Edit Profile (opens in new tab) Vaillancourt, Rémi Co-Author Distance Author ID: vaillancourt.remi Published as: Vaillancourt, Rémi; Vaillancourt, R.; Vaillancourt, Remi more...less Documents Indexed: 152 Publications since 1960, including 4 Books 2 Contributions as Editor · 1 Further Contribution Reviewing Activity: 422 Reviews Co-Authors: 58 Co-Authors with 148 Joint Publications 1,152 Co-Co-Authors all top 5 Co-Authors 6 single-authored 31 Kolyshkin, Andrei A. 30 Nguyen-Ba, Truong 25 Ashino, Ryuichi 15 Kengne, Emmanuel 13 Nagase, Michihiro 10 Giordano, Thierry 9 Karoui, Abderrazek 8 Antimirov, Maximilian Ya. 7 Howland, James Lucien 7 Yagoub, Hemza 6 Bahri, Mawardi 6 Ratnarajah, Tharmalingam 5 Bozic, Vladan 5 Hao, Han 5 Hua, Xinhou 5 Nguyen-Thu, Huong 4 Alvo, Mayer 4 Desjardins, Steven J. 4 Heil, Christopher E. 4 Lakhssassi, Ahmed 4 Malek, Fadi 4 Morimoto, Akira 3 Hajji, Mohamed Ali 3 Liu, Wuming 3 Sharp, Philip W. 2 Calderon, Alberto Pedro 2 Derun, E. N. 2 Doual, Nasser 2 Frank, Günter 2 Gélinas, Sylvie 2 Madrane, Aziz 2 Melkonian, S. 2 Okoulich-Kazarin, E. G. 2 Smirnov, Andreĭ Leonidovich 2 Wang, Xiaoling 1 Abdulrahman, Alzahrani 1 Ashin, R. 1 Bauer, Svetlana M. M. 1 Calvé, M. 1 Campbell, Lucy J. 1 Filippov, Sergei B. 1 Friedrichs, Kurt Otto 1 Giordanom, T. 1 Heil, Chris 1 Hitzer, Eckhard 1 Karouma, Abdulrahman 1 Kervaire, Michel A. 1 Li, Yi 1 Malomed, Boris A. 1 McLaren, Donald A. 1 Ruedin, Ana M. C. 1 Saffari, Bahman 1 Schoenenberger-Deuel, Johanna 1 Sefton, P. 1 Skigin, Diana C. 1 Slimani, Omar 1 Tovstik, Pëtr Evgen’evich 1 Truong, Nguyen-Ba 1 Zhang, Yu all top 5 Serials 21 Comptes Rendus Mathématiques de l’Académie des Sciences 15 Computers & Mathematics with Applications 14 The Canadian Applied Mathematics Quarterly 6 Applied Mathematics and Computation 4 Acta Universitatis Apulensis. Mathematics - Informatics 3 Journal of Mathematical Physics 3 Journal of Computational and Applied Mathematics 3 International Journal of Wavelets, Multiresolution and Information Processing 3 Cubo 2 International Journal of Modern Physics B 2 Annales des Sciences Mathématiques du Québec 2 Applied Mathematics Notes 2 Applied Numerical Mathematics 2 Comptes Rendus de l’Académie des Sciences. Série I 2 RIMS Kokyuroku 2 International Journal of Pure and Applied Mathematics 2 Journal of Applied Mathematics and Computing 2 Nonlinear Oscillations 2 Journal of Modern Methods in Numerical Mathematics 1 Communications on Pure and Applied Mathematics 1 IEEE Transactions on Information Theory 1 International Journal of Heat and Mass Transfer 1 Israel Journal of Mathematics 1 Journal of the Australian Mathematical Society, Series B 1 Journal of Mathematical Analysis and Applications 1 Problems of Information Transmission 1 Physics of Fluids, A 1 Mathematics of Computation 1 The Arabian Journal for Science and Engineering 1 Calcolo 1 Canadian Journal of Mathematics 1 Computing 1 Journal of the Mathematical Society of Japan 1 Numerische Mathematik 1 Osaka Journal of