A first course in the numerical analysis of differential equations / / Arieh Iserles [[electronic resource]] |
Autore | Iserles A. |
Edizione | [Second edition.] |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2009 |
Descrizione fisica | 1 online resource (xviii, 459 pages) : digital, PDF file(s) |
Disciplina | 518/.6 |
Collana | Cambridge texts in applied mathematics |
Soggetto topico | Differential equations - Numerical solutions |
ISBN |
9780511995569
0-511-99556-3 1-283-33039-3 9786613330390 1-139-13490-6 1-139-12986-4 1-139-13379-9 0-511-50423-3 0-511-50637-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface to the first edition; Preface to the second edition; Flowchart of contents; Part I. Ordinary differential equations: 1. Euler's method and beyond; 2. Multistep methods; 3. Runge-Kutta methods; 4. Stiff equations; 5. Geometric numerical integration; 6. Error control; 7. Nonlinear algebraic systems; Part II. The Poisson equation: 8. Finite difference schemes; 9. The finite element method; 10. Spectral methods; 11. Gaussian elimination for sparse linear equations; 12. Classical iterative methods for sparse linear equations; 13. Multigrid techniques; 14. Conjugate gradients; 15. Fast Poisson solvers; Part III. Partial differential equations of evolution: 16. The diffusion equation; 17. Hyperbolic equations; Appendix. Bluffer's guide to useful mathematics: A.1. Linear algebra; A.2. Analysis; Bibliography; Index. |
Record Nr. | UNINA-9910454254103321 |
Iserles A.
![]() |
||
Cambridge : , : Cambridge University Press, , 2009 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
A first course in the numerical analysis of differential equations / / Arieh Iserles [[electronic resource]] |
Autore | Iserles A. |
Edizione | [Second edition.] |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2009 |
Descrizione fisica | 1 online resource (xviii, 459 pages) : digital, PDF file(s) |
Disciplina | 518/.6 |
Collana | Cambridge texts in applied mathematics |
Soggetto topico | Differential equations - Numerical solutions |
Soggetto non controllato | numerisk analyse - differensialligninger |
ISBN |
9780511995569
0-511-99556-3 1-283-33039-3 9786613330390 1-139-13490-6 1-139-12986-4 1-139-13379-9 0-511-50423-3 0-511-50637-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface to the first edition; Preface to the second edition; Flowchart of contents; Part I. Ordinary differential equations: 1. Euler's method and beyond; 2. Multistep methods; 3. Runge-Kutta methods; 4. Stiff equations; 5. Geometric numerical integration; 6. Error control; 7. Nonlinear algebraic systems; Part II. The Poisson equation: 8. Finite difference schemes; 9. The finite element method; 10. Spectral methods; 11. Gaussian elimination for sparse linear equations; 12. Classical iterative methods for sparse linear equations; 13. Multigrid techniques; 14. Conjugate gradients; 15. Fast Poisson solvers; Part III. Partial differential equations of evolution: 16. The diffusion equation; 17. Hyperbolic equations; Appendix. Bluffer's guide to useful mathematics: A.1. Linear algebra; A.2. Analysis; Bibliography; Index. |
Record Nr. | UNINA-9910782614003321 |
Iserles A.
