Judul: Evaluasi Sistem Saluran Drainase di Perumahan Pondok Safari Indah, Tangerang Selatan
Abstrak: Perumahan Pondok Safari Indah mengalami banjir beberapa tahun belakangan ini apabila curah hujan tinggi dan durasi hujan lama. Penelitian difokuskan pada lokasi banjir di Blok C dan Blok D Perumahan Pondok Safari Indah. Penelitian bertujuan untuk mengevaluasi kesesuaian saluran drainase dengan debit limpasan yang terjadi. Luas lokasi penelitian sebesar ±3,4 Ha. Data yang digunakan berupa dimensi saluran, elevasi saluran, data curah hujan harian maksimum, peta topografi dan peta tutupan lahan. Data yang diperoleh digunakan untuk pemodelan saluran drainase dengan menggunakan program EPA SWMM 5.2. Setelah dilakukan pengujian pada 4 metode distribusi, maka curah hujan rencana dianalisis dengan distribusi log Pearson III, dan diperoleh curah hujan rencana sebesar 102,58 mm untuk periode ulang 2 tahun. Jaringan saluran drainase yang ada terdiri atas 34 subcatchment (SC), 72 junction node (JN), 71 counduit (CN), dan 1 outfall node (OR). Debit aliran maksimum sebesar 0,157 m3/detik. Dari hasil simulasi kapasitas saluran drainase sesuai dengan debit limpasan tetapi ada 2 saluran yang tidak mampu menampung limpasan. Pada CN 10 dan 11 terjadi luapan karena terdapat sedimen masing-masing setinggi 0,18 m dan 0,15 m. Kapasitas saluran CN 10 sebesar 0,115 m3/detik sedangkan debit simulasi sebesar 0,117 m3/detik. Saluran drainase mampu menampung dan mengalirkan air dengan baik bila dilakukan pembersihan dan pengerukan sedimen pada saluran drainase secara berkala., Pondok Safari Indah Residence has experienced flooding in recent years while the rainfall was heavy and long. The research focused on flood locations in Block C and Block D of Pondok Safari Indah Residence. The study aimed to evaluate the suitability of drainage channels with runoff discharge. The surface of research area was ± 3,4 Ha. This research used data of channel dimension channel elevation, maximum daily rainfall, topographic maps and land cover maps. These data were used for modeling drainage channels using the EPA SWMM 5.2 program. After testing 4 distribution methods, the planned rainfall was analyzed with the log Pearson III distribution, and a planned rainfall of 102,58 mm was obtained for the 2-year rainfall return period. The existing drainage channels system consist of 34 subcatchment (SC), 72 junction nodes (JN), 71 counduit (CN), and 1 outfall node (OR). The maximum flow discharge is 0,157 m3/sec. From the simulation results, the capacity of the drainage channel is in accordance with the runoff discharge, but there are 2 channels that are not able to accommodate runoff. CN 10 and 11 overflowed because there was sediment as high as 0,18 m and 0,15 m respectively. The CN 10 channel capacity was 0,115 m3/sec while the simulated discharge was 0,117 m3/sec. The drainage channel were able to accommodate and drain water properly, if the drainage channels were cleaned and the sediments were dredged periodically.
Keyword: EPA SWMM, flooding, precipitation, sediment

Judul: Application of EPA SWMM 5.2 on Drainage  Channel Evaluation in Harapan Indah Complex Medan Satria District Bekasi City
Abstrak: Kasus banjir berulang setiap musim hujan di Indonesia. Kota Bekasi, khususnya Komplek Harapan Indah RW 20 hampir setiap tahun mengalami banjir dengan genangan setinggi 60 cm menjadi wilayah prioritas penanganan banjir. Penting untuk menilai kapasitas saluran drainase dan kesesuaiannya dengan volume limpasan air menggunakan model EPA SWMM 5.2 yang efektif menganalisis masalah limpasan di perkotaan. Penelitian ini bertujuan mengevaluasi kesesuaian saluran drainase dan memperbaiki saluran yang meluap. Penelitian ini terdapat luas wilayah ± 6,81 ha, menggunakan data dimensi saluran, curah hujan harian maksimum, dan peta kontur. Metode distribusi yang sesuai yaitu Log Pearson III dengan periode ulang 5 tahun, menghasilkan intensitas curah hujan rencana 267,88 mm. Pemodelan mencakup 20 subcatchment (SUB), 70 conduit (con), 48 junction (j), dan 2 outfall (Out). Puncak hujan terjadi pada jam ke-6 dengan intensitas sebesar 25,93 mm. Debit limpasan tertinggi pada Sub5 dengan nilai 0,07 m3/det. Terdapat luapan pada saluran drainase yaitu Con23, Con34, Con37, Con40, Con43, dan Con46 dikarenakan terdapat sedimentasi. Setelah dilakukan perbaikan menunjukan saluran yang meluap kini mampu menampung debit air yang masuk., The problem of flooding recurs every rainy season in Indonesia. Bekasi City, especially the Harapan Indah RW 20 Complex, experiences flooding almost every year with inundation as high as 60 cm, making it a priority area for flood management. It is important to assess the capacity of drainage channels and their suitability to the volume of water runoff using the EPA SWMM 5.2 model which effectively analyzes runoff problems in urban areas. This study aims to evaluate the suitability of drainage channels and repair overflowing channels. This study has an area of ± 6.81 ha, using data on channel dimensions, maximum daily rainfall, and contour maps. The appropriate distribution method is Log Pearson III with a return period of 5 years, resulting in a planned rainfall intensity of 267,88 mm. Network modeling includes 20 subcatchments (SUB), 70 conduits (con), 48 junctions (j), and 2 outfalls (Out). The peak rainfall occurred at the 6th hour with an intensity of 25,93 mm. The highest runoff discharge is in Sub5 with a value of 0.07 m3/det. There are overflows in the drainage channels, namely Con23, Con34, Con37, Con40, Con43, and Con46 due to sedimentation. After the improvement, it shows that the overflowing channel is now able to accommodate the incoming water discharge.
Keyword: drainage, flood, rainfall, EPA SWMM 5.2, GPM satellite

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
Keyword: