Judul: Design of New Rice Field Road Drainage Channel for IPB Dramaga Campus Area
Abstrak: Drainase merupakan komponen penting dalam infrastruktur perkotaan yang berfungsi untuk menanggulangi permasalahan banjir dan genangan air. Namun Saluran drainase di jalan sawah baru sering terjadi banjir dikarenakan limpasan yang tidak tertampung oleh saluran. Penelitian ini memiliki tujuan yaitu mengetahui kondisi saluran eksisting pada lokasi penelitian, menentukan kapasitas saluran yang sesuai dengan besarnya limpasan yang terjadi dan menghasilkan desain saluran yang sesuai pada lokasi penelitian. Penelitian dilaksanakan di jalan sawah baru wilayah kampus IPB Dramaga. Pengambilan data dan analisis data dimulai pada bulan Maret hingga April 2023. Adapun hasil penelitian yaitu terdapat 1 saluran drainase dengan total panjang saluran sebesar 526,65 m. Saluran ini memiliki penampang persegi dengan tipe saluran terbuka. Saluran memiliki dimensi yang beragam. Hasil pengamatan dan simulasi menunjukkan terdapat 2 titik tempat terjadinya luapan dan banjir yaitu pada titik JN2-JN3 dan JN8-JN9 dengan kapasitas debit tampungan pada titik tersebut masing-masing sebesar 0 dan 0,013 m3/dt. Dilakukan perbaikan saluran dengan cara merancang gorong-gorong pada titik JN3-JN4 dan pengerukan sedimen pada titik JN8-JN9. Setelah dilakukan simulasi saluran menggunakan EPA SWMM 5.2 dengan menggunakan dimensi setelah pengerukan dan rancangan rancangan gorong-gorong didapatkan bahwa tidak ditemukan titik genangan atau banjir sehingga disimpulkan bahwa rancangan dimensi ini layak digunakan., Drainage is an important component in urban infrastructure that serves to overcome flooding and waterlogging problems. However, drainage channels on new rice fields often flood due to runoff that is not accommodated by the channel. This study has the aim of knowing the condition of the existing channel at the research site, determining the channel capacity in accordance with the amount of runoff that occurs and producing an appropriate channel design at the research site. The research was carried out on a new rice field road in the IPB Dramaga campus area. Data collection and data analysis will begin in March to April 2023. The results of the study were that there was 1 drainage channel with a total channel length of 526.65 m. This channel has a square cross section with an open channel type. Channels have diverse dimensions. The results of observations and simulations show that there are 2 points where overflow and flooding occur, namely at points JN2-JN3 and JN8-JN9 with storage discharge capacities at these points of 0 and 0.013 m3 / s, respectively. Channel improvements were carried out by designing culverts at points JN3-JN4 and dredging sediments at points JN8-JN9. After simulating the channel using EPA SWMM 5.2 using dimensions after dredging and culvert design design, it was found that no puddle or flood points were found, so it was concluded that this dimensional design was feasible for use.
Keyword: Drainage, Channel, Puddle, Simulation

Judul: Perencanaan dan Perancangan Saluran Drainase Daerah Irigasi di Balai Besar Penelitian Tanaman Padi Subang, Jawa Barat.
Abstrak: Drainage is one of the technical actions to reduce excess water from rain water, seepage, or excess irrigation water on an area so it can function optimally. The purpose of this research are designing drainage channels, designing channels dimension, and modelling planned drainage channels. This research was conducted during months of February to May 2015 at BB Padi, Sukamandi, Subang. The stage of this research are depiction of topographic maps, determination the location of drainage channels, determination of runoff discharge design and drainage channel dimensions, planning sewers, evaluation the performance of drainage channel. Soil texture used i.e. sandy loam. The distance between the drainage channels were designed every 200 m in accordance with the draft consolidation using reference layout of rice fields in Japan. The direction of water flow leads to the North and South, with the main drainage, tertiary drainage, ii and Taman Burung Sukamandi as a downstream of the water flow. Rainfall distributions design with Gumbel method used for a 2 year period (76.25 mm). Stream runoff is planned in each plot. Channel drainage system construction with open channels are not resistant to erosion. The intersection between the channel and the JUT branch cause the need of culvert planning. The design of the channel dimensions made uniform in both the upper and lower channels to sewer plans Evaluation of channel plan performance assessment was done as a channel drain water runoff.
Keyword: drainage channel, Gumbel, land consolidation, rainfall

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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