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Partial differential equations of applied mathematics / / Erich Zauderer
| Partial differential equations of applied mathematics / / Erich Zauderer |
| Autore | Zauderer Erich |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley Publishing, Inc., , 2006 |
| Descrizione fisica | 1 online resource (964 p.) |
| Disciplina |
515.353
515/.353 |
| Collana | Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts |
| Soggetto topico | Differential equations, Partial |
| ISBN |
1-283-33206-X
9786613332066 1-118-03330-2 1-118-03140-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Partial Differential Equations of Applied Mathematics; CONTENTS; Preface; 1 Random Walks and Partial Differential Equations; 1.1 The Diffusion Equation and Brownian Motion; Unrestricted Random Walks and their Limits; Brownian Motion; Restricted Random Walks and Their Limits; Fokker-Planck and Kolmogorov Equations; Properties of Partial Difference Equations and Related PDEs; Langevin Equation; Exercises 1.1; 1.2 The Telegrapher's Equation and Diffusion; Correlated Random Walks and Their Limits; Partial Difference Equations for Correlated Random Walks and Their Limits
Telegrapher's, Diffusion, and Wave EquationsPosition-Dependent Correlated Random Walks and Their Limits; Exercises 1.2; 1.3 Laplace's Equation and Green's Function; Time-Independent Random Walks and Their Limits; Green's Function; Mean First Passage Times and Poisson's Equation; Position-Dependent Random Walks and Their Limits; Properties of Partial Difference Equations and Related PDEs; Exercises 1.3; 1.4 Random Walks and First Order PDEs; Random Walks and Linear First Order PDEs: Constant Transition Probabilities; Random Walks and Linear First Order PDEs: Variable Transition Probabilities Random Walks and Nonlinear First Order PDEsExercises 1.4; 1.5 Simulation of Random Walks Using Maple; Unrestricted Random Walks; Restricted Random Walks; Correlated Random Walks; Time-Independent Random Walks; Random Walks with Variable Transition Probabilities; Exercises 1.5; 2 First Order Partial Differential Equations; 2.1 Introduction; Exercises 2.1; 2.2 Linear First Order Partial Differential Equations; Method of Characteristics; Examples; Generalized Solutions; Characteristic Initial Value Problems; Exercises 2.2; 2.3 Quasilinear First Order Partial Differential Equations Method of CharacteristicsWave Motion and Breaking; Unidirectional Nonlinear Wave Motion: An Example; Generalized Solutions and Shock Waves; Exercises 2.3; 2.4 Nonlinear First Order Partial Differential Equations; Method of Characteristics; Geometrical Optics: The Eiconal Equation; Exercises 2.4; 2.5 Maple Methods; Linear First Order Partial Differential Equations; Quasilinear First Order Partial Differential Equations; Nonlinear First Order Partial Differential Equations; Exercises 2.5; Appendix: Envelopes of Curves and Surfaces; 3 Classification of Equations and Characteristics 3.1 Linear Second Order Partial Differential EquationsCanonical Forms for Equations of Hyperbolic Type; Canonical Forms for Equations of Parabolic Type; Canonical Forms for Equations of Elliptic Type; Equations of Mixed Type; Exercises 3.1; 3.2 Characteristic Curves; First Order PDEs; Second Order PDEs; Exercises 3.2; 3.3 Classification of Equations in General; Classification of Second Order PDEs; Characteristic Surfaces for Second Order PDEs; First Order Systems of Linear PDEs: Classification and Characteristics; Systems of Hyperbolic Type; Higher-Order and Nonlinear PDEs Quasilinear First Order Systems and Normal Forms |
| Record Nr. | UNINA-9910141180703321 |
Zauderer Erich
|
||
| Hoboken, New Jersey : , : Wiley Publishing, Inc., , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Partial differential equations of applied mathematics / / Erich Zauderer
| Partial differential equations of applied mathematics / / Erich Zauderer |
| Autore | Zauderer Erich |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley Publishing, Inc., , 2006 |
| Descrizione fisica | 1 online resource (964 p.) |
| Disciplina |
515.353
515/.353 |
| Collana | Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts |
| Soggetto topico | Differential equations, Partial |
| ISBN |
1-283-33206-X
9786613332066 1-118-03330-2 1-118-03140-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Partial Differential Equations of Applied Mathematics; CONTENTS; Preface; 1 Random Walks and Partial Differential Equations; 1.1 The Diffusion Equation and Brownian Motion; Unrestricted Random Walks and their Limits; Brownian Motion; Restricted Random Walks and Their Limits; Fokker-Planck and Kolmogorov Equations; Properties of Partial Difference Equations and Related PDEs; Langevin Equation; Exercises 1.1; 1.2 The Telegrapher's Equation and Diffusion; Correlated Random Walks and Their Limits; Partial Difference Equations for Correlated Random Walks and Their Limits
Telegrapher's, Diffusion, and Wave EquationsPosition-Dependent Correlated Random Walks and Their Limits; Exercises 1.2; 1.3 Laplace's Equation and Green's Function; Time-Independent Random Walks and Their Limits; Green's Function; Mean First Passage Times and Poisson's Equation; Position-Dependent Random Walks and Their Limits; Properties of Partial Difference Equations and Related PDEs; Exercises 1.3; 1.4 Random Walks and First Order PDEs; Random Walks and Linear First Order PDEs: Constant Transition Probabilities; Random Walks and Linear First Order PDEs: Variable Transition Probabilities Random Walks and Nonlinear First Order PDEsExercises 1.4; 1.5 Simulation of Random Walks Using Maple; Unrestricted Random Walks; Restricted Random Walks; Correlated Random Walks; Time-Independent Random Walks; Random Walks with Variable Transition Probabilities; Exercises 1.5; 2 First Order Partial Differential Equations; 2.1 Introduction; Exercises 2.1; 2.2 Linear First Order Partial Differential Equations; Method of Characteristics; Examples; Generalized Solutions; Characteristic Initial Value Problems; Exercises 2.2; 2.3 Quasilinear First Order Partial Differential Equations Method of CharacteristicsWave Motion and Breaking; Unidirectional Nonlinear Wave Motion: An Example; Generalized Solutions and Shock Waves; Exercises 2.3; 2.4 Nonlinear First Order Partial Differential Equations; Method of Characteristics; Geometrical Optics: The Eiconal Equation; Exercises 2.4; 2.5 Maple Methods; Linear First Order Partial Differential Equations; Quasilinear First Order Partial Differential Equations; Nonlinear First Order Partial Differential Equations; Exercises 2.5; Appendix: Envelopes of Curves and Surfaces; 3 Classification of Equations and Characteristics 3.1 Linear Second Order Partial Differential EquationsCanonical Forms for Equations of Hyperbolic Type; Canonical Forms for Equations of Parabolic Type; Canonical Forms for Equations of Elliptic Type; Equations of Mixed Type; Exercises 3.1; 3.2 Characteristic Curves; First Order PDEs; Second Order PDEs; Exercises 3.2; 3.3 Classification of Equations in General; Classification of Second Order PDEs; Characteristic Surfaces for Second Order PDEs; First Order Systems of Linear PDEs: Classification and Characteristics; Systems of Hyperbolic Type; Higher-Order and Nonlinear PDEs Quasilinear First Order Systems and Normal Forms |
| Record Nr. | UNINA-9910830072903321 |
|
Zauderer Erich
|
||
| Hoboken, New Jersey : , : Wiley Publishing, Inc., , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||