Serhan Yamaçli:
Neural network reinforced point defect concentration estimation model for Czochralski-grown silicon crystals. 857-862 - Shigeyasu Uno, Junichi Hattori

, Kazuo Nakazato, Nobuya Mori:
Form factor increase and its physical origins in electron-modulated acoustic phonon interaction in a free-standing semiconductor plate. 863-872 - Francisco Manuel Gómez-Campos, Salvador Rodríguez-Bolívar

, Juan Enrique Carceller:
Computational improvement of the normalized plane-wave method and its applications in quantum dot studies. 873-879 - Junichi Hattori

, Shigeyasu Uno, Nobuya Mori, Kazuo Nakazato:
Universality in electron-modulated-acoustic-phonon interactions in a free-standing semiconductor nanowire. 880-887 - Hideki Minari, Nobuya Mori:

A computationally cost-effective interleaving method for atomistic non-equilibrium Green's function simulation. 888-892 - Hedley C. Morris, Henok Abebe:

A compact quantum surface potential model for a MOSFET device. 893-900 - Udit Monga, H. Børli, Tor A. Fjeldly:

Compact subthreshold current and capacitance modeling of short-channel double-gate MOSFETs. 901-907 - Mutlu Avci

, Serhan Yamaçli:
An improved Elmore delay model for VLSI interconnects. 908-914 - Giuseppe Alì

:
PDAE models of integrated circuits. 915-926 - Ying-Chieh Chen, Yiming Li:

Temperature-aware floorplanning via geometric programming. 927-934 - Franck Assous, Eric Sonnendrücker:

Joly-Mercier boundary condition for the finite element solution of 3D Maxwell equations. 935-943 - Yiming Li:

Simulation-based evolutionary method in antenna design optimization. 944-955 - Chia-Chi Chu

, Hung-Chi Tsai, Ming-Hong Lai:
Structure preserving model-order reductions of MIMO second-order systems using Arnoldi methods. 956-973 - Jigang Wu, Thambipillai Srikanthan, Ting Lei:

Efficient heuristic algorithms for path-based hardware/software partitioning. 974-984 - Chong Teng, Naixue Xiong, Yanxiang He, Laurence Tianruo Yang, Dexi Liu:

A behavioural mode research on user-focus summarization. 985-994 - Jun-Cheol Jeon:

Non-linear and non-group cellular automata chaining technique for cryptographic applications. 995-999 - Shih-Ching Lo, Chia Hung Hsu:

Cellular automata simulation for mixed manual and automated control traffic. 1000-1007
Volume 51, Numbers 9-10, May 2010
- Basak Karpuz, Özkan Öcalan, Mustafa Kemal Yildiz:

Corrigendum to "Oscillation of a class of difference equations of second order" [Math. Comput. Modelling 49 (2009) 912-917]. 1009-1010
- Emmanuel Grenier, Didier Bresch

, Marie-Aimée Dronne, Marc Hommel, Jean-Pierre Boissel:
A phenomenological model of the growth of the necrotic area in ischemic stroke. 1011-1025 - Zijuan Wen, Chengkui Zhong:

Non-constant positive steady states for the HP food chain system with cross-diffusions. 1026-1036 - Jie Pan, Xinzhi Liu, Shouming Zhong:

Stability criteria for impulsive reaction-diffusion Cohen-Grossberg neural networks with time-varying delays. 1037-1050 - Zhuangyi Liu, Steven A. Trogdon:

Surface heating and three-dimensional motion of a thermoelastic beam. 1051-1063 - Pan-Ping Liu:

An analysis of a predator-prey model with both diffusion and migration. 1064-1070 - Jesus R. Artalejo:

Accessible bibliography on retrial queues: Progress in 2000-2009. 1071-1081 - Maria José Doménech-Benlloch, José Manuel Giménez-Guzmán, Vicent Pla

, Jorge Martínez-Bauset, Vicente Casares Giner
:
On the efficient solution of a multiserver system with two reattempt orbits. 1082-1096 - Vukman Covic, Miroslav Veskovic

, Aleksandar Obradovic
:
On the instability of equilibrium of nonholonomic systems with nonhomogeneous constraints. 1097-1106 - A. M. Sarhan, Naglaa M. El-Shazly, Enas M. Shehata

