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Multiple Scale and Singular Perturbation Methods [[electronic resource] /] / by J.K. Kevorkian, J.D. Cole
| Multiple Scale and Singular Perturbation Methods [[electronic resource] /] / by J.K. Kevorkian, J.D. Cole |
| Autore | Kevorkian J.K |
| Edizione | [1st ed. 1996.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1996 |
| Descrizione fisica | 1 online resource (VIII, 634 p.) |
| Disciplina | 515 |
| Collana | Applied Mathematical Sciences |
| Soggetto topico |
Mathematical analysis
Analysis (Mathematics) Applied mathematics Engineering mathematics Physics Analysis Applications of Mathematics Mathematical Methods in Physics Numerical and Computational Physics, Simulation Mathematical and Computational Engineering |
| ISBN | 1-4612-3968-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 1.1. Order Symbols, Uniformity -- 1.2. Asymptotic Expansion of a Given Function -- 1.3. Regular Expansions for Ordinary and Partial Differential Equations -- References -- 2. Limit Process Expansions for Ordinary Differential Equations -- 2.1. The Linear Oscillator -- 2.2. Linear Singular Perturbation Problems with Variable Coefficients -- 2.3. Model Nonlinear Example for Singular Perturbations -- 2.4. Singular Boundary Problems -- 2.5. Higher-Order Example: Beam String -- References -- 3. Limit Process Expansions for Partial Differential Equations -- 3.1. Limit Process Expansions for Second-Order Partial Differential Equations -- 3.2. Boundary-Layer Theory in Viscous, Incompressible Flow -- 3.3. Singular Boundary Problems -- References -- 4. The Method of Multiple Scales for Ordinary Differential Equations -- 4.1. Method of Strained Coordinates for Periodic Solutions -- 4.2. Two Scale Expansions for the Weakly Nonlinear Autonomous Oscillator -- 4.3. Multiple-Scale Expansions for General Weakly Nonlinear Oscillators -- 4.4. Two-Scale Expansions for Strictly Nonlinear Oscillators -- 4.5. Multiple-Scale Expansions for Systems of First-Order Equations in Standard Form -- References -- 5. Near-Identity Averaging Transformations: Transient and Sustained Resonance -- 5.1. General Systems in Standard Form: Nonresonant Solutions -- 5.2. Hamiltonian System in Standard Form; Nonresonant Solutions -- 5.3. Order Reduction and Global Adiabatic Invariants for Solutions in Resonance -- 5.4. Prescribed Frequency Variations, Transient Resonance -- 5.5. Frequencies that Depend on the Actions, Transient or Sustained Resonance -- References -- 6. Multiple-Scale Expansions for Partial Differential Equations -- 6.1. Nearly Periodic Waves -- 6.2. Weakly Nonlinear Conservation Laws -- 6.3. Multiple-Scale Homogenization -- References. |
| Record Nr. | UNINA-9910480205503321 |
Kevorkian J.K
|
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Multiple Scale and Singular Perturbation Methods [[electronic resource] /] / by J.K. Kevorkian, J.D. Cole
| Multiple Scale and Singular Perturbation Methods [[electronic resource] /] / by J.K. Kevorkian, J.D. Cole |
| Autore | Kevorkian J.K |
| Edizione | [1st ed. 1996.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1996 |
| Descrizione fisica | 1 online resource (VIII, 634 p.) |
| Disciplina | 515 |
| Collana | Applied Mathematical Sciences |
| Soggetto topico |
Mathematical analysis
Analysis (Mathematics) Applied mathematics Engineering mathematics Physics Analysis Applications of Mathematics Mathematical Methods in Physics Numerical and Computational Physics, Simulation Mathematical and Computational Engineering |
| ISBN | 1-4612-3968-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 1.1. Order Symbols, Uniformity -- 1.2. Asymptotic Expansion of a Given Function -- 1.3. Regular Expansions for Ordinary and Partial Differential Equations -- References -- 2. Limit Process Expansions for Ordinary Differential Equations -- 2.1. The Linear Oscillator -- 2.2. Linear Singular Perturbation Problems with Variable Coefficients -- 2.3. Model Nonlinear Example for Singular Perturbations -- 2.4. Singular Boundary Problems -- 2.5. Higher-Order Example: Beam String -- References -- 3. Limit Process Expansions for Partial Differential Equations -- 3.1. Limit Process Expansions for Second-Order Partial Differential Equations -- 3.2. Boundary-Layer Theory in Viscous, Incompressible Flow -- 3.3. Singular Boundary Problems -- References -- 4. The Method of Multiple Scales for Ordinary Differential Equations -- 4.1. Method of Strained Coordinates for Periodic Solutions -- 4.2. Two Scale Expansions for the Weakly Nonlinear Autonomous Oscillator -- 4.3. Multiple-Scale Expansions for General Weakly Nonlinear