Rémi Vaillancourt

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All published works

Action	Title	Year	Authors
+	ON RUNGE–KUTTA–NYSTROM FORMULAE WITH CONTRACTIVITY PRESERVING PROPERTIES FOR SECOND ORDER ODES	2018	NULL AUTHOR_ID Thierry Giordano NULL AUTHOR_ID
+	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
+	On contractivity preserving 4- to 7-step predictor-corrector HBO series for ODEs	2017	Truong Nguyen-Ba Thierry Giordano Huong Nguyen-Thu Rémi Vaillancourt
+	On second derivative 3-stage Hermite--Birkhoff--Obrechkoff methods for stiff ODEs: A-stable up to order 10 with variable stepsize	2017	Truong Nguyen-Ba Thierry Giordano Rémi Vaillancourt
+ PDF Chat	On contractivity-preserving 2- and 3-step predictor-corrector series for ODEs	2017	Truong Nguyen-Ba Abdulrahman Alzahrani Thierry Giordano Rémi Vaillancourt
+	Contractivity-preserving explicit multistep Hermite–Obrechkoff series differential equation solvers	2015	Truong Nguyen-Ba Thierry Giordano Rémi Vaillancourt
+	Asymptotic methods in mechanics of solids	2015	С. М. Бауэр S. B. Filippov Andrei L. Smirnov П. Е. Товстик Rémi Vaillancourt
+	Regular Perturbation of Ordinary Differential Equations	2015	С. М. Бауэр S. B. Filippov Andrei L. Smirnov П. Е. Товстик Rémi Vaillancourt
+	Asymptotic Integration of Nonlinear Differential Equations	2015	С. М. Бауэр S. B. Filippov Andrei L. Smirnov П. Е. Товстик Rémi Vaillancourt
+	Singularly Perturbed Linear Ordinary Differential Equations	2015	С. М. Бауэр S. B. Filippov Andrei L. Smirnov П. Е. Товстик Rémi Vaillancourt
+	Singularly Perturbed Linear Ordinary Differential Equations with Turning Points	2015	С. М. Бауэр S. B. Filippov Andrei L. Smirnov П. Е. Товстик Rémi Vaillancourt
+	Asymptotic Estimates for Integrals	2015	С. М. Бауэр S. B. Filippov Andrei L. Smirnov П. Е. Товстик Rémi Vaillancourt
+ PDF Chat	CONVOLUTION THEOREMS FOR CLIFFORD FOURIER TRANSFORM AND PROPERTIES	2014	Mawardi Bahri Ryuichi Ashino Rémi Vaillancourt
+	Three-stage Hermite–Birkhoff solver of order 8 and 9 with variable step size for stiff ODEs	2014	Truong Nguyen-Ba Thierry Giordano Rémi Vaillancourt
+	Continuous quaternion fourier and wavelet transforms	2014	Mawardi Bahri Ryuichi Ashino Rémi Vaillancourt
+	Strong-stability-preserving, Hermite–Birkhoff time-discretization based on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si64.gif" display="inline" overflow="scroll"><mml:mi>k</mml:mi></mml:math> step methods and 8-stage explicit Runge–Kutta methods of order 5 and 4	2013	Huong Nguyen-Thu Truong Nguyen-Ba Rémi Vaillancourt
+	Contractivity-preserving explicit Hermite–Obrechkoff ODE solver of order 13	2013	Truong Nguyen-Ba Steven J. Desjardins P. W. Sharp Rémi Vaillancourt
+ PDF Chat	A Sequential, Implicit, Wavelet-Based Solver for Multi-Scale Time-Dependent Partial Differential Equations	2013	Donald Alexander McLaren Lucy J. Campbell Rémi Vaillancourt
+ PDF Chat	Convolution Theorems for Quaternion Fourier Transform: Properties and Applications	2013	Mawardi Bahri Ryuichi Ashino Rémi Vaillancourt
