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Jesús María Sanz-Serna
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- affiliation: Charles III University of Madrid, Department of Mathematics, Spain
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2020 – today
- 2024
- [j57]Lorenzo Nagar
, Mario Fernández-Pendás, Jesús María Sanz-Serna, Elena V. Akhmatskaya:
Adaptive multi-stage integration schemes for Hamiltonian Monte Carlo. J. Comput. Phys. 502: 112800 (2024) - [j56]Teresa Klatzer
Accelerated Bayesian Imaging by Relaxed Proximal-Point Langevin Sampling. SIAM J. Imaging Sci. 17(2): 1078-1117 (2024) - [i13]Mari Paz Calvo, Jesús María Sanz-Serna, Beibei Zhu:
Stroboscopic averaging methods to study autoresonance and other problems with slowly varying forcing frequencies. CoRR abs/2410.00696 (2024) - 2023
- [j55]Fernando Casas, Jesús María Sanz-Serna, Luke Shaw
A New Optimality Property of Strang's Splitting. SIAM J. Numer. Anal. 61(3): 1369-1385 (2023) - [i12]Paul Dobson, Jesús María Sanz-Serna, Konstantinos Zygalakis:
On the connections between optimization algorithms, Lyapunov functions, and differential equations: theory and insights. CoRR abs/2305.08658 (2023) - [i11]Lorenzo Nagar
Adaptive multi-stage integration schemes for Hamiltonian Monte Carlo. CoRR abs/2307.02096 (2023) - [i10]Teresa Klatzer, Paul Dobson, Yoann Altmann
Accelerated Bayesian imaging by relaxed proximal-point Langevin sampling. CoRR abs/2308.09460 (2023) - 2022
- [j54]Fernando Casas
Split Hamiltonian Monte Carlo revisited. Stat. Comput. 32(5): 86 (2022) - [j53]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 64(1): 1 (2022) - [j52]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 64(2): 227 (2022) - [j51]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 64(3): 515 (2022) - [j50]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 64(4): 761 (2022) - [i9]Fernando Casas, Jesús María Sanz-Serna, Luke Shaw:
A New Optimality Property of Strang's Splitting. CoRR abs/2210.07048 (2022) - 2021
- [j49]Mari Paz Calvo
HMC: Reducing the number of rejections by not using leapfrog and some results on the acceptance rate. J. Comput. Phys. 437: 110333 (2021) - [j48]Jesús María Sanz-Serna, Konstantinos C. Zygalakis:
Wasserstein distance estimates for the distributions of numerical approximations to ergodic stochastic differential equations. J. Mach. Learn. Res. 22: 242:1-242:37 (2021) - [j47]Jesús María Sanz-Serna, Konstantinos C. Zygalakis
The Connections Between Lyapunov Functions for Some Optimization Algorithms and Differential Equations. SIAM J. Numer. Anal. 59(3): 1542-1565 (2021) - [j46]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 63(1): 1 (2021) - [j45]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 63(2): 247 (2021) - [j44]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 63(3): 433 (2021) - [j43]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 63(4): 651 (2021) - [j42]Sergio Blanes, Mari Paz Calvo
Symmetrically Processed Splitting Integrators for Enhanced Hamiltonian Monte Carlo Sampling. SIAM J. Sci. Comput. 43(5): A3357-A3371 (2021) - [i8]Jesús María Sanz-Serna, Konstantinos C. Zygalakis:
Wasserstein distance estimates for the distributions of numerical approximations to ergodic stochastic differential equations. CoRR abs/2104.12384 (2021) - 2020
- [j41]Jesús María Sanz-Serna, Konstantinos C. Zygalakis
Contractivity of Runge-Kutta Methods for Convex Gradient Systems. SIAM J. Numer. Anal. 58(4): 2079-2092 (2020) - [j40]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 62(1): 1 (2020) - [j39]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 62(2): 299 (2020) - [j38]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 62(3): 527 (2020) - [j37]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 62(4): 741 (2020) - [i7]Jesús María Sanz-Serna, Konstantinos C. Zygalakis:
The connections between Lyapunov functions for some optimization algorithms and differential equations. CoRR abs/2009.00673 (2020) - [i6]Sergio Blanes, Mari Paz Calvo, Fernando Casas, Jesús María Sanz-Serna:
Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling. CoRR abs/2011.04401 (2020)
2010 – 2019
- 2019
- [j36]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 61(1): 1 (2019) - [j35]Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 61(2): 227 (2019) - [j34]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 61(3): 401 (2019) - [j33]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 61(4): 641 (2019) - [i5]Jesús María Sanz-Serna, Beibei Zhu:
Word-series high-order averaging of highly oscillatory differential equations with delay. CoRR abs/1906.06944 (2019) - [i4]Jesús María Sanz-Serna, Konstantinos C. Zygalakis:
Contractivity of Runge-Kutta methods for convex gradient systems. CoRR abs/1909.09971 (2019) - [i3]Mari Paz Calvo, Daniel Sanz-Alonso, Jesús María Sanz-Serna:
HMC: avoiding rejections by not using leapfrog and some results on the acceptance rate. CoRR abs/1912.03253 (2019) - 2018
