Calculus of variations provides a unifying language for problems in which the state or trajectory of a system is determined by extremising an energy or action functional. Rooted in classical mechanics ...
Calculus to the level of ODEs, partial derivative and multiple integrals, some knowledge of PDEs helpful but not essential. Students should have a certain comfort level with dealing with advanced ...
Free boundary problems arise in the calculus of variations when the region on which a governing equation acts is itself part of the solution. In such problems, one seeks a function that minimises an ...
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