Mathematics 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Acta Mathematicae Applicatae Sinica. English Series 1 Communications in Applied Numerical Methods 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Communications of the ACM 1 Proceedings of the National Academy of Sciences of the United States of America 1 Celestial Mechanics and Dynamical Astronomy 1 SIAM Journal on Scientific Computing 1 Physics of Fluids 1 Integral Transforms and Special Functions 1 Abstract and Applied Analysis 1 The Arabian Journal for Science and Engineering. Section C: Theme Issues 1 Communications in Nonlinear Science and Numerical Simulation 1 Scientiae Mathematicae Japonicae 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Information 1 Communications in Information and Systems 1 Journal of the Indonesian Mathematical Society 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Journal of the Society for Industrial & Applied Mathematics 1 Complex Variables and Elliptic Equations 1 CRM Monograph Series 1 CRM Proceedings & Lecture Notes 1 ISNM. International Series of Numerical Mathematics 1 International Mathematical Forum 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Axioms 1 JSIAM Letters 1 Computational Methods for Differential Equations all top 5 Fields 69 Numerical analysis (65-XX) 40 Partial differential equations (35-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 25 Ordinary differential equations (34-XX) 22 Information and communication theory, circuits (94-XX) 18 Functions of a complex variable (30-XX) 15 Fluid mechanics (76-XX) 14 Optics, electromagnetic theory (78-XX) 10 Classical thermodynamics, heat transfer (80-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Operator theory (47-XX) 6 Computer science (68-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Special functions (33-XX) 4 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 3 Operations research, mathematical programming (90-XX) 2 Associative rings and algebras (16-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Biology and other natural sciences (92-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 623 times in 510 Documents Cited by ▼ Year ▼ A class of bounded pseudo-differential operators. Zbl 0244.35074Calderon, Alberto P.; Vaillancourt, Remi 157 1972 On the boundedness of pseudo-differential operators. Zbl 0203.45903Calderón, A. P.; Vaillancourt, R. 105 1971 Windowed Fourier transform of two-dimensional quaternionic signals. Zbl 1196.42009Bahri, Mawardi; Hitzer, Eckhard S. M.; Ashino, Ryuichi; Vaillancourt, Rémi 28 2010 Two-dimensional quaternion wavelet transform. Zbl 1232.65192Bahri, Mawardi; Ashino, Ryuichi; Vaillancourt, Rémi 24 2011 Pseudo-differential operators. An introduction. Lectures given in 1967- 1968 at the Courant Institute. Notes prepared with the assistance of R. Vaillancourt. 