Search results for "Runge-Kutta methods"

Hits ?▲	Authors	Title	Venue	Year	Link	Author keywords
4	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
3	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
3	T. M. H. Chan, R. 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
3	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
3	S. González-Pinto, J. 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
3	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
3	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
3	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
3	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
2	Raffaele D'Ambrosio, M. Ferro, Beatrice Paternoster	Collocation-Based Two Step Runge-Kutta Methods for Ordinary Differential Equations.	ICCSA	2008	DBLP DOI BibTeX RDF
2	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
2	Petre Bazavan	Approximation of Attractors by a Variable Time-Stepping Algorithm for Runge-Kutta Methods.	SYNASC	2007	DBLP DOI BibTeX RDF
2	Radu Tiberiu Trimbitas, Maria Gabriela Trimbitas	Runge-Kutta Methods and Inverse Hermite Interpolation.	SYNASC	2007	DBLP DOI BibTeX RDF
2	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
2	M. Calvo, J. I. Montijano, L. 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
2	Gennady Y. Kulikov, Ekaterina Yu. Khrustaleva, Arkadi I. Merkulov	Symmetric Runge-Kutta Methods with Higher Derivatives and Quadratic Extrapolation.	International Conference on Computational Science	2006	DBLP DOI BibTeX RDF
2	Adrian Sandu	On the Properties of Runge-Kutta Discrete Adjoints.	International Conference on Computational Science	2006	DBLP DOI BibTeX RDF	discrete adjoints, Runge-Kutta methods
2	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
2	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
2	M. Calvo, M. P. Laburta, J. 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
2	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
2	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	2001	DBLP DOI BibTeX RDF
2	Dietrich Fränken, Karlheinz Ochs	Wave digital simulation of nonlinear electrical networks by means of passive Runge-Kutta methods.	ISCAS	2001	DBLP DOI BibTeX RDF
2	Dietrich Fränken, Karlheinz Ochs	Numerical stability properties of passive Runge-Kutta methods.	ISCAS	2001	DBLP DOI BibTeX RDF
2	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
2	Kevin Burrage, H. 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
2	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
2	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
2	Kevin Burrage, H. Suhartanto	Parallel iterated methods based on multistep Runge-Kutta methods of Radau type.	Adv. Comput. Math.	1997	DBLP DOI BibTeX RDF
2	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
2	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
2	I. 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
2	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
2	William B. Gruttke	Pseudo-Runge-Kutta Methods of the Fifth Order.	J. ACM	1970	DBLP DOI BibTeX RDF
2	John C. Butcher	A Multistep Generalization of Runge-Kutta Methods With Four or Five Stages.	J. ACM	1967	DBLP DOI BibTeX RDF
2	George D. Byrne, Robert J. Lambert	Pseudo-Runge-Kutta Methods Involving Two Points.	J. ACM	1966	DBLP DOI BibTeX RDF
1	Hao Chen, Chengjian Zhang	Stability analysis of linear multistep and Runge-Kutta methods for neutral multidelay-differential-algebraic systems.	Mathematical and Computer Modelling	2012	DBLP DOI BibTeX RDF
1	B. Sanderse, B. Koren	Accuracy analysis of explicit Runge-Kutta methods applied to the incompressible Navier-Stokes equations.	J. Comput. Physics	2012	DBLP DOI BibTeX RDF