+	Two-dimensional quaternion Fourier transform of type II and quaternion wavelet transform	2012	Mawardi Bahri Ryuichi Ashino Rémi Vaillancourt
+	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
+	Strong-stability-preserving Hermite–Birkhoff Timediscretization Methods Combining k-step Methods and Explicit s-stage RK4 Methods	2012	Truong Nguyen-Ba Huong Nguyen-Thu Thierry Giordano Rémi Vaillancourt
+	Two-dimensional quaternion wavelet transform	2011	Mawardi Bahri Ryuichi Ashino Rémi Vaillancourt
+	Variable-step variable-order 3-stage Hermite–Birkhoff–Obrechkoff DDE solver of order 4 to 14	2011	Hemza Yagoub Truong Nguyen-Ba Rémi Vaillancourt
+	Pryce pre-analysis adapted to some DAE solvers	2011	Truong Nguyen-Ba Hemza Yagoub Hong Hao Rémi Vaillancourt
+	Strong-Stability-Preserving 7-Stage Hermite–Birkhoff Time-Discretization Methods	2011	Truong Nguyen-Ba Huong Nguyen-Thu Thierry Giordano Rémi Vaillancourt
+	Pryce Structural Analysis Adapted to Hermite—Birkhoff—Taylor DAE Solvers	2011	Truong Nguyen-Ba Hemza Yagoub Rémi Vaillancourt Ilias Kotsireas Roderick Melnik Brian West
+	Strong-Stability-Preserving Hermite—Birkhoff Time-Discretizations of Order 4 to 12	2011	Truong Nguyen-Ba Huong Nguyen-Thu Rémi Vaillancourt Ilias Kotsireas Roderick Melnik Brian West
+	Strong-stability-preserving 3-stage Hermite–Birkhoff time-discretization methods	2010	Truong Nguyen-Ba Huong Nguyen-Thu Thierry Giordano Rémi Vaillancourt
+	Permutable functions concerning differential equations II	2010	Xiantao Wang Xin-Hou Hua Rémi Vaillancourt
+	Windowed Fourier transform of two-dimensional quaternionic signals	2010	Mawardi Bahri Eckhard Hitzer Ryuichi Ashino Rémi Vaillancourt
+	A three-stage, VSVO, Hermite–Birkhoff–Taylor, ODE solver	2010	Vladan Bozic Truong Nguyen-Ba Rémi Vaillancourt
+	Solution of Electric Circuits by a 9-stage Hermite-Birkhoff-Taylor DAE Solver of Order 11	2010	Truong Nguyen-Ba Hemza Yagoub Hao Han Rémi Vaillancourt
+	One-step strong-stability-preserving Hermite-Birkhoff-Taylor methods	2010	Truong Nguyen-Ba Huong Nguyen-Thu Thierry Giordano Rémi Vaillancourt
+	A one-step 7-stage Hermite–Birkhoff–Taylor ODE solver of order 11	2009	Truong Nguyen-Ba Vladan Bozic Emmanuel Kengne Rémi Vaillancourt
+	One-step 9-stage Hermite–Birkhoff–Taylor DAE solver of order 10	2009	Truong Nguyen-Ba Hao Han Hemza Yagoub Rémi Vaillancourt
+	Exact equilibrium solutions of a diffusion equation with a nonlinear diffusion term by means of Jacobian elliptic functions	2009	Emmanuel Kengne Rémi Vaillancourt
+	One-step 5-stage Hermite–Birkhoff–Taylor ODE solver of order 12	2009	Truong Nguyen-Ba Hao Han Hemza Yagoub Rémi Vaillancourt
+	Three-Dimensional Adaptive Central Schemes on Unstructured Staggered Grids	2009	A. Madrane Rémi Vaillancourt
+ PDF Chat	Nine-stage multi-derivative Runge-Kutta method of order 12	2009	Truong Nguyen-Ba Vladan Bozic Emmanuel Kengne Rémi Vaillancourt
+	One-step 9-stage Hermite–Birkhoff–Taylor ODE solver of order 10	2008	Truong Nguyen-Ba Vladan Bozic Emmanuel Kengne Rémi Vaillancourt