![]() |
||
Cambridge : , : Cambridge University Press, , 2009 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
A first course in the numerical analysis of differential equations / / Arieh Iserles |
Autore | Iserles A |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Cambridge ; ; New York, : Cambridge University Press, 2009 |
Descrizione fisica | 1 online resource (xviii, 459 pages) : digital, PDF file(s) |
Disciplina | 518/.6 |
Collana | Cambridge texts in applied mathematics |
Soggetto topico | Differential equations - Numerical solutions |
ISBN |
9780511995569
0-511-99556-3 1-283-33039-3 9786613330390 1-139-13490-6 1-139-12986-4 1-139-13379-9 0-511-50423-3 0-511-50637-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface to the first edition; Preface to the second edition; Flowchart of contents; Part I. Ordinary differential equations: 1. Euler's method and beyond; 2. Multistep methods; 3. Runge-Kutta methods; 4. Stiff equations; 5. Geometric numerical integration; 6. Error control; 7. Nonlinear algebraic systems; Part II. The Poisson equation: 8. Finite difference schemes; 9. The finite element method; 10. Spectral methods; 11. Gaussian elimination for sparse linear equations; 12. Classical iterative methods for sparse linear equations; 13. Multigrid techniques; 14. Conjugate gradients; 15. Fast Poisson solvers; Part III. Partial differential equations of evolution: 16. The diffusion equation; 17. Hyperbolic equations; Appendix. Bluffer's guide to useful mathematics: A.1. Linear algebra; A.2. Analysis; Bibliography; Index. |
Altri titoli varianti | Numerical analysis of differential equations |
Record Nr. | UNINA-9910816987203321 |
Iserles A
![]() |
||
Cambridge ; ; New York, : Cambridge University Press, 2009 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
An introduction to SAGE programming : with applications to SAGE interacts for numerical methods / / Razvan A. Mezei |
Autore | Mezei Razvan A. <1982-> |
Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2016 |
Descrizione fisica | 1 online resource (245 p.) |
Disciplina | 518/.6 |
Soggetto topico |
Mathematics - Data processing
Numerical analysis - Data processing Computer programming |
ISBN |
1-119-12280-5
1-119-12279-1 |
Classificazione | MAT034000 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Machine generated contents note: Preface vii 1. INTRODUCTION 1 1.1 What is Sage Math? 1 1.2 Various Flavors of Sage Math 1 1.2.1 Sage Math on your Machine 1 1.2.2 Sage Cell 2 1.2.3 Sage Cloud 2 2. USING SAGE MATH AS A CALCULATOR 5 2.1 First Sage Math Examples 5 2.2 Computations 6 2.2.1 Basic Arithmetic Operators 6 2.2.2 Decimals vs Exact Values 10 2.2.3 Constants 11 2.2.4 Breaking Long Lines of Code 12 2.2.5 Comments 13 2.2.6 Library Functions 14 2.2.7 Working with Strings 17 2.2.8 Solving equations and inequalities 19 2.2.9 Calculus Functions 21 2.2.10 Exercises 25 2.3 Graphs 28 2.3.1 2D Graphs 28 2.3.2 3D Graphs 53 2.3.3 Exercises 54 3. INTRODUCTION TO PROGRAMMING IN SAGE 57 3.1 Variables 58 3.1.1 Exercises 61 3.2 More on Operators 61 3.2.1 Exercises 63 3.3 Making Decisions 64 3.3.1 Boolean Expressions 64 3.3.2 If statements 66 3.3.3 Exercises 73 3.4 Loops 75 3.4.1 For loops 75 3.4.2 Strings 82 3.4.3 While loops 84 3.4.4 Nested loops 88 3.4.5 Lists 91 3.4.6 Exercises 96 3.5 Functions 99 3.5.1 Using library functions. Random, Scipy, Numpy 104 3.5.2 Exercises 105 3.6 Interacts 107 3.6.1 Exercises 123 3.7 Application to Data Security: Caesar's Cipher. Interacts, strings, and encryption 125 3.7.1 Exercises 127 3.8 Application to Business: Present Value of an Annuity. Amortization127 3.8.1 Exercises 133 3.9 Application to Elementary Statistics. Mean, Median, Histograms, and Bar Charts. 