Edit Profile (opens in new tab) Calvo, Manuel Co-Author Distance Author ID: calvo.manuel Published as: Calvo, M.; Calvo, Manuel; Calvo Pinilla, M.; Pinilla, Manuel Calvo; Calvo, Manual; Pinilla, M. more...less External Links: dblp Documents Indexed: 98 Publications since 1971, including 1 Additional arXiv Preprint Software Indexed: 1 Package Reviewing Activity: 339 Reviews Co-Authors: 29 Co-Authors with 88 Joint Publications 456 Co-Co-Authors all top 5 Co-Authors 9 single-authored 65 Montijano, Juan Ignacio 58 Rández, Luis 14 Laburta, María Pilar 10 Franco, J. Méndez 6 Elipe, Antonio 6 Lisbona Cortés, Francisco Javier 5 González-Pinto, Severiano 4 Cid, Rafael 3 Grande, T. 3 Van Daele, Marnix 2 Correas, José Manuel 2 Grigorieff, Rolf Dieter 2 Higham, Desmond J. 2 Jay, Laurent-Olivier 2 Quemada, M. Mar 1 Badal, José 1 Brugnano, Luigi 1 Camarena, Vicente 1 Cid Palacios, Rafael 1 Franco Garcí, José Maria 1 Fu, Lin 1 Hernandez-Abreu, Domingo 1 Laburta, P. 1 Larrea, Rodolfo 1 Montijano Torcal, J. I. 1 Podhaisky, Helmut 1 Saenz-de-la-Torre, A. 1 Söderlind, Gustaf 1 Vigo-Aguiar, Jesus all top 5 Serials 14 Journal of Computational and Applied Mathematics 8 Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. Serie 2 6 BIT 6 Celestial Mechanics and Dynamical Astronomy 5 Advances in Computational Mathematics 4 Numerische Mathematik 4 Numerical Algorithms 3 Computers & Mathematics with Applications 3 Computer Physics Communications 3 Applied Numerical Mathematics 2 Journal of Computational Physics 2 SIAM Journal on Numerical Analysis 2 Journal of Scientific Computing 2 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Astronomy and Astrophysics 1 General Relativity and Gravitation 1 IMA Journal of Numerical Analysis 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Computation 1 Mathematics and Computers in Simulation 1 Revista de la Academia Canaria de Ciencias 1 Celestial Mechanics 1 SIAM Journal on Scientific Computing 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 S\(\vec{\text{e}}\)MA Journal 1 Applied Mathematics and Nonlinear Sciences all top 5 Fields 80 Numerical analysis (65-XX) 45 Ordinary differential equations (34-XX) 21 Mechanics of particles and systems (70-XX) 15 Dynamical systems and ergodic theory (37-XX) 4 Fluid mechanics (76-XX) 2 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 64 Publications have been cited 818 times in 406 Documents Cited by ▼ Year ▼ Structure preservation of exponentially fitted Runge-Kutta methods. Zbl 1154.65341 Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. 76 2008 Sixth-order symmetric and symplectic exponentially fitted Runge-Kutta methods of the Gauss type. Zbl 1153.65119 Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. 71 2009 Sixth-order symmetric and symplectic exponentially fitted modified Runge-Kutta methods of Gauss type. Zbl 1196.70007 Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. 63 2008 Symmetric and symplectic exponentially fitted Runge-Kutta methods of high order. Zbl 1219.65148 Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. 