es MNIBIO 6Feb25 part I correzione

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* Questo modulo registrerà il tuo nome, inserire il nome. 6/2/2025 - MATHEMATICAL AND NUMERICAL METHODS IN ENGINEERING - NUMERICAL PART Prof. C. Vergara TIME : 1h 45' Rispondere direttamente su Forms o su un foglio di carta in base alle istruzioni indicate punto per punto. Per le risposte della parte 3 (scritte su un foglio di carta), consegnarle direttamente al docente per i presenti, caricarle sul form dopo foto per gli on-line (la foto da eseguirsi al via libera del docente). ------------------------------------------------------------------------------------------------------------------------------- -- Respond directly on Forms or on a sheet of paper according to the step-by-step instructions. For answers of part 3 (written on a sheet of paper), please give them to the teacher for the in presence students, upload them ufter the photo on the form for the on-line students (the photo should be done after the ok of the teacher). Part I Quiz Answer the following questions: It gives a bound on Dt which should be smaller than a given quantity independent of h It is not needed by the Backward Euler/Centered method to achive (absolute) stability It requires that the propagation of the numerical signal is slower than the continuous one It is not needed by the Lax-Wendroff method to achive (absolute) stability Which sentence is true about the CFL property for the unsteady advection problem (conservation law)? (1 punto) 1 Which of the following is the Upwind scheme for a conservation law with convection given by β > 0? (1 punto) 2 U^1_3 = -127/100 U^1_3 = 7/100 U^1_3 = 73/100 U^1_3 = -2/25 Given the unsteady advection problem in [0,1] with beta= 4 and the Forward/Euler Centered scheme, with f=0, u0=x^2-1, dt=0.2, h=0.1, which of the following is true? U^n_j means solution at…