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[null,"1.","Record Nr.",null,"UNINA9910480413403321"]
[null,null,"Autore",null,"Estep Donald J. <1959->"]
[null,null,"Titolo",null,"Estimating the error of numerical solutions of systems of reaction-diffusion equations / / Donald J. Estep, Mats G. Larson, Roy D. Williams"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [2000]"]
[{"$nulls":4},"©2000"]
[null,null,"ISBN",null,"1-4704-0287-4"]
[null,null,"Descrizione fisica",null,"1 online resource (125 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 696"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"515/.353"]
[null,null,"Soggetti",null,"Reaction-diffusion equations"]
[{"$nulls":4},"Numerical calculations"]
[{"$nulls":4},"Error analysis (Mathematics)"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"July 2000, volume 146, number 696 (end of volume).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Chapter 1. Introduction\"\"; \"\"1.1. Numerical analysis and reaction-diffusion equations\"\"; \"\"1.2. The limitations of classic a priori error analysis\"\"; \"\"1.3. What we do and don't do in this paper\"\"; \"\"1.4. A brief overview of related work\"\"; \"\"1.5. The plan of the paper\"\"; \"\"Acknowledgments\"\"; \"\"Chapter 2. A framework for a posteriori error estimation\"\"; \"\"2.1. The continuous problem and its discretization\"\"; \"\"2.2. The residual error\"\"; \"\"2.3. The dual problem and a formula for the error\"\"; \"\"2.4. The stability factors and the a posteriori error estimate\"\""]
[{"$nulls":4},"\"\"Chapter 3. The size of the residual errors and stability factors\"\"\"\"3.1. The size of the residual errors\"\"; \"\"3.2. The size of the stability factors\"\"; \"\"3.3. Application of the analysis to systems with constant diffusion\"\"; \"\"3.4. The a posteriori estimate and convergence\"\"; \"\"Chapter 4. Computational error estimation\"\"; \"\"4.1. Two examples and a stability factor gallery\"\"; \"\"4.2. Choosing data for the dual problem\"\"; \"\"4.3. Linearization and the approximate dual problem\"\"; \"\"4.4. A test of the accuracy and reliability of the error estimate\"\"; \"\"4.5. Some details of implementation\"\""]
[{"$nulls":4},"\"\"4.6. Numerical results for the nine models\"\"\"\"Chapter 5. Preservation of invariant rectangles under discretization\"\"; \"\"5.1. Invariant rectangles "]
[{"$nulls":4},"and convergence\"\"; \"\"5.2. Preservation of a \"\"fuzzy\"\" invariant rectangle\"\"; \"\"5.3. Exact preservation of an invariant rectangle\"\"; \"\"Chapter 6. Details of the analysis in Chapter 2\"\"; \"\"Chapter 7. Details of the analysis in Chapter 3\"\"; \"\"Chapter 8. Details of the analysis in Chapter 5\"\"; \"\"Bibliography\"\""]