60 2010 On high order symmetric and symplectic trigonometrically fitted Runge-Kutta methods with an even number of stages. Zbl 1187.65076 Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. 55 2010 On some new low storage implementations of time advancing Runge-Kutta methods. Zbl 1245.65092 Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. 52 2012 On the preservation of invariants by explicit Runge-Kutta methods. Zbl 1118.65085 Calvo, M.; Hernández-Abreu, D.; Montijano, J. I.; Rández, L. 45 2006 Energy-preserving methods for Poisson systems. Zbl 1247.65092 Brugnano, L.; Calvo, M.; Montijano, J. I.; Rández, L. 36 2012 Explicit Runge-Kutta methods for initial value problems with oscillating solutions. Zbl 0871.65073 Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. 19 1996 A new minimum storage Runge-Kutta scheme for computational acoustics. Zbl 1059.65061 Calvo, M.; Franco, J. M.; Rández, L. 19 2004 Projection methods preserving Lyapunov functions. Zbl 1194.65090 Calvo, M.; Laburta, M. P.; Montijano, J. I.; Rández, L. 19 2010 A fifth-order interpolant for the Dormand and Prince Runge-Kutta method. Zbl 0687.65078 Calvo, M.; Montijano, J. I.; Randez, L. 16 1990 Stepsize selection for tolerance proportionality in explicit Runge-Kutta codes. Zbl 0891.65097 Calvo, M.; Higham, D. J.; Montijano, J. I.; Rández, L. 15 1997 On the asymptotic stability of \(\theta\)-methods for delay differential equations. Zbl 0631.65076 Calvo, M.; Grande, T. 13 1988 Minimum storage Runge-Kutta schemes for computational acoustics. Zbl 1036.65059 Calvo, M.; Franco, J. M.; Rández, L. 12 2003 Stiffness 1952–2012: sixty years in search of a definition. Zbl 1317.65154 Söderlind, Gustaf; Jay, Laurent; Calvo, Manuel 12 2015 A new embedded pair of Runge-Kutta formulas of orders 5 and 6. Zbl 0712.65070 Calvo, M.; Montijano, J. I.; Randez, L. 11 1990 On the zero stability of the variable order variable stepsize BDF- formulas. Zbl 0696.65077 Calvo, M.; Grande, T.; Grigorieff, R. D. 11 1990 Runge-Kutta projection methods with low dispersion and dissipation errors. Zbl 1308.65115 Calvo, M.; Laburta, M. P.; Montijano, J. I.; Rández, L. 11 2015 A note on the stability of time-accurate and highly-stable explicit operators for stiff differential equations. Zbl 07513858 Calvo, M.; Montijano, J. I.; Rández, L. 10 2021 On the stability of variable-stepsize Nordsieck BDF methods. Zbl 0644.65042 Calvo, M.; Lisbona, F.; Montijano, J. 9 1987 Runge-Kutta methods for the numerical solution of stiff semilinear systems. Zbl 0980.65069 Calvo, M.; González-Pinto, S.; Montijano, J. I. 9 2000 On the change of step size in multistep codes. Zbl 0779.65055 Calvo, M.; Montijano, J. I.; Rández, L. 9 1993 On the derivation of explicit two-step peer methods. Zbl 1215.65120 Calvo, M.; Montijano, J. I.; Rández, L.; Van Daele, M. 9 2011 Global error estimation with adaptive explicit Runge-Kutta methods. Zbl 0840.65087 Calvo, M.; Higham, D. J.; Montijano, J. I.; Rández, L. 8 1996 A\(_ 0\)-stability of variable stepsize BDF methods. Zbl 0789.65064 Calvo, M.; Montijano, J. I.; Rández, L. 8 1993 Error growth in the numerical integration of periodic orbits. Zbl 1231.65129 Calvo, M.; Laburta, M. P.; Montijano, J. I.; Rández, L. 8 