Search results for "Runge-Kutta"

Hits ?▲	Authors	Title	Venue	Year	Link	Author keywords
172	Colin B. Macdonald, Sigal Gottlieb, Steven J. Ruuth	A Numerical Study of Diagonally Split Runge-Kutta Methods for PDEs with Discontinuities.	J. Sci. Comput.	2008	DBLP DOI BibTeX RDF	Diagonally split Runge-Kutta methods, Unconditional contractivity, Order reduction, Hyperbolic PDEs, Runge-Kutta methods, Time discretization, Strong stability preserving
172	R. R. Ahmad, A. S. Rambely, L. H. Lim	Solving Biomechanical Model Using Third-Order Runge-Kutta Methods.	ASCM	2007	DBLP DOI BibTeX RDF	Biomechanics problem, Modified Runge- Kutta, Runge-Kutta
161	Thomas Rauber, Gudula Rünger	Iterated Runge-Kutta methods on distributed memory multiprocessors.	PDP	1995	DBLP DOI BibTeX RDF	iterated Runge-Kutta, predictor-corrector scheme, embedded formulae, parallel algorithms, performance analysis, iterative methods, iteration method, distributed memory systems, differential equations, ordinary differential equations, Runge-Kutta methods, Runge-Kutta methods, distributed memory multiprocessors
160	Adrian Sandu	On the Properties of Runge-Kutta Discrete Adjoints.	International Conference on Computational Science (4)	2006	DBLP DOI BibTeX RDF	discrete adjoints, Runge-Kutta methods
160	Sigal Gottlieb, Lee-Ad Gottlieb	Strong Stability Preserving Properties of Runge-Kutta Time Discretization Methods for Linear Constant Coefficient Operators.	J. Sci. Comput.	2003	DBLP DOI BibTeX RDF	Runge-Kutta methods, high order accuracy, time discretization, Strong stability preserving
148	Severiano González-Pinto, Juan I. Montijano, S. Pérez-Rodríguez	Two-step error estimators for implicit Runge-Kutta methods applied to stiff systems.	ACM Trans. Math. Softw.	2004	DBLP DOI BibTeX RDF	implicit Runge-Kutta methods, stiff initial value problems, Error estimation, Runge-Kutta
148	Christopher T. H. Baker, Christopher A. H. Paul	Parallel continuous Runge-Kutta methods and vanishing lag delay differential equations.	Adv. Comput. Math.	1993	DBLP DOI BibTeX RDF	AMS(MOS) subject classifications primary 65Q05
136	D. Sármány, Mike A. Botchev, Jaap J. W. van der Vegt	Dispersion and Dissipation Error in High-Order Runge-Kutta Discontinuous Galerkin Discretisations of the Maxwell Equations.	J. Sci. Comput.	2007	DBLP DOI BibTeX RDF	High-order nodal discontinuous Galerkin methods, Numerical dispersion and dissipation, Strong-stability-preserving Runge-Kutta methods, Maxwell equations
133	P. J. van der Houwen, W. A. van der Veen	Waveform relaxation methods for implicit differential equations.	Adv. Comput. Math.	1997	DBLP DOI BibTeX RDF	implicit differential equations, waveform relaxation, parallelism, convergence, numerical analysis, Runge-Kutta methods
124	Kevin Burrage, Heru Suhartanto	Parallel iterated methods based on variable step-size multistep Runge - Kutta methods of Radau type for stiff problems.	Adv. Comput. Math.	2000	DBLP DOI BibTeX RDF
124	Jeff R. Cash, Alan H. Karp	A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides.	ACM Trans. Math. Softw.	1990	DBLP DOI BibTeX RDF
124	William B. Gruttke	Pseudo-Runge-Kutta Methods of the Fifth Order.	J. ACM	1970	DBLP DOI BibTeX RDF
124	John W. Carr III	Error Bounds for the Runge-Kutta Single-Step Integration Process.	J. ACM	1958	DBLP DOI BibTeX RDF
121	T. M. H. Chan, Robert P. K. Chan	A Simplified Approach to the Order Conditions of Integration Methods.	Computing	2006	DBLP DOI BibTeX RDF	real-valued functions on trees, the elementary weight function, series, two-step Runge-Kutta methods, two-derivative Runge-Kutta methods, linear multi-step methods, Rooted trees