2nd revised ed. Zbl 0226.47028Friedrichs, K. O. 18 1970 Behind and beyond the MATLAB ODE suite. Zbl 0955.65055Ashino, R.; Nagase, M.; Vaillancourt, R. 17 2000 Eigenvalues and condition numbers of complex random matrices. Zbl 1086.15025Ratnarajah, T.; Vaillancourt, R.; Alvo, M. 16 2005 Continuous quaternion Fourier and wavelet transforms. Zbl 1301.42015Bahri, Mawardi; Ashino, Ryuichi; Vaillancourt, Rémi 15 2014 Polynomial zerofinding iterative matrix algorithms. Zbl 0812.65039Malek, F.; Vaillancourt, R. 14 1995 Convective instability boundary of Couette flow between rotating porous cylinders with axial and radial flows. Zbl 1185.76596Kolyshkin, A. A.; Vaillancourt, Rémi 11 1997 Complex singular Wishart matrices and applications. Zbl 1088.15013Ratnarajah, T.; Vaillancourt, R. 10 2005 Convolution theorems for quaternion Fourier transform: properties and applications. Zbl 1297.42015Bahri, Mawardi; Ashino, Ryuichi; Vaillancourt, Rémi 9 2013 Asymptotic methods in mechanics of solids. Zbl 1330.34001Bauer, Svetlana M.; Filippov, Sergei B.; Smirnov, Andrei L.; Tovstik, Petr E.; Vaillancourt, Rémi 9 2015 A composite polynomial zerofinding matrix algorithm. Zbl 0846.65021Malek, F.; Vaillancourt, R. 9 1995 A simple proof of Lax-Nirenberg theorems. Zbl 0188.41202Vaillancourt, R. 8 1970 On the stability of Friedrich’s scheme and the modified Lax-Wendroff scheme. Zbl 0228.65070Vaillancourt, Rémi 8 1971 Attractive cycles in the iteration of meromorphic functions. Zbl 0541.30016Howland, James Lucien; Vaillancourt, Rémi 7 1985 Pseudodifferential operators in \(L^p(\mathbb R^n)\) spaces. Zbl 1119.35129Ashino, Ryuichi; Nagase, Michihiro; Vaillancourt, Rémi 7 2004 Complex random matrices and Rician channel capacity. Zbl 1100.94014Ratnarajah, T.; Vaillancourt, R.; Alvo, M. 7 2005 Smooth tight frame wavelets and image microanalysis in the Fourier domain. Zbl 1044.42027Ashino, R.; Desjardins, S. J.; Heil, C.; Nagase, M.; Vaillancourt, R. 6 2003 Exact solutions of the Gross-Pitaevskii equation in periodic potential in the presence of external source. Zbl 1144.81366Kengne, E.; Vaillancourt, R. 6 2007 Propagation of solitary waves on lossy nonlinear transmission lines. Zbl 1165.78312Kengne, E.; Vaillancourt, R. 6 2009 A strong form of Yamaguti and Nogi’s stability theorem for Friedrichs’ scheme. Zbl 0203.44901Vaillancourt, R. 6 1969 Applied integral transforms. Zbl 0787.35006Antimirov, M. Ya.; Kolyshkin, A. A.; Vaillancourt, Rémi 6 1993 Strong-stability-preserving 7-stage Hermite-Birkhoff time-discretization methods. Zbl 1457.65077Nguyen-Ba, Truong; Nguyen-Thu, Huong; Giordano, Thierry; Vaillancourt, Rémi 5 2012 Complex random matrices and Rayleigh channel capacity. Zbl 1079.94002Ratnarajah, T.; Vaillancourt, R.; Alvo, M. 5 2003 Quadratic forms on complex random matrices and multiple-antenna systems. Zbl 1310.94080Ratnarajah, Tharmalingam; Vaillancourt, Remi 5 2005 Complex variables. Zbl 1053.30002Antimirov, M. Ya.; Kolyshkin, A. A.; Vaillancourt, Rémi 5 1998 One-step 4-stage Hermite-Birkhoff-Taylor ODE solver of order 12. Zbl 1168.65366Truong, Nguyen-Ba; Kengne, Emmanuel; Vaillancourt, Rémi 5 2008 Nonseparable biorthogonal