2011 Approximate compositions of a near identity map by multi-revolution Runge-Kutta methods. Zbl 1067.65067 Calvo, Manuel; Jay, Laurent O.; Montijano, Juan I.; Rández, Luis 8 2004 On the stability of rational Runge Kutta methods. Zbl 0495.65032 Calvo, M.; Mar Quemada, M. 7 1982 Time discretisation of parabolic problems with the variable 3-step BDF. Zbl 1014.65086 Calvo, M.; Grigorieff, R. D. 7 2002 Algorithm 968: DISODE45: a Matlab Runge-Kutta solver for piecewise smooth IVPs of Filippov type. Zbl 1396.65111 Calvo, Manuel; Montijano, Juan I.; Rández, Luis 7 2017 Global error estimation based on the tolerance proportionality for some adaptive Runge-Kutta codes. Zbl 1149.65052 Calvo, M.; González-Pinto, S.; Montijano, J. I. 7 2008 Numerical methods for non conservative perturbations of conservative problems. Zbl 1348.70004 Laburta, M. P.; Montijano, J. I.; Rández, L.; Calvo, M. 6 2015 On explicit multi-revolution Runge-Kutta schemes. Zbl 1115.65081 Calvo, M.; Montijano, J. I.; Rández, L. 6 2007 Two-step high order starting values for implicit Runge–Kutta methods. Zbl 1024.65055 Calvo, M.; Laburta, M. P.; Montijano, J. I. 5 2003 On the solution of discontinuous IVPs by adaptive Runge–Kutta codes. Zbl 1030.65082 Calvo, M.; Montijano, J. I.; Rández, L. 5 2003 Singly TASE operators for the numerical solution of stiff differential equations by explicit Runge-Kutta schemes. Zbl 07708318 Calvo, Manuel; Fu, Lin; Montijano, Juan I.; Rández, Luis 5 2023 Approximate preservation of quadratic first integrals by explicit Runge-Kutta methods. Zbl 1187.65077 Calvo, M.; Laburta, M. P.; Montijano, J. I.; Rández, L. 5 2010 Optimal starters for solving the elliptic Kepler’s equation. Zbl 1266.70006 Calvo, M.; Elipe, A.; Montijano, J. I.; Rández, L. 5 2013 A new stepsize change technique for Adams methods. Zbl 1378.65144 Calvo, M.; Montijano, J. I.; Rández, L. 5 2016 On the convergence of Runge-Kutta methods for stiff nonlinear differential equations. Zbl 0921.65051 Calvo, M.; Gonzalez-Pinto, S.; Montijano, J. I. 4 1998 Starting algorithms for Gauss Runge-Kutta methods for Hamiltonian systems. Zbl 1035.65154 Calvo, M.; Laburta, M. P.; Montijano, J. I. 4 2003 Functionally fitted explicit two step peer methods. Zbl 1326.65090 Montijano, J. I.; Rández, L.; van Daele, M.; Calvo, M. 4 2015 A note on the step size selection in Adams multistep methods. Zbl 0991.65070 Calvo, Manuel; Vigo-Aguiar, Jesús 3 2001 On the numerical integration of orthogonal flows with Runge-Kutta methods. Zbl 0947.65134 Calvo, M.; Laburta, M. P.; Montijano, J. I.; Rández, L. 3 2000 The numerical solution of discontinuous IVPs by Runge-Kutta codes: a review. Zbl 1242.65139 Calvo, Manual; Montijano, Juan I.; Rández, Luis 3 2008 A family of \(L\)-stable singly implicit peer methods for solving stiff IVPs. Zbl 07074123 Montijano, J. I.; Podhaisky, H.; Rández, L.; Calvo, M. 3 2019 Initializers for RK-Gauss methods based on pseudo-symplecticity. Zbl 1120.65128 Calvo, M.; Laburta, M. P.; Montijano, J. I. 3 2006 On the long time error of first integrals for some RK numerical integrators. Zbl 1191.65167 Calvo, M.; Montijano, J. I.; Laburta, M. P.; Rández, L. 