M. P. Calvo

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All published works

Action	Title	Year	Authors
+	HMC: Reducing the number of rejections by not using leapfrog and some results on the acceptance rate	2021	M. P. Calvo Daniel Sanz-Alonso J. M. Sanz‐Serna
+ PDF Chat	Symmetrically Processed Splitting Integrators for Enhanced Hamiltonian Monte Carlo Sampling	2021	Sergio Blanes M. P. Calvo Fernando Casas J. M. Sanz‐Serna
+	Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling	2020	Sergio Blanes M. P. Calvo Fernando Casas J. M. Sanz‐Serna
+ PDF Chat	High-order stroboscopic averaging methods for highly oscillatory delay problems	2019	M. P. Calvo J. M. Sanz‐Serna Beibei Zhu
+	HMC: avoiding rejections by not using leapfrog and some results on the acceptance rate	2019	M. P. Calvo Daniel Sanz-Alonso J. M. Sanz‐Serna
+	High-order stroboscopic averaging methods for highly oscillatory delay problems	2018	M. P. Calvo J. M. Sanz‐Serna Beibei Zhu
+	Nyström Methods	2015	M. P. Calvo
+ PDF Chat	Numerical methods for non conservative perturbations of conservative problems	2014	M.P. Laburta J.I. Montijano L. Rández M. P. Calvo
+ PDF Chat	A Stroboscopic Numerical Method for Highly Oscillatory Problems	2011	M. P. Calvo Philippe Chartier Ander Murua J. M. Sanz‐Serna
+ PDF Chat	Numerical stroboscopic averaging for ODEs and DAEs	2011	M. P. Calvo Ph. Chartier Ander Murua J. M. Sanz‐Serna
+	Instabilities and Inaccuracies in the Integration of Highly Oscillatory Problems	2009	M. P. Calvo J. M. Sanz‐Serna
+	Runge–Kutta convolution quadrature methods for well-posed equations with memory	2007	M. P. Calvo Eduardo Cuesta C. Palencia
+	Variable step implementation of ETD methods for semilinear problems	2007	M. P. Calvo A.M. Portillo
+	BACKWARD EULER METHOD AS A POSITIVITY PRESERVING METHOD FOR ABSTRACT INTEGRAL EQUATIONS OF CONVOLUTION TYPE	2006	Eduardo Cuesta M. P. Calvo C. Palencia
+	A class of explicit multistep exponential integrators for semilinear problems	2005	M. P. Calvo C. Palencia
+	Linearly implicit Runge–Kutta methods and approximate matrix factorization	2004	M. P. Calvo Alf Gerisch
+	Are high order variable step equistage initializers better than standard starting algorithms?	2004	M. P. Calvo A.M. Portillo
+	None	2003	M. P. Calvo M.P. Laburta J.I. Montijano
+	An Efficient Way to Avoid the Order Reduction of Linearly Implicit Runge-Kutta Methods for Nonlinear IBVP’s	2003	M. P. Calvo Javier de Frutos Julia Novo
+	High order starting iterates for implicit Runge-Kutta methods: an improvement for variable-step symplectic integrators	2002	M. P. Calvo
+ PDF Chat	Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems	2001	M. P. Calvo C. Palencia
+	Linearly implicit Runge–Kutta methods for advection–reaction–diffusion equations	2001	M. P. Calvo Javier de Frutos Julia Novo
+	Algunos resultados sobre métodos de tipo Runge-Kutta	2001	M. P. Calvo
+	None	2001	M. P. Calvo Arieh Iserles Antonella Zanna
+	Conservative methods for the Toda lattice equations	1999	M. P. Calvo
+	Variable step implementation of geometric integrators	1998	M. P. Calvo M.A. López-Marcos J. M. Sanz‐Serna
+ PDF Chat	Numerical solution of isospectral flows	1997	M. P. Calvo Arieh Iserles Antonella Zanna
+	None	1997	M. P. Calvo Desmond J. Higham J.I. Montijano L. Rández
+	Runge-Kutta methods for orthogonal and isospectral flows	1996	M. P. Calvo Arieh Iserles Antonella Zanna
+	Accurate long-term integration of dynamical systems	1995	M. P. Calvo Ernst Hairer
+	Further reduction in the number of independent order conditions for symplectic, explicit Partitioned Runge-Kutta and Runge-Kutta-Nyström methods	1995	M. P. Calvo Ernst Hairer
