Foundation of Scientific Computing

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Basic computing – discretization numerical errors – coputations of ODE – solving stiff equation through orthoganization – relationship between computing and science – milestones in electric era – super computer – hardware issues – fortran language – somerfield equation – compound matrix method – dynamic waves and it;s propagation – dispersion and ray paths – velocity – surface gateway – domain analysis – optimization – wave solution of heat equation – heat equation and waves

periodic tridiagonal system – energy spectrum – adi method – self adjoint form for laplacian operator – dignol dominance – error propagation equation -gerschgion theorems – high performace computing – hermitian and implict methods – global analsys – philips noodling and filltering – analasys of filters – NCCD – energy conversion and DRP of galerkin FEM

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