3 2009 Convergence of starters for solving Kepler’s equation via Smale’s \(\alpha \)-test. Zbl 1374.70023 Calvo, M.; Elipe, A.; Montijano, J. I.; Rández, L. 3 2017 New continuous extensions for the Dormand and Prince RK method. Zbl 0767.65059 Calvo, M.; Montijano, J. I.; Rández, L. 2 1992 On the iterative solution of the algebraic equations in fully implicit Runge–Kutta methods. Zbl 0947.65084 Calvo, M.; González-Pinto, S.; Montijano, J. I. 2 2000 A polyvalent Runge-Kutta triple. Zbl 0818.65066 Calvo, M.; Montijano, J. I.; Rández, L. 2 1994 On the stability of interpolatory variable-stepsize Adams methods in Nordsieck form. Zbl 0681.65062 Calvo, M.; Lisbona, F.; Montijano, J. 2 1989 Explicit two-step peer methods with reused stages. Zbl 07763849 Calvo, M.; Montijano, J. I.; Rández, L.; Saenz-de-la-Torre, A. 2 2024 A monotonic starter for solving the hyperbolic Kepler equation by Newton’s method. Zbl 1451.70010 Calvo, M.; Elipe, A.; Montijano, J. I.; Rández, L. 2 2019 Invariance in von Zeipel method. Zbl 0313.70012 Cid, Rafael; Calvo, Manuel; Correas, Jose M. 2 1975 A family of multirevolution Runge-Kutta explicit methods of order five. (Una familia de métodos multi-revolución Runge-Kutta explicitos de orden cinco.) Zbl 1071.65103 Calvo, M.; Montijano, J. I.; Rández, L. 1 2003 On the existence of solution of stage equations in implicit Runge-Kutta methods. Zbl 0942.65076 Calvo, M.; Montijano, J. I.; Gonzalez-Pinto, S. 1 1999 Orthogonal Runge-Kutta methods. Zbl 0993.65079 Calvo, M.; Laburta, M. P.; Montijano, J. I.; Rández, L. 1 2001 Constructive characterization of Runge-Kutta methods that satisfy the M-condition. Zbl 1401.65074 Calvo, M.; Montijano, J. I.; Rández, L. 1 2017 On the integral solution of elliptic Kepler’s equation. Zbl 1523.70001 Calvo, M.; Elipe, A.; Rández, L. 1 2023 Explicit Runge-Kutta methods for the numerical solution of linear inhomogeneous IVPs. Zbl 1522.65126 Montijano, J. I.; Rández, L.; Calvo, M. 1 2023 An analysis of the convergence of Newton iterations for solving elliptic Kepler’s equation. Zbl 1379.70034 Elipe, A.; Montijano, J. I.; Rández, L.; Calvo, M. 1 2017 Explicit two-step peer methods with reused stages. Zbl 07763849 Calvo, M.; Montijano, J. I.; Rández, L.; Saenz-de-la-Torre, A. 2 2024 Singly TASE operators for the numerical solution of stiff differential equations by explicit Runge-Kutta schemes. Zbl 07708318 Calvo, Manuel; Fu, Lin; Montijano, Juan I.; Rández, Luis 5 2023 On the integral solution of elliptic Kepler’s equation. Zbl 1523.70001 Calvo, M.; Elipe, A.; Rández, L. 1 2023 Explicit Runge-Kutta methods for the numerical solution of linear inhomogeneous IVPs. Zbl 1522.65126 Montijano, J. I.; Rández, L.; Calvo, M. 1 2023 A note on the stability of time-accurate and highly-stable explicit operators for stiff differential equations. Zbl 07513858 Calvo, M.; Montijano, J. I.; Rández, L. 10 2021 A family of \(L\)-stable singly implicit peer methods for solving stiff IVPs. Zbl 07074123 Montijano, J. I.; Podhaisky, H.; Rández, L.; Calvo, M. 3 2019 A monotonic starter for solving the hyperbolic Kepler equation by Newton’s method. Zbl 1451.70010 