approximation

Finite element methods: approximation and calculation

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The resolution of complex partial differential equations (PDEs), which are ubiquitous in various scientific and technical fields, today relies predominantly on advanced numerical methods. Among these, the finite element method stands out as an essential pillar of modern numerical analysis. It enables the understanding and solving of problems that once seemed inaccessible, particularly in the … Read more

Orthogonal polynomials: approximation and quadrature

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Orthogonal polynomials are at the heart of many advancements in numerical analysis and functional approximation. These mathematical tools allow for the precise representation of complex functions while controlling the error associated with this approximation. More than just a theoretical concept, they find practical applications in the calculation of numerical integrals, the solving of linear systems, … Read more