:
On the existence of extremal positive definite solutions of the nonlinear matrix equation Xr + Σmi=1A*iXδiAi = I. 1107-1117 - Mehdi Dehghan

, Masoud Hajarian
:
An efficient algorithm for solving general coupled matrix equations and its application. 1118-1134 - Chuanxi Zhu, Jiandong Yin:

Calculations of a random fixed point index of a random semi-closed 1-set-contractive operator. 1135-1139 - Zoran S. Nikolic

, Masahiro Yoshimura:
Numerical simulation of pore evolution during liquid-phase sintering. 1140-1145 - Zoran S. Nikolic

:
Numerical simulation of gravity induced skeletal settling during liquid-phase sintering. 1146-1153 - Cristinel Mortici

:
The proof of Muqattash-Yahdi conjecture. 1154-1159 - Antonio Hernando

, Eugenio Roanes-Lozano
, Alberto García-Álvarez:
An accelerated-time microscopic simulation of a dedicated freight double-track railway line. 1160-1169 - Raed Jafar

, Isam Shahrour
, Ilan Juran:
Application of Artificial Neural Networks (ANN) to model the failure of urban water mains. 1170-1180 - Zaid M. Odibat

:
A study on the convergence of variational iteration method. 1181-1192 - Petr Stehlík

:
Maximum principles for elliptic dynamic equations. 1193-1201 - Jeffrey G. Marchetta, Amanda P. Winter:

Simulation of magnetic positive positioning for space based fluid management systems. 1202-1212 - Heqiang Han, Li Xie, Feng Ding, Xinggao Liu:

Hierarchical least-squares based iterative identification for multivariable systems with moving average noises. 1213-1220 - Da-Xue Chen:

Oscillation of second-order Emden-Fowler neutral delay dynamic equations on time scales. 1221-1229 - J. Baric, Anita Matkovic

, Josip Pecaric
:
A variant of the Jensen-Mercer operator inequality for superquadratic functions. 1230-1239 - Ali Abbasi Molai

:
Fuzzy linear objective function optimization with fuzzy-valued max-product fuzzy relation inequality constraints. 1240-1250 - Yuan-Ming Wang:

On 2nth-order nonlinear multi-point boundary value problems. 1251-1259 - Minghe Pei, Sung Kag Chang:

Monotone iterative technique and symmetric positive solutions for a fourth-order boundary value problem. 1260-1267 - C. D. Lai:

Generalized Erlang and mortality levelling off distributions. 1268-1276 - Magdy A. El-Tawil, Noha A. Al-Mulla:

Using Homotopy WHEP technique for solving a stochastic nonlinear diffusion equation. 1277-1284
Volume 51, Numbers 11-12, June 2010
- Daoliang Li:

Mathematical and computer modeling in agriculture. 1285
- Yating Fan, Jianyu Yang, Dehai Zhu, Kongliang Wei:

A time-based integration method of spatio-temporal data at spatial database level. 1286-1292 - Yong Yang, Yong-Fu Liu, Ying-Li Cao:

Study on a method of design for rural power distribution lines based on 3D GIS technology. 1293-1298 - Qiang Fu

, Zilong Wang, Qiuxiang Jiang:
Delineating soil nutrient management zones based on fuzzy clustering optimized by PSO. 1299-1305 - Dongwei Gui

, Jiaqiang Lei, Fanjiang Zeng, Guijin Mu, Juntao Zhu, Hui Wang, Qiang Zhang:
Characterizing variations in soil particle size distribution in oasis farmlands - A case study of the Cele Oasis. 1306-1311 - Jie Zheng, Guang-yong Li, Zhen-zhong Han, Guo-xia Meng:

Hydrological cycle simulation of an irrigation district based on a SWAT model. 1312-1318 - Simin Cai, Rongqun Zhang, Liming Liu

, De Zhou:
A method of salt-affected soil information extraction based on a support vector machine with texture features. 1319-1325 - Lingxian Zhang, Daoliang Li, Xue Liu, Zetian Fu:

Multi-criteria decision support for China agricultural domestic support based on CGE model. 1326-1331 - Jianyuan Li, Jiaogen Zhou