wavelet bases of \(L^2({\mathbb{R}}^n)\). Zbl 0967.42022Karoui, Abderrazek; Vaillancourt, Rémi 4 1999 Microlocal filtering with multiwavelets. Zbl 1005.94005Ashino, R.; Heil, C.; Nagase, M.; Vaillancourt, R. 4 2001 Variable-step variable-order 3-stage Hermite-Birkhoff-Obrechkoff ODE solver of order 4 to 14. Zbl 1138.65058Nguyen-Ba, Truong; Yagoub, Hemza; Zhang, Yu; Vaillancourt, Remi 4 2006 Exact solutions for generalized variable-coefficients Ginzburg-Landau equation: application to Bose-Einstein condensates with multi-body interatomic interactions. Zbl 1278.35235Kengne, E.; Lakhssassi, A.; Vaillancourt, R.; Liu, Wu-Ming 4 2012 A numerical method for vanishing-lag delay differential equations. Zbl 0834.65054Karoui, Abderrazek; Vaillancourt, Rémi 4 1995 Pryce pre-analysis adapted to some DAE solvers. Zbl 1217.65160Nguyen-Ba, T.; Yagoub, H.; Hao, H.; Vaillancourt, R. 3 2011 Representation of differential operators in wavelet basis. Zbl 1075.47028Hajji, M. A.; Melkonian, S.; Vaillancourt, R. 3 2004 One-step 5-stage Hermite-Birkhoff-Taylor ODE solver of order 12. Zbl 1162.65368Nguyen-Ba, Truong; Hao, Han; Yagoub, Hemza; Vaillancourt, Rémi 3 2009 Strong-stability-preserving 3-stage Hermite-Birkhoff time-discretization methods. Zbl 1206.65222Nguyen-Ba, Truong; Nguyen-Thu, Huong; Giordano, Thierry; Vaillancourt, Rémi 3 2011 Contractivity-preserving explicit Hermite-Obrechkoff ODE solver of order 13. Zbl 1284.65087Nguyen-Ba, Truong; Desjardins, Steven J.; Sharp, Philip W.; Vaillancourt, Rémi 3 2013 Computer solutions of state-dependent delay differential equations. Zbl 0792.65049Karoui, A.; Vaillancourt, R. 3 1994 On the stability of nonisothermal circular Couette flow. Zbl 0810.76024Kolyshkin, A. A.; Vaillancourt, Rémi 3 1993 Families of biorthogonal wavelets. Zbl 0801.42027Karoui, A.; Vaillancourt, R. 3 1994 McClellan transformation and the construction of biorthogonal wavelet bases of \(L^ 2 (\mathbb{R}^ 2)\). Zbl 0854.42026Karoui, A.; Vaillancourt, R. 3 1995 A construction of multiwavelets. Zbl 0856.42023Ashino, R.; Nagase, M.; Vaillancourt, R. 3 1996 Complex random matrices and applications. Zbl 1057.94006Ratnarajah, T.; Vaillancourt, R.; Alvo, M. 2 2003 Meromorphic functions sharing the same zeros and poles. Zbl 1065.30027Frank, Günter; Hua, Xinhou; Vaillancourt, Rémi 2 2004 Recherche globale des zéros d’une fonction entière par la théorie de Fatou-Baker. (Global research of zeros of an entire function on Fatou- Baker). Zbl 0723.30021Gélinas, Sylvie; Vaillancourt, Rémi 2 1990 Temperature distribution in living biological tissue simultaneously subjected to oscillatory surface and spatial heating: analytical and numerical analysis. Zbl 1254.80006Kengne, Emmanuel; Lakhssassi, Ahmed; Vaillancourt, Rémi 2 2012 Modulational instability and exact soliton and periodic solutions for two weakly coupled effectively 1D condensates trapped in a double-well potential. Zbl 1195.82007Kengne, E.; Vaillancourt, R.; Malomed, B. A. 2 2010 One-step 9-stage Hermite-Birkhoff-Taylor