1	Friedrich Kupka, Natalie Happenhofer, Inmaculada Higueras, Othmar Koch	Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics.	J. Comput. Physics	2012	DBLP DOI BibTeX RDF
1	Pavel Solín, Lukas Korous	Adaptive higher-order finite element methods for transient PDE problems based on embedded higher-order implicit Runge-Kutta methods.	J. Comput. Physics	2012	DBLP DOI BibTeX RDF
1	Raffaele D'Ambrosio, E. Esposito, Beatrice Paternoster	Exponentially fitted two-step Runge-Kutta methods: Construction and parameter selection.	Applied Mathematics and Computation	2012	DBLP DOI BibTeX RDF
1	Th. Monovasilis	Symplectic partitioned Runge-Kutta methods with the phase-lag property.	Applied Mathematics and Computation	2012	DBLP DOI BibTeX RDF
1	M. Khodabin, Khosrow Maleknejad, M. Rostami, Mostafa Nouri	Numerical solution of stochastic differential equations by second order Runge-Kutta methods.	Mathematical and Computer Modelling	2011	DBLP DOI BibTeX RDF
1	David I. Ketcheson, Sigal Gottlieb, Colin B. Macdonald	Strong Stability Preserving Two-step Runge-Kutta Methods.	SIAM J. Numerical Analysis	2011	DBLP DOI BibTeX RDF
1	Giacomo Dimarco, Lorenzo Pareschi	Exponential Runge-Kutta Methods for Stiff Kinetic Equations.	SIAM J. Numerical Analysis	2011	DBLP DOI BibTeX RDF
1	R. I. McLachlan, Y. Sun, P. S. P. Tse	Linear Stability of Partitioned Runge-Kutta Methods.	SIAM J. Numerical Analysis	2011	DBLP DOI BibTeX RDF
1	Raffaele D'Ambrosio, L. Gr. Ixaru, Beatrice Paternoster	Construction of the ef-based Runge-Kutta methods revisited.	Computer Physics Communications	2011	DBLP DOI BibTeX RDF
1	Y. Xu, J. J. Zhao, Z. N. Sui	Stability analysis of exponential Runge-Kutta methods for delay differential equations.	Appl. Math. Lett.	2011	DBLP DOI BibTeX RDF
1	Yoshio Komori, Kevin Burrage	Supplement: Efficient weak second order stochastic Runge-Kutta methods for non-commutative Stratonovich stochastic differential equations.	J. Computational Applied Mathematics	2011	DBLP DOI BibTeX RDF
1	Evelyn Buckwar, Martin G. Riedler	Runge-Kutta methods for jump-diffusion differential equations.	J. Computational Applied Mathematics	2011	DBLP DOI BibTeX RDF
1	Guido Vanden Berghe, Marnix Van Daele	Symplectic exponentially-fitted four-stage Runge-Kutta methods of the Gauss type.	Numerical Algorithms	2011	DBLP DOI BibTeX RDF
1	Angelos A. Anastassi	Constructing Runge-Kutta Methods with the Use of Artificial Neural Networks	CoRR	2011	DBLP BibTeX RDF
1	W. Hundsdorfer, M. N. Spijker	Boundedness and strong stability of Runge-Kutta methods.	Math. Comput.	2011	DBLP DOI BibTeX RDF
1	Natalia Kalinnik, Matthias Korch, Thomas Rauber	Dynamic selection of implementation variants of sequential iterated runge-kutta methods with tile size sampling (abstracts only).	SIGMETRICS Performance Evaluation Review	2011	DBLP DOI BibTeX RDF
1	Xiaohua Ding, Huan Su	Existence and convergence of Neimark-Sacker bifurcation for delay differential equations using Runge-Kutta methods.	Int. J. Comput. Math.	2011	DBLP DOI BibTeX RDF
1	Qi Wang, Qingyong Zhu	Stability analysis of Runge-Kutta methods for differential equations with piecewise continuous arguments of mixed type.	Int. J. Comput. Math.	2011	DBLP DOI BibTeX RDF
1	Yong Li, Leping Sun, Quanhong Yu	Stability of two-step Runge-Kutta methods for neutral delay differential-algebraic equations.	Int. J. Comput. Math.	2011	DBLP DOI BibTeX RDF
1	Natalia Kalinnik, Matthias Korch, Thomas Rauber	Dynamic selection of implementation variants of sequential iterated runge-kutta methods with tile size sampling.	ICPE	2011	DBLP DOI BibTeX RDF