120	Geetha Ramaswami	Perturbed collocation and symplectic RKN methods.	Adv. Comput. Math.	1995	DBLP DOI BibTeX RDF
112	Wayne H. Enright, Wayne B. Hayes	Robust and reliable defect control for Runge-Kutta methods.	ACM Trans. Math. Softw.	2007	DBLP DOI BibTeX RDF	interpolation, ordinary differential equations, Runge-Kutta methods, Initial value problems
112	Manuel Calvo, Juan I. Montijano, Luis Rández	On explicit multi-revolution Runge-Kutta schemes.	Adv. Comput. Math.	2007	DBLP DOI BibTeX RDF	initial value problems with almost periodic or highly oscillatory solutions, long term integration, multi-revolution methods, Runge-Kutta methods
112	Mark H. Carpenter, C. A. Kennedy, Hester Bijl, S. A. Viken, Veer N. Vatsa	Fourth-Order Runge-Kutta Schemes for Fluid Mechanics Applications.	J. Sci. Comput.	2005	DBLP DOI BibTeX RDF	backward differentiation formulae, modified extended efficiency, convection-diffusion-reaction, turbulence, time discretization, Runge-Kutta, High-order
112	Inmaculada Higueras	Monotonicity for Runge-Kutta Methods: Inner Product Norms.	J. Sci. Comput.	2005	DBLP DOI BibTeX RDF	coercive problems, monotonicity, Runge-Kutta methods, SSP, strong stability
112	Robert Baier	Selection Strategies for Set-Valued Runge-Kutta Methods.	NAA	2004	DBLP DOI BibTeX RDF	set-valued Runge-Kutta methods, linear differential inclusions, modified Euler, selection strategies
112	Manuel Calvo, M. P. Laburta, Juan I. Montijano	Two-Step High Order Starting Values for Implicit Runge-Kutta Methods.	Adv. Comput. Math.	2003	DBLP DOI BibTeX RDF	starting algorithms, Runge-Kutta-Gauss methods, Hamiltonian systems
112	Nguyen Huu Cong, Karl Strehmel, Rüdiger Weiner, Helmut Podhaisky	Runge-Kutta-Nyström-type parallel block predictor-corrector methods.	Adv. Comput. Math.	1999	DBLP DOI BibTeX RDF	Runge-Kutta-Nyström methods, predictor-corrector methods, 65M20, parallelism, stability, 65M12
112	P. J. van der Houwen, J. J. B. de Swart	Parallel linear system solvers for Runge-Kutta methods.	Adv. Comput. Math.	1997	DBLP DOI BibTeX RDF	convergence of iteration methods, parallelism, numerical analysis, Runge-Kutta methods
108	Bernard A. Galler, D. P. Rozenberg	A Generalization of a Theorem of Carr on Error Bounds for Rung-Kutta Procedures.	J. ACM	1960	DBLP DOI BibTeX RDF
100	Gennady Y. Kulikov, Sergey Konstantinovich Shindin	Numerical Tests with Gauss-Type Nested Implicit Runge-Kutta Formulas.	International Conference on Computational Science (1)	2007	DBLP DOI BibTeX RDF
100	P. J. van der Houwen, Ben P. Sommeijer	Diagonally implicit Runge-Kutta methods for 3D shallow water applications.	Adv. Comput. Math.	2000	DBLP DOI BibTeX RDF	shallow water problems, DIRK methods, 65M20, stability, numerical analysis, 65M12, 65L20, 65L06
88	Zdzislaw Jackiewicz, Arne Marthinsen, Brynjulf Owren	Construction of Runge-Kutta methods of Crouch-Grossman type of high order.	Adv. Comput. Math.	2000	DBLP DOI BibTeX RDF	order conditions, geometric integration, rigid frames, least squares minimization, Runge-Kutta methods
88	Yunkang Liu	Runge-Kutta-collocation methods for systems of functional-differential and functional equations.	Adv. Comput. Math.	1999	DBLP DOI BibTeX RDF	functional-differential equations, continuous Runge-Kutta method, order of approximation, 34K05, 39B05, hybrid systems, numerical stability, collocation method, 65L20, 65L60, 65L06, functional equations, 65L05
88	P. H. Muir	Optimal discrete and continuous mono-implicit Runge-Kutta schemes for BVODEs.	Adv. Comput. Math.	1999	DBLP DOI BibTeX RDF	Runge-Kutta schemes, boundary value ODEs, efficiency, 65L05, 65L10