ODE solver of order 10. Zbl 1177.65104Nguyen-Ba, Truong; Bozic, Vladan; Kengne, Emmanuel; Vaillancourt, Rémi 2 2009 Variable-step variable-order 3-stage Hermite-Birkhoff-Obrechkoff DDE solver of order 4 to 14. Zbl 1220.65086Yagoub, Hemza; Nguyen-Ba, Truong; Vaillancourt, Rémi 2 2011 Transmission of solitary pulse in dissipative nonlinear transmission lines. Zbl 1221.35395Kengne, E.; Vaillancourt, R. 2 2009 A one-step 7-stage Hermite-Birkhoff-Taylor ODE solver of order 11. Zbl 1188.65097Nguyen-Ba, Truong; Bozic, Vladan; Kengne, Emmanuel; Vaillancourt, Rémi 2 2010 Variable-step variable-order 3-stage Hermite-Birkhoff ODE solver of order to 5 to 15. Zbl 1138.65057Nguyen-Ba, Truong; Yagoub, Hemza; Li, Yi; Vaillancourt, Remi 2 2006 Three-stage Hermite-Birkhoff solver of order 8 and 9 with variable step size for stiff ODEs. Zbl 1323.65083Nguyen-Ba, Truong; Giordano, Thierry; Vaillancourt, Rémi 2 2015 Exact wave solutions for Bose-Einstein condensates with time-dependent scattering length and spatiotemporal complicated potential. Zbl 1282.81078Kengne, E.; Lakhssassi, A.; Vaillancourt, R.; Liu, Wu-Ming 2 2013 Series expansions of induced potentials. Zbl 0167.40202Howland, J. L.; Vaillancourt, R. 2 1966 Selective solutions to transcendental equations. Zbl 0753.65038Doual, Nasser; Howland, James L.; Vaillancourt, Rémi 2 1991 Global iterative solutions of elementary transcendental equations. Zbl 0655.65073Doual, Nasser; Howland, James L.; Vaillancourt, Rémi 1 1988 Une méthode de détection de nouveaux polynômes vérifiant l’identité de Rudin-Shapiro. (A method for detecting new polynomials which satisfy the Rudin-Shapiro identity). Zbl 0591.42018Kervaire, Michel; Saffari, Bahman; Vaillancourt, Rémi 1 1986 A note on a method of solution for convective stability problems. Zbl 0668.76052Kolyshkin, A. A.; Vaillancourt, Rémi 1 1989 Application of Julia-Fatou iteration theory in dielectric spectroscopy. Zbl 0701.65036Gélinas, Sylvie; Vaillancourt, Rémi 1 1990 A generalized curve-fitting procedure. Zbl 0125.36201Howland, J. L.; Vaillancourt, R. 1 1961 One-step 9-stage Hermite-Birkhoff-Taylor DAE solver of order 10. Zbl 1215.65129Nguyen-Ba, Truong; Hao, Han; Yagoub, Hemza; Vaillancourt, Rémi 1 2011 Pseudo-differential operators, microlocal analysis and image restoration. Zbl 1075.35125Ashino, Ryuichi; Desjardins, Steven J.; Heil, Chris; Nagase, Michihiro; Vaillancourt, Rémi 1 2004 Two-dimensional wavelet bases for partial differential operators and applications. Zbl 1065.65121Hajji, M. A.; Melkonian, S.; Vaillancourt, Rémi 1 2004 Microlocal analysis and multiwavelets. Zbl 0986.42024Ashino, Ryuichi; Heil, Christopher; Nagase, Michihiro; Vaillancourt, Rémi 1 2001 Mean breakdown points for compressed sensing by uniformly distributed matrices. Zbl 1271.65075Ashino, Ryuichi; Vaillancourt, Rémi 1 2010 Multiwavelets, pseudodifferential operators and microlocal analysis. Zbl 0997.42021Ashino, Ryuichi; Heil, Christopher; Nagase, Michihiro; Vaillancourt, Rémi 1 2002 