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Lecture
Parabolic Heat Equation
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Numerical Analysis: Implicit Schemes
Covers implicit schemes in numerical analysis for solving partial differential equations.
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Covers high order methods for space discretisation in linear differential systems.
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Covers the heat equation, its physical interpretation, and numerical methods for solving it.
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Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.
Nonlinear Equations: Fixed Point Method Convergence
Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.
Heat Equation in 1D: Chapter 12
Explores the heat equation in 1D, emphasizing conservation of thermal energy and numerical solution methods.
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Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.
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Covers Euler and Crank-Nicolson methods for solving differential equations.
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Explores consistency and stability in numerical methods, emphasizing error analysis and the role of boundary conditions.