Construction of two-sided bounds for initial-boundary value problems

DOI10.1016/S0168-9274(01)00149-0zbMath1002.65104OpenAlexW2089917103MaRDI QIDQ1612456

R. Smith

Publication date: 22 August 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(01)00149-0

zbMATH Keywords

initial-boundary value problemsRothe's methodparabolic problemstwo-sided error boundsbounding operator methodcontinuous discretization methods

Mathematics Subject Classification ID

Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

• Elliptic and parabolic systems for neutron fission and diffusion
• A new error-control for initial value solvers
• Operator inequalities
• Positivity of Runge-Kutta and diagonally split Runge-Kutta methods
• Validated solutions of initial value problems for ordinary differential equations
• Nonlinear elliptic boundary-value problems in unbounded domains
• Robust Defect Control with Runge–Kutta Schemes
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