Flots sur le tore bidimensionnel. Zbl 0373.35008Schoenenberger-Deuel, Johanna; Vaillancourt, Remi 1 1978 Pre-processing design for multiwavelet filters using neural networks. Zbl 1078.94005Morimoto, Akira; Ashino, Ryuichi; Vaillancourt, Rémi 1 2004 Hermite-Birkhoff-Obrechkoff four-stage four-step ODE solver of order 14 with quantized step size. Zbl 1153.65071Nguyen, Ba Truong; Sharp, Philip W.; Vaillancourt, Rémi 1 2008 Nine-stage multi-derivative Runge-Kutta method of order 12. Zbl 1265.65134Nguyen-Ba, Truong; Božić, Vladan; Kengne, Emmanuel; Vaillancourt, Rémi 1 2009 A three-stage, VSVO, Hermite-Birkhoff-Taylor, ODE solver. Zbl 1187.65075Bozic, Vladan; Nguyen-Ba, Truong; Vaillancourt, Rémi 1 2010 Hermite-Birkhoff-Obrechkoff 3-stage 6-step ODE solver of order 14. Zbl 1128.65058Nguyen-Ba, Truong; Vaillancourt, Rémi 1 2005 Three-dimensional adaptive central schemes on unstructured staggered grids. Zbl 1197.76084Madrane, Aziz; Vaillancourt, Rémi 1 2009 One-step 4-stage Hermite-Birkhoff-Taylor DAE solver of order 12. Zbl 1200.65009Nguyen-Ba, Truong; Hao, Han; Yagoub, Hemza; Vaillancourt, Rémi 1 2008 One-step 7-stage Hermite-Birkhoff-Taylor ODE solver of order 13. Zbl 1142.65059Nguyen-Ba, Truong; Bozic, Vladan; Vaillancourt, Rémi 1 2008 Permutable functions concerning differential equations. Zbl 1154.30022Hua, X.; Vaillancourt, R.; Wang, X. L. 1 2007 On the dynamics of a meromorphic function. Zbl 0733.58032Howland, James L.; Thompson, Alan; Vaillancourt, Rémi 1 1990 Perturbation methods in eddy current testing. Zbl 0795.35122Antimirov, Maximilian Ya.; Kolyshkin, Andrei A.; Vaillancourt, Rémi 1 1993 A computer search for simple multi-dimensional wavelets. Zbl 0801.42028Ashino, R.; Nagase, M.; Vaillancourt, R. 1 1994 Strong-stability-preserving, Hermite-Birkhoff time-discretization based on \(k\) step methods and 8-stage explicit Runge-Kutta methods of order 5 and 4. Zbl 1301.65074Nguyen-Thu, Huong; Nguyen-Ba, Truong; Vaillancourt, Rémi 1 2014 A sequential, implicit, wavelet-based solver for multi-scale time-dependent partial differential equations. Zbl 1297.65111McLaren, Donald A.; Campbell, Lucy J.; Vaillancourt, Rémi 1 2013 Linear stability of Couette-Poiseuille flow between rotating permeable cylinders. Zbl 0875.76095Kolyshkin, A. A.; Vaillancourt, Rémi 1 1996 On the conditioning of a composite polynomial zerofinding matrix algorithm. Zbl 0839.65062Malek, Fadi; Vaillancourt, Rémi 1 1995 Bounded pseudo-differential operators. Proc. internat. Sympos. partial diff. Equ. Geometry normed lin. Spaces I. Zbl 0247.35103Vaillancourt, Remi 1 1973 Asymptotic methods in mechanics of solids. Zbl 1330.34001Bauer, Svetlana M.; Filippov, Sergei B.; Smirnov, Andrei L.; Tovstik, Petr E.; Vaillancourt, Rémi 9 2015 Three-stage Hermite-Birkhoff solver of order 8 and 9 with variable step size for stiff ODEs. Zbl 1323.65083Nguyen-Ba, Truong; Giordano, Thierry; Vaillancourt, Rémi 2 2015 Continuous quaternion Fourier and wavelet transforms. Zbl 1301.42015Bahri, Mawardi; Ashino, Ryuichi; Vaillancourt, Rémi 