1<html> 2<head> 3<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> 4<title>All examples</title> 5<link rel="stylesheet" href="../../../../../../../doc/src/boostbook.css" type="text/css"> 6<meta name="generator" content="DocBook XSL Stylesheets V1.79.1"> 7<link rel="home" href="../../index.html" title="Chapter 1. Boost.Numeric.Odeint"> 8<link rel="up" href="../tutorial.html" title="Tutorial"> 9<link rel="prev" href="parallel_computation_with_openmp_and_mpi.html" title="Parallel computation with OpenMP and MPI"> 10<link rel="next" href="../odeint_in_detail.html" title="odeint in detail"> 11</head> 12<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> 13<table cellpadding="2" width="100%"><tr> 14<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../logo.jpg"></td> 15<td align="center"><a href="../../../../../../../index.html">Home</a></td> 16<td align="center"><a href="../../../../../../../libs/libraries.htm">Libraries</a></td> 17<td align="center"><a href="http://www.boost.org/users/people.html">People</a></td> 18<td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td> 19<td align="center"><a href="../../../../../../../more/index.htm">More</a></td> 20</tr></table> 21<hr> 22<div class="spirit-nav"> 23<a accesskey="p" href="parallel_computation_with_openmp_and_mpi.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../tutorial.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../odeint_in_detail.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a> 24</div> 25<div class="section"> 26<div class="titlepage"><div><div><h3 class="title"> 27<a name="boost_numeric_odeint.tutorial.all_examples"></a><a class="link" href="all_examples.html" title="All examples">All examples</a> 28</h3></div></div></div> 29<p> 30 The following table gives an overview over all examples. 31 </p> 32<div class="table"> 33<a name="boost_numeric_odeint.tutorial.all_examples.examples_overview"></a><p class="title"><b>Table 1.4. Examples Overview</b></p> 34<div class="table-contents"><table class="table" summary="Examples Overview"> 35<colgroup> 36<col> 37<col> 38</colgroup> 39<thead><tr> 40<th> 41 <p> 42 File 43 </p> 44 </th> 45<th> 46 <p> 47 Brief Description 48 </p> 49 </th> 50</tr></thead> 51<tbody> 52<tr> 53<td> 54 <p> 55 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/bind_member_functions.cpp" target="_top">bind_member_functions.cpp</a> 56 </p> 57 </td> 58<td> 59 <p> 60 This examples shows how member functions can be used as system 61 functions in odeint. 62 </p> 63 </td> 64</tr> 65<tr> 66<td> 67 <p> 68 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/bind_member_functions.cpp" target="_top">bind_member_functions_cpp11.cpp</a> 69 </p> 70 </td> 71<td> 72 <p> 73 This examples shows how member functions can be used as system 74 functions in odeint with <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">bind</span></code> 75 in C++11. 76 </p> 77 </td> 78</tr> 79<tr> 80<td> 81 <p> 82 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/bulirsch_stoer.cpp" target="_top">bulirsch_stoer.cpp</a> 83 </p> 84 </td> 85<td> 86 <p> 87 Shows the usage of the Bulirsch-Stoer method. 88 </p> 89 </td> 90</tr> 91<tr> 92<td> 93 <p> 94 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/chaotic_system.cpp" target="_top">chaotic_system.cpp</a> 95 </p> 96 </td> 97<td> 98 <p> 99 The chaotic system examples integrates the Lorenz system and calculates 100 the Lyapunov exponents. 101 </p> 102 </td> 103</tr> 104<tr> 105<td> 106 <p> 107 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/elliptic_functions.cpp" target="_top">elliptic_functions.cpp</a> 108 </p> 109 </td> 110<td> 111 <p> 112 Example calculating the elliptic functions using Bulirsch-Stoer 113 and Runge-Kutta-Dopri5 Steppers with dense output. 114 </p> 115 </td> 116</tr> 117<tr> 118<td> 119 <p> 120 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/fpu.cpp" target="_top">fpu.cpp</a> 121 </p> 122 </td> 123<td> 124 <p> 125 The Fermi-Pasta-Ulam (FPU) example shows how odeint can be used 126 to integrate lattice systems. 