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What is Numerical Analysis of Differential Equations about?

The document discusses numerical methods for solving differential equations. It begins by outlining three main conceptual stages: 1) semidiscretization of partial differential equations (PDEs) into systems of ordinary differential equations (ODEs), 2) using ODE solvers to solve the resulting systems of ODEs, and 3) solving any linear algebra problems that arise. As an example, it shows how the heat equation can be semidiscretized and then solved using forward Euler, backward Euler, or trapezoidal methods. S

Author

farah

Language

EN