Let the Heat equation or some other partial differential equation. I seek some reference in which there exists error analysis concerning the fully-discrete scheme with the finite element method (continuous) in spatial variable and a Runge - Kutta method in time variable.
2026-03-26 00:58:24.1774486704
Reference Request: Error estimation with Runge Kutta method with continuous finite elements
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A very in-depth book is: Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations by Willem Hundsdorfer, Jan Verwer.
The heat equation is a special case of advection-diffusion where advection is zero.