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By ΠΠΎΡΠ΄ΠΈΠ½ ΠΠ»Π°Π΄ΠΈΠΌΠΈΡ ΠΠ»Π΅ΠΊΡΠ°Π½Π΄ΡΠΎΠ²ΠΈΡ
ΠΠ»Π°Π΄ΠΈΠΌΠΈΡ ΠΠ»Π΅ΠΊΡΠ°Π½Π΄ΡΠΎΠ²ΠΈΡ ΠΠΎΡΠ΄ΠΈΠ½, 2025, Π‘Π΅ΡΠΈΡ: Π£ΡΠ΅Π±Π½ΠΈΠΊΠΈ ΠΡΡΡΠ΅ΠΉ ΡΠΊΠΎΠ»Ρ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠΈ
ΠΠ°Π½Π½ΠΎΠ΅ ΡΡΠ΅Π±Π½ΠΎΠ΅ ΠΏΠΎΡΠΎΠ±ΠΈΠ΅ ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΎ Π½Π° ΠΊΡΡΡΠ°Ρ , ΡΠΈΡΠ°Π΅ΠΌΡΡ Π°Π²ΡΠΎΡΠΎΠΌ Π² ΠΡΡΡΠ΅ΠΉ ΡΠΊΠΎΠ»Π΅ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠΈ ΠΈ ΠΠΎΡΠΊΠΎΠ²ΡΠΊΠΎΠΌ ΡΠΈΠ·ΠΈΠΊΠΎ-ΡΠ΅Ρ Π½ΠΈΡΠ΅ΡΠΊΠΎΠΌ ΠΈΠ½ΡΡΠΈΡΡΡΠ΅. Π Π½Π΅ΠΌ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ ΠΌΠ΅ΡΠΎΠ΄Ρ, ΠΏΡΠΈΠΌΠ΅Π½ΡΠ΅ΠΌΡΠ΅ Π΄Π»Ρ ΡΠΎΠ·Π΄Π°Π½ΠΈΡ ΠΈ Π°Π½Π°Π»ΠΈΠ·Π° ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ, Π° ΡΠ°ΠΊΠΆΠ΅ Π΄Π»Ρ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΠΈ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΡΡ Π°Π»Π³ΠΎΡΠΈΡΠΌΠΎΠ² ΠΈΡ ΡΠΈΡΠ»Π΅Π½Π½ΠΎΠ³ΠΎ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ. Π Π°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°ΡΡΡΡ ΡΠ°ΠΊΠΈΠ΅ ΡΠ΅ΠΌΡ, ΠΊΠ°ΠΊ ΡΡΠ°Π²Π½Π΅Π½ΠΈΡ Π² ΡΠ°ΡΡΠ½ΡΡ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄Π½ΡΡ , ΠΏΡΠ΅ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΠ΅ Π€ΡΡΡΠ΅, ΠΎΠ±ΠΎΠ±ΡΠ΅Π½Π½ΡΠ΅ ΡΡΠ½ΠΊΡΠΈΠΈ ΠΈ ΠΊΠΎΠΌΠΏΠ°ΠΊΡΠ½ΡΠ΅ ΡΠ°Π·Π½ΠΎΡΡΠ½ΡΠ΅ ΡΡ Π΅ΠΌΡ. Π ΠΏΡΠΈΠ»ΠΎΠΆΠ΅Π½ΠΈΡΡ ΡΠΎΠ΄Π΅ΡΠΆΠ°ΡΡΡ ΡΠ²Π΅Π΄Π΅Π½ΠΈΡ ΠΎ Π²ΡΡΠΈΡΠ»ΠΈΡΠ΅Π»ΡΠ½ΡΡ ΠΌΠ΅ΡΠΎΠ΄Π°Ρ .
Vladimir Alexandrovich Gordin, 2025, Series: Higher School of Economics Textbooks
This textbook is based on courses taught by the author at the Higher School of Economics and the Moscow Institute of Physics and Technology. It presents methods used for constructing and analyzing mathematical models, as well as for developing effective algorithms for their numerical investigation. Topics covered include partial differential equations, Fourier transforms, generalized functions, and compact difference schemes. Appendices provide necessary information on computational methods.