Oscillators -- 4.4. Two-Scale Expansions for Strictly Nonlinear Oscillators -- 4.5. Multiple-Scale Expansions for Systems of First-Order Equations in Standard Form -- References -- 5. Near-Identity Averaging Transformations: Transient and Sustained Resonance -- 5.1. General Systems in Standard Form: Nonresonant Solutions -- 5.2. Hamiltonian System in Standard Form; Nonresonant Solutions -- 5.3. Order Reduction and Global Adiabatic Invariants for Solutions in Resonance -- 5.4. Prescribed Frequency Variations, Transient Resonance -- 5.5. Frequencies that Depend on the Actions, Transient or Sustained Resonance -- References -- 6. Multiple-Scale Expansions for Partial Differential Equations -- 6.1. Nearly Periodic Waves -- 6.2. Weakly Nonlinear Conservation Laws -- 6.3. Multiple-Scale Homogenization -- References. |
| Record Nr. | UNINA-9910789225303321 |
|
Kevorkian J.K
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Multiple Scale and Singular Perturbation Methods [[electronic resource] /] / by J.K. Kevorkian, J.D. Cole
| Multiple Scale and Singular Perturbation Methods [[electronic resource] /] / by J.K. Kevorkian, J.D. Cole |
| Autore | Kevorkian J.K |
| Edizione | [1st ed. 1996.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1996 |
| Descrizione fisica | 1 online resource (VIII, 634 p.) |
| Disciplina | 515 |
| Collana | Applied Mathematical Sciences |
| Soggetto topico |
Mathematical analysis
Analysis (Mathematics) Applied mathematics Engineering mathematics Physics Analysis Applications of Mathematics Mathematical Methods in Physics Numerical and Computational Physics, Simulation Mathematical and Computational Engineering |
| ISBN | 1-4612-3968-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 1.1. Order Symbols, Uniformity -- 1.2. Asymptotic Expansion of a Given Function -- 1.3. Regular Expansions for Ordinary and Partial Differential Equations -- References -- 2. Limit Process Expansions for Ordinary Differential Equations -- 2.1. The Linear Oscillator -- 2.2. Linear Singular Perturbation Problems with Variable Coefficients -- 2.3. Model Nonlinear Example for Singular Perturbations -- 2.4. Singular Boundary Problems -- 2.5. Higher-Order Example: Beam String -- References -- 3. Limit Process Expansions for Partial Differential Equations -- 3.1. Limit Process Expansions for Second-Order Partial Differential Equations -- 3.2. Boundary-Layer Theory in Viscous, Incompressible Flow -- 3.3. Singular Boundary Problems -- References -- 4. The Method of Multiple Scales for Ordinary Differential Equations -- 4.1. Method of Strained Coordinates for Periodic Solutions -- 4.2. Two Scale Expansions for the Weakly Nonlinear Autonomous Oscillator -- 4.3. Multiple-Scale Expansions for General Weakly Nonlinear Oscillators -- 4.4. Two-Scale Expansions for Strictly Nonlinear Oscillators -- 4.5. Multiple-Scale Expansions for Systems of First-Order Equations in Standard Form -- References -- 5. Near-Identity Averaging Transformations: Transient and Sustained Resonance -- 5.1. General Systems in Standard Form: Nonresonant Solutions -- 5.2. Hamiltonian System in Standard Form; Nonresonant Solutions -- 5.3. Order Reduction and Global Adiabatic Invariants for Solutions in Resonance -- 5.4. Prescribed Frequency Variations, Transient Resonance -- 5.5. Frequencies that Depend on the Actions, Transient or Sustained Resonance -- References -- 6. Multiple-Scale Expansions for Partial Differential Equations -- 6.1. Nearly Periodic Waves -- 6.2. Weakly Nonlinear Conservation Laws -- 6.3. Multiple-Scale Homogenization -- References. |
| Record Nr. | UNINA-9910817249203321 |
|
Kevorkian J.K
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Multiple scale and singular perturbation methods / J. Kevorkian, J. D. Cole
| Multiple scale and singular perturbation methods / J. Kevorkian, J. D. Cole |
| Autore | Kevorkian, J. |
| Pubbl/distr/stampa | New York : Springer, c1996 |
| Descrizione fisica | viii, 632 p. : ill. ; 25 cm |
| Disciplina | 515.35 |
| Altri autori (Persone) | Cole, Julian D. |
| Collana | Applied mathematical sciences, 0066-5452 ; 114 |
| Soggetto topico |
Differential equations - Numerical solutions
Differential equations - Asymptotic theory Perturbation (Mathematics) |
| ISBN | 0387942025 |
| Classificazione |
AMS 34E10
AMS 35B20 AMS 76B LC QA1.A647 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001407599707536 |
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Kevorkian, J.
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| New York : Springer, c1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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