Judul: Rancangan Bangunan Hidrolika Pemanfaatan Air Limpasan di Perumahan Bogor Nirwana Residence, Kota Bogor, Jawa Barat
Abstrak: The area of Bogor Nirwana Residence (BNR) is located on the southrern part of Bogor. However to maintain the environmental sustainability, it is needed to reuse runoff at BNR. The purpose of this research were to identify water quality of runoff, to design water reuse system and its hydraulic structure. The research was consisted of three stages, namely the identification of runoff water quality, analyzing water reuse system and designing the hydraulic structure. Some methods were used include a survey, grab sampling, and weir method. This research was held in BNR Residence from April to September 2013. The Outlet were chosen is located on Panorama Cluster with maximum runoff are 2.97 m3/sec. The result of discharge measured was 0.414 m3/det with maximum rainfall intensity by 7.2 mm/hour. Based on PP No.82 Tahun 2001, the runoff quality is in 3d class with valued by parameter chosed on TSS; 112 mg/l, BOD; 3.7 mg/l, COD; 14.23 mg/l, PH; 7.06, and Total Coliform; 23 MPN/100 ml. Water reuse system planning consisted of presedimentation tank, sedimentation tank, and reservoir. The maximum capacity of reservoir was 1006.16 m3 with water level as high as 570 cm. Other components of each structures must have the intake, inlet, outlet, weir and flushing channel. The main material for hydraulic structures was used concrete with high water resistence K250. The results of water treatment can be used for irrigation, waterpark activity, and to cover some of domestic demands.
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Judul: Perencanaan Sumur Resapan di Kawasan Pemukiman Perkotaan
Abstrak: Pertumbuhan penduduk yang pesat di Kota Bogor menyebabkan tata guna lahan banyak yang berubah menjadi lahan terbangun, sehingga meningkatkan limpasan dan mengurangi pengisian air tanah. Penelitian ini bertujuan merencanakan sumur resapan berbasis daya dukung sumber daya air di kawasan pemukiman daerah perkotaan. Telah dapat dilakukan penapisan lokasi prioritas sumur resapan berdasarkan kriteria topografi, tutupan lahan, dan aliran sungai. Lokasi prioritas tersebut yaitu di Kecamatan Bogor Selatan dengan DTA Cikaret, Cipakancilan, Cipinang Gading, dan Cisadane. Status DDL-air keempat DTA termasuk kategori “terlampaui” (overshoot). Hasil analisis neraca air menunjukkan surplus neraca air sebesar 1.272,3 mm/tahun dengan persentase limpasan yang relatif besar yaitu 75,7%-95%. Debit limpasan maksimum berkisar antara 31,3 m3/detik s/d 163,7 m3/detik. Telah dapat didesain sumur resapan individu dengan tiga tipe menurut luas atapnya, dengan kedalaman yang seragam 3 m, dan jari - jari 0,4 m-0,6 m. Dengan menggunakan skenario luas atap per pemukiman 10%-40% efektivitas sumur resapan individu diperkirakan berkisar antara 5,4%-39,9%. Total sumur yang diperlukan untuk empat DTA sejumlah 1.450 unit-43.073 unit. Sumur resapan komunal direncanakan terintegrasi dengan saluran drainase jalan lokal, kolektor, dan arteri. Perlu dilakukan penelitian lebih lanjut untuk mengkaji kelayakan dan akseptabilitas masyarakat terhadap pembangunan sumur resapan., The rapid growth in Bogor City has caused a lot of land use to be turned into built-up land, thereby increasing runoff and reducing groundwater recharge. This study aims to plan infiltration wells based on the carrying capacity of water resources (DDL-water) in urban residential areas. It have been done to filter the priority location of infiltration wells based on topography, land cover, and river flow criteria. The priority location are in South Bogor District with Cikaret, Cipakancilan, Cipinang Gading, and Cisadane catchment areas. The DDL-water status of the four catchment areas is in the “overshoot” category. Water balance analysis show an air balance surplus of 1.272,3 mm/year with a relatively large proportion of runoff, which is 75,7%-95%. The maximum runoff discharge ranges from 31,3 m3/s to 163,7 m3/s. It have been done to design individual infiltration wells with three types according to the roof area, with a uniform depth of 3 m, and a radius of 0,4 m-0,6 m. By using the scenario of roof area per settlement 10%-40%, the effectiveness of individual infiltration wells ranges from 5,4%-39,9%. The total wells required for the four catchment areas are 1.450 units-43.073 units. Communal infiltration wells are planned to be integrated with local, collectors, and arteries street drainage channels. Further study is needed to asses the feasibility and acceptability from society of the infiltration well development.
Keyword: DTA, limpasan, sumur resapan, Catchment areas, infiltration well, runoff

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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