Calvo, M.; Elipe, A.; Montijano, J. I.; Rández, L. 2 2019 Algorithm 968: DISODE45: a Matlab Runge-Kutta solver for piecewise smooth IVPs of Filippov type. Zbl 1396.65111 Calvo, Manuel; Montijano, Juan I.; Rández, Luis 7 2017 Convergence of starters for solving Kepler’s equation via Smale’s \(\alpha \)-test. Zbl 1374.70023 Calvo, M.; Elipe, A.; Montijano, J. I.; Rández, L. 3 2017 Constructive characterization of Runge-Kutta methods that satisfy the M-condition. Zbl 1401.65074 Calvo, M.; Montijano, J. I.; Rández, L. 1 2017 An analysis of the convergence of Newton iterations for solving elliptic Kepler’s equation. Zbl 1379.70034 Elipe, A.; Montijano, J. I.; Rández, L.; Calvo, M. 1 2017 A new stepsize change technique for Adams methods. Zbl 1378.65144 Calvo, M.; Montijano, J. I.; Rández, L. 5 2016 Stiffness 1952–2012: sixty years in search of a definition. Zbl 1317.65154 Söderlind, Gustaf; Jay, Laurent; Calvo, Manuel 12 2015 Runge-Kutta projection methods with low dispersion and dissipation errors. Zbl 1308.65115 Calvo, M.; Laburta, M. P.; Montijano, J. I.; Rández, L. 11 2015 Numerical methods for non conservative perturbations of conservative problems. Zbl 1348.70004 Laburta, M. P.; Montijano, J. I.; Rández, L.; Calvo, M. 6 2015 Functionally fitted explicit two step peer methods. Zbl 1326.65090 Montijano, J. I.; Rández, L.; van Daele, M.; Calvo, M. 4 2015 Optimal starters for solving the elliptic Kepler’s equation. Zbl 1266.70006 Calvo, M.; Elipe, A.; Montijano, J. I.; Rández, L. 5 2013 On some new low storage implementations of time advancing Runge-Kutta methods. Zbl 1245.65092 Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. 52 2012 Energy-preserving methods for Poisson systems. Zbl 1247.65092 Brugnano, L.; Calvo, M.; Montijano, J. I.; Rández, L. 36 2012 On the derivation of explicit two-step peer methods. Zbl 1215.65120 Calvo, M.; Montijano, J. I.; Rández, L.; Van Daele, M. 9 2011 Error growth in the numerical integration of periodic orbits. Zbl 1231.65129 Calvo, M.; Laburta, M. P.; Montijano, J. I.; Rández, L. 8 2011 Symmetric and symplectic exponentially fitted Runge-Kutta methods of high order. Zbl 1219.65148 Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. 60 2010 On high order symmetric and symplectic trigonometrically fitted Runge-Kutta methods with an even number of stages. Zbl 1187.65076 Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. 55 2010 Projection methods preserving Lyapunov functions. Zbl 1194.65090 Calvo, M.; Laburta, M. P.; Montijano, J. I.; Rández, L. 19 2010 Approximate preservation of quadratic first integrals by explicit Runge-Kutta methods. Zbl 1187.65077 Calvo, M.; Laburta, M. P.; Montijano, J. I.; Rández, L. 5 2010 Sixth-order symmetric and symplectic exponentially fitted Runge-Kutta methods of the Gauss type. Zbl 1153.65119 Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. 71 2009 On the long time error of first integrals for some RK numerical integrators. Zbl 1191.65167 Calvo, M.; Montijano, J. I.; Laburta, M. P.; Rández, L. 3 2009 Structure preservation of exponentially fitted Runge-Kutta methods. Zbl 1154.65341 Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. 