Judul: Inter basin management model for sustainable water supply (case study: to fulfill water supply for DKIJakarta )
Abstrak: Jakarta is capital of Indonesia and as a big city with the administrative status of a regency or province with 9.588.198 people in 2010 (BPS, July, 2010). Jakarta needs water 524.953.840 for domestic and non domestic 212.606.350 m3 and totally 737.560.145,20 m3. PAM Jaya production capacity in 2009 is about 509.431.934 m3/year, about 69,07% the total needs of DKI Jakarta. To fulfil the water, Jakarta needs water supply from the other provinces, 80% water supply for Jakarta are from Citarum (West Java) and Cisadane (Tangerang-Banten) and others. A research has been done within 13 months started from 2010 July until 2011 August. The research is aimed to identify the supply and demand of water and to structurize the role and relationship of stakeholders in the fulfilment the water supply inter basin. The methodology analysis were Interpretative Structure Modelling (ISM), Multy Dimensional Scalling (MDS) and System Dinamic. The goverment has a central role to fulfil the needs of water supply, fulfilment water needs to understand more about supply and demand of water. The problem was the flood had often occured. The sustainable of fulfillment water supply for DKI Jakarta has economy dimensional (69,17), social dimensional (56,52), dimensional of law and institution (68,24), dimensional of infrastructur and technology (61,45), but dimensional of ecology is not sustainable with the score (48,75). In the dynamic model is built, after a policy intervention program 3R, BKT, 13 rivers, desalination, reduction in leakage, PES and others, the need for clean water and adequate Jakarta in 2030 met with no water supply in the soil water uptake and shallow ground water. Jakarta water needs can be met by working together across the region with local government and local government Tangerang Banten Jabar in the utilization of water resources in the watershed that flows in the region with payments for environmental services or PES 50 billion per year.In order to achieve water security, Jakarta needs to build policy scenarios that lack of clean water to Jakarta in the future does not happen again. Both policy scenarios related to supply and demand management and water management technologies, among others, the construction of large dams which hold water from 13 rivers that flow into Jakarta. Building a pipeline project from Jatiluhur reservoir and increase flow of raw water sources other outside Jakarta to conduct inter-regional cooperation. In addition to the management of raw water in the watershed that is the method of normalization ultraviltrasi 13 coupled with the existing river / flowing in Jakarta. In 2031 the use of ground water in the capital should be discussed again with the stakeholders or the public through public consultation, needs to be rethought termination step permits the use of groundwater in the year 2031.
Keyword: Water supply, inter basin, sustainable management, supply demand, DKI Jakarta

Judul: Potensi Cadangan Airbumi dan Efisiensi Sumur Produksi di Wilayah DKI Jakarta
Abstrak: improvement of human needs for clean water in the fulfillment of basic needs, and the needs in various major sectors such as industry, offices, hotels and so on are now increasing. Water needs not only rely from Water Supply Company but also rely on the quantity of groundwater. This problem is very common in large cities one of Jakarta. It is known that the population of Jakarta which increased to reach 9.6 million in 2010 will increase the need for clean water is sourced from airbumi will be even greater. The purpose of this study to estimate reserves of groundwater in Jakarta area as well as analyzing the efficiency of production wells in Jakarta as a solution to meet the needs of the population to clean water by taking into account the sustainability of the resource of groundwater. Estimation potential reserves of groundwater analyzed based on geological logdata interpretation of well production in some areas in Jakarta. Total reserves of groundwater at various layers of the aquifer in eight production wells in Jakarta by assuming an area of 1 km2 transects on each well STK, STT, SBA, SPG, SSW, SSS, SSG, and the SSO in a row of 88.510 m3; 16.200 m3; 40.090 m3; 398.200 m3; 19.911 m3; 66.300 m3; 22.499,5 m3; 29.120 m3. Analysis of the efficiency of production wells in Jakarta area using recovery test method determines the values of skin effect on each well. It is known that seven of eight production wells are wells analyzed STK, STT, SBA, SSW, SSS, SSG, SSO has a negative value of skin effect while SPG well have a positive value of skin effect with a value of 0.19. Skin effect positive on the well stating that the pumping wells in good condition or the filter is not clogged wells.
Keyword: Bogor Agricultural University (IPB), recovery test, Theiss methods, Cooper-Jacob methods, drawdown test, aquifer

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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