134 3.9.1 Exercises 142 4. SAGE INTERACTS FOR NUMERICAL METHODS 143 4.1 Equations of Lines 143 4.1.1 Exercises 145 4.2 Tangent Lines and Plots 145 4.2.1 Exercises 149 4.3 Taylor Polynomials 149 4.3.1 Exercises 155 4.4 Riemann Sum and De nite Integrals 156 4.4.1 Exercises 162 4.5 Trapezoidal Rule for Numerical Integration 162 4.5.1 Exercises 170 4.6 Bisection Algorithm for Solving Equations 170 4.6.1 Exercises 179 4.7 Newton-Raphson Algorithm for Solving Equations 179 4.7.1 Exercises 191 4.8 Polynomial Interpolation 192 4.8.1 Exercises 198 4.9 Linear Spline Interpolation 198 4.9.1 Exercises 202 4.10 Cubic Spline Interpolation 203 4.10.1 Exercises 212 4.11 SAGE for solving Differential Equations 212 4.12 Numerical Methods for Ordinary Differential Equations 215 4.12.1 Exercises 221 4.13 Numerical Methods for Partial Di¤erential Equations 222 4.13.1 Exercises 227 4.14 Scatter plots. Line of Best Fit and More 228 4.14.1 Exercises 236 4.15 Matrices, Eigenvalues, and Eigenvectors 236 4.15.1 Exercises 243 4.16 Solving Matrix Equations 243 4.16.1 Exercises 245 Bibliography 247 Index 249 . |
Record Nr. | UNINA-9910137424103321 |
Mezei Razvan A. <1982->
![]() |
||
Hoboken, New Jersey : , : Wiley, , 2016 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
An introduction to SAGE programming : with applications to SAGE interacts for numerical methods / / Razvan A. Mezei |
Autore | Mezei Razvan A. <1982-> |
Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2016 |
Descrizione fisica | 1 online resource (245 p.) |
Disciplina | 518/.6 |
Soggetto topico |
Mathematics - Data processing
Numerical analysis - Data processing Computer programming |
ISBN |
1-119-12280-5
1-119-12279-1 |
Classificazione | MAT034000 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Machine generated contents note: Preface vii 1. INTRODUCTION 1 1.1 What is Sage Math? 1 1.2 Various Flavors of Sage Math 1 1.2.1 Sage Math on your Machine 1 1.2.2 Sage Cell 2 1.2.3 Sage Cloud 2 2. USING SAGE MATH AS A CALCULATOR 5 2.1 First Sage Math Examples 5 2.2 Computations 6 2.2.1 Basic Arithmetic Operators 6 2.2.2 Decimals vs Exact Values 10 2.2.3 Constants 11 2.2.4 Breaking Long Lines of Code 12 2.2.5 Comments 13 2.2.6 Library Functions 14 2.2.7 Working with Strings 17 2.2.8 Solving equations and inequalities 19 2.2.9 Calculus Functions 21 2.2.10 Exercises 25 2.3 Graphs 28 2.3.1 2D Graphs 28 2.3.2 3D Graphs 53 2.3.3 Exercises 54 3. INTRODUCTION TO PROGRAMMING IN SAGE 57 3.1 Variables 58 3.1.1 Exercises 61 3.2 More on Operators 61 3.2.1 Exercises 63 3.3 Making Decisions 64 3.3.1 Boolean Expressions 64 3.3.2 If statements 66 3.3.3 Exercises 73 3.4 Loops 75 3.4.1 For loops 75 3.4.2 Strings 82 3.4.3 While loops 84 3.4.4 Nested loops 88 3.4.5 Lists 91 3.4.6 Exercises 96 3.5 Functions 99 3.5.1 Using library functions. Random, Scipy, Numpy 104 3.5.2 Exercises 105 3.6 Interacts 107 3.6.1 Exercises 123 3.7 Application to Data Security: Caesar's Cipher. Interacts, strings, and encryption 125 3.7.1 Exercises 127 3.8 Application to Business: Present Value of an Annuity. Amortization127 3.8.1 Exercises 133 3.9 Application to Elementary Statistics. Mean, Median, Histograms, and Bar Charts. 