, Wenjiang Huang, Jingcheng Zhang, Xiaodong Yang:
Grouping objects in multi-band images using an improved eigenvector-based algorithm. 1332-1338 - Guang Cen, Yuxiao Dong, Wanlin Gao, Lina Yu, Simon See, Qing Wang, Ying Yang, Hongbiao Jiang:

A implementation of an automatic examination paper generation system. 1339-1342 - Yating Fan, Jianyu Yang, Chao Zhang, Dehai Zhu:

A event-based change detection method of cadastral database incremental updating. 1343-1350 - Yong He

, K. L. Hu, Y. F. Huang, B. G. Li, D. L. Chen:
Analysis of the anisotropic spatial variability and three-dimensional computer simulation of agricultural soil bulk density in an alluvial plain of north China. 1351-1356 - Xia Hu, Limin Zheng, Hong Zhu, Ping Wu, Wenhua Ming, Zheng Song, Huiyuan Guo, Fazheng Ren:

A method for extracting the internal structure of biomedical images based on SRG and texture gradient. 1357-1362 - Xianyue Li, Peiling Yang, Shumei Ren, Liang Ren, Pingfeng Li, Jun Du:

Modelling of the canopy conductance of potted cherry trees based on an artificial neural network. 1363-1367 - Xianyue Li, Peiling Yang, Shumei Ren, Yunkai Li

, Tingwu Xu, Liang Ren, Caiyuan Wang:
An improved canopy transpiration model and parameter uncertainty analysis by Bayesian approach. 1368-1374 - Helong Yu, Dayou Liu, Guifen Chen, Baocheng Wan, Sheng-Sheng Wang, Bo Yang:

A neural network ensemble method for precision fertilization modeling. 1375-1382 - Boxiang Xiao, Xinyu Guo, Xiaohong Du, Weiliang Wen, Xue Wang, Shenglian Lu:

An interactive digital design system for corn modeling. 1383-1389 - Xuechun Wang, Jun Li:

Evaluation of crop yield and soil water estimates using the EPIC model for the Loess Plateau of China. 1390-1397 - Ping Han, Pengxin Wang, Shuyu Zhang, Dehai Zhu:

Drought forecasting based on the remote sensing data using ARIMA models. 1398-1403 - Wanlin Gao, Bangjie Yang, Kemin Yang, Lina Yu, Jianqin Wang, Qing Wang, Jianing Zhao:

Research into a resource directory service based on Grid RLS. 1404-1407 - Yiqiang Guo, Yanbin Wu, Zhengshan Ju, Jun Wang, Luyan Zhao:

Remote sensing image classification by the Chaos Genetic Algorithm in monitoring land use changes. 1408-1416 - Qi Huang, Baojun Li, Mingzeng Liu, Jingru Bao, Chunning Jin, Xiangkui Zhang, Ping Hu:

Feature-preserved morphing method for panel design. 1417-1420 - Hongbiao Jiang, Wanlin Gao, Manwei Wang, Simon See, Ying Yang, Wei Liu, Jin Wang:

Research of an architecture of operating system kernel based on modularity concept. 1421-1427 - Lingxian Zhang, Haojie Wen, Daoliang Li, Zetian Fu, Shuang Cui:

E-learning adoption intention and its key influence factors based on innovation adoption theory. 1428-1432 - Ronghua Ji, Daoliang Li, Lairong Chen, Wenzhu Yang:

Classification and identification of foreign fibers in cotton on the basis of a support vector machine. 1433-1437 - Yande Liu

, Xudong Sun, Jianmin Zhou, Hailiang Zhang, Chao Yang:
Linear and nonlinear multivariate regressions for determination sugar content of intact Gannan navel orange by Vis-NIR diffuse reflectance spectroscopy. 1438-1443 - Baoguo Wu, Yan Qi, Chi Ma, Hongquan Zhang:

Harvest evaluation model and system of fast-growing and high-yield poplar plantation. 1444-1452 - Chunqiao Mi, Jianyu Yang, Shaoming Li, Xiaodong Zhang, Dehai Zhu:

Prediction of accumulated temperature in vegetation period using artificial neural network. 1453-1460

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