76 2008 Sixth-order symmetric and symplectic exponentially fitted modified Runge-Kutta methods of Gauss type. Zbl 1196.70007 Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. 63 2008 Global error estimation based on the tolerance proportionality for some adaptive Runge-Kutta codes. Zbl 1149.65052 Calvo, M.; González-Pinto, S.; Montijano, J. I. 7 2008 The numerical solution of discontinuous IVPs by Runge-Kutta codes: a review. Zbl 1242.65139 Calvo, Manual; Montijano, Juan I.; Rández, Luis 3 2008 On explicit multi-revolution Runge-Kutta schemes. Zbl 1115.65081 Calvo, M.; Montijano, J. I.; Rández, L. 6 2007 On the preservation of invariants by explicit Runge-Kutta methods. Zbl 1118.65085 Calvo, M.; Hernández-Abreu, D.; Montijano, J. I.; Rández, L. 45 2006 Initializers for RK-Gauss methods based on pseudo-symplecticity. Zbl 1120.65128 Calvo, M.; Laburta, M. P.; Montijano, J. I. 3 2006 A new minimum storage Runge-Kutta scheme for computational acoustics. Zbl 1059.65061 Calvo, M.; Franco, J. M.; Rández, L. 19 2004 Approximate compositions of a near identity map by multi-revolution Runge-Kutta methods. Zbl 1067.65067 Calvo, Manuel; Jay, Laurent O.; Montijano, Juan I.; Rández, Luis 8 2004 Minimum storage Runge-Kutta schemes for computational acoustics. Zbl 1036.65059 Calvo, M.; Franco, J. M.; Rández, L. 12 2003 Two-step high order starting values for implicit Runge–Kutta methods. Zbl 1024.65055 Calvo, M.; Laburta, M. P.; Montijano, J. I. 5 2003 On the solution of discontinuous IVPs by adaptive Runge–Kutta codes. Zbl 1030.65082 Calvo, M.; Montijano, J. I.; Rández, L. 5 2003 Starting algorithms for Gauss Runge-Kutta methods for Hamiltonian systems. Zbl 1035.65154 Calvo, M.; Laburta, M. P.; Montijano, J. I. 4 2003 A family of multirevolution Runge-Kutta explicit methods of order five. (Una familia de métodos multi-revolución Runge-Kutta explicitos de orden cinco.) Zbl 1071.65103 Calvo, M.; Montijano, J. I.; Rández, L. 1 2003 Time discretisation of parabolic problems with the variable 3-step BDF. Zbl 1014.65086 Calvo, M.; Grigorieff, R. D. 7 2002 A note on the step size selection in Adams multistep methods. Zbl 0991.65070 Calvo, Manuel; Vigo-Aguiar, Jesús 3 2001 Orthogonal Runge-Kutta methods. Zbl 0993.65079 Calvo, M.; Laburta, M. P.; Montijano, J. I.; Rández, L. 1 2001 Runge-Kutta methods for the numerical solution of stiff semilinear systems. Zbl 0980.65069 Calvo, M.; González-Pinto, S.; Montijano, J. I. 9 2000 On the numerical integration of orthogonal flows with Runge-Kutta methods. Zbl 0947.65134 Calvo, M.; Laburta, M. P.; Montijano, J. I.; Rández, L. 3 2000 On the iterative solution of the algebraic equations in fully implicit Runge–Kutta methods. Zbl 0947.65084 Calvo, M.; González-Pinto, S.; Montijano, J. I. 2 2000 On the existence of solution of stage equations in implicit Runge-Kutta methods. Zbl 0942.65076 Calvo, M.; Montijano, J. I.; Gonzalez-Pinto, S. 1 1999 On the convergence of Runge-Kutta methods for stiff nonlinear differential equations. Zbl 0921.65051 Calvo, M.; Gonzalez-Pinto, S.; Montijano, J. I. 4 1998 Stepsize selection for tolerance proportionality in explicit Runge-Kutta