134 3.9.1 Exercises 142 4. SAGE INTERACTS FOR NUMERICAL METHODS 143 4.1 Equations of Lines 143 4.1.1 Exercises 145 4.2 Tangent Lines and Plots 145 4.2.1 Exercises 149 4.3 Taylor Polynomials 149 4.3.1 Exercises 155 4.4 Riemann Sum and De nite Integrals 156 4.4.1 Exercises 162 4.5 Trapezoidal Rule for Numerical Integration 162 4.5.1 Exercises 170 4.6 Bisection Algorithm for Solving Equations 170 4.6.1 Exercises 179 4.7 Newton-Raphson Algorithm for Solving Equations 179 4.7.1 Exercises 191 4.8 Polynomial Interpolation 192 4.8.1 Exercises 198 4.9 Linear Spline Interpolation 198 4.9.1 Exercises 202 4.10 Cubic Spline Interpolation 203 4.10.1 Exercises 212 4.11 SAGE for solving Differential Equations 212 4.12 Numerical Methods for Ordinary Differential Equations 215 4.12.1 Exercises 221 4.13 Numerical Methods for Partial Di¤erential Equations 222 4.13.1 Exercises 227 4.14 Scatter plots. Line of Best Fit and More 228 4.14.1 Exercises 236 4.15 Matrices, Eigenvalues, and Eigenvectors 236 4.15.1 Exercises 243 4.16 Solving Matrix Equations 243 4.16.1 Exercises 245 Bibliography 247 Index 249 . |
Record Nr. | UNINA-9910828587203321 |
Mezei Razvan A. <1982->
![]() |
||
Hoboken, New Jersey : , : Wiley, , 2016 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Numerische Mathematik . 2 : gewöhnliche Differentialgleichungen / / Peter Deuflhard, Folkmar Bornemann |
Autore | Deuflhard P (Peter) |
Edizione | [4. Auflage.] |
Pubbl/distr/stampa | Berlin : , : De Gruyter, , [2013] |
Descrizione fisica | 1 online resource (512 p.) |
Disciplina | 518/.6 |
Altri autori (Persone) | BornemannFolkmar <1967-> |
Collana |
De Gruyter Studium
De Gruyter Studium |
Soggetto topico | Differential equations - Numerical solutions |
Soggetto genere / forma | Electronic books. |
ISBN | 3-11-031636-6 |
Classificazione | SK 900 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ger |
Nota di contenuto | Frontmatter -- Vorwort -- Inhaltsverzeichnis -- Überblick -- 1 Zeitabhängige Prozesse in Natur und Technik -- 2 Existenz und Eindeutigkeit bei Anfangswertproblemen -- 3 Kondition von Anfangswertproblemen -- 4 Einschrittverfahren für nichtsteife Anfangswertprobleme -- 5 Adaptive Steuerung von Einschrittverfahren -- 6 Einschrittverfahren für steife und differentiell-algebraische Anfangswertprobleme -- 7 Mehrschrittverfahren für Anfangswertprobleme -- 8 Randwertprobleme bei gewöhnlichen Differentialgleichungen -- Software -- Literatur -- Index |
Record Nr. | UNINA-9910453300803321 |
Deuflhard P (Peter)
![]() |
||
Berlin : , : De Gruyter, , [2013] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Numerische Mathematik . 2 : gewöhnliche Differentialgleichungen / / Peter Deuflhard, Folkmar Bornemann |
Autore | Deuflhard P (Peter) |
Edizione | [4. Auflage.] |
Pubbl/distr/stampa | Berlin : , : De Gruyter, , [2013] |
Descrizione fisica | 1 online resource (512 p.) |
Disciplina | 518/.6 |
Altri autori (Persone) | BornemannFolkmar <1967-> |
Collana |
De Gruyter Studium
De Gruyter Studium |
Soggetto topico | Differential equations - Numerical solutions |
Soggetto non controllato |
Boundary Value Problem
Differential Equation Initial Value Problem Numerical Method |
ISBN | 3-11-031636-6 |
Classificazione | SK 900 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ger |
Nota di contenuto | Frontmatter -- Vorwort -- Inhaltsverzeichnis -- Überblick -- 1 Zeitabhängige Prozesse in Natur und Technik -- 2 Existenz und Eindeutigkeit bei Anfangswertproblemen -- 3 Kondition von Anfangswertproblemen -- 4 Einschrittverfahren für nichtsteife Anfangswertprobleme -- 5 Adaptive Steuerung von Einschrittverfahren -- 6 Einschrittverfahren für steife und differentiell-algebraische Anfangswertprobleme -- 7 Mehrschrittverfahren für Anfangswertprobleme -- 8 Randwertprobleme bei gewöhnlichen Differentialgleichungen -- Software -- Literatur -- Index |
