SADEWO, YUSUF (2018) PENDEKATAN METODE MONTE CARLO DALAM MENENTUKAN NILAI INTEGRAL. Undergraduate thesis, UNIMED.
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Abstract
Pendekatan dengan metode Monte Carlo menggunakan prinsip pembangkitan bilangan random untuk menguji sebuah fungsi. Penggunaan bilangan random sangat erat hubungannya dengan nilai error yang diperoleh. Penelitian ini bertujuan untuk meminimalisasi nilai error pada integrasi dengan menggunakan metode Monte Carlo. Integrasi awal metode Monte Carlo dengan 10.000 titik random memiliki rata-rata nilai error yang cukup besar yaitu 2,7500257326%, sehingga dilakukan tindak lanjut dengan menggunakan pias pada integrasi Monte Carlo. Integrasi Monte Carlo dengan 1.000 pias dengan titik random yang sama memiliki rata-rata nilai error yang cukup kecil yaitu 0,0033032046%, kemudian diikuti ratarata nilai error integrasi Romberg sebesar 0,9507408995% dan integrasi GaussLegendre sebesar 1,952429844×10−7%. Dari hasil penelitian dan perhitungan diperoleh bahwa penggunaan pias memiliki pengaruh yang cukup signifikan dalam meminimalisasi nilai error pada hasil integrasi dengan menggunakan metode Monte Carlo.
Item Type: | Thesis (Undergraduate) | ||||||
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Call Number: | SK-2019 MAT 051 | ||||||
Keywords: | Integral;Error;Monte Carlo | ||||||
Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > QA101 Elementary mathematics. Arithmetic |
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Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika | ||||||
Depositing User: | Mrs Elsya Fitri Utami | ||||||
Date Deposited: | 08 Apr 2019 14:49 | ||||||
URI: | http://digilib.unimed.ac.id/id/eprint/34131 |
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