1	Shoufu Li	High Order Contractive Runge-Kutta Methods for Volterra Functional Differential Equations.	SIAM J. Numerical Analysis	2010	DBLP DOI BibTeX RDF
1	Andreas Rößler	Runge-Kutta Methods for the Strong Approximation of Solutions of Stochastic Differential Equations.	SIAM J. Numerical Analysis	2010	DBLP DOI BibTeX RDF
1	David I. Ketcheson	Runge-Kutta methods with minimum storage implementations.	J. Comput. Physics	2010	DBLP DOI BibTeX RDF
1	Th. Monovasilis, Z. Kalogiratou, Tom E. Simos	Symplectic Partitioned Runge-Kutta methods with minimal phase-lag.	Computer Physics Communications	2010	DBLP DOI BibTeX RDF
1	M. Calvo, J. M. Franco, J. I. Montijano, L. Rández	Symmetric and symplectic exponentially fitted Runge-Kutta methods of high order.	Computer Physics Communications	2010	DBLP DOI BibTeX RDF
1	Chengjian Zhang, Tingting Qin, Jie Jin	The extended Pouzet-Runge-Kutta methods for nonlinear neutral delay-integro-differential equations.	Computing	2010	DBLP DOI BibTeX RDF
1	Y. Xu, J. J. Zhao, Z. N. Sui	Exponential Runge-Kutta methods for delay differential equations.	Mathematics and Computers in Simulation	2010	DBLP DOI BibTeX RDF
1	M. Mehdizadeh Khalsaraei	An improvement on the positivity results for 2-stage explicit Runge-Kutta methods.	J. Computational Applied Mathematics	2010	DBLP DOI BibTeX RDF
1	A. París, L. Rández	New embedded explicit pairs of exponentially fitted Runge-Kutta methods.	J. Computational Applied Mathematics	2010	DBLP DOI BibTeX RDF
1	M. Calvo, M. P. Laburta, J. I. Montijano, L. Rández	Approximate preservation of quadratic first integrals by explicit Runge-Kutta methods.	Adv. Comput. Math.	2010	DBLP DOI BibTeX RDF
1	Raffaele D'Ambrosio, Zdzislaw Jackiewicz	Continuous two-step Runge-Kutta methods for ordinary differential equations.	Numerical Algorithms	2010	DBLP DOI BibTeX RDF
1	Robert P. K. Chan, Angela Y. J. Tsai	On explicit two-derivative Runge-Kutta methods.	Numerical Algorithms	2010	DBLP DOI BibTeX RDF
1	D. Conte, Raffaele D'Ambrosio, Zdzislaw Jackiewicz	Two-step Runge-Kutta Methods with Quadratic Stability Functions.	J. Sci. Comput.	2010	DBLP DOI BibTeX RDF
1	Evelyn Buckwar, Andreas Rößler, Renate Winkler	Stochastic Runge--Kutta Methods for It[o-circumflex] SODEs with Small Noise.	SIAM J. Scientific Computing	2010	DBLP DOI BibTeX RDF
1	Etienne Emmrich, Mechthild Thalhammer	Stiffly accurate Runge-Kutta methods for nonlinear evolution problems governed by a monotone operator.	Math. Comput.	2010	DBLP DOI BibTeX RDF
1	Adrian Sandu, Philipp Miehe	Forward, tangent linear, and adjoint Runge-Kutta methods for stiff chemical kinetic simulations.	Int. J. Comput. Math.	2010	DBLP DOI BibTeX RDF
1	Laurent O. Jay	Preconditioning of implicit Runge-Kutta methods.	Scalable Computing: Practice and Experience	2009	DBLP BibTeX RDF
1	Andreas Rößler	Second Order Runge-Kutta Methods for Itô Stochastic Differential Equations.	SIAM J. Numerical Analysis	2009	DBLP DOI BibTeX RDF
1	J. Martín-Vaquero, B. Janssen	Second-order stabilized explicit Runge-Kutta methods for stiff problems.	Computer Physics Communications	2009	DBLP DOI BibTeX RDF
1	Z. W. Yang, M. Z. Liu, Juan J. Nieto	Runge-Kutta methods for first-order periodic boundary value differential equations with piecewise constant arguments.	J. Computational Applied Mathematics	2009	DBLP DOI BibTeX RDF
1	Inmaculada Higueras	Characterizing Strong Stability Preserving Additive Runge-Kutta Methods.	J. Sci. Comput.	2009	DBLP DOI BibTeX RDF
1	Inmaculada Higueras, José Miguel Mantas, Teo Roldán	Design and Implementation of Predictors for Additive Semi-Implicit Runge--Kutta Methods.	SIAM J. Scientific Computing	2009	DBLP DOI BibTeX RDF
