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Bernal, F. & Acebrón, J. A. (2016). A comparison of higher-order weak numerical schemes for stopped stochastic differential equations. Communications in Computational Physics. 20 (3), 703-732
F. Bernal and J. A. Torres, "A comparison of higher-order weak numerical schemes for stopped stochastic differential equations", in Communications in Computational Physics, vol. 20, no. 3, pp. 703-732, 2016
@article{bernal2016_1714977323541, author = "Bernal, F. and Acebrón, J. A.", title = "A comparison of higher-order weak numerical schemes for stopped stochastic differential equations", journal = "Communications in Computational Physics", year = "2016", volume = "20", number = "3", doi = "10.4208/cicp.OA-2015-0016", pages = "703-732", url = "https://www.cambridge.org/core/journals/communications-in-computational-physics/article/a-comparison-of-higher-order-weak-numerical-schemes-for-stopped-stochastic-differential-equations/7A6AF2389FE62C7B41210EEF0765DF5E" }
TY - JOUR TI - A comparison of higher-order weak numerical schemes for stopped stochastic differential equations T2 - Communications in Computational Physics VL - 20 IS - 3 AU - Bernal, F. AU - Acebrón, J. A. PY - 2016 SP - 703-732 SN - 1815-2406 DO - 10.4208/cicp.OA-2015-0016 UR - https://www.cambridge.org/core/journals/communications-in-computational-physics/article/a-comparison-of-higher-order-weak-numerical-schemes-for-stopped-stochastic-differential-equations/7A6AF2389FE62C7B41210EEF0765DF5E AB - We review, implement, and compare numerical integration schemes for spatially bounded diffusions stopped at the boundary which possess a convergence rate of the discretization error with respect to the timestep h higher than O(root h). We address specific implementation issues of the most general-purpose of such schemes. They have been coded into a single Matlab program and compared, according to their accuracy and computational cost, on a wide range of problems in up to R-48. The paper is self-contained and the code will be made freely downloadable. ER -