University study material for Mathematical and Numerical Methods in Engineering in the Biomedical Engineering degree programme at Politecnico di Milano. The document covers: * Questo modulo registrerà il tuo nome, inserire il nome. 21/1/2025 - 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
University study material for Mathematical and Numerical Methods in Engineering in the Biomedical Engineering degree programme at Politecnico di Milano. The document covers: * Questo modulo registrerà il tuo nome, inserire il nome. 21/1/2025 - 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
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* Questo modulo registrerà il tuo nome, inserire il nome. 21/1/2025 - 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 ------------------------------------------------------------------------------------------------------------------------------- -- 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 Part I Quiz Answer the following questions: U^{n+1} = U^n + beta*dt/(2h)*B*U^n - dt*F^n U^{n+1} = U^n - beta*dt/(2h)*B*U^n + dt*F^n B*U^{n+1} = U^n - beta*dt/(2h)*U^n + dt*F^n (I+beta*dt/2h)*B)*U^{n+1} = U^n dt*F^n Given the matrix B with 0 on the main diagonal, +1 on the up main diagonal (elements (j,j+1)) and -1 on the low main diagonal (elemens (j,j-1)), and vectors F collecting approximation of the forcing terms/boundary conditions, which is the vectorial expression for the Forward Euler centered method applied to the unsteady advection problem with parameter beta? (1 punto) 1 It is not affected neither by numerical dissipation nor by numerical dispersion It is affected by a relevant numerical dissipation It is affected by a relevant numerical dispersion (i.e. a phase error) It is affected by relevant numerical dissipation and dispersion Which is true about the numerical solution obtained by means of the Lax-Wendroff scheme? (1 punto) 2 A diffusion/reaction partial differential equation A linear system with matrix A A system of ordinary differential equations with matrix A An ordinary…
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