88	Philip W. Sharp, James H. Verner	Generation of High-Order Interpolants for Explicit Runge-Kutta Pairs.	ACM Trans. Math. Softw.	1998	DBLP DOI BibTeX RDF	high order interpolants, generation, pairs, Runge-Kutta, explicit
88	Kersti Ekeland, Brynjulf Owren, Eivor Øines	Stiffness Detection and Estimation of Dominant Spectrum with Explicit Runge-Kutta Methods.	ACM Trans. Math. Softw.	1998	DBLP DOI BibTeX RDF	explicit Runge-Kutta method, stiffness detection
88	Manuel Calvo, Desmond J. Higham, Juan I. Montijano, Luis Rández	Stepsize selection for tolerance proportionality in explicit Runge-Kutta codes.	Adv. Comput. Math.	1997	DBLP DOI BibTeX RDF	stepsize control, Runge-Kutta methods, initial value problems, 65L05
88	Inmaculada Higueras	On Simplifying Assumptions of Runge-Kutta Methods for Index 2 Differential Algebraic Problems.	Computing	1995	DBLP DOI BibTeX RDF	Differential-algebraic systems, order conditions, simplifying assumptions, Runge-Kutta methods
88	Wayne H. Enright, Min Hu	Interpolating Runge-Kutta Methods for Vanishing Delay Differential Equations.	Computing	1995	DBLP DOI BibTeX RDF	interpolations, Runge-Kutta methods, delay differential equations
88	Kjell Gustafsson	Control-theoretic techniques for stepsize selection in implicit Runge-Kutta methods.	ACM Trans. Math. Softw.	1994	DBLP DOI BibTeX RDF	stepsize selection, stability, control theory, numerical integration, Runge-Kutta methods
88	George Hall	Equilibrium States of Runge Kutta Schemes.	ACM Trans. Math. Softw.	1985	DBLP DOI BibTeX RDF	stiff systems, Runge-Kutta methods
76	Sunku Kang, Byungwoo Lee, Jihoon Yang, Seonho Kim, Saejoon Kim	Simulating Biological Pathways with a Continuous Petri Net Using Runge-Kutta Methods.	FBIT	2007	DBLP DOI BibTeX RDF
76	Karol Gajda, Malgorzata A. Jankowska, Andrzej Marciniak, Barbara Szyszka	A Survey of Interval Runge-Kutta and Multistep Methods for Solving the Initial Value Problem.	PPAM	2007	DBLP DOI BibTeX RDF	the initial value problem, one-step interval methods, symplectic interval methods, multistep interval methods, floating-point interval arithmetic
76	Basem S. Attili	An Efficient Fourth Order Implicit Runge-Kutta Algorithm for Second Order Systems.	ASCM	2007	DBLP DOI BibTeX RDF
76	Matthias Korch, Thomas Rauber	Applicability of Load Balancing Strategies to Data-Parallel Embedded Runge-Kutta Integrators.	Euro-Par	2006	DBLP DOI BibTeX RDF
76	Lorenzo Pareschi, Giovanni Russo 0001	Implicit-Explicit Runge-Kutta Schemes and Applications to Hyperbolic Systems with Relaxation.	J. Sci. Comput.	2005	DBLP DOI BibTeX RDF	AMS Subject Classification 65C20, 82D25
76	Sigal Gottlieb	On High Order Strong Stability Preserving Runge-Kutta and Multi Step Time Discretizations.	J. Sci. Comput.	2005	DBLP DOI BibTeX RDF	AMS (MOS) Subject Classification 65M20, 65L06
76	Beatrice Paternoster	Two Step Runge-Kutta-Nyström Methods for Oscillatory Problems Based on Mixed Polynomials.	International Conference on Computational Science	2003	DBLP DOI BibTeX RDF
76	Bernardo Cockburn, Chi-Wang Shu	Runge-Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems.	J. Sci. Comput.	2001	DBLP DOI BibTeX RDF	non-linear conservation laws, convection-diffusion equations, discontinuous Galerkin methods
76	Gennady Y. Kulikov, Alexandra A. Korneva	On Efficient Application of Implicit Runge-Kutta Methods to Large-Scale Systems of Index 1 Differential-Algebraic Equations.	International Conference on Computational Science (1)	2001	DBLP DOI BibTeX RDF
76	Helmut Podhaisky, Rüdiger Weiner	A Class of Explicit Two-Step Runge-Kutta Methods with Enlarged Stability Regions for Parallel Computers.	ACPC	1999	DBLP DOI BibTeX RDF