+	Hermite–Birkhoff–Obrechkoff four-stage four-step ODE solver of order 14 with quantized step size	2008	Truong Nguyen-Ba P. W. Sharp Rémi Vaillancourt
+	One-step 9-stage hermite-birtchoff-taylor ode solver of order 11	2008	Vladan Bozic A. Przybyło Truong Nguyen-Ba Rémi Vaillancourt
+ PDF Chat	Permutable functions concerning differential equations	2007	Xin-Hou Hua Rémi Vaillancourt X. L. Wang
+	Hermite-Birkhoff-Obrechkoff 3-stage 4-step ODE solver of order14 with quantized stepsize	2007	Truong Nguyen-Ba P. W. Sharp Hemza Yagoub Rémi Vaillancourt
+	Ginzburg-Landau system of complex modulation equations for distributed nonlinear dissipative transmission lines	2006	Emmanuel Kengne Rémi Vaillancourt
+ PDF Chat	Complex singular wishart matrices and applications	2005	Tharmalingam Ratnarajah Rémi Vaillancourt
+	Quadratic Forms on Complex Random Matrices and Multiple-Antenna Systems	2005	Tharmalingam Ratnarajah Rémi Vaillancourt
+ PDF Chat	Complex random matrices and Rician channel capacity	2005	Tharmalingam Ratnarajah Rémi Vaillancourt Mayer Alvo
+	Uniqueness of Meromorphic Functions	2005	Günter Frank Xin-Hou Hua Rémi Vaillancourt
+ PDF Chat	Meromorphic Functions Sharing the Same Zeros and Poles	2004	Günter Frank Xin-Hou Hua Rémi Vaillancourt
+	Pseudodifferential operators in ᵖ(ℝⁿ)	2004	Ryuichi Ashino Michihiro Nagase Rémi Vaillancourt
+	Quadratic forms on complex random matrices and channel capacity	2004	Tharmalingam Ratnarajah Rémi Vaillancourt
+ PDF Chat	Fonctions méromorphes aux zéros et pôles communs	2004	Günter Frank Xin-Hou Hua Rémi Vaillancourt
+	Quadratic Forms on Complex Random Matrices and Multi-Antenna Channel Capacity	2004	Tharmalingam Ratnarajah Rémi Vaillancourt
+	Representation of differential operators in wavelet basis	2004	Mohamed Ali Hajji S. Melkonian Rémi Vaillancourt
+ PDF Chat	Pseudo-Differential Operators, Microlocal Analysis and Image Restoration	2004	Ryuichi Ashino J. Desjardins Chris Heil Michihiro Nagase Rémi Vaillancourt
+ PDF Chat	Eigenvalues and Condition Numbers of Complex Random Matrices	2004	Tharmalingam Ratnarajah Rémi Vaillancourt Mayer Alvo
+	Micrological analysis, smooth frames and denoising in Fourier space	2004	Ryuichi Ashino Steven J. Desjardins Christopher Heil Michihiro Nagase Rémi Vaillancourt
+	Smooth tight frame wavelets and image microanalyis in the fourier domain	2003	Ryuichi Ashino Steven J. Desjardins Christopher Heil M. Nagase Rémi Vaillancourt
+ PDF Chat	Complex random matrices and Rayleigh channel capacity	2003	Tharmalingam Ratnarajah Rémi Vaillancourt Mayer Alvo
+	Topics in complex random matrices and information theory	2003	Rémi Vaillancourt Mayer Alvo Tharmalingam Ratnarajah
+	Image restoration through microlocal analysis with smooth tight wavelet frames (Theoretical development and feasibility of mathematical analysis on the computer)	2002	Ryuichi Ashino Steven J. Desjardins Christopher Heil Michihiro Nagase Rémi Vaillancourt
+	Radau Ode Solvers with Hermite–Birkhoff Predictors	2001	Rémi Vaillancourt
+	Microlocal filtering with multiwavelets	2001	Ryuichi Ashino Christopher Heil M. Nagase Rémi Vaillancourt
