The reduction of one-dimensional eigenvalue problems to the solution of simultaneous algebraic equations with one nonlinearity
Summary A method is developed to obtain numerically eigenvalues associated with ordinary differential equations and variational formulations. The numerical operation required is the solution of a set of linear algebraic equations, with one nonlinearity, i.e., the transcendental dependence on the eig...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Pnueli, D. [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
1974 |
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| Schlagwörter: |
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| Anmerkung: |
© Noordhoff International Publishing 1974 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of engineering mathematics - Kluwer Academic Publishers, 1967, 8(1974), 4 vom: Okt., Seite 297-302 |
|---|---|
| Übergeordnetes Werk: |
volume:8 ; year:1974 ; number:4 ; month:10 ; pages:297-302 |
| Links: |
|---|
| DOI / URN: |
10.1007/BF02353495 |
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| Katalog-ID: |
OLC2074026471 |
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| 520 | |a Summary A method is developed to obtain numerically eigenvalues associated with ordinary differential equations and variational formulations. The numerical operation required is the solution of a set of linear algebraic equations, with one nonlinearity, i.e., the transcendental dependence on the eigenvalue. This operation is the same for all problems resulting from equations of the same order, and therefore can easily be programmed; the particulars of a specific problem are then just input for the program. | ||
| 650 | 4 | |a Differential Equation | |
| 650 | 4 | |a Mathematical Modeling | |
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| 650 | 4 | |a Eigenvalue Problem | |
| 650 | 4 | |a Industrial Mathematic | |
| 700 | 1 | |a Isenberg, J. |4 aut | |
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10.1007/BF02353495 doi (DE-627)OLC2074026471 (DE-He213)BF02353495-p DE-627 ger DE-627 rakwb eng 510 VZ Pnueli, D. verfasserin aut The reduction of one-dimensional eigenvalue problems to the solution of simultaneous algebraic equations with one nonlinearity 1974 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Noordhoff International Publishing 1974 Summary A method is developed to obtain numerically eigenvalues associated with ordinary differential equations and variational formulations. The numerical operation required is the solution of a set of linear algebraic equations, with one nonlinearity, i.e., the transcendental dependence on the eigenvalue. This operation is the same for all problems resulting from equations of the same order, and therefore can easily be programmed; the particulars of a specific problem are then just input for the program. Differential Equation Mathematical Modeling Ordinary Differential Equation Eigenvalue Problem Industrial Mathematic Isenberg, J. aut Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 8(1974), 4 vom: Okt., Seite 297-302 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:8 year:1974 number:4 month:10 pages:297-302 https://doi.org/10.1007/BF02353495 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_32 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4307 GBV_ILN_4316 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 AR 8 1974 4 10 297-302 |
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10.1007/BF02353495 doi (DE-627)OLC2074026471 (DE-He213)BF02353495-p DE-627 ger DE-627 rakwb eng 510 VZ Pnueli, D. verfasserin aut The reduction of one-dimensional eigenvalue problems to the solution of simultaneous algebraic equations with one nonlinearity 1974 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Noordhoff International Publishing 1974 Summary A method is developed to obtain numerically eigenvalues associated with ordinary differential equations and variational formulations. The numerical operation required is the solution of a set of linear algebraic equations, with one nonlinearity, i.e., the transcendental dependence on the eigenvalue. This operation is the same for all problems resulting from equations of the same order, and therefore can easily be programmed; the particulars of a specific problem are then just input for the program. Differential Equation Mathematical Modeling Ordinary Differential Equation Eigenvalue Problem Industrial Mathematic Isenberg, J. aut Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 8(1974), 4 vom: Okt., Seite 297-302 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:8 year:1974 number:4 month:10 pages:297-302 https://doi.org/10.1007/BF02353495 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_32 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4307 GBV_ILN_4316 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 AR 8 1974 4 10 297-302 |
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10.1007/BF02353495 doi (DE-627)OLC2074026471 (DE-He213)BF02353495-p DE-627 ger DE-627 rakwb eng 510 VZ Pnueli, D. verfasserin aut The reduction of one-dimensional eigenvalue problems to the solution of simultaneous algebraic equations with one nonlinearity 1974 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Noordhoff International Publishing 1974 Summary A method is developed to obtain numerically eigenvalues associated with ordinary differential equations and variational formulations. The numerical operation required is the solution of a set of linear algebraic equations, with one nonlinearity, i.e., the transcendental dependence on the eigenvalue. This operation is the same for all problems resulting from equations of the same order, and therefore can easily be programmed; the particulars of a specific problem are then just input for the program. Differential Equation Mathematical Modeling Ordinary Differential Equation Eigenvalue Problem Industrial Mathematic Isenberg, J. aut Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 8(1974), 4 vom: Okt., Seite 297-302 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:8 year:1974 number:4 month:10 pages:297-302 https://doi.org/10.1007/BF02353495 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_32 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4307 GBV_ILN_4316 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 AR 8 1974 4 10 297-302 |