76	Yi-Jen Wang, Chin-Teng Lin	Runge-Kutta neural network for identification of dynamical systems in high accuracy.	IEEE Trans. Neural Networks	1998	DBLP DOI BibTeX RDF
76	Kevin Burrage, Heru Suhartanto	Parallel iterated method based on multistep Runge-Kutta of Radau type for stiff problems.	Adv. Comput. Math.	1997	DBLP DOI BibTeX RDF
76	Kevin Burrage, Heru Suhartanto	Parallel iterated methods based on multistep Runge-Kutta methods of Radau type.	Adv. Comput. Math.	1997	DBLP DOI BibTeX RDF
76	Michael C. Green	A parallel implicit Runge-Kutta method for solving ordinary differential equations.	ACM Southeast Regional Conference	1979	DBLP DOI BibTeX RDF
76	Erwin Fehlberg	Klassische Runge-Kutta-Nyström-Formeln mit Schrittweiten-Kontrolle für Differentialgleichungen x.. = f(t, x, x.).	Computing	1975	DBLP DOI BibTeX RDF
76	John C. Butcher	A Multistep Generalization of Runge-Kutta Methods With Four or Five Stages.	J. ACM	1967	DBLP DOI BibTeX RDF
76	George D. Byrne, Robert J. Lambert	Pseudo-Runge-Kutta Methods Involving Two Points.	J. ACM	1966	DBLP DOI BibTeX RDF
72	Thomas Rauber, Gudula Rünger	Optimizing locality for ODE solvers.	ICS	2001	DBLP DOI BibTeX RDF
72	Ernst Hairer, Gerhard Wanner	On the Butcher group and general multi-value methods.	Computing	1974	DBLP DOI BibTeX RDF
64	Frank Cameron	A matlab package for automatically generating Runge-Kutta trees, order conditions, and truncation error coefficients.	ACM Trans. Math. Softw.	2006	DBLP DOI BibTeX RDF	order conditions, truncation error coefficients, Automatic code generation, Runge-Kutta methods
64	Christopher T. H. Baker, Malcolm S. Keech	Stability Analysis of Certain Runge-Kutta Procedures for Volterra Integral Equations.	ACM Trans. Math. Softw.	1978	DBLP DOI BibTeX RDF	absolute stability, numerical analysis, Runge-Kutta methods, Volterra integral equations
64	Robert J. Thompson	Improving round-off in Runge-Kutta computations with Gill's method.	Commun. ACM	1970	DBLP DOI BibTeX RDF	error analysis, ordinary differential equations, Runge-Kutta methods, round-off error
60	Mehdi Dehghan 0002, Akbar Mohebbi, Zohreh Asgari	Fourth-order compact solution of the nonlinear Klein-Gordon equation.	Numer. Algorithms	2009	DBLP DOI BibTeX RDF	Klein-Gordon (KG) equation, Compact finite difference, Diagonally-implicit Runge-Kutta-Nyström (DIRKN) methods, Soliton, High accuracy
60	Sigal Gottlieb, David I. Ketcheson, Chi-Wang Shu	High Order Strong Stability Preserving Time Discretizations.	J. Sci. Comput.	2009	DBLP DOI BibTeX RDF	Multistep methods, Spectral deferred correction methods, Runge-Kutta methods, High order accuracy, Time discretization, Strong stability preserving
60	Shuanghui Hao, Weifeng Zheng, Minghui Hao, Jie Liu, Hong Li	Simulation and Development Environment for Digital Controlled PMSM Servo System.	ICIRA (2)	2008	DBLP DOI BibTeX RDF	PMSM servo system, closed-loop simulation, Reverse Polish Notation, Runge-Kutta
60	Håvard Berland, Bård Skaflestad, Will M. Wright	EXPINT - A MATLAB package for exponential integrators.	ACM Trans. Math. Softw.	2007	DBLP DOI BibTeX RDF	? functions, Exponential integrators for semilinear problems, multistep methods, scaling and squaring technique, MATLAB, Runge-Kutta methods
60	Anurag Srivastava, John C. Linford, Adrian Sandu	Performance of stabilized explicit time integration methods for parallel air quality models.	SpringSim (2)	2007	DBLP BibTeX RDF	Runge Kutta Chebyshev integration, air quality models, parallel performance analysis
60	Appanah Rao Appadu, Muhammad Zaid Dauhoo, S. D. D. V. Rughooputh	Efficient Shock-Capturing Numerical Schemes Using the Approach of Minimised Integrated Square Difference Error for Hyperbolic Conservation Laws.	ICCSA (3)	2007	DBLP DOI BibTeX RDF	4-6 Low-Dissipation and Dispersion Runge Kutta, LW????, Minimised Integrated Square Difference Error
