Estimating the Error of Numerical Solutions of Systems of Reaction-Diffusion Equations

By D. Estep, Mats G. Larson, Roy D. Williams. 2000

194 citations recorded by the source corpus.

Subfields: Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/14a72ab382402fa449f2e11f345acaff1d969904

How researchers see this paper

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In Numerical Analysis

1. Jan G. Verwer
2. Willem Hundsdorfer
3. Jeffrey A. F. Hittinger
4. Valeriu Savcenco
5. Jeffrey M. Connors
6. Jeffrey W. Banks
7. Carol S. Woodward
8. Bruno D. Welfert

Citations in the corpus

• A multirate time stepping strategy for stiff ordinary differential equations (2007, background): “This problem is an extended version version of the bistable problem considered in [5].”
• Numerical error estimation for nonlinear hyperbolic PDEs via nonlinear error transport (2011, methodology): “Adjoint methods [7, 8] estimate the error in a QoI from the solution of an auxiliary adjoint problem and the residual of the discrete solution.”