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3 Result(s)
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Article
Open AccessCorrection to: Rigorous numerics for nonlinear heat equations in the complex plane of time
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Open AccessRigorous numerics for nonlinear heat equations in the complex plane of time
In this paper, we introduce a method for computing rigorous local inclusions of solutions of Cauchy problems for nonlinear heat equations for complex time values. The proof is constructive and provides explici...
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Numerical validation of blow-up solutions with quasi-homogeneous compactifications
We provide a numerical validation method of blow-up solutions for finite dimensional vector fields admitting asymptotic quasi-homogeneity at infinity. Our methodology is based on quasi-homogeneous compactifica...