60	Sigal Gottlieb, Steven J. Ruuth	Optimal Strong-Stability-Preserving Time-Stepping Schemes with Fast Downwind Spatial Discretizations.	J. Sci. Comput.	2006	DBLP DOI BibTeX RDF	total-variation-diminishing, linear multistep methods, Runge-Kutta methods, time discretization, Strong-stability-preserving
60	Habib N. Najm, Omar M. Knio	Modeling Low Mach Number Reacting Flow with Detailed Chemistry and Transport.	J. Sci. Comput.	2005	DBLP DOI BibTeX RDF	Reacting flow, operator splitting, Runge-Kutta-Chebyschev, stiffness, time integration
60	Karl Hörnell, Per Lötstedt	Adaptive Iteration to Steady State of Flow Problems.	J. Sci. Comput.	2004	DBLP DOI BibTeX RDF	flow problems, Runge-Kutta iteration, adapted parameters, steady state solution
60	Inmaculada Higueras	On Strong Stability Preserving Time Discretization Methods.	J. Sci. Comput.	2004	DBLP DOI BibTeX RDF	monotonicity, Runge-Kutta methods, strong-stability preserving, SSP
60	Hermann Brunner, Rossana Vermiglio	Stability of solutions of delay functional integro-differential equations and their discretizations.	Computing	2003	DBLP DOI BibTeX RDF	delay functional integro-differential equations, continuous Runge-Kutta methods, stability, contractivity, collocation methods
60	Steven J. Ruuth, Raymond J. Spiteri	Two Barriers on Strong-Stability-Preserving Time Discretization Methods.	J. Sci. Comput.	2002	DBLP DOI BibTeX RDF	total variation diminishing, Runge-Kutta methods, high-order accuracy, time discretization, strong stability preserving
60	Michelle Schatzman	Toward Non Commutative Numerical Analysis: High Order Integration in Time.	J. Sci. Comput.	2002	DBLP DOI BibTeX RDF	high precision, preconditioning, Runge-Kutta methods, time integration, numerical efficiency
55	Michael R. Clines, Victoria E. Howle, Katharine R. Long	Efficient Order-Optimal Preconditioners for Implicit Runge-Kutta and Runge-Kutta-Nyström Methods Applicable to a Large Class of Parabolic and Hyperbolic PDEs.	CoRR	2022	DBLP DOI BibTeX RDF
55	Athinoula Kosti	Μέθοδοι Runge-Kutta και Runge-Kutta-Nystrom με ειδικές ιδιότητες για την επίλυση διαφορικών εξισώσεων		2011	RDF
52	Matthias Korch, Thomas Rauber	Parallel Implementation of Runge-Kutta Integrators with Low Storage Requirements.	Euro-Par	2009	DBLP DOI BibTeX RDF
52	Sayed Mahmoud, Xiaojun Chen 0001	A verified inexact implicit Runge-Kutta method for nonsmooth ODEs.	Numer. Algorithms	2008	DBLP DOI BibTeX RDF	Verification of solution, IRK method, Nonsmooth ODEs, Structural pounding, Oscillations
52	Ryo Kikuuwe, Motoji Yamamoto	A modular software architecture for simulating mechanical systems involving Coulomb friction integrable by the Runge-Kutta method.	IROS	2008	DBLP DOI BibTeX RDF
52	Raffaele D'Ambrosio, Matteo Ferro, Beatrice Paternoster	Collocation-Based Two Step Runge-Kutta Methods for Ordinary Differential Equations.	ICCSA (2)	2008	DBLP DOI BibTeX RDF
52	Charalampos Tsitouras	Runge-Kutta interpolants for high precision computations.	Numer. Algorithms	2007	DBLP DOI BibTeX RDF	Dense output, Quadruple precision, Initial value problem
52	Matthias Korch, Thomas Rauber	Locality Optimized Shared-Memory Implementations of Iterated Runge-Kutta Methods.	Euro-Par	2007	DBLP DOI BibTeX RDF
52	Radu Tiberiu Trimbitas, Maria Gabriela Trimbitas	Runge-Kutta Methods and Inverse Hermite Interpolation.	SYNASC	2007	DBLP DOI BibTeX RDF
52	Petre Bazavan	Approximation of Attractors by a Variable Time-Stepping Algorithm for Runge-Kutta Methods.	SYNASC	2007	DBLP DOI BibTeX RDF
