Solution of continuous nonlinear PDEs through order completion:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam
North-Holland
1994
|
| Series: | North-Holland mathematics studies
181 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This work inaugurates a new and general solution method for arbitrary continuous nonlinear PDEs. The solution method is based on Dedekind order completion of usual spaces of smooth functions defined on domains in Euclidean spaces. However, the nonlinear PDEs dealt with need not satisfy any kind of monotonicity properties. Moreover, the solution method is completely type independent. In other words, it does not assume anything about the nonlinear PDEs, except for the continuity of their left hand term, which includes the unkown function. Furthermore the right hand term of such nonlinear PDEs can in fact be given any discontinuous and measurable function Includes bibliographical references (p. 421-428) and index |
| Physical Description: | 1 Online-Ressource (xvi, 432 p.) |
| ISBN: | 9780444820358 0444820353 |
Staff View
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| 100 | 1 | |a Oberguggenberger, Michael |d 1953- |e Verfasser |0 (DE-588)131514938 |4 aut | |
| 245 | 1 | 0 | |a Solution of continuous nonlinear PDEs through order completion |c Michael B. Oberguggenberger, Elemér E. Rosinger |
| 264 | 1 | |a Amsterdam |b North-Holland |c 1994 | |
| 300 | |a 1 Online-Ressource (xvi, 432 p.) | ||
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| 490 | 0 | |a North-Holland mathematics studies |v 181 | |
| 500 | |a This work inaugurates a new and general solution method for arbitrary continuous nonlinear PDEs. The solution method is based on Dedekind order completion of usual spaces of smooth functions defined on domains in Euclidean spaces. However, the nonlinear PDEs dealt with need not satisfy any kind of monotonicity properties. Moreover, the solution method is completely type independent. In other words, it does not assume anything about the nonlinear PDEs, except for the continuity of their left hand term, which includes the unkown function. Furthermore the right hand term of such nonlinear PDEs can in fact be given any discontinuous and measurable function | ||
| 500 | |a Includes bibliographical references (p. 421-428) and index | ||
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| 650 | 7 | |a Niet-lineaire vergelijkingen |2 gtt | |
| 650 | 7 | |a Equations différentielles non linéaires / Solutions numériques |2 ram | |
| 650 | 7 | |a Differential equations, Nonlinear / Numerical solutions |2 fast | |
| 650 | 4 | |a Differential equations, Nonlinear |x Numerical solutions | |
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| author | Oberguggenberger, Michael 1953- |
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| author_sort | Oberguggenberger, Michael 1953- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV042317767 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:17Z |
| institution | BVB |
| isbn | 9780444820358 0444820353 |
| language | English |
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| publishDate | 1994 |
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| publisher | North-Holland |
| record_format | marc |
| series2 | North-Holland mathematics studies |
| spelling | Oberguggenberger, Michael 1953- Verfasser (DE-588)131514938 aut Solution of continuous nonlinear PDEs through order completion Michael B. Oberguggenberger, Elemér E. Rosinger Amsterdam North-Holland 1994 1 Online-Ressource (xvi, 432 p.) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematics studies 181 This work inaugurates a new and general solution method for arbitrary continuous nonlinear PDEs. The solution method is based on Dedekind order completion of usual spaces of smooth functions defined on domains in Euclidean spaces. However, the nonlinear PDEs dealt with need not satisfy any kind of monotonicity properties. Moreover, the solution method is completely type independent. In other words, it does not assume anything about the nonlinear PDEs, except for the continuity of their left hand term, which includes the unkown function. Furthermore the right hand term of such nonlinear PDEs can in fact be given any discontinuous and measurable function Includes bibliographical references (p. 421-428) and index Partiële differentiaalvergelijkingen gtt Niet-lineaire vergelijkingen gtt Equations différentielles non linéaires / Solutions numériques ram Differential equations, Nonlinear / Numerical solutions fast Differential equations, Nonlinear Numerical solutions Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd rswk-swf Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 s 1\p DE-604 Rosinger, Elemer E. Sonstige oth http://www.sciencedirect.com/science/book/9780444820358 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Oberguggenberger, Michael 1953- Solution of continuous nonlinear PDEs through order completion Partiële differentiaalvergelijkingen gtt Niet-lineaire vergelijkingen gtt Equations différentielles non linéaires / Solutions numériques ram Differential equations, Nonlinear / Numerical solutions fast Differential equations, Nonlinear Numerical solutions Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| subject_GND | (DE-588)4128900-6 |
| title | Solution of continuous nonlinear PDEs through order completion |
| title_auth | Solution of continuous nonlinear PDEs through order completion |
| title_exact_search | Solution of continuous nonlinear PDEs through order completion |
| title_full | Solution of continuous nonlinear PDEs through order completion Michael B. Oberguggenberger, Elemér E. Rosinger |
| title_fullStr | Solution of continuous nonlinear PDEs through order completion Michael B. Oberguggenberger, Elemér E. Rosinger |
| title_full_unstemmed | Solution of continuous nonlinear PDEs through order completion Michael B. Oberguggenberger, Elemér E. Rosinger |
| title_short | Solution of continuous nonlinear PDEs through order completion |
| title_sort | solution of continuous nonlinear pdes through order completion |
| topic | Partiële differentiaalvergelijkingen gtt Niet-lineaire vergelijkingen gtt Equations différentielles non linéaires / Solutions numériques ram Differential equations, Nonlinear / Numerical solutions fast Differential equations, Nonlinear Numerical solutions Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| topic_facet | Partiële differentiaalvergelijkingen Niet-lineaire vergelijkingen Equations différentielles non linéaires / Solutions numériques Differential equations, Nonlinear / Numerical solutions Differential equations, Nonlinear Numerical solutions Nichtlineare partielle Differentialgleichung |
| url | http://www.sciencedirect.com/science/book/9780444820358 |
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