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IMPETUS 26 – International Conference on Computing, Engineering, and Technology
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294 views13likes1:56:38UWUofficialOriginal Release: 2026-05-28

Real-world applications drive innovation in computational mathematics by revealing fundamental challenges that lead to new numerical techniques. When researchers encounter singular points in simulations (where derivatives become infinite), standard high-order methods fail to converge properly. Transforming to logarithmic coordinate systems (θ and ρ = log(r/r₀)) can restore proper convergence rates, enabling accurate simulations of complex engineering problems like silicon wafer production and wind turbine optimization. This demonstrates that collaboration with industry and engagement with practical problems are essential for advancing computational methods.

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