127 </p> 128 </td> 129</tr> 130<tr> 131<td> 132 <p> 133 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/generation_functions.cpp" target="_top">generation_functions.cpp</a> 134 </p> 135 </td> 136<td> 137 <p> 138 Shows skeletal code on how to implement own factory functions. 139 </p> 140 </td> 141</tr> 142<tr> 143<td> 144 <p> 145 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/harmonic_oscillator.cpp" target="_top">harmonic_oscillator.cpp</a> 146 </p> 147 </td> 148<td> 149 <p> 150 The harmonic oscillator examples gives a brief introduction to 151 odeint and shows the usage of the classical Runge-Kutta-solvers. 152 </p> 153 </td> 154</tr> 155<tr> 156<td> 157 <p> 158 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/harmonic_oscillator_units.cpp" target="_top">harmonic_oscillator_units.cpp</a> 159 </p> 160 </td> 161<td> 162 <p> 163 This examples shows how <a href="http://www.boost.org/doc/libs/release/libs/units/" target="_top">Boost.Units</a> 164 can be used with odeint. 165 </p> 166 </td> 167</tr> 168<tr> 169<td> 170 <p> 171 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/heun.cpp" target="_top">heun.cpp</a> 172 </p> 173 </td> 174<td> 175 <p> 176 The Heun example shows how an custom Runge-Kutta stepper can be 177 created with odeint generic Runge-Kutta method. 178 </p> 179 </td> 180</tr> 181<tr> 182<td> 183 <p> 184 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/list_lattice.cpp" target="_top">list_lattice.cpp</a> 185 </p> 186 </td> 187<td> 188 <p> 189 Example of a phase lattice integration using <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">list</span></code> 190 as state type. 191 </p> 192 </td> 193</tr> 194<tr> 195<td> 196 <p> 197 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/lorenz_point.cpp" target="_top">lorenz_point.cpp</a> 198 </p> 199 </td> 200<td> 201 <p> 202 Alternative way of integrating lorenz by using a self defined point3d 203 data type as state type. 204 </p> 205 </td> 206</tr> 207<tr> 208<td> 209 <p> 210 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/my_vector.cpp" target="_top">my_vector.cpp</a> 211 </p> 212 </td> 213<td> 214 <p> 215 Simple example showing how to get odeint to work with a self-defined 216 vector type. 217 </p> 218 </td> 219</tr> 220<tr> 221<td> 222 <p> 223 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/phase_oscillator_ensemble.cpp" target="_top">phase_oscillator_ensemble.cpp</a> 224 </p> 225 </td> 226<td> 227 <p> 228 The phase oscillator ensemble example shows how globally coupled 229 oscillators can be analyzed and how statistical measures can be 230 computed during integration. 231 </p> 232 </td> 233</tr> 234<tr> 235<td> 236 <p> 237 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/resizing_lattice.cpp" target="_top">resizing_lattice.cpp</a> 238 </p> 239 </td> 240<td> 241 <p> 242 Shows the strength of odeint's memory management by simulating 243 a Hamiltonian system on an expanding lattice. 244 </p> 245 </td> 246</tr> 247<tr> 248<td> 249 <p> 250 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/simple1d.cpp" target="_top">simple1d.cpp</a> 251 </p> 252 </td> 253<td> 254 <p> 255 Integrating a simple, one-dimensional ODE showing the usage of 256 integrate- and generate-functions. 257 </p> 258 </td> 259</tr> 260<tr> 261<td> 262 <p> 263 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/solar_system.cpp" target="_top">solar_system.cpp</a> 264 </p> 265 </td> 266<td> 267 <p> 268 The solar system example shows the usage of the symplectic solvers. 269 </p> 270 </td> 271</tr> 272<tr> 273<td> 274 <p> 275 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/stepper_details.cpp" target="_top">stepper_details.cpp</a> 276 </p> 277 </td> 278<td> 279 <p> 280 Trivial example showing the usability of the several stepper classes. 281 </p> 282 </td> 283</tr> 284<tr> 285<td> 286 <p> 287 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/stiff_system.cpp" target="_top">stiff_system.cpp</a> 288 </p> 289 </td> 290<td> 291 <p> 292 The stiff system example shows the usage of the stiff solvers using 293 the Jacobian of the system function. 294 </p> 295 </td> 296</tr> 297<tr> 298<td> 299 <p> 300 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/stochastic_euler.cpp" target="_top">stochastic_euler.cpp</a> 301 </p> 302 </td> 303<td> 304 <p> 305 Implementation of a custom stepper - the stochastic euler - for 306 solving stochastic differential equations. 307 </p> 308 </td> 309</tr> 310<tr> 311<td> 312 <p> 313 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/stuart_landau.cpp" target="_top">stuart_landau.cpp</a> 314 </p> 315 </td> 316<td> 317 <p> 318 The Stuart-Landau example shows how odeint can be used with complex 319 state types. 320 </p> 321 </td> 322</tr> 323<tr> 324<td> 325 <p> 326 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/two_dimensional_phase_lattice.cpp" target="_top">two_dimensional_phase_lattice.cpp</a> 327 </p> 328 </td> 329<td> 330 <p> 331 The 2D phase oscillator example shows how a two-dimensional lattice 332 works with odeint and how matrix types can be used as state types 333 in odeint. 334 </p> 335 </td> 336</tr> 337<tr> 338<td> 339 <p> 340 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/van_der_pol_stiff.cpp" target="_top">van_der_pol_stiff.cpp</a> 341 </p> 342 </td> 343<td> 344 <p> 345 This stiff system example again shows the usage of the stiff solvers 346 by integrating the van der Pol oscillator. 347 </p> 348 </td> 349</tr> 350<tr> 351<td> 352 <p> 353 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/gmpxx/lorenz_gmpxx.cpp" target="_top">gmpxx/lorenz_gmpxx.cpp</a> 354 </p> 355 </td> 356<td> 357 <p> 358 This examples integrates the Lorenz system by means of an arbitrary 359 precision type. 360 </p> 361 </td> 362</tr> 363<tr> 364<td> 365 <p> 366 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/mtl/gauss_packet.cpp" target="_top">mtl/gauss_packet.cpp</a> 367 </p> 368 </td> 369<td> 370 <p> 371 The MTL-Gauss-packet example shows how the MTL can be easily used 372 with odeint. 373 </p> 374 </td> 375</tr> 376<tr> 377<td> 378 <p> 379 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/mtl/implicit_euler_mtl.cpp" target="_top">mtl/implicit_euler_mtl.cpp</a> 380 </p> 381 </td> 382<td> 383 <p> 384 This examples shows the usage of the MTL implicit Euler method 385 with a sparse matrix type. 386 </p> 387 </td> 388</tr> 389<tr> 390<td> 391 <p> 392 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/thrust/phase_oscillator_ensemble.cu" target="_top">thrust/phase_oscillator_ensemble.cu</a> 393 </p> 394 </td> 395<td> 396 <p> 397 The Thrust phase oscillator ensemble example shows how globally 398 coupled oscillators can be analyzed with Thrust and CUDA, employing 399 the power of modern graphic devices. 400 </p> 401 </td> 402</tr> 403<tr> 404<td> 405 <p> 406 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/thrust/phase_oscillator_chain.cu" target="_top">thrust/phase_oscillator_chain.cu</a> 407 </p> 408 </td> 409<td> 410 <p> 411 The Thrust phase oscillator chain example shows how chains of nearest 412 neighbor coupled oscillators can be integrated with Thrust and 413 odeint. 414 </p> 415 </td> 416</tr> 417<tr> 418<td> 419 <p> 420 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/thrust/lorenz_parameters.cu" target="_top">thrust/lorenz_parameters.cu</a> 421 </p> 422 </td> 423<td> 424 <p> 425 The Lorenz parameters examples show how ensembles of ordinary differential 426 equations can be solved by means of Thrust to study the dependence 427 of an ODE on some parameters. 428 </p> 429 </td> 430</tr> 431<tr> 432<td> 433 <p> 434 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/thrust/relaxation.cu" target="_top">thrust/relaxation.cu</a> 435 </p> 436 </td> 437<td> 438 <p> 439 Another examples for the usage of Thrust. 440 </p> 441 </td> 442</tr> 443<tr> 444<td> 445 <p> 446 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/ublas/lorenz_ublas.cpp" target="_top">ublas/lorenz_ublas.cpp</a> 447 </p> 448 </td> 449<td> 450 <p> 451 This example shows how the ublas vector types can be used with 452 odeint. 453 </p> 454 </td> 455</tr> 456<tr> 457<td> 458 <p> 459 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/vexcl/lorenz_ensemble.cpp" target="_top">vexcl/lorenz_ensemble.cpp</a> 460 </p> 461 </td> 462<td> 463 <p> 464 This example shows how the VexCL - a framework for OpenCL computation 465 - can be used with odeint. 