Judul: Integration of Planning for Domestic Wastewater Distribution System and Surakarta City Rainwater Runoff
Abstrak: Sistem penyaluran air limbah domestik secara terpusat merupakan salah satu upaya Pemerintah Kota Surakarta untuk mereduksi pencemaran air di badan air. Namun, capaian pelayanan pengolahan air limbah sistem terpusat pada tahun 2020 sebesar 16,62% atau 17.322 (SR). Tujuan penelitian ini merencanakan ulang sistem penyaluran air limbah dengan mengintegrasikan air hujan menuju bangunan penggelontor dan evaluasi sistem penyaluran air limbah Kota Surakarta. Data penelitian berupa data sekunder yang diperoleh dari instansi terkait, studi pustaka, dan hasil penelitian sebelumnya. Kota Surakarta direncanakan sebanyak 528 blok terbagi menuju IPAL Mojosongo, IPAL Pucangsawit, dan IPAL Semanggi secara berturut-turut 171 blok, 169 blok, dan 188 blok. Nilai debit puncak di IPAL Mojosongo, Pucangsawit, dan Semanggi secara berturut turut 1268,95 L/detik, 864,82 L/detik, dan 1697,12 L/detik. Diameter pipa inlet IPAL Mojosongo, IPAL Pucangsawit, IPAL Semanggi berturut-turut sebesar 1.200 mm, 1.600 mm dan 1.600 mm. Perencanaan sistem drainse untuk memenuhui kebutuhan debit penggelontoran. Bangunan penggelontor sebanyak 134 bangunan. Evaluasi berdasarkan perencanaan terjadi perubahan diameter pipa dan perlu adanya penambahan unit pengolahan air limbah agar dapat memenuhi debit inlet, The domestic wastewater distribution system is one of the Surakarta City Government's efforts to reduce water pollution in water bodies. However, the achievement of wastewater treatment services in 2020 was 16.62%, or 17,322 (SR). The purpose of this study is to plan a wastewater system by integrating rainwater from flushing buildings and evaluating the wastewater distribution system of Surakarta City. Research data in the form of secondary data obtained from relevant agencies, literature studies, and the results of previous research. Surakarta is planned for 528 blocks divided into Mojosongo WWTP, Pucangsawit WWTP, and Semanggi WWTP, respectively, 171 blocks, 169 blocks, and 188 blocks. The peak discharge values at Mojosongo, Pucangsawit, and Semanggi WWTPs are 1268.95 L/sec, 864.82 L/sec, and 1697.12 L/sec, respectively. The inlet diameters of the Mojosongo WWTP, Pucangsawit WWTP, and Semanggi WWTP are 1,200 mm, 1,600 mm, and 1,600 mm, respectively. Planning a drainage system to meet the needs of flushing discharge. There are 134 flushing buildings. The evaluation is based on the planning that there is a change in the pipe diameter and it is necessary to add a wastewater treatment unit to meet the inlet discharge.
Keyword: Domestic wastewater, drainage, flushing, sawerage system

Judul: Perencanaan sistem penyaluran air limbah domestik Kota Bogor menggunakan air hujan untuk debit penggelontoran
Abstrak: Sewerage system is an important part of the urban infrastructure. The purpose of this study is to design a system configuration domestic sewerage and modify drainage systems for flushing discharge. This research use secondary data from relevant agencies, literature, and the results of previous study. Value of peak discharge (Qpeak) at inlet of WWTP 1 at the Bantarjati Village is 0.59 m3/sec with a diameter of 900 mm, while the Qpeak value at inlet the WWTP 2 at Mekarwangi Village is 1.42 m3/sec with a diameter of 1000 mm. The depth of excavation cultivated less than 6 m. Planned of Communal Septic Tank are 5 units in the Pakuan Mulyaharja, Ciluar, Balumbangjaya, and Kencana Village. Rainfall intensity calculation using Sherman Method. Micro drainage system is designed to supply discharge flushing. Flushing point as many as 53 points with range of flush discharge is 0.03 m3/sec. Drainage discharge range of 0.25 m3/sec. Shape of the channel using a rectangular channel with a width range of 0.43 m and 0.42 m high.
Keyword: Sherman Method, Gumbel Method, manhole, domestic wastewater

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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