15 2014 Strong-stability-preserving, Hermite-Birkhoff time-discretization based on \(k\) step methods and 8-stage explicit Runge-Kutta methods of order 5 and 4. Zbl 1301.65074Nguyen-Thu, Huong; Nguyen-Ba, Truong; Vaillancourt, Rémi 1 2014 Convolution theorems for quaternion Fourier transform: properties and applications. Zbl 1297.42015Bahri, Mawardi; Ashino, Ryuichi; Vaillancourt, Rémi 9 2013 Contractivity-preserving explicit Hermite-Obrechkoff ODE solver of order 13. Zbl 1284.65087Nguyen-Ba, Truong; Desjardins, Steven J.; Sharp, Philip W.; Vaillancourt, Rémi 3 2013 Exact wave solutions for Bose-Einstein condensates with time-dependent scattering length and spatiotemporal complicated potential. Zbl 1282.81078Kengne, E.; Lakhssassi, A.; Vaillancourt, R.; Liu, Wu-Ming 2 2013 A sequential, implicit, wavelet-based solver for multi-scale time-dependent partial differential equations. Zbl 1297.65111McLaren, Donald A.; Campbell, Lucy J.; Vaillancourt, Rémi 1 2013 Strong-stability-preserving 7-stage Hermite-Birkhoff time-discretization methods. Zbl 1457.65077Nguyen-Ba, Truong; Nguyen-Thu, Huong; Giordano, Thierry; Vaillancourt, Rémi 5 2012 Exact solutions for generalized variable-coefficients Ginzburg-Landau equation: application to Bose-Einstein condensates with multi-body interatomic interactions. Zbl 1278.35235Kengne, E.; Lakhssassi, A.; Vaillancourt, R.; Liu, Wu-Ming 4 2012 Temperature distribution in living biological tissue simultaneously subjected to oscillatory surface and spatial heating: analytical and numerical analysis. Zbl 1254.80006Kengne, Emmanuel; Lakhssassi, Ahmed; Vaillancourt, Rémi 2 2012 Two-dimensional quaternion wavelet transform. Zbl 1232.65192Bahri, Mawardi; Ashino, Ryuichi; Vaillancourt, Rémi 24 2011 Pryce pre-analysis adapted to some DAE solvers. Zbl 1217.65160Nguyen-Ba, T.; Yagoub, H.; Hao, H.; Vaillancourt, R. 3 2011 Strong-stability-preserving 3-stage Hermite-Birkhoff time-discretization methods. Zbl 1206.65222Nguyen-Ba, Truong; Nguyen-Thu, Huong; Giordano, Thierry; Vaillancourt, Rémi 3 2011 Variable-step variable-order 3-stage Hermite-Birkhoff-Obrechkoff DDE solver of order 4 to 14. Zbl 1220.65086Yagoub, Hemza; Nguyen-Ba, Truong; Vaillancourt, Rémi 2 2011 One-step 9-stage Hermite-Birkhoff-Taylor DAE solver of order 10. Zbl 1215.65129Nguyen-Ba, Truong; Hao, Han; Yagoub, Hemza; Vaillancourt, Rémi 1 2011 Windowed Fourier transform of two-dimensional quaternionic signals. Zbl 1196.42009Bahri, Mawardi; Hitzer, Eckhard S. M.; Ashino, Ryuichi; Vaillancourt, Rémi 28 2010 Modulational instability and exact soliton and periodic solutions for two weakly coupled effectively 1D condensates trapped in a double-well potential. Zbl 1195.82007Kengne, E.; Vaillancourt, R.; Malomed, B. A. 2 2010 A one-step 7-stage Hermite-Birkhoff-Taylor ODE solver of order 11. Zbl 1188.65097Nguyen-Ba, Truong; Bozic, Vladan; Kengne, Emmanuel; Vaillancourt, Rémi 2 2010 Mean breakdown points for compressed sensing by uniformly distributed