A numerical algorithm for blow-up problems revisited
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Publication:2407867
DOI10.1007/s11075-016-0216-6zbMath1376.65113OpenAlexW2533650310MaRDI QIDQ2407867
Publication date: 6 October 2017
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-016-0216-6
Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solutions to abstract evolution equations (65J08)
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On the numerical solutions for a parabolic system with blow-up, Finite difference schemes for an axisymmetric nonlinear heat equation with blow-up, Rigorous numerical inclusion of the blow-up time for the Fujita-type equation
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Cites Work
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- Numerical detection of blow-up: a new sufficient condition for blow-up
- On the computation of the numerical blow-up time
- On the convergence of numerical blow-up time for a second order nonlinear ordinary differential equation
- Single point blow-up for a semilinear initial value problem
- Notes on finite difference schemes to a parabolic-elliptic system modelling chemotaxis
- Totally discrete explicit and semi-implicit Euler methods for a blow-up problem in several space dimensions
- On the uniqueness of \(L^1\)-continuation after blowup
- A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations
- Further remarks on asymptotic behavior of the numerical solutions of parabolic blow-up problems
- Differentiability of the blow-up curve for one dimensional nonlinear wave equations
- Blow-up of solutions of nonlinear heat equations
- Blow-up solutions to a finite difference analogue of \(u_ t = \Delta{}u + u^{1+\alpha{}}\) in \(N\)-dimensional balls
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Various behaviors of solutions for a semilinear heat equation after blowup
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Multiple blowup of solutions for a semilinear heat equation
- On the finite difference approximation for blow-up solutions of the porous medium equation with a source
- Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis
- An iterative grid redistribution method for singular problems in multiple dimensions
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- A finite volume scheme for the Patlak-Keller-Segel chemotaxis model
- On the finite difference approximation for a parabolic blow-up problem
- Blow-Up Behavior of Collocation Solutions to Hammerstein-Type Volterra Integral Equations
- A Finite Difference Scheme for Blow-Up Solutions of Nonlinear Wave Equations
- Conservative upwind finite-element method for a simplified Keller–Segel system modelling chemotaxis
- On the computation of blow-up
- Global blow-up of a nonlinear heat equation
- The Blow-Up Boundary for Nonlinear Wave Equations
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Immediate Regularization after Blow-up
- The Euler method in the numerical integration of reaction-diffusion problems with blow up