+	Canonical B-series	1994	M. P. Calvo J. M. Sanz‐Serna
+	Numerical Hamiltonian Problems	1994	J. M. Sanz‐Serna M. P. Calvo
+	High-order methods	1994	J. M. Sanz‐Serna M. P. Calvo
+	Available symplectic methods	1994	J. M. Sanz‐Serna M. P. Calvo
+	Symplectic order conditions	1994	J. M. Sanz‐Serna M. P. Calvo
+	Properties of symplectic integrators	1994	J. M. Sanz‐Serna M. P. Calvo
+	Modified equations for ODEs	1994	M. P. Calvo Ander Murua J. M. Sanz‐Serna
+	High-Order Symplectic Runge–Kutta–Nyström Methods	1993	M. P. Calvo J. M. Sanz‐Serna
+	The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem	1993	M. P. Calvo J. M. Sanz‐Serna
+	SYMPLECTIC NUMERICAL METHODS FOR HAMILTONIAN PROBLEMS	1993	J. M. Sanz‐Serna M. P. Calvo
+	Order conditions for canonical Runge-Kutta-Nyström methods	1992	M. P. Calvo J. M. Sanz‐Serna

Common Coauthors

Coauthor	Papers Together
J. M. Sanz‐Serna	21
C. Palencia	4
Ander Murua	3
Arieh Iserles	3
J.I. Montijano	3
Antonella Zanna	3
Ernst Hairer	2
Javier de Frutos	2
Fernando Casas	2
Eduardo Cuesta	2
L. Rández	2
Beibei Zhu	2
Daniel Sanz-Alonso	2
M.P. Laburta	2
Julia Novo	2
Sergio Blanes	2
A.M. Portillo	2
Desmond J. Higham	1
M.A. López-Marcos	1
Ph. Chartier	1
Alf Gerisch	1
Philippe Chartier	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Numerical Hamiltonian Problems	1994	J. M. Sanz‐Serna M. P. Calvo	14
+	The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem	1993	M. P. Calvo J. M. Sanz‐Serna	10
+ PDF Chat	Solving ordinary differential equations I. nonstiff problems	1987	Ernst Hairer Syvert P. Nørsett Gerhard Wanner	9
+	Solving Ordinary Differential Equations II: Stiff and Differential - Algebraic Problems	1991	Ernst Hairer Gerhard Wanner	8
+	Geometric Numerical Integration	2002	Ernst Hairer Gerhard Wanner Christian Lubich	6
+ PDF Chat	Partitioned Runge-Kutta methods for separable Hamiltonian problems	1993	L.M. Abia J. M. Sanz‐Serna	5
+ PDF Chat	A multiscale method for highly oscillatory ordinary differential equations with resonance	2008	Gil Ariel Björn Engquist Richard Tzong‐Han Tsai	5
+ PDF Chat	Heterogeneous multiscale methods for stiff ordinary differential equations	2005	Björn Engquist Yen-Hsi Tsai	5
+	Solving Ordinary Differential Equations II	1996	Ernst Hairer Gerhard Wanner	5
+	Modulated Fourier expansions and heterogeneous multiscale methods	2008	J. M. Sanz‐Serna	5
+	Families of Runge-Kutta-Nystrom Formulae	1987	John R. Dormand Moawwad El-Mikkawy P.J. Prince	5
+ PDF Chat	Riemann Manifold Langevin and Hamiltonian Monte Carlo Methods	2011	Mark Girolami Ben Calderhead	4
+ PDF Chat	Scaling Limits for the Transient Phase of Local Metropolis–Hastings Algorithms	2005	Olé F. Christensen Gareth O. Roberts Jeffrey S. Rosenthal	4
+	The numerical analysis of ordinary differential equations	1987		4
+ PDF Chat	Multi-stage splitting integrators for sampling with modified Hamiltonian Monte Carlo methods	2018	Tijana Radivojević Mario Fernández-Pendás J. M. Sanz‐Serna Elena Akhmatskaya	4
+ PDF Chat	Geometric integrators and the Hamiltonian Monte Carlo method	2018	Nawaf Bou‐Rabee J. M. Sanz‐Serna	4
+ PDF Chat	Unitary Integrators and Applications to Continuous Orthonormalization Techniques	1994	Luca Dieci Robert D. Russell Erik S. Van Vleck	4
+ PDF Chat	Computationally efficient molecular dynamics integrators with improved sampling accuracy	2012	Cristian Predescu Ross A. Lippert Michael P. Eastwood Douglas J. Ierardi Huafeng Xu Morten Ø. Jensen K. J. Bowers Justin Gullingsrud Charles A. Rendleman Ron O. Dror	4