+	Adaptive techniques for semiconductor equations with a Raviart-Thomas element	2001	Abderrazzak El Boukili A. Madrane Rémi Vaillancourt
+	Behind and beyond the Matlab ODE suite	2000	Ryuichi Ashino M. Nagase Rémi Vaillancourt
+	Nonseparable biorthogonal wavelet bases of 𝐿²(ℝⁿ)	1999	Abderrazek Karoui Rémi Vaillancourt
+	GABOR,WAVELET AND CHIRPLET TRANSFORMS IN THE STUDY OF PSEUDODIFFERENTIAL OPERATORS(Structure of Solutions for Partial Differential Equations)	1998	Ryuichi Ashino Michihiro Nagase Rémi Vaillancourt
+	A construction of multiwavelets	1996	Ryuichi Ashino M. Nagase Rémi Vaillancourt
+	A numerical method for vanishing-lag delay differential equations	1995	Abderrazek Karoui Rémi Vaillancourt
+	A composite polynomial zerofinding matrix algorithm	1995	Fadi. Malek Rémi Vaillancourt
+	McClellan transformation and the construction of biorthogonal wavelet bases of L2R2	1995	Abderrazek Karoui Rémi Vaillancourt
+	Polynomial zerofinding iterative matrix algorithms	1995	Fadi. Malek Rémi Vaillancourt
+	A computer search for simple multi-dimensional wavelets	1994	Ryuichi Ashino M. Nagase Rémi Vaillancourt
+	Families of biorthogonal wavelets	1994	Abderrazek Karoui Rémi Vaillancourt
+	Computer solutions of state-dependent delay differential equations	1994	Abderrazek Karoui Rémi Vaillancourt
+	Asymptotic Methods in Mechanics	1993	Rémi Vaillancourt Andrei L. Smirnov
+	Rational transformation from Schur to Jordan form	1992	James Lucien Howland Rémi Vaillancourt
+	Selective solutions to transcendental equations	1991	Nasser Doual James Lucien Howland Rémi Vaillancourt
+	Interpolants for Runge-Kutta pairs of order four and five	1990	Martine. Calvé Rémi Vaillancourt
+	A combined unsteady method for the determination of thermal conductivity of gases and fluids	1990	Andrei Kolyshkin Evgeny G. Okoulich-Kazarin Rémi Vaillancourt
+	Global Iterative Solutions of Elementary Transcendental Equations	1988	Nasser Doual James Lucien Howland Rémi Vaillancourt
+	A Class of Bounded Pseudo-Differential Operators	1972	Alberto P. Calderón Rémi Vaillancourt
+ PDF Chat	On the boundedness of pseudo-differential operators	1971	Alberto P. Calderón Rémi Vaillancourt
+	A simple proof of lax‐nirenberg theorems	1970	Rémi Vaillancourt
+ PDF Chat	On the stability of Friedrichs’ scheme and the modified Lax-Wendroff scheme	1970	Rémi Vaillancourt
+ PDF Chat	A strong form of Yamaguti and Nogi's stability theorem for Friedrichs' scheme	1969	Rémi Vaillancourt
+	Pseudo-differential operators : an introduction : lectures given in 1967-68 at the Courant Institute	1968	K. O. Friedrichs Rémi Vaillancourt
+ PDF Chat	A simple technique for coding differential equations	1960	P. Sefton Rémi Vaillancourt

Common Coauthors

Coauthor	Papers Together
Truong Nguyen-Ba	28
Ryuichi Ashino	16
Thierry Giordano	12
Tharmalingam Ratnarajah	8
Huong Nguyen-Thu	7
Andrei L. Smirnov	7
Hemza Yagoub	7
Mawardi Bahri	6
С. М. Бауэр	6
П. Е. Товстик	6
S. B. Filippov	6
M. Nagase	5
Xin-Hou Hua	5
Abderrazek Karoui	5
Vladan Bozic	5
Emmanuel Kengne	5
Michihiro Nagase	5