466 </p> 467 </td> 468</tr> 469<tr> 470<td> 471 <p> 472 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/openmp/lorenz_ensemble_simple.cpp" target="_top">openmp/lorenz_ensemble_simple.cpp</a> 473 </p> 474 </td> 475<td> 476 <p> 477 OpenMP Lorenz attractor parameter study with continuous data. 478 </p> 479 </td> 480</tr> 481<tr> 482<td> 483 <p> 484 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/openmp/lorenz_ensemble.cpp" target="_top">openmp/lorenz_ensemble.cpp</a> 485 </p> 486 </td> 487<td> 488 <p> 489 OpenMP Lorenz attractor parameter study with split data. 490 </p> 491 </td> 492</tr> 493<tr> 494<td> 495 <p> 496 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/openmp/lorenz_ensemble.cpp" target="_top">openmp/lorenz_ensemble_nested.cpp</a> 497 </p> 498 </td> 499<td> 500 <p> 501 OpenMP Lorenz attractor parameter study with nested <code class="computeroutput"><span class="identifier">vector_space_algebra</span></code>. 502 </p> 503 </td> 504</tr> 505<tr> 506<td> 507 <p> 508 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/openmp/phase_chain.cpp" target="_top">openmp/phase_chain.cpp</a> 509 </p> 510 </td> 511<td> 512 <p> 513 OpenMP nearest neighbour coupled phase chain with continuous state. 514 </p> 515 </td> 516</tr> 517<tr> 518<td> 519 <p> 520 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/openmp/phase_chain_omp_state.cpp" target="_top">openmp/phase_chain_omp_state.cpp</a> 521 </p> 522 </td> 523<td> 524 <p> 525 OpenMP nearest neighbour coupled phase chain with split state. 526 </p> 527 </td> 528</tr> 529<tr> 530<td> 531 <p> 532 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/mpi/phase_chain.cpp" target="_top">mpi/phase_chain.cpp</a> 533 </p> 534 </td> 535<td> 536 <p> 537 MPI nearest neighbour coupled phase chain. 538 </p> 539 </td> 540</tr> 541<tr> 542<td> 543 <p> 544 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/2d_lattice/spreading.cpp" target="_top">2d_lattice/spreading.cpp</a> 545 </p> 546 </td> 547<td> 548 <p> 549 This examples shows how a <code class="computeroutput"><span class="identifier">vector</span><span class="special"><</span> <span class="identifier">vector</span><span class="special"><</span> <span class="identifier">T</span> 550 <span class="special">></span> <span class="special">></span></code> 551 can be used a state type for odeint and how a resizing mechanism 552 of this state can be implemented. 553 </p> 554 </td> 555</tr> 556<tr> 557<td> 558 <p> 559 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/quadmath/black_hole.cpp" target="_top">quadmath/black_hole.cpp</a> 560 </p> 561 </td> 562<td> 563 <p> 564 This examples shows how gcc libquadmath can be used with odeint. 565 It provides a high precision floating point type which is adapted 566 to odeint in this example. 567 </p> 568 </td> 569</tr> 570<tr> 571<td> 572 <p> 573 <a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/molecular_dynamics.cpp" target="_top">molecular_dynamics.cpp</a> 574 </p> 575 </td> 576<td> 577 <p> 578 A very basic molecular dynamics simulation with the Velocity-Verlet 579 method. 580 </p> 581 </td> 582</tr> 583</tbody> 584</table></div> 585</div> 586<br class="table-break"> 587</div> 588<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> 589<td align="left"></td> 590<td align="right"><div class="copyright-footer">Copyright © 2009-2015 Karsten Ahnert and Mario Mulansky<p> 591 Distributed under the Boost Software License, Version 1.0. (See accompanying 592 file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>) 593 </p> 594</div></td> 595</tr></table> 596<hr> 597<div class="spirit-nav"> 598<a accesskey="p" href="parallel_computation_with_openmp_and_mpi.html"><img src="../../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../tutorial.html"><img src="../../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../odeint_in_detail.html"><img src="../../../../../../../doc/src/images/next.png" alt="Next"></a> 599</div> 600</body> 601</html> 602
