مقایسهٔ روشها
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| معادلات دیفرانسیل تصادفی (SDEs)× | شبیهسازی مونت کارلو× | |
|---|---|---|
| حوزه≠ | شبیهسازی | تصمیمگیری |
| خانواده≠ | Process / pipeline | MCDM |
| سال پیدایش≠ | 1944 (theory); 1992 (numerical framework) | 1949 |
| پدیدآور≠ | Kiyosi Itô (Itô calculus, 1944); Peter Kloeden & Eckhard Platen (numerical methods, 1992) | Metropolis, N., Ulam, S. |
| نوع≠ | Continuous-time stochastic process model | Robustness wrapper — Monte Carlo uncertainty propagation |
| منبع بنیادین≠ | Øksendal, B. (2003). Stochastic Differential Equations: An Introduction with Applications (6th ed.). Springer. DOI ↗ | Metropolis, N., Ulam, S. (1949). The Monte Carlo method. Journal of the American Statistical Association DOI ↗ |
| نامهای دیگر≠ | SDE, Itô equations, Stokastik Diferansiyel Denklemler (SDE) | — |
| مرتبط≠ | 4 | 0 |
| خلاصه≠ | Stochastic differential equations (SDEs) are differential equation models that combine a deterministic drift term — governing the average tendency of a system — with a stochastic diffusion term driven by a Wiener process (Brownian motion). Pioneered through Itô calculus by Kiyosi Itô in 1944 and given a comprehensive numerical treatment by Kloeden and Platen in 1992, SDEs are the standard modelling language for continuous-time systems subject to random noise, including financial asset prices, population dynamics, and physical processes. | MONTE-CARLO-SIMULATION (Monte Carlo Simulation — Stochastic uncertainty propagation through MCDM model) is a ranking multi-criteria decision-making (MCDM) method introduced by Metropolis, N., Ulam, S. in 1949. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result. |
| ScholarGateمجموعهداده ↗ |
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