+	Order Conditions for Canonical Runge–Kutta Schemes	1991	J. M. Sanz‐Serna L.M. Abia	4
+ PDF Chat	Higher-Order Averaging, Formal Series and Numerical Integration I: B-series	2010	P. Chartier Ander Murua J. M. Sanz‐Serna	4
+	Variable time step integration with symplectic methods	1997	Ernst Hairer	4
+	Order conditions for canonical Runge-Kutta-Nyström methods	1992	M. P. Calvo J. M. Sanz‐Serna	4
+ PDF Chat	Palindromic 3-stage splitting integrators, a roadmap	2017	Cédric M. Campos J. M. Sanz‐Serna	4
+ PDF Chat	Analysis of the heterogeneous multiscale method for ordinary differential equations	2003	E Weinan	4
+ PDF Chat	Adaptive multi-stage integrators for optimal energy conservation in molecular simulations	2016	Mario Fernández-Pendás Elena Akhmatskaya J. M. Sanz‐Serna	4
+ PDF Chat	Numerical Integrators for the Hybrid Monte Carlo Method	2014	Sergio Blanes Fernando Casas J. M. Sanz‐Serna	4
+ PDF Chat	Backward Error Analysis for Numerical Integrators	1999	Sebastian Reich	4
+	Integrable Systems of Classical Mechanics and Lie Algebras	1990	A. M. Perelomov	3
+ PDF Chat	On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods	1995	Robert I. McLachlan	3
+	Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems	1993	Ernst Hairer Syvert P. Nørsett Gerhard Wanner	3
+ PDF Chat	Adaptive Splitting Integrators for Enhancing Sampling Efficiency of Modified Hamiltonian Monte Carlo Methods in Molecular Simulation	2017	Elena Akhmatskaya Mario Fernández-Pendás Tijana Radivojević J. M. Sanz‐Serna	3
+	Geometric Numerical Integration	2006	Ernst Hairer Marlis Hochbruck Arieh Iserles Christian Lubich	3
+	A family of embedded Runge-Kutta formulae	1980	John R. Dormand P.J. Prince	3
+	Starting algorithms for IRK methods	1997	M.P. Laburta	3
+	Splitting and composition methods in the numerical integration of differential equations	2008	Sergio Blanes Fernando Casas Ander Murua	3
+	An Explicit Runge–Kutta–Nyström Method is Canonical If and Only If Its Adjoint is Explicit	1992	Daniel Okunbor Robert D. Skeel	3
+	Runge-kutta schemes for Hamiltonian systems	1988	J. M. Sanz‐Serna	3
+	Semigroups of Linear Operators and Applications to Partial Differential Equations	1983	A. Pazy	3
+	Variable steps for reversible integration methods	1995	D. Stoffer	3
+	Spatial Point Processes	2011	Mark Huber	3
+	The Correct Formulation of Intermediate Boundary Conditions for Runge--Kutta Time Integration of Initial Boundary Value Problems	1997	D. Pathria	3
+	Explicit Symplectic Integrators Using Hessian--Vector Products	1997	M.A. López-Marcos J. M. Sanz‐Serna Robert D. Skeel	3
+ PDF Chat	Deciding the Nature of the Coarse Equation through Microscopic Simulations: The Baby-Bathwater Scheme	2007	Ju Li P. G. Kevrekidis C. W. Gear Ioannis G. Kevrekidis	3
+	Optimal tuning of the hybrid Monte Carlo algorithm	2013	Alexandros Beskos Natesh S. Pillai Gareth O. Roberts J. M. Sanz‐Serna Andrew M. Stuart	3
+	Error Growth in the Numerical Integration of Periodic Orbits, with Application to Hamiltonian and Reversible Systems	1997	B. Cano J. M. Sanz‐Serna	2
+	NUMERICAL HOMOCLINIC INSTABILITIES IN The SINE-GORDON EQUATION	1992	B. M. Herbst Mark J. Ablowitz	2
+	Formal series and numerical integrators, part I: Systems of ODEs and symplectic integrators	1999	Ander Murua	2
+ PDF Chat	Exponential Integrators for Large Systems of Differential Equations	1998	Marlis Hochbruck Christian Lubich Hubert Selhofer	2
+	Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations	2009	Ernst Hairer Christian Lubich Gerhard Wanner	2
+ PDF Chat	Shadow Hamiltonians, Poisson brackets, and gauge theories	2013	A.D. Kennedy Paulo J. Silva M. A. Clark	2