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  1. ᠨᠢᠭᠡᠳᠦᠭᠡᠷ ᠪᠦᠯᠦᠭ ᠣᠷᠤᠱᠢᠯ
    1. 1. ᠲᠣᠭ᠎ᠠ ᠬᠡᠮᠵᠢᠭᠳᠡᠯ᠎ᠦᠨ ᠪᠣᠳᠤᠯᠭ᠎ᠠ ᠵᠢᠨ ᠠᠷᠭ᠎ᠠ ᠵᠢᠨ ᠰᠤᠳᠤᠯᠤᠭᠳᠠᠬᠤᠨ ᠪᠠ ᠠᠭᠤᠯᠭ᠎ᠠ
    2. 2. ᠠᠯᠳᠠᠪᠤᠷᠢ ᠵᠢᠨ ᠢᠷᠡᠯᠲᠡ ᠪᠠ ᠲᠥᠷᠦᠯ ᠵᠦᠢᠯ
    3. 3. ᠬᠠᠷᠢᠴᠠᠯᠠᠱᠢᠭᠦᠢ ᠠᠯᠳᠠᠪᠤᠷᠢ᠂ ᠬᠠᠷᠢᠴᠠᠩᠭᠤᠢ ᠠᠯᠳᠠᠪᠤᠷᠢ ᠪᠠ ᠠᠱᠢᠭᠲᠤ ᠼᠢᠹᠷ
    4. 4. ᠲᠣᠭ᠎ᠠ ᠬᠡᠮᠵᠢᠭᠳᠡᠯ᠎ᠦᠨ ᠪᠣᠳᠤᠯᠭ᠎ᠠ ᠳᠤᠮᠳᠠ ᠠᠩᠬᠠᠷᠬᠤ ᠬᠡᠳᠦᠨ ᠠᠰᠠᠭᠤᠳᠠᠯ
  2. ᠬᠣᠶᠠᠳᠤᠭᠠᠷ ᠪᠦᠯᠦᠭ ᠱᠤᠭᠤᠮᠤᠨ ᠲᠡᠭᠱᠢᠳᠭᠡᠯ᠎ᠦᠨ ᠪᠦᠯᠦᠭ᠎ᠢ ᠪᠤᠳᠤᠬᠤ ᠱᠢᠭᠤᠳ ᠠᠷᠭ᠎ᠠ
    1. 1.Gauss᠎ᠤᠨ ᠤᠰᠠᠳᠭᠠᠬᠤ ᠠᠷᠭ᠎ᠠ
    2. 2. ᠱᠢᠭᠤᠳ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ ᠵᠠᠳᠠᠯᠤᠯᠲᠠ ᠵᠢᠨ ᠠᠷᠭ᠎ᠠ
    3. 3. ᠸᠸᠺᠲ᠋ᠤᠷ ᠪᠠ ᠵᠢᠭᠰᠠᠭᠠᠯ᠎ᠤᠨ ᠨᠤᠷᠮ᠎ᠠ ᠲᠣᠭ᠎ᠠ
    4. 4. ᠱᠤᠭᠤᠮᠤᠨ ᠲᠡᠭᠱᠢᠳᠭᠡᠯ᠎ᠦᠨ ᠪᠦᠯᠦᠭ᠎ᠦᠨ ᠤᠤᠯ ᠱᠢᠨᠵᠢ ᠲᠥᠯᠦᠪ ᠪᠠ ᠠᠯᠳᠠᠪᠤᠷᠢ ᠵᠢᠨ ᠵᠠᠳᠠᠯᠤᠯᠲᠠ
  3. ᠭᠤᠷᠪᠠᠳᠤᠭᠠᠷ ᠪᠦᠯᠦᠭ ᠱᠤᠭᠤᠮᠤᠨ ᠲᠡᠭᠱᠢᠳᠭᠡᠯ᠎ᠦᠨ ᠪᠦᠯᠦᠭ᠎ᠦᠨ ᠳᠠᠪᠲᠠᠨ ᠣᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭ᠎ᠠ
    1. 1. Jacobi ᠳᠠᠪᠲᠠᠨ ᠣᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭ᠎ᠠ ᠪᠠ GaussSeidel ᠳᠠᠪᠲᠠᠨ ᠣᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭ᠎ᠠ