- [j32]Nawaf Bou-Rabee
Geometric integrators and the Hamiltonian Monte Carlo method. Acta Numer. 27: 113-206 (2018) - [j31]Tijana Radivojevic
Multi-stage splitting integrators for sampling with modified Hamiltonian Monte Carlo methods. J. Comput. Phys. 373: 900-916 (2018) - [j30]Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 60(1): 1 (2018) - [j29]Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 60(2): 221 (2018) - [j28]Jesús María Sanz-Serna:
Survey and Review. SIAM Rev. 60(3): 489 (2018) - [j27]Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 60(4): 777 (2018) - [i2]Tijana Radivojevic, Mario Fernández-Pendás, Jesús María Sanz-Serna, Elena V. Akhmatskaya:
Multi-stage splitting integrators for sampling with modified Hamiltonian Monte Carlo methods. CoRR abs/1807.04131 (2018) - 2017
- [j26]Philippe Chartier, Ander Murua
Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case. Found. Comput. Math. 17(2): 625-626 (2017) - [j25]Ander Murua
Word Series for Dynamical Systems and Their Numerical Integrators. Found. Comput. Math. 17(3): 675-712 (2017) - [j24]Cédric M. Campos
Palindromic 3-stage splitting integrators, a roadmap. J. Comput. Phys. 346: 340-355 (2017) - [j23]Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 59(1): 1 (2017) - [j22]Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 59(2): 223 (2017) - [j21]Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 59(3): 467 (2017) - [j20]Jesús María Sanz-Serna
Survey and Review. SIAM Rev. 59(4): 701 (2017) - 2016
- [j19]Mario Fernández-Pendás, Elena V. Akhmatskaya
Adaptive multi-stage integrators for optimal energy conservation in molecular simulations. J. Comput. Phys. 327: 434-449 (2016) - [j18]Alfonso Álamo, Jesús María Sanz-Serna
A Technique for Studying Strong and Weak Local Errors of Splitting Stochastic Integrators. SIAM J. Numer. Anal. 54(6): 3239-3257 (2016) - [j17]Jesús María Sanz-Serna
Symplectic Runge-Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More. SIAM Rev. 58(1): 3-33 (2016) - 2015
- [j16]Philippe Chartier, Ander Murua
Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds. Found. Comput. Math. 15(2): 591-612 (2015) - [j15]Cédric M. Campos
Extra Chance Generalized Hybrid Monte Carlo. J. Comput. Phys. 281: 365-374 (2015) - [i1]Mario Fernández-Pendás, Elena V. Akhmatskaya, Jesús María Sanz-Serna:
Adaptive multi-stage integrators for optimal energy conservation in molecular simulations. CoRR abs/1512.03335 (2015) - 2014
- [j14]Sergio Blanes
Numerical Integrators for the Hybrid Monte Carlo Method. SIAM J. Sci. Comput. 36(4) (2014) - 2012
- [j13]Philippe Chartier, Ander Murua
Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case. Found. Comput. Math. 12(4): 471-508 (2012) - [j12]Gil Ariel, Jesús María Sanz-Serna
A Multiscale Technique for Finding Slow Manifolds of Stiff Mechanical Systems. Multiscale Model. Simul. 10(4): 1180-1203 (2012) - 2010
- [j11]Philippe Chartier, Ander Murua
Higher-Order Averaging, Formal Series and Numerical Integration I: B-series. Found. Comput. Math. 10(6): 695-727 (2010) - [j10]Mari Paz Calvo
Heterogeneous Multiscale Methods for Mechanical Systems with Vibrations. SIAM J. Sci. Comput. 32(4): 2029-2046 (2010)
2000 – 2009
- 2009
- [j9]Mari Paz Calvo
Instabilities and Inaccuracies in the Integration of Highly Oscillatory Problems. SIAM J. Sci. Comput. 31(3): 1653-1677 (2009) - 2008
- [j8]Jesús María Sanz-Serna
Mollified Impulse Methods for Highly Oscillatory Differential Equations. SIAM J. Numer. Anal. 46(2): 1040-1059 (2008)
1990 – 1999
- 1999
- [j7]Stig Larsson
A shadowing result with applications to finite element approximation of reaction-diffusion equations. Math. Comput. 68(225): 55-72 (1999) - 1998
- [j6]Bosco García-Archilla, Jesús María Sanz-Serna, Robert D. Skeel:
Long-Time-Step Methods for Oscillatory Differential Equations. SIAM J. Sci. Comput. 20(3): 930-963 (1998) - 1997
- [j5]Miguel Ángel López-Marcos, Jesús María Sanz-Serna, Robert D. Skeel:
Explicit Symplectic Integrators Using Hessian-Vector Products. SIAM J. Sci. Comput. 18(1): 223-238 (1997) - 1993
- [j4]Mari Paz Calvo
The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem. SIAM J. Sci. Comput. 14(4): 936-952 (1993) - [j3]Mari Paz Calvo
High-Order Symplectic Runge-Kutta-Nyström Methods. SIAM J. Sci. Comput. 14(5): 1237-1252 (1993) - 1990
- [j2]Luis M. Abia
The spectral accuracy of a fully-discrete scheme for a nonlinear third order equation. Computing 44(3): 187-196 (1990)
1980 – 1989
- 1989
- [c1]Jesús María Sanz-Serna, Jan G. Verwer:
Convergence analysis of one-step schemes in the method of lines. Conference on Numerical Ordinary Differential Equations 1989: 183-196 - 1984
- [j1]Jan G. Verwer, Jesús María Sanz-Serna
Convergence of method of lines approximations to partial differential equations. Computing 33(3-4): 297-313 (1984)
Coauthor Index
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