Keywords
sonli usul
xatolik
barqarorlik
adaptiv qadam
How to Cite
Abstract
Ushbu tezisda matematik modellarni sonli yechishda aniqlik, barqarorlik va hisoblash resurslaridan oqilona foydalanish o‘rtasidagi bog‘liqlik tahlil qilinadi. Diskretlashtirish xatoligi, yaxlitlash xatoligi, adaptiv qadam tanlash va iteratsion usullarni oldindan shartlash orqali hisoblash samaradorligini oshirish yo‘llari yoritilgan. Oddiy differensial tenglama misolida hisoblash xarajatlarini kamaytirish har doim ham qadamni yiriklashtirish bilan bog‘liq emasligi asoslanadi. Ish adabiyotlar tahliliga tayangan uslubiy tezis hisoblanadi
References
1. Hairer, E., Nørsett, S. P., & Wanner, G. (1993). Solving ordinary differential equations I: Nonstiff problems (2nd ed.). Springer. https://doi.org/10.1007/978-3-540-78862-1
2. Higham, N. J. (2002). Accuracy and stability of numerical algorithms (2nd ed.). Society for Industrial and Applied Mathematics. https://doi.org/10.1137/1.9780898718027
3. Saad, Y. (2003). Iterative methods for sparse linear systems (2nd ed.). Society for Industrial and Applied Mathematics. https://doi.org/10.1137/1.9780898718003