codes. Zbl 0891.65097 Calvo, M.; Higham, D. J.; Montijano, J. I.; Rández, L. 15 1997 Explicit Runge-Kutta methods for initial value problems with oscillating solutions. Zbl 0871.65073 Calvo, M.; Franco, J. M.; Montijano, J. I.; Rández, L. 19 1996 Global error estimation with adaptive explicit Runge-Kutta methods. Zbl 0840.65087 Calvo, M.; Higham, D. J.; Montijano, J. I.; Rández, L. 8 1996 A polyvalent Runge-Kutta triple. Zbl 0818.65066 Calvo, M.; Montijano, J. I.; Rández, L. 2 1994 On the change of step size in multistep codes. Zbl 0779.65055 Calvo, M.; Montijano, J. I.; Rández, L. 9 1993 A\(_ 0\)-stability of variable stepsize BDF methods. Zbl 0789.65064 Calvo, M.; Montijano, J. I.; Rández, L. 8 1993 New continuous extensions for the Dormand and Prince RK method. Zbl 0767.65059 Calvo, M.; Montijano, J. I.; Rández, L. 2 1992 A fifth-order interpolant for the Dormand and Prince Runge-Kutta method. Zbl 0687.65078 Calvo, M.; Montijano, J. I.; Randez, L. 16 1990 A new embedded pair of Runge-Kutta formulas of orders 5 and 6. Zbl 0712.65070 Calvo, M.; Montijano, J. I.; Randez, L. 11 1990 On the zero stability of the variable order variable stepsize BDF- formulas. Zbl 0696.65077 Calvo, M.; Grande, T.; Grigorieff, R. D. 11 1990 On the stability of interpolatory variable-stepsize Adams methods in Nordsieck form. Zbl 0681.65062 Calvo, M.; Lisbona, F.; Montijano, J. 2 1989 On the asymptotic stability of \(\theta\)-methods for delay differential equations. Zbl 0631.65076 Calvo, M.; Grande, T. 13 1988 On the stability of variable-stepsize Nordsieck BDF methods. Zbl 0644.65042 Calvo, M.; Lisbona, F.; Montijano, J. 9 1987 On the stability of rational Runge Kutta methods. Zbl 0495.65032 Calvo, M.; Mar Quemada, M. 7 1982 Invariance in von Zeipel method. Zbl 0313.70012 Cid, Rafael; Calvo, Manuel; Correas, Jose M. 2 1975 all cited Publications top 5 cited Publications all top 5 Cited by 479 Authors 51 Simos, Theodore E. 39 Rández, Luis 32 Calvo, Manuel 32 Montijano, Juan Ignacio 20 Lin, Chialiang 18 Brugnano, Luigi 13 Franco, J. Méndez 13 Iavernaro, Felice 11 Ketcheson, David I. 11 Medvedeva, Marina A. 11 Paternoster, Beatrice 11 Ramos, Higinio 10 Weiner, Rüdiger 9 Conte, Dajana 9 Kulikov, Gennady Yur’evich 8 González-Pinto, Severiano 8 Wang, Yushun 8 Wu, Xinyuan 7 Gong, Yuezheng 7 Higueras, Inmaculada 7 Medvedev, Maxim A. 7 Pagano, Giovanni 7 Ranocha, Hendrik 6 Laburta, María Pilar 6 Roldán, Teo 6 Tsitouras, Charalampos 5 Corless, Robert Malcolm 5 D’Ambrosio, Raffaele 5 Elipe, Antonio 5 Hong, Qi 5 Li, Dongfang 5 Pérez Rodríguez, S. 5 Qian, Xu 5 Song, Songhe 5 Sun, Bin 5 Van Daele, Marnix 5 Vigo-Aguiar, Jesus 5 Wang, Bin 4 Amodio, Pierluigi 4 Ixaru, Liviu Gr. 4 Kanwar, Vinay 4 Li, Xiaoxi 4 Lopez, Luciano 4 Podhaisky, Helmut 4 Singh, Gurjinder 4 Zhang, Hong 3 Abdi, Ali 3 Beck, Steffen 3 Bhatia, Saurabh 3 Cai, Wenjun 3 Chartier, Philippe 3 Del Buono, Nicoletta 3 Dieci, Luca 3 Fu, Yayun 3 Hernandez-Abreu, Domingo 3 Hojjati, Gholamreza 3 Huang, Li 3 Jiang, Chaolong 3 Konguetsof, Avrilia 3 Liao, HongLin 3 Mei, Lijie 3 Miyatake, Yuto 3 Murua, Ander 3 Sanz-Serna, Jesús María 3 Shampine, Lawrence Fred 3 Spijker, Marc