matrices. Zbl 1271.65075Ashino, Ryuichi; Vaillancourt, Rémi 1 2010 A three-stage, VSVO, Hermite-Birkhoff-Taylor, ODE solver. Zbl 1187.65075Bozic, Vladan; Nguyen-Ba, Truong; Vaillancourt, Rémi 1 2010 Propagation of solitary waves on lossy nonlinear transmission lines. Zbl 1165.78312Kengne, E.; Vaillancourt, R. 6 2009 One-step 5-stage Hermite-Birkhoff-Taylor ODE solver of order 12. Zbl 1162.65368Nguyen-Ba, Truong; Hao, Han; Yagoub, Hemza; Vaillancourt, Rémi 3 2009 One-step 9-stage Hermite-Birkhoff-Taylor ODE solver of order 10. Zbl 1177.65104Nguyen-Ba, Truong; Bozic, Vladan; Kengne, Emmanuel; Vaillancourt, Rémi 2 2009 Transmission of solitary pulse in dissipative nonlinear transmission lines. Zbl 1221.35395Kengne, E.; Vaillancourt, R. 2 2009 Nine-stage multi-derivative Runge-Kutta method of order 12. Zbl 1265.65134Nguyen-Ba, Truong; Božić, Vladan; Kengne, Emmanuel; Vaillancourt, Rémi 1 2009 Three-dimensional adaptive central schemes on unstructured staggered grids. Zbl 1197.76084Madrane, Aziz; Vaillancourt, Rémi 1 2009 One-step 4-stage Hermite-Birkhoff-Taylor ODE solver of order 12. Zbl 1168.65366Truong, Nguyen-Ba; Kengne, Emmanuel; Vaillancourt, Rémi 5 2008 Hermite-Birkhoff-Obrechkoff four-stage four-step ODE solver of order 14 with quantized step size. Zbl 1153.65071Nguyen, Ba Truong; Sharp, Philip W.; Vaillancourt, Rémi 1 2008 One-step 4-stage Hermite-Birkhoff-Taylor DAE solver of order 12. Zbl 1200.65009Nguyen-Ba, Truong; Hao, Han; Yagoub, Hemza; Vaillancourt, Rémi 1 2008 One-step 7-stage Hermite-Birkhoff-Taylor ODE solver of order 13. Zbl 1142.65059Nguyen-Ba, Truong; Bozic, Vladan; Vaillancourt, Rémi 1 2008 Exact solutions of the Gross-Pitaevskii equation in periodic potential in the presence of external source. Zbl 1144.81366Kengne, E.; Vaillancourt, R. 6 2007 Permutable functions concerning differential equations. Zbl 1154.30022Hua, X.; Vaillancourt, R.; Wang, X. L. 1 2007 Variable-step variable-order 3-stage Hermite-Birkhoff-Obrechkoff ODE solver of order 4 to 14. Zbl 1138.65058Nguyen-Ba, Truong; Yagoub, Hemza; Zhang, Yu; Vaillancourt, Remi 4 2006 Variable-step variable-order 3-stage Hermite-Birkhoff ODE solver of order to 5 to 15. Zbl 1138.65057Nguyen-Ba, Truong; Yagoub, Hemza; Li, Yi; Vaillancourt, Remi 2 2006 Eigenvalues and condition numbers of complex random matrices. Zbl 1086.15025Ratnarajah, T.; Vaillancourt, R.; Alvo, M. 16 2005 Complex singular Wishart matrices and applications. Zbl 1088.15013Ratnarajah, T.; Vaillancourt, R. 10 2005 Complex random matrices and Rician channel capacity. Zbl 1100.94014Ratnarajah, T.; Vaillancourt, R.; Alvo, M. 7 2005 Quadratic forms on complex random matrices and multiple-antenna systems. Zbl 1310.94080Ratnarajah, Tharmalingam; Vaillancourt, Remi 5 2005 Hermite-Birkhoff-Obrechkoff 3-stage 6-step ODE solver of order 14. Zbl 1128.65058Nguyen-Ba, Truong; Vaillancourt, Rémi 1 2005 Pseudodifferential operators in \(L^p(\mathbb R^n)\) spaces. Zbl 1119.35129Ashino, Ryuichi; Nagase, Michihiro; Vaillancourