Published May 17, 2017 | Version v1

MLMCLangevin code

  • 1. University of Bath

Description

Set of C++ classes for integrating the Langevin equation using Monte Carlo integrators with different time stepping methods. Both Standard Monte Carlo and more advanced Multilevel Monte Carlo methods are supported. The code can be used to solve several SDEs:

Simple test cases, such as propagation in a quadratic and quartic oscillator potential
Propagation of particles in a turbulent velocity field in the atmospheric boundary layer
For more details see https://bitbucket.org/em459/mlmclangevin

The code provided here can be used to reproduce the results in the paper "Multilevel Monte Carlo and Improved Time Stepping Methods in Atmospheric Modelling" by Grigoris Katsiolides, Eike Mueller, Robert Scheichl, Tony Shardlow and David Thomson. (tag 'JCPpaper_v2',  SHA  da54f9a in bitbucket repository)

Files

README.md

Files (249.5 kB)

Name Size Download all
md5:c41a807876cd9444d0fa1847a0175e5b
1.9 kB Download
md5:d32239bcb673463ab874e80d47fae504
35.1 kB Download
md5:d46cf3a00682e136016fc2ee3e3d37da
2.0 kB Download
md5:ddb16b106ebf5758685b00b1fe6b484c
4.3 kB Download
md5:daccc7186785867d8547ef7d437d062c
4.0 kB Download
md5:c61ec5ed6c7888037f459a79cf426d96
2.7 kB Download
md5:ee5730e8357b2f322c2b078e73c39a57
2.7 kB Download
md5:db9d11830e20bf4920a9c8a7c86b2d47
3.4 kB Download
md5:94aad99a6cf1acc420cfe2b83f361762
2.5 kB Download
md5:66868c44ac547e2edc609fffb58f9b29
2.1 kB Download
md5:1e5fd1e0c8ebab18e84e58434ff34d06
13.4 kB Download
md5:a3e8bfbe2c5df3b55d8cb4038e3b52ea
4.3 kB Download
md5:1570dddb9bb21bcc649562bb85970d1b
2.4 kB Download
md5:22fdddd52f5d7650b3aabf09ff9e7219
3.5 kB Download
md5:86cbb2cbdcffb5ddd81d6773f0f358d4
3.8 kB Download
md5:6d6541ecd015ac9fe260c73b5b1a23d1
7.5 kB Download
md5:8f1d6ea68c0dc6441961dfc3cfc68164
3.8 kB Download
md5:8e81514b8b06df7776c0ecd1e4e400e4
3.7 kB Download
md5:73538dd8f45fa017f2f397f7ea35f69d
2.5 kB Download
md5:f1b9ca2769f4bb8ec103f37f44d2e349
4.3 kB Download
md5:6bea04b2aa9137d6bc557a2659819767
6.1 kB Download
md5:74fd6540654569a65772522515511ce1
28.9 kB Download
md5:ad95824ef812c506c8448ac3ef993990
8.8 kB Download
md5:7a0885f8c3532691b31d79c265898cba
8.7 kB Download
md5:e0dc8815b9bee3e1a8b75e4641b7c31e
6.4 kB Download
md5:20be8cf3c4a2f8aed504fd1536eee22a
5.1 kB Download
md5:676153523f578bacf4f5d5aca7991f49
5.5 kB Download
md5:0b18d838fbd6795cae869a77a4a69971
10.8 kB Download
md5:66d9b04796451e2e78a89c3347025630
6.0 kB Preview Download
md5:2b73c3d7bcdd17231b30d3380267a4cc
1.7 kB Download
md5:66e8fba4a69ca690e9e4ac6d6a7873e8
2.8 kB Download
md5:aeafacc02b34184d2ae5473d9f4748d8
11.5 kB Download
md5:0e85b8d5f9a1cccf5f242847329916aa
2.1 kB Download
md5:3ae3d81a61d05fb070ce9ec8fb3ac804
2.2 kB Download
md5:b2ef10c82be26bbfabba0adf2ea69982
2.5 kB Download
md5:d2824206c5def74c3663065955545711
2.1 kB Download
md5:01de95a0f76900cfe27160724c8547a2
4.6 kB Download
md5:4fa28359e79a73af648b1a5cbcb19364
3.7 kB Download
md5:cb44ecc45defa7cf51e0f4f2015b9c0a
3.0 kB Download
md5:d23ec9a4ebfe1c92ff30da32888bcb47
2.2 kB Download
md5:8538d0df374bc6e521c7209d44a3dc57
4.0 kB Download
md5:d197b52f8bcdb454186befdba178e25e
2.3 kB Download
md5:3794341a6dc079cd3bf04ff10014d417
4.4 kB Download
md5:0a2f0f1f58f9fe20567840bc0cd1a91b
4.0 kB Download

Additional details

Related works

Is new version of
10.5281/zenodo.161664 (DOI)

References