N. 3 Tan, Zengqiang 3 Trigiante, Donato 3 Vilmart, Gilles 3 Wang, Zenggui 3 Xu, Zhuangzhi 3 You, Xiong 3 Zhang, Zhimin 2 Bisetti, Fabrizio 2 Biswas, Abhijit 2 Bo, Yonghui 2 Calvo, M. P. 2 Cano, Begoña 2 Desmet, Wim 2 Ding, Xiaohua 2 Ehigie, Julius Osato 2 Esposito, Elena 2 Frasca-Caccia, Gianluca 2 Fu, Lin 2 Garcia-Rubio, Raquel 2 Giri, Subhajit 2 Gurioli, Gianmarco 2 Hairer, Ernst 2 Hu, Dongdong 2 Hu, Guangda 2 Huang, Chengming 2 Jackiewicz, Zdzislaw 2 Jay, Laurent-Olivier 2 Kamel, Osman M. 2 Klinge, Marcel 2 Laurent, Adrien 2 Li, Haochen 2 Li, Jiyong 2 Li, Xiuyan 2 Li, Yuwen ...and 379 more Authors all top 5 Cited in 79 Serials 56 Journal of Mathematical Chemistry 54 Journal of Computational and Applied Mathematics 38 Applied Numerical Mathematics 26 Journal of Computational Physics 19 BIT 19 Journal of Scientific Computing 17 Applied Mathematics and Computation 17 Numerical Algorithms 15 Computers & Mathematics with Applications 12 Computer Physics Communications 10 International Journal of Computer Mathematics 10 SIAM Journal on Scientific Computing 8 Celestial Mechanics and Dynamical Astronomy 6 Numerische Mathematik 6 SIAM Journal on Numerical Analysis 4 Advances in Computational Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 3 Computers and Fluids 3 Computer Methods in Applied Mechanics and Engineering 3 Computational and Applied Mathematics 3 Mathematical Problems in Engineering 3 Journal of Applied Mathematics and Computing 2 Physics Letters. 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Series B 1 Discrete and Continuous Dynamical Systems 1 European Journal of Control 1 Nonlinear Dynamics 1 Computational Geosciences 1 Combustion Theory and Modelling 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Journal of Numerical Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Mathematical Biosciences and Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Applied Mathematics and Computational Science 1 Frontiers of Mathematics in China 1 Communications in Computational Physics 1 Numerical Mathematics: Theory, Methods and Applications 1 IET Control Theory & Applications 1 International Journal of Structural Stability and Dynamics 1 Axioms 1 JSIAM Letters 1 East Asian Journal on Applied Mathematics 1 International Journal of Applied and Computational Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Applied Mathematics and Nonlinear Sciences 1 Ural Mathematical Journal 1 SN Partial Differential Equations and Applications all top 5 Cited in 30 Fields 378 Numerical analysis (65-XX) 128 Ordinary differential equations (34-XX) 63 Partial differential equations (35-XX) 41 Dynamical systems and ergodic theory (37-XX) 28 Quantum theory (81-XX) 20 Mechanics of particles and systems (70-XX) 20 Fluid mechanics (76-XX) 11 Probability theory and stochastic processes (60-XX) 7 Biology and other natural sciences (92-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Operations research, mathematical programming (90-XX) 4 Operator theory (47-XX) 4 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 3 Astronomy and astrophysics (85-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year