1	S. Ch. Palligkinis, G. Papageorgiou, Ioannis Th. Famelis	Runge-Kutta methods for fuzzy differential equations.	Applied Mathematics and Computation	2009	DBLP DOI BibTeX RDF
1	Liping Wen, Suxia Wang, Yuexin Yu	Dissipativity of Runge-Kutta methods for neutral delay integro-differential equations.	Applied Mathematics and Computation	2009	DBLP DOI BibTeX RDF
1	S. Maset, M. Zennaro	Unconditional stability of explicit exponential Runge-Kutta methods for semi-linear ordinary differential equations.	Math. Comput.	2009	DBLP DOI BibTeX RDF
1	Qiubao Wang, M. Z. Liu	Stability and Neimark-Sacker bifurcation in Runge-Kutta methods for a predator-prey system.	Int. J. Comput. Math.	2009	DBLP DOI BibTeX RDF
1	Xiaohua Ding, Jiabo Tan	Implicit Runge-Kutta methods based on Radau quadrature formula.	Int. J. Comput. Math.	2009	DBLP DOI BibTeX RDF
1	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
1	Björn Scheuermann, Bodo Rosenhahn	Analysis of Numerical Methods for Level Set Based Image Segmentation.	ISVC	2009	DBLP DOI BibTeX RDF
1	Nawaf Bou-Rabee, Jerrold E. Marsden	Hamilton-Pontryagin Integrators on Lie Groups Part I: Introduction and Structure-Preserving Properties.	Foundations of Computational Mathematics	2009	DBLP DOI BibTeX RDF	Mathematics Subject Classification (2000) 37M15, 58E30, 65P10, 70EXX, 70HXX
1	John C. Butcher, L. L. Hewitt	The existence of symplectic general linear methods.	Numerical Algorithms	2009	DBLP DOI BibTeX RDF	Mathematics Subject Classifications (2000) 65L05, 65L06
1	Xiaojun Chen 0001, Sayed Mahmoud	Implicit Runge-Kutta Methods for Lipschitz Continuous Ordinary Differential Equations.	SIAM J. Numerical Analysis	2008	DBLP DOI BibTeX RDF
1	Kristian Debrabant, Anne Kværnø	B-Series Analysis of Stochastic Runge-Kutta Methods That Use an Iterative Scheme to Compute Their Internal Stage Values.	SIAM J. Numerical Analysis	2008	DBLP DOI BibTeX RDF
1	M. Calvo, J. M. Franco, J. I. Montijano, L. Rández	Sixth-order symmetric and symplectic exponentially fitted modified Runge-Kutta methods of Gauss type.	Computer Physics Communications	2008	DBLP DOI BibTeX RDF
1	Wansheng Wang, Shoufu Li	Dissipativity of Runge-Kutta methods for neutral delay differential equations with piecewise constant delay.	Appl. Math. Lett.	2008	DBLP DOI BibTeX RDF
1	Kristian Debrabant, Andreas Rößler	Classification of stochastic Runge-Kutta methods for the weak approximation of stochastic differential equations.	Mathematics and Computers in Simulation	2008	DBLP DOI BibTeX RDF
1	Y. Xu, J. J. Zhao	Stability of Runge-Kutta methods for neutral delay-integro-differential-algebraic system.	Mathematics and Computers in Simulation	2008	DBLP DOI BibTeX RDF
1	Guang-da Hu	Symplectic Runge-Kutta methods for the Kalman-Bucy filter.	IMA J. Math. Control & Information	2008	DBLP DOI BibTeX RDF
1	Brett N. Ryland, Robert I. McLachlan	On Multisymplecticity of Partitioned Runge-Kutta Methods.	SIAM J. Scientific Computing	2008	DBLP DOI BibTeX RDF
1	David I. Ketcheson	Highly Efficient Strong Stability-Preserving Runge-Kutta Methods with Low-Storage Implementations.	SIAM J. Scientific Computing	2008	DBLP DOI BibTeX RDF
1	Wansheng Wang, Liping Wen, Shoufu Li	Nonlinear stability of explicit and diagonally implicit Runge-Kutta methods for neutral delay differential equations in Banach space.	Applied Mathematics and Computation	2008	DBLP DOI BibTeX RDF
1	Nikolaos S. Christodoulou	Discrete Hopf bifurcation for Runge-Kutta methods.	Applied Mathematics and Computation	2008	DBLP DOI BibTeX RDF