    2. 2. ᠳᠠᠪᠲᠠᠨ ᠣᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭ᠎ᠠ ᠵᠢᠨ ᠡᠩ᠎ᠦᠨ ᠬᠡᠯᠪᠡᠷᠢ ᠪᠠ ᠬᠤᠷᠠᠬᠤ ᠴᠢᠨᠠᠷ
    3. 3. Jacobi ᠳᠠᠪᠲᠠᠨ ᠣᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭ᠎ᠠ ᠪᠠ Gauss Seidel ᠳᠠᠪᠲᠠᠨ ᠣᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭ᠎ᠠ ᠵᠢᠨ ᠬᠤᠷᠠᠬᠤ ᠴᠢᠨᠠᠷ
    4. 4. ᠤᠳᠠᠭ᠎ᠠ ᠳᠠᠷᠠᠭᠠᠯᠠᠨ ᠬᠡᠳᠦ ᠰᠤᠯᠠᠷᠠᠬᠤ ᠳᠠᠪᠲᠠᠨ ᠣᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭ᠎ᠠ —— SOR ᠠᠷᠭ᠎ᠠ
  4. ᠳᠥᠷᠪᠡᠳᠦᠭᠡᠷ ᠪᠦᠯᠦᠭ ᠱᠤᠭᠤᠮᠤᠨ ᠪᠤᠰᠤ ᠲᠡᠭᠱᠢᠳᠭᠡᠯ (ᠪᠦᠯᠦᠭ)᠎ᠢ ᠪᠤᠳᠤᠬᠤ ᠳᠠᠪᠲᠠᠨ ᠣᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭ᠎ᠠ
    1. 1. ᠬᠣᠶᠠᠷᠯᠠᠬᠤ ᠠᠷᠭ᠎ᠠ
    2. 2. ᠲᠥᠬᠦᠮ ᠳᠠᠪᠲᠠᠨ ᠣᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭ᠎ᠠ
    3. 3. Newton ᠳᠠᠪᠲᠠᠨ ᠣᠷᠤᠯᠠᠭᠤᠯᠬᠤ ᠠᠷᠭ᠎ᠠ
  5. ᠲᠠᠪᠤᠳᠤᠭᠠᠷ ᠪᠦᠯᠦᠭ ᠵᠢᠭᠰᠠᠭᠠᠯ᠎ᠤᠨ ᠥᠪᠡᠷᠮᠢᠴᠡ ᠬᠡᠮᠵᠢᠭᠳᠡᠯ ᠪᠠ ᠥᠪᠡᠷᠮᠢᠴᠡ ᠸᠸᠺᠲ᠋ᠤᠷ᠎ᠤᠨ ᠪᠣᠳᠤᠯᠭ᠎ᠠ
    1. 1. ᠵᠡᠷᠭᠡᠲᠦ ᠵᠢᠨ ᠠᠷᠭ᠎ᠠ ᠪᠠ ᠤᠷᠪᠠᠭᠤ ᠵᠡᠷᠭᠡᠲᠦ ᠵᠢᠨ ᠠᠷᠭ᠎ᠠ
    2. 2. Jacobi ᠠᠷᠭ᠎ᠠ
  6. ᠵᠢᠷᠭᠤᠳᠤᠭᠠᠷ ᠪᠦᠯᠦᠭ ᠹᠦᠩᠺᠼ᠎ᠦᠨ ᠬᠠᠪᠴᠢᠭᠤᠯᠤᠯ
    1. 1. ᠣᠯᠠᠨᠭᠡᠱᠢᠭᠦᠨᠲᠦ ᠵᠢᠨ ᠬᠠᠪᠴᠢᠭᠤᠯᠤᠯ᠎ᠤᠨ ᠠᠰᠠᠭᠤᠳᠠᠯ