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10.1007/BF02353495 doi (DE-627)OLC2074026471 (DE-He213)BF02353495-p DE-627 ger DE-627 rakwb eng 510 VZ Pnueli, D. verfasserin aut The reduction of one-dimensional eigenvalue problems to the solution of simultaneous algebraic equations with one nonlinearity 1974 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Noordhoff International Publishing 1974 Summary A method is developed to obtain numerically eigenvalues associated with ordinary differential equations and variational formulations. The numerical operation required is the solution of a set of linear algebraic equations, with one nonlinearity, i.e., the transcendental dependence on the eigenvalue. This operation is the same for all problems resulting from equations of the same order, and therefore can easily be programmed; the particulars of a specific problem are then just input for the program. Differential Equation Mathematical Modeling Ordinary Differential Equation Eigenvalue Problem Industrial Mathematic Isenberg, J. aut Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 8(1974), 4 vom: Okt., Seite 297-302 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:8 year:1974 number:4 month:10 pages:297-302 https://doi.org/10.1007/BF02353495 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_32 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4307 GBV_ILN_4316 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 AR 8 1974 4 10 297-302 |
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10.1007/BF02353495 doi (DE-627)OLC2074026471 (DE-He213)BF02353495-p DE-627 ger DE-627 rakwb eng 510 VZ Pnueli, D. verfasserin aut The reduction of one-dimensional eigenvalue problems to the solution of simultaneous algebraic equations with one nonlinearity 1974 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Noordhoff International Publishing 1974 Summary A method is developed to obtain numerically eigenvalues associated with ordinary differential equations and variational formulations. The numerical operation required is the solution of a set of linear algebraic equations, with one nonlinearity, i.e., the transcendental dependence on the eigenvalue. This operation is the same for all problems resulting from equations of the same order, and therefore can easily be programmed; the particulars of a specific problem are then just input for the program. Differential Equation Mathematical Modeling Ordinary Differential Equation Eigenvalue Problem Industrial Mathematic Isenberg, J. aut Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 8(1974), 4 vom: Okt., Seite 297-302 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:8 year:1974 number:4 month:10 pages:297-302 https://doi.org/10.1007/BF02353495 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_32 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4126 GBV_ILN_4307 GBV_ILN_4316 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 AR 8 1974 4 10 297-302 |
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the reduction of one-dimensional eigenvalue problems to the solution of simultaneous algebraic equations with one nonlinearity |
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The reduction of one-dimensional eigenvalue problems to the solution of simultaneous algebraic equations with one nonlinearity |
| abstract |
Summary A method is developed to obtain numerically eigenvalues associated with ordinary differential equations and variational formulations. The numerical operation required is the solution of a set of linear algebraic equations, with one nonlinearity, i.e., the transcendental dependence on the eigenvalue. This operation is the same for all problems resulting from equations of the same order, and therefore can easily be programmed; the particulars of a specific problem are then just input for the program. © Noordhoff International Publishing 1974 |
| abstractGer |
Summary A method is developed to obtain numerically eigenvalues associated with ordinary differential equations and variational formulations. The numerical operation required is the solution of a set of linear algebraic equations, with one nonlinearity, i.e., the transcendental dependence on the eigenvalue. This operation is the same for all problems resulting from equations of the same order, and therefore can easily be programmed; the particulars of a specific problem are then just input for the program. © Noordhoff International Publishing 1974 |
| abstract_unstemmed |
Summary A method is developed to obtain numerically eigenvalues associated with ordinary differential equations and variational formulations. The numerical operation required is the solution of a set of linear algebraic equations, with one nonlinearity, i.e., the transcendental dependence on the eigenvalue. This operation is the same for all problems resulting from equations of the same order, and therefore can easily be programmed; the particulars of a specific problem are then just input for the program. © Noordhoff International Publishing 1974 |
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The reduction of one-dimensional eigenvalue problems to the solution of simultaneous algebraic equations with one nonlinearity |
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https://doi.org/10.1007/BF02353495 |
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Isenberg, J. |
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Isenberg, J. |
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129595748 |
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10.1007/BF02353495 |
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2024-07-03T20:38:21.314Z |
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