»ã±¨±êÌâ (Title)£ºSpectral Methods: Some Recent Advances and New Perspectives(Æײ½Ö裺һЩ×îнøÕ¹ÓëиÅÏë)

»ã±¨ÈË (Speaker)£ºÍõÁ¢Áª ½ÌÊÚ£¨ÄÏÑóÀí¹¤´óѧ£©

»ã±¨¹¦·ò (Time)£º2023Äê11ÔÂ8ÈÕ(ÖÜÈý) 10:30

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒé(530 994 719)

Ô¼ÇëÈË(Inviter)£ºÀƷ¡¢²ÌÃô

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»ã±¨ÌáÒª£ºIn the past decades, the spectral method has become one of the major tools in scientific computing due to its superior accuracy and efficiency when it is properly designed. In this talk, we shall review the evolution of spectral method and elaborate on some recent advancements from the perspective of (i) Singular, fractional and nonlocal problems; (ii) Complex domains/geometries (e.g., spectral fictitious domain method and spectral methods on pipes, knots etc); and (iii) PDEs with highly oscillatory solutions among others. We shall also outline some new directions that the spectral method can excel itself and unknown areas that the spectral method might be the method of choice.