Abdulrahman Karouma

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All published works

Action	Title	Year	Authors
+	A new class of efficient one-step contractivity preserving high-order time discretization methods of order 5 to 14	2017	Abdulrahman Karouma Truong Nguyen-Ba Thierry Giordano Rémi Vaillancourt
+	A Class of Contractivity Preserving Hermite-Birkhoff-Taylor High Order Time Discretization Methods	2015	Abdulrahman Karouma
+	Strong-stability-preserving, One-step, 9-stage, Hermite–Birkhoff–Taylor, Time-discretization Methods Combining Taylor and RK4 Methods	2012	Truong Nguyen-Ba Abdulrahman Karouma Thierry Giordano Rémi Vaillancourt

Common Coauthors

Coauthor	Papers Together
Thierry Giordano	2
Truong Nguyen-Ba	2
Rémi Vaillancourt	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	VSVO formulation of the taylor method for the numerical solution of ODEs	2005	Roberto Barrio Fernando Blesa Martı́n Lara	2
+	None	2003	Jens Hoefkens Martin Berz Kyoko Makino	2
+	High Order Strong Stability Preserving Time Discretizations	2008	Sigal Gottlieb David I. Ketcheson Chi‐Wang Shu	2
+	Efficient implementation of essentially non-oscillatory shock-capturing schemes, II	1989	Chi‐Wang Shu Stanley Osher	2
+	Comparing Numerical Methods for Ordinary Differential Equations	1972	T. E. Hull W. H. Enright B. M. Fellen A. E. Sedgwick	2
+	Preservation of adiabatic invariants under symplectic discretization	1999	Sebastian Reich	2
+ PDF Chat	A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods	2005	Àngel Jorba Maorong Zou	2
+	Non-linear evolution using optimal fourth-order strong-stability-preserving Runge–Kutta methods	2003	Raymond J. Spiteri Steven J. Ruuth	2
+	N-body simulations	2006	P. W. Sharp	2
+	Validated solutions of initial value problems for ordinary differential equations	1999	Nedialko S. Nedialkov Kenneth R. Jackson George F. Corliss	2
+ PDF Chat	Solving Ordinary Differential Equations Using Taylor Series	1982	George F. Corliss Yao‐Feng Chang	2
+	Strong stability preserving hybrid methods	2008	Chengming Huang	2
+	One-step 5-stage Hermite–Birkhoff–Taylor ODE solver of order 12	2009	Truong Nguyen-Ba Hao Han Hemza Yagoub Rémi Vaillancourt	2
+	Contractivity-preserving explicit Hermite–Obrechkoff ODE solver of order 13	2013	Truong Nguyen-Ba Steven J. Desjardins P. W. Sharp Rémi Vaillancourt	2
+	Performance of the Taylor series method for ODEs/DAEs	2004	Roberto Barrio	2
+	High order embedded Runge-Kutta formulae	1981	P.J. Prince John R. Dormand	2
+	Contractivity of Runge-Kutta methods	1991	J. F. B. M. Kraaijevanger	2
+	A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods	2002	Raymond J. Spiteri Steven J. Ruuth	2
+	Numerical Methods for Ordinary Differential Systems: The Initial Value Problem	1991	J. D. Lambert	2
+	Strong-stability-preserving, One-step, 9-stage, Hermite–Birkhoff–Taylor, Time-discretization Methods Combining Taylor and RK4 Methods	2012	Truong Nguyen-Ba Abdulrahman Karouma Thierry Giordano Rémi Vaillancourt	2
+	Variable-step variable-order 3-stage Hermite-Birkhoff ODE solver of order 5 to 15 with a C++ program	2008	Yi Li	2
+	Computer solution of ordinary differential equations : the initial value problem	1975	L. F. Shampine Marilyn K. Gordon	2
+ PDF Chat	Numerical comparisons of some explicit Runge-Kutta pairs of orders 4 through 8	1991	P. W. Sharp	2
+	Automatic programming of recurrent power series	1999	Martı́n Lara A. Elipe M. Palacios	2
+	Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations	2011	Sigal Gottlieb David I. Ketcheson Chi‐Wang Shu	1
+ PDF Chat	Highly Efficient Strong Stability-Preserving Runge–Kutta Methods with Low-Storage Implementations	2008	David I. Ketcheson	1
+	None	2002	Steven J. Ruuth Raymond J. Spiteri	1
+	Three-stage Hermite-Birkhoff-Taylor ODE solver with a C++ program	2008	Vladan Bozic	1
+	None	2003	Sigal Gottlieb Lee-Ad Gottlieb	1
+	Total-Variation-Diminishing Time Discretizations	1988	Chi‐Wang Shu	1
+ PDF Chat	Solving ordinary differential equations I. nonstiff problems	1987	Ernst Hairer Syvert P. Nørsett Gerhard Wanner	1
+	Global optimization of explicit strong-stability-preserving Runge-Kutta methods	2005	Steven J. Ruuth	1
+ PDF Chat	Low-storage, explicit Runge–Kutta schemes for the compressible Navier–Stokes equations	2000	Christopher Kennedy Mark H. Carpenter Robert Michael Lewis	1
+	Strong Stability-Preserving High-Order Time Discretization Methods	2001	Sigal Gottlieb Chi‐Wang Shu Eitan Tadmor	1
+	One-step strong-stability-preserving Hermite-Birkhoff-Taylor methods	2010	Truong Nguyen-Ba Huong Nguyen-Thu Thierry Giordano Rémi Vaillancourt	1
+ PDF Chat	Monotonicity-Preserving Linear Multistep Methods	2003	Willem Hundsdorfer Steven J. Ruuth Raymond J. Spiteri	1
+	High-Order Strong-Stability-Preserving Runge--Kutta Methods with Downwind-Biased Spatial Discretizations	2004	Steven J. Ruuth Raymond J. Spiteri	1
+	Families of Runge-Kutta-Nystrom Formulae	1987	John R. Dormand Moawwad El-Mikkawy P.J. Prince	1
+	New Runge-Kutta algorithms for numerical simulation in dynamical astronomy	1978	John R. Dormand P.J. Prince	1
+ PDF Chat	Efficient implementation of essentially non-oscillatory shock-capturing schemes	1988	Chi‐Wang Shu Stanley Osher	1
+	High order explicit Runge–Kutta Nyström pairs	2012	P. W. Sharp Mohammad A. Qureshi Kevin R. Grazier	1
+	Introduction to Nonlinear Differential and Integral Equations.	1964	P. E. Bedient Harold T. Davis	1