Dependence of the blow-up time with respect to parameters and numerical approximations for a parabolic problem

We find a bound for the modulus of continuity of the blow-up time for the problem ut = λΔu + up, with initial datum u(x, 0) = φ(x) + hf(x) respect to the parameters λ, p and h. We also find an estimate for the rate of convergence of the blow-up times for a semi-discrete numerical scheme.

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Detalles Bibliográficos
Autores principales: Groisman, P., Rossi, J.D.
Formato: JOUR
Materias:
Blow-up
Semidiscretization in space
Semilinear parabolic equations
Approximation theory
Boundary conditions
Convergence of numerical methods
Integral equations
Matrix algebra
Ordinary differential equations
Perturbation techniques
Theorem proving
Blow-up time
Partial differential equations
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09217134_v37_n1_p79_Groisman
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_09217134_v37_n1_p79_Groisman
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spelling todo:paper_09217134_v37_n1_p79_Groisman2023-10-03T15:45:39Z Dependence of the blow-up time with respect to parameters and numerical approximations for a parabolic problem Groisman, P. Rossi, J.D. Blow-up Semidiscretization in space Semilinear parabolic equations Approximation theory Boundary conditions Convergence of numerical methods Integral equations Matrix algebra Ordinary differential equations Perturbation techniques Theorem proving Blow-up time Semidiscretization in space Semilinear parabolic equations Partial differential equations We find a bound for the modulus of continuity of the blow-up time for the problem ut = λΔu + up, with initial datum u(x, 0) = φ(x) + hf(x) respect to the parameters λ, p and h. We also find an estimate for the rate of convergence of the blow-up times for a semi-discrete numerical scheme. Fil:Groisman, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09217134_v37_n1_p79_Groisman
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Blow-up
Semidiscretization in space
Semilinear parabolic equations
Approximation theory
Boundary conditions
Convergence of numerical methods
Integral equations
Matrix algebra
Ordinary differential equations
Perturbation techniques
Theorem proving
Blow-up time
Semidiscretization in space
Semilinear parabolic equations
Partial differential equations
spellingShingle Blow-up
Semidiscretization in space
Semilinear parabolic equations
Approximation theory
Boundary conditions
Convergence of numerical methods
Integral equations
Matrix algebra
Ordinary differential equations
Perturbation techniques
Theorem proving
Blow-up time
Semidiscretization in space
Semilinear parabolic equations
Partial differential equations
Groisman, P.
Rossi, J.D.
Dependence of the blow-up time with respect to parameters and numerical approximations for a parabolic problem
topic_facet Blow-up
Semidiscretization in space
Semilinear parabolic equations
Approximation theory
Boundary conditions
Convergence of numerical methods
Integral equations
Matrix algebra
Ordinary differential equations
Perturbation techniques
Theorem proving
Blow-up time
Semidiscretization in space
Semilinear parabolic equations
Partial differential equations
description We find a bound for the modulus of continuity of the blow-up time for the problem ut = λΔu + up, with initial datum u(x, 0) = φ(x) + hf(x) respect to the parameters λ, p and h. We also find an estimate for the rate of convergence of the blow-up times for a semi-discrete numerical scheme.
format JOUR
author Groisman, P.
Rossi, J.D.
author_facet Groisman, P.
Rossi, J.D.
author_sort Groisman, P.
title Dependence of the blow-up time with respect to parameters and numerical approximations for a parabolic problem
title_short Dependence of the blow-up time with respect to parameters and numerical approximations for a parabolic problem
title_full Dependence of the blow-up time with respect to parameters and numerical approximations for a parabolic problem
title_fullStr Dependence of the blow-up time with respect to parameters and numerical approximations for a parabolic problem
title_full_unstemmed Dependence of the blow-up time with respect to parameters and numerical approximations for a parabolic problem
title_sort dependence of the blow-up time with respect to parameters and numerical approximations for a parabolic problem
url http://hdl.handle.net/20.500.12110/paper_09217134_v37_n1_p79_Groisman
work_keys_str_mv AT groismanp dependenceoftheblowuptimewithrespecttoparametersandnumericalapproximationsforaparabolicproblem
AT rossijd dependenceoftheblowuptimewithrespecttoparametersandnumericalapproximationsforaparabolicproblem
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