Preface to Second Edition |
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vii | |
Preface |
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xi | |
1 Modelling Preliminaries |
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1 | (68) |
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1 | (1) |
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1.2 Introduction to Modelling |
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2 | (16) |
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1.2.1 Environmental issues |
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5 | (4) |
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1.2.2 The modelling process |
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9 | (4) |
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1.2.3 Engineering projects and consultancy |
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13 | (1) |
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1.2.4 Legal issues and public perception |
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14 | (4) |
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1.3 Mathematical Preliminaries |
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18 | (18) |
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18 | (7) |
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25 | (8) |
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33 | (3) |
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1.4 Statistical Preliminaries |
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36 | (31) |
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1.4.1 Maximum likelihood estimation |
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50 | (3) |
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53 | (6) |
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1.4.3 Principal component analysis |
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59 | (8) |
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67 | (2) |
2 Modelling Tools and Techniques |
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69 | (26) |
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69 | (2) |
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71 | (6) |
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77 | (4) |
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2.4 Measurement and Empirical Orthogonal Functions |
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81 | (2) |
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2.5 The Kalman Filter and Data Assimilation |
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83 | (4) |
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2.6 New Ideas on Modelling |
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87 | (5) |
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89 | (2) |
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91 | (1) |
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92 | (3) |
3 Mathematical Foundations |
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95 | (50) |
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95 | (1) |
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96 | (4) |
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3.3 The Shallow Water Equations |
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100 | (7) |
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104 | (3) |
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107 | (4) |
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111 | (2) |
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3.6 Simple Harmonic Motion |
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113 | (16) |
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3.6.1 Waves and Coriolis acceleration |
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115 | (8) |
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3.6.2 Energy of water waves |
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123 | (2) |
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3.6.3 Linear surface water waves |
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125 | (4) |
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3.7 Overall Energy Balance |
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129 | (2) |
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131 | (9) |
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3.8.1 Parameterising bottom friction |
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139 | (1) |
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140 | (5) |
4 Numerical Methods |
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145 | (42) |
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145 | (3) |
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148 | (5) |
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4.3 Errors and Instability |
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153 | (10) |
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163 | (6) |
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4.5 Advanced Finite Difference Methods |
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169 | (1) |
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4.6 Flux Corrected Transport |
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170 | (3) |
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4.7 Finite Volume Methods |
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173 | (4) |
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4.8 Finite Element Methods |
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177 | (3) |
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180 | (2) |
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182 | (1) |
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183 | (4) |
5 Applied Numerical Methods |
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187 | (50) |
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187 | (1) |
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5.2 Defining the Environment |
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187 | (5) |
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5.3 Finite Differences; the Arakawa Grids |
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192 | (5) |
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5.4 Boundary Conditions in Practice |
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197 | (19) |
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202 | (8) |
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210 | (3) |
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213 | (3) |
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5.4.4 The start condition |
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216 | (1) |
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5.5 Finite Element Schemes |
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216 | (13) |
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5.5.1 Rayleigh-Ritz method |
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220 | (2) |
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5.5.2 Galerkin weighted residual technique |
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222 | (3) |
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5.5.3 Finite element techniques in coastal sea modelling |
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225 | (4) |
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5.6 Computational Fluid Dynamics |
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229 | (2) |
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5.7 Practical Data Assimilation |
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231 | (3) |
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234 | (3) |
6 Tides, Surges and Tsunamis |
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237 | (48) |
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237 | (2) |
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6.2 The Equilibrium Theory of Tides |
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239 | (5) |
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244 | (6) |
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250 | (7) |
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254 | (3) |
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6.5 Numerical Models of Tides |
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257 | (5) |
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6.6 Wind Driven and Other Currents |
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262 | (8) |
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268 | (2) |
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6.7 Storm Surge Modelling |
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270 | (3) |
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273 | (4) |
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277 | (5) |
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282 | (3) |
7 Modelling Diffusion |
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285 | (48) |
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285 | (1) |
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7.2 The Process of Diffusion |
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286 | (21) |
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287 | (9) |
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296 | (3) |
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7.2.3 Homogeneous diffusion |
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299 | (6) |
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305 | (2) |
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307 | (1) |
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7.4 Case Studies in Diffusion |
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308 | (18) |
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7.4.1 A particle tracking model |
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309 | (3) |
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7.4.2 Modelling diffusion in the North Sea |
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312 | (4) |
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7.4.3 Modelling the motion of spilt oil |
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316 | (3) |
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7.4.4 Multi-phase oil spill modelling |
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319 | (1) |
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320 | (6) |
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326 | (4) |
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330 | (3) |
8 Shoreline Management |
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333 | (58) |
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333 | (2) |
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8.2 Applied Linear Wave Theory |
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335 | (8) |
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343 | (4) |
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347 | (25) |
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359 | (6) |
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8.4.2 Interactions and wider issues |
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365 | (7) |
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372 | (13) |
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373 | (3) |
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376 | (1) |
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8.5.3 Software for erosion modelling |
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377 | (8) |
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385 | (4) |
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389 | (2) |
9 Ecosystems and Other Biological Modelling |
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391 | (56) |
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391 | (1) |
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392 | (9) |
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9.3 Michaelis-Menten Relationship |
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401 | (4) |
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405 | (26) |
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9.4.1 Predator-prey ecosystems |
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407 | (2) |
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9.4.2 Simple ecosystems models |
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409 | (5) |
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9.4.3 Many variable ecosystem models |
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414 | (17) |
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431 | (6) |
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437 | (8) |
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445 | (1) |
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445 | (2) |
10 Climate Change and Large Scale Ocean Models |
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447 | (28) |
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447 | (6) |
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453 | (1) |
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454 | (3) |
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457 | (9) |
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10.5 Numerical Models with Adaptive Grids |
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466 | (6) |
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472 | (3) |
11 Estuarial Flow |
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475 | (26) |
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475 | (1) |
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11.2 Estuarial Circulation |
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475 | (6) |
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11.3 Other Models of Estuaries |
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481 | (3) |
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484 | (8) |
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11.5 Langmuir Circulation |
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492 | (4) |
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11.5.1 Models of Langmuir circulation |
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494 | (2) |
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11.6 The Firth of Forth and Forth Estuary, a Case Study |
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496 | (3) |
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499 | (2) |
12 Trapped Waves and Currents |
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501 | (32) |
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501 | (1) |
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12.2 Continental Shelf Waves |
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502 | (13) |
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12.3 Waves and Flows Around Islands |
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515 | (15) |
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525 | (5) |
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530 | (3) |
13 Conclusion |
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533 | (12) |
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533 | (1) |
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534 | (6) |
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540 | (2) |
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542 | (3) |
14 Answers to and Comments on the Exercises |
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545 | (32) |
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545 | (1) |
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546 | (1) |
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547 | (2) |
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549 | (4) |
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553 | (2) |
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555 | (3) |
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558 | (2) |
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560 | (3) |
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563 | (2) |
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565 | (3) |
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568 | (2) |
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570 | (4) |
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574 | (3) |
Bibliography |
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577 | (10) |
Index |
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587 | |