52	Beatrice Paternoster	A General Family of Two Step Runge-Kutta-Nyström Methods for y" = f(x, y) Based on Algebraic Polynomials.	International Conference on Computational Science (4)	2006	DBLP DOI BibTeX RDF
52	Gennady Y. Kulikov, Ekaterina Yu. Khrustaleva, Arkadi I. Merkulov	Symmetric Runge-Kutta Methods with Higher Derivatives and Quadratic Extrapolation.	International Conference on Computational Science (1)	2006	DBLP DOI BibTeX RDF
52	Hugo de la Cruz, Rolando J. Biscay, Felix Carbonell, Juan Carlos Jimenez 0001, T. Ozaki	Local Linearization-Runge Kutta (LLRK) Methods for Solving Ordinary Differential Equations.	International Conference on Computational Science (1)	2006	DBLP DOI BibTeX RDF
52	José Miguel Mantas, Pedro González 0002, José A. Carrillo 0001	Parallelization of Implicit-Explicit Runge-Kutta Methods for Cluster of PCs.	Euro-Par	2005	DBLP DOI BibTeX RDF
52	Matthias Korch, Thomas Rauber	Simulation-Based Analysis of Parallel Runge-Kutta Solvers.	PARA	2004	DBLP DOI BibTeX RDF
52	Gennady Y. Kulikov	An Advanced Version of the Local-Global Step Size Control for Runge-Kutta Methods Applied to Index 1 Differential-Algebraic Systems.	International Conference on Computational Science	2004	DBLP DOI BibTeX RDF
52	Fasma Diele, Carmela Marangi, Stefania Ragni	Direct Optimization Using Gaussian Quadrature and Continuous Runge-Kutta Methods: Application to an Innovation Diffusion Model.	International Conference on Computational Science	2004	DBLP DOI BibTeX RDF
52	Fasma Diele, Carmela Marangi, Stefania Ragni	Numerical Methods Based on Gaussian Quadrature and Continuous Runge-Kutta Integration for Optimal Control Problems.	ICCSA (2)	2004	DBLP DOI BibTeX RDF
52	Beatrice Paternoster	Two Step Runge-Kutta-Nyström Methods for y'' = f(x, y) and P-Stability.	International Conference on Computational Science (3)	2002	DBLP DOI BibTeX RDF
52	Dietrich Fränken, Karlheinz Ochs	Numerical stability properties of passive Runge-Kutta methods.	ISCAS (3)	2001	DBLP DOI BibTeX RDF
52	Dietrich Fränken, Karlheinz Ochs	Wave digital simulation of nonlinear electrical networks by means of passive Runge-Kutta methods.	ISCAS (3)	2001	DBLP DOI BibTeX RDF
52	Aiguo Xiao, Shoufu Li	short communication: Error of Partitioned Runge-Kutta Methods for Multiple Stiff Singular Perturbation Problems.	Computing	2000	DBLP DOI BibTeX RDF	AMS Subject Classification: 65L05
52	Blanca Bujanda, Juan Carlos Jorge	Fractional Step Runge-Kutta Methods for the Resolution of Two Dimensional Time Dependent Coefficient Convection-Diffusion Problems.	NAA	2000	DBLP DOI BibTeX RDF
52	Sergio Blanes, Fernando Casas, José Ros	New Families of Symplectic Runge-Kutta-Nyström Integration Methods.	NAA	2000	DBLP DOI BibTeX RDF
52	Jeff R. Cash	Semi-Implicit Runge-Kutta Procedures with Error Estimates for the Numerical Integration of Stiff Systems of Ordinary Differential Equations.	J. ACM	1976	DBLP DOI BibTeX RDF
52	F. Fuchs	A-stability of Runge-Kutta methods with single and multiple nodes.	Computing	1976	DBLP DOI BibTeX RDF
52	Abbas I. Abdel Karim	The stability of the fourth order Runge-Kutta method for the solution of systems of differential equations.	Commun. ACM	1966	DBLP DOI BibTeX RDF
48	John C. Butcher	High Order A-stable Numerical Methods for Stiff Problems.	J. Sci. Comput.	2005	DBLP DOI BibTeX RDF	Stiff differential equations, A-stable methods, general linear methods, inherent RK stability
48	Zdzislaw Jackiewicz	Construction and Implementation of General Linear Methods for Ordinary Differential Equations: A Review.	J. Sci. Comput.	2005	DBLP DOI BibTeX RDF	AMS subject classification 65L05