    2. 2. Iagrange ᠵᠢᠨ ᠬᠠᠪᠴᠢᠭᠤᠯᠤᠯ ᠣᠯᠠᠨᠭᠡᠱᠢᠭᠦᠨᠲᠦ
    3. 3. Newton᠎ᠤ ᠬᠠᠪᠴᠢᠭᠤᠯᠤᠯ ᠣᠯᠠᠨᠭᠡᠱᠢᠭᠦᠨᠲᠦ
    4. 4. ᠬᠡᠰᠡᠭᠵᠢᠯ ᠬᠠᠪᠴᠢᠭᠤᠯᠤᠯ ᠣᠯᠠᠨᠭᠡᠱᠢᠭᠦᠨᠲᠦ
    5. 5. ᠭᠤᠷᠪᠠᠳᠤᠭᠠᠷ ᠵᠡᠷᠭᠡ ᠵᠢᠨ ᠬᠡᠯᠪᠡᠷᠢᠲᠦ ᠬᠠᠪᠴᠢᠭᠤᠯᠤᠯ
  7. ᠳᠣᠯᠤᠳᠤᠭᠠᠷ ᠪᠦᠯᠦᠭ ᠲᠣᠭ᠎ᠠ ᠬᠡᠮᠵᠢᠭᠳᠡᠯ᠎ᠦᠨ ᠴᠣᠮᠬᠠᠷᠠᠯ
    1. 1. ᠬᠠᠪᠴᠢᠭᠤᠯᠤᠯ ᠬᠡᠯᠪᠡᠷᠢᠲᠦ ᠴᠣᠮᠬᠠᠷᠠᠯ᠎ᠤᠨ ᠲᠣᠮᠢᠶ᠎ᠠ
    2. 2. ᠴᠣᠮᠬᠠᠷᠠᠯ᠎ᠤᠨ ᠲᠣᠮᠢᠶ᠎ᠠ ᠵᠢᠨ ᠡᠩ᠎ᠦᠨ ᠬᠡᠯᠪᠡᠷᠢ ᠪᠠ ᠠᠯᠭᠧᠪᠷᠠ ᠵᠢᠨ ᠨᠠᠷᠢᠪᠴᠢ ᠵᠢᠨ ᠬᠡᠮᠵᠢᠶ᠎ᠡ
    3. 3. ᠬᠠᠮᠵᠢᠭᠤᠯᠤᠯ ᠴᠣᠮᠬᠠᠷᠠᠯ᠎ᠤᠨ ᠲᠣᠮᠢᠶ᠎ᠠ
    4. 4. ᠭᠠᠳᠠᠭᠱᠢ ᠮᠥᠷᠳᠡᠬᠦ ᠠᠷᠭ᠎ᠠ
    5. 5. Gauss ᠬᠡᠯᠪᠡᠷᠢᠲᠦ ᠴᠣᠮᠬᠠᠷᠠᠯ᠎ᠤᠨ ᠲᠣᠮᠢᠶ᠎ᠠ
    6. 6. ᠲᠣᠭ᠎ᠠ ᠬᠡᠮᠵᠢᠭᠳᠡᠯ᠎ᠦᠨ ᠢᠯᠭᠠᠷᠠᠯ
  8. ᠨᠠᠢ᠍ᠮᠠᠳᠤᠭᠠᠷ ᠪᠦᠯᠦᠭ ᠡᠩ᠎ᠦᠨ ᠢᠯᠭᠠᠷᠠᠯ᠎ᠤᠨ ᠲᠡᠭᠱᠢᠳᠭᠡᠯ᠎ᠦᠨ ᠲᠣᠭ᠎ᠠ ᠬᠡᠮᠵᠢᠭᠳᠡᠯ᠎ᠦᠨ ᠪᠣᠳᠤᠯᠭ᠎ᠠ ᠵᠢᠨ ᠠᠷᠭ᠎ᠠ
    1. 1. ᠤᠳᠤᠷᠢᠳᠭᠠᠯ
    2. 2. ᠱᠢᠨᠡᠴᠢᠯᠡᠭᠰᠡᠨ Euler᠎ᠤᠨ ᠠᠷᠭ᠎ᠠ ᠪᠠ Taylor᠎ᠤᠨ ᠳᠡᠯᠭᠡᠬᠦ ᠠᠷᠭ᠎ᠠ
    3. 3. Runge - kutta ᠠᠷᠭ᠎ᠠ
    4. 4. ᠲᠠᠩ ᠠᠯᠬᠤᠮᠲᠤ ᠠᠷᠭ᠎ᠠ ᠵᠢᠨ ᠬᠤᠷᠠᠬᠤ ᠴᠢᠨᠠᠷ ᠪᠠ ᠲᠣᠭᠲᠠᠩᠭᠤᠢ ᠴᠢᠨᠠᠷ
    5. 5. ᠱᠤᠭᠤᠮᠤᠨ ᠤᠯᠠᠨ ᠠᠯᠬᠤᠮᠲᠤ ᠠᠷᠭ᠎ᠠ
    6. 6. ᠡᠩ᠎ᠦᠨ ᠢᠯᠭᠠᠷᠠᠯ᠎ᠤᠨ ᠲᠡᠭᠱᠢᠳᠭᠡᠯ᠎ᠦᠨ ᠪᠦᠯᠦᠭ ᠪᠠ ᠥᠨᠳᠦᠷ ᠲᠡᠰ᠎ᠦᠨ ᠢᠯᠭᠠᠷᠠᠯ᠎ᠤᠨ ᠲᠡᠭᠱᠢᠳᠭᠡᠯ᠎ᠦᠨ ᠲᠣᠭ᠎ᠠ ᠬᠡᠮᠵᠢᠭᠳᠡᠯ᠎ᠦᠨ ᠪᠣᠳᠤᠯᠭ᠎ᠠ ᠵᠢᠨ ᠠᠷᠭ᠎ᠠ