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Preface | ||
1 | Getting Started | 1 |
1.1 | Introduction | 1 |
1.2 | Existence, Uniqueness, and Well-Posedness | 6 |
1.3 | Standard Form | 19 |
1.4 | Control of the Error | 34 |
1.5 | Qualitative Properties | 34 |
2 | Initial Value Problems | 39 |
2.1 | Introduction | 39 |
2.2 | Numerical Methods for IVPs | 40 |
2.3 | Solving IVPs in Matlab | 81 |
3 | Boundary Value Problems | 133 |
3.1 | Introduction | 133 |
3.2 | Boundary Value Problem | 135 |
3.3 | Boundary Conditions | 138 |
3.4 | Numerical Methods for BVPs | 156 |
3.5 | Solving BVPs in Matlab | 168 |
4 | Delay Differential Equations | 213 |
4.1 | Introduction | 213 |
4.2 | Delay Differential Equations | 214 |
4.3 | Numerical Methods for DDEs | 217 |
4.4 | Solving DDEs in Matlab | 221 |
4.5 | Other Kinds of DDEs and Software | 247 |
Bibliography | 251 | |
Index | 257 |
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