Christopher Heil	4
Steven J. Desjardins	4
Mayer Alvo	4
Hao Han	3
James Lucien Howland	3
Günter Frank	3
P. W. Sharp	3
Fadi. Malek	2
Nasser Doual	2
Ilias Kotsireas	2
A. Madrane	2
Roderick Melnik	2
Abdulrahman Karouma	2
Brian West	2
Alberto P. Calderón	2
Lucy Campbell	1
Xiantao Wang	1
Evgeny G. Okoulich-Kazarin	1
Chris Heil	1
J. Desjardins	1
P. Sefton	1
Martine. Calvé	1
K. O. Friedrichs	1
Eckhard Hitzer	1
S. Melkonian	1
Abdulrahman Alzahrani	1
Mohamed Ali Hajji	1
Hong Hao	1
Andrei Kolyshkin	1
Abderrazzak El Boukili	1
X. L. Wang	1
A. Przybyło	1
Donald Alexander McLaren	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Comparing Numerical Methods for Ordinary Differential Equations	1972	T. E. Hull W. H. Enright B. M. Fellen A. E. Sedgwick	16
+	High order embedded Runge-Kutta formulae	1981	P.J. Prince John R. Dormand	12
+	VSVO formulation of the taylor method for the numerical solution of ODEs	2005	Roberto Barrio Fernando Blesa Martı́n Lara	12
+ PDF Chat	Numerical comparisons of some explicit Runge-Kutta pairs of orders 4 through 8	1991	P. W. Sharp	12
+ PDF Chat	Solving Ordinary Differential Equations Using Taylor Series	1982	George F. Corliss Yao‐Feng Chang	10
+	Automatic programming of recurrent power series	1999	Martı́n Lara A. Elipe M. Palacios	9
+	Sensitivity Analysis of ODES/DAES Using the Taylor Series Method	2006	Roberto Barrio	9
+ PDF Chat	Solving ordinary differential equations I. nonstiff problems	1987	Ernst Hairer Syvert P. Nørsett Gerhard Wanner	9
+	A one-step 7-stage Hermite–Birkhoff–Taylor ODE solver of order 11	2009	Truong Nguyen-Ba Vladan Bozic Emmanuel Kengne Rémi Vaillancourt	9
+	None	2003	Jens Hoefkens Martin Berz Kyoko Makino	8
+	Validated solutions of initial value problems for ordinary differential equations	1999	Nedialko S. Nedialkov Kenneth R. Jackson George F. Corliss	8
+	Strong stability preserving hybrid methods	2008	Chengming Huang	8
+	High Order Strong Stability Preserving Time Discretizations	2008	Sigal Gottlieb David I. Ketcheson Chi‐Wang Shu	7
+ PDF Chat	Distributions of Matrix Variates and Latent Roots Derived from Normal Samples	1964	A. T. James	7
+	Aspects of Multivariate Statistical Theory	1984	Leon Jay Gleser Robb J. Muirhead	7
+	Strong Stability-Preserving High-Order Time Discretization Methods	2001	Sigal Gottlieb Chi‐Wang Shu Eitan Tadmor	6
+ PDF Chat	Quaternion Fourier Transform on Quaternion Fields and Generalizations	2007	Eckhard Hitzer	6
+ PDF Chat	Continuous and Discrete Wavelet Transforms	1989	Christopher Heil David F. Walnut	6
+	Performance of the Taylor series method for ODEs/DAEs	2004	Roberto Barrio	6
+	Aspects of Multivariate Statistical Theory	1982	Robb J. Muirhead	6
+ PDF Chat	On Certain Distribution Problems Based on Positive Definite Quadratic Functions in Normal Vectors	1966	C. G. Khatri	6
+ PDF Chat	The Calogero-Sutherland Model and Generalized Classical Polynomials	1997	T. H. Baker Peter J. Forrester	5
+	Clifford Fourier Transform on Multivector Fields and Uncertainty Principles for Dimensions n = 2 (mod 4) and n = 3 (mod 4)	2008	Eckhard Hitzer Mawardi Bahri	5