Record Nr. | UNINA-9910790873803321 |
Deuflhard P (Peter)
![]() |
||
Berlin : , : De Gruyter, , [2013] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Numerische Mathematik . 2 : gewöhnliche Differentialgleichungen / / Peter Deuflhard, Folkmar Bornemann |
Autore | Deuflhard P (Peter) |
Edizione | [4. Auflage.] |
Pubbl/distr/stampa | Berlin : , : De Gruyter, , [2013] |
Descrizione fisica | 1 online resource (512 p.) |
Disciplina | 518/.6 |
Altri autori (Persone) | BornemannFolkmar <1967-> |
Collana |
De Gruyter Studium
De Gruyter Studium |
Soggetto topico | Differential equations - Numerical solutions |
Soggetto non controllato |
Boundary Value Problem
Differential Equation Initial Value Problem Numerical Method |
ISBN | 3-11-031636-6 |
Classificazione | SK 900 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ger |
Nota di contenuto | Frontmatter -- Vorwort -- Inhaltsverzeichnis -- Überblick -- 1 Zeitabhängige Prozesse in Natur und Technik -- 2 Existenz und Eindeutigkeit bei Anfangswertproblemen -- 3 Kondition von Anfangswertproblemen -- 4 Einschrittverfahren für nichtsteife Anfangswertprobleme -- 5 Adaptive Steuerung von Einschrittverfahren -- 6 Einschrittverfahren für steife und differentiell-algebraische Anfangswertprobleme -- 7 Mehrschrittverfahren für Anfangswertprobleme -- 8 Randwertprobleme bei gewöhnlichen Differentialgleichungen -- Software -- Literatur -- Index |
Record Nr. | UNINA-9910822812903321 |
Deuflhard P (Peter)
![]() |
||
Berlin : , : De Gruyter, , [2013] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
The Painlevé handbook [[electronic resource] /] / Robert Conte, Micheline Musette |
Autore | Conte Robert <1943-> |
Edizione | [1st ed. 2008.] |
Pubbl/distr/stampa | Dordrecht, : Springer, c2008 |
Descrizione fisica | 1 online resource (273 p.) |
Disciplina |
515.352
518/.6 |
Altri autori (Persone) | MusetteMicheline |
Soggetto topico |
Painlevé equations
Mathematical physics |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-91343-X
9786611913434 1-4020-8491-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction; Singularity Analysis: Painlevé Test; Integrating Ordinary Differential Equations; Partial Differential Equations: Paielevé Test; From the Test to Explicit Solutions of PDEs; Integration of Hamiltonian Systems; Discrete Nonlinear Equations; FAQ (Frequently Asked Questions) |
Record Nr. | UNINA-9910453268303321 |
Conte Robert <1943->
![]() |
||
Dordrecht, : Springer, c2008 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
The Painlevé handbook [[electronic resource] /] / Robert Conte, Micheline Musette |
Autore | Conte Robert <1943-> |
Edizione | [1st ed. 2008.] |
Pubbl/distr/stampa | Dordrecht, : Springer, c2008 |
Descrizione fisica | 1 online resource (273 p.) |
Disciplina |
515.352
518/.6 |
Altri autori (Persone) | MusetteMicheline |
Soggetto topico |
Painlevé equations
Mathematical physics |
ISBN |
1-281-91343-X
9786611913434 1-4020-8491-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction; Singularity Analysis: Painlevé Test; Integrating Ordinary Differential Equations; Partial Differential Equations: Paielevé Test; From the Test to Explicit Solutions of PDEs; Integration of Hamiltonian Systems; Discrete Nonlinear Equations; FAQ (Frequently Asked Questions) |
Record Nr. | UNINA-9910782360803321 |
Conte Robert <1943->
![]() |
||
Dordrecht, : Springer, c2008 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|