On the Sign-Stability of Finite Difference Solutions of Semilinear Parabolic Problems

DOI10.1007/978-3-642-00464-3_33zbMath1233.65057OpenAlexW1536071751MaRDI QIDQ3615671

Robert Horváth

Publication date: 24 March 2009

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-00464-3_33

zbMATH Keywords

heat conduction equationfinite difference solutionsemilinear parabolic problemone-dimensional parabolic problemssign-stability propertyspatial sign-changes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Semilinear parabolic equations (35K58)

Related Items (1)

On some discrete qualitative properties of implicit finite difference solutions of nonlinear parabolic problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the sign-stability of numerical solutions of one-dimensional parabolic problems
• A finite difference approach to the number of peaks of solutions for semilinear parabolic problems
• Vorzeichenstabile Differenzenverfahren für parabolische Anfangsrandwertaufgaben
• Discrete maximum principle for linear parabolic problems solved on hybrid meshes
• Maximum norm contractivity in the numerical solution of the one-dimensional heat equation
• Qualitatives über Wärmeausgleich
• Discrete Maximum Principle and Adequate Discretizations of Linear Parabolic Problems
• On the Sign-Stability of the Finite Difference Solutions of One-Dimensional Parabolic Problems

This page was built for publication: On the Sign-Stability of Finite Difference Solutions of Semilinear Parabolic Problems