+	An uncertainty principle for quaternion Fourier transform	2008	Mawardi Bahri Eckhard Hitzer A. Hayashi Ryuichi Ashino	5
+	Efficient implementation of essentially non-oscillatory shock-capturing schemes, II	1989	Chi‐Wang Shu Stanley Osher	5
+ PDF Chat	Two FORTRAN packages for assessing initial value methods	1987	W. H. Enright John D. Pryce	5
+	Efficient implementation of quaternion Fourier transform, convolution, and correlation by 2-D complex FFT	2001	Soo‐Chang Pei Jian–Jiun Ding Ja-Han Chang	5
+ PDF Chat	Efficient implementation of essentially non-oscillatory shock-capturing schemes	1988	Chi‐Wang Shu Stanley Osher	5
+ PDF Chat	Complex random matrices and Rayleigh channel capacity	2003	Tharmalingam Ratnarajah Rémi Vaillancourt Mayer Alvo	5
+	The Numerical Analysis of Ordinary Differential Equations; Runge-Kutta and General Linear Methods.	1988	Kenneth R. Jackson J. C. Butcher	5
+	Numerical Methods for Ordinary Differential Systems: The Initial Value Problem	1991	J. D. Lambert	5
+	Three-stage Hermite-Birkhoff-Taylor ODE solver with a C++ program	2008	Vladan Bozic	5
+ PDF Chat	A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods	2005	Àngel Jorba Maorong Zou	4
+ PDF Chat	Orthonormal bases of compactly supported wavelets	1988	Ingrid Daubechies	4
+	Computational Methods in Ordinary Differential Equations	1973	J. D. Lambert	4
+	High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws	1984	P. K. Sweby	4
+ PDF Chat	Multiresolution approximations and wavelet orthonormal bases of 𝐿²(𝑅)	1989	Stéphane Mallat	4
+	A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods	2002	Raymond J. Spiteri Steven J. Ruuth	4
+	Clifford Algebra-Valued Wavelet Transform on Multivector Fields	2010	Mawardi Bahri Sriwulan Adji Jiman Zhao	4
+	Solving Ordinary Differential Equations II: Stiff and Differential - Algebraic Problems	1991	Ernst Hairer Gerhard Wanner	4
+ PDF Chat	Highly Efficient Strong Stability-Preserving Runge–Kutta Methods with Low-Storage Implementations	2008	David I. Ketcheson	4
+	None	2002	Steven J. Ruuth Raymond J. Spiteri	4
+	Quadpack: A Subroutine Package for Automatic Integration	2011	Robert Piessens Elise de Doncker-Kapenga Christoph Überhuber David K. Kahaner	4
+ PDF Chat	Directional Uncertainty Principle for Quaternion Fourier Transform	2009	Eckhard Hitzer	4
+	High-Order Strong-Stability-Preserving Runge--Kutta Methods with Downwind-Biased Spatial Discretizations	2004	Steven J. Ruuth Raymond J. Spiteri	4
+	Contractivity of Runge-Kutta methods	1991	J. F. B. M. Kraaijevanger	4
+	Global optimization of explicit strong-stability-preserving Runge-Kutta methods	2005	Steven J. Ruuth	4
+	Non-linear evolution using optimal fourth-order strong-stability-preserving Runge–Kutta methods	2003	Raymond J. Spiteri Steven J. Ruuth	4
+	A characterization of functions that generate wavelet and related expansion	1997	Michael Frazier Gustavo Garrigós Kunchuan Wang Guido Weiss	4
+	Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations	2011	Sigal Gottlieb David I. Ketcheson Chi‐Wang Shu	4