Judul: Analysis of Drainage Capacity in the Bima Stadium Area, Cirebon City as a Flood Control Effort
Abstrak: Drainase merupakan salah satu infrastruktur perkotaan yang penting. Saluran drainase memegang peranan penting dalam mengendalikan limpasan yang terjadi pada suatu daerah saat hujan dalam waktu lama. Buruknya sistem drainase di suatu daerah, terutama perkotaan, dapat mengakibatkan terjadinya genangan yang dapat mempengaruhi kesehatan lingkungan. Penelitian ini dilakukan untuk mengetahui besarnya debit dan limpasan yang terjadi di kawasan Stadion Bima serta menganalisis kesesuaian kondisi eksisting saluran drainase dengan besarnya limpasan yang terjadi di kawasan Stadion Bima. Pengukuran debit dan limpasan dilakukan menggunakan aplikasi SWMM 5.1 dengan membutuhkan data curah hujan, peta tutupan lahan, dan peta kontur. Berdasarkan hasil simulasi, limpasan terbesar terjadi pada subcatchment SC18 dengan total limpasan sebesar 129,09 mm dengan rata-rata limpasan sebesar 100,75 mm. Selain itu berdasarkan simulasi terdapat satu saluran yang meluap yaitu saluran CN4. Perbaikan saluran CN4 dilakukan dengan mengubah dimensi saluran. Dimensi saluran awal 0,58 m x 0,66 m kemudian diubah menjadi 1 m x 0,66 m. Berdasarkan perbaikan yang dilakukan, diperlukan biaya sebesar Rp 29.409.000., Drainage is one of the most important urban infrastructure. Drainage channels play an important role in controlling runoff that occurs in an area when it rains for a long time. Poor drainage system in an area, especially urban areas, can result in inundation which can affect environmental health. This research was conducted to find out the amount of flow and runoff that occurred in the Bima Stadium area and to analyze the suitability of the existing condition of the drainage channel with the amount of runoff that occurred in the Bima Stadium area. Measurements of flow and runoff are carried out using the SWMM 5.1 application by requiring data of rainfall, land cover maps, and contour maps. Based on the simulation results, the largest runoff occurred in the SC18 subcatchment with a total runoff of 129,09 mm with an average runoff of 100,75 mm. In addition, based on the simulation, there is one overflow channel, namely the CN4 channel. Improvements to the CN4 channel are carried out by changing the channel dimensions. The dimensions of the initial channel were 0.58 m x 0.66 m and then changed to 1 m x 0.66 m. Based on the repairs made, it costs Rp 29.409.000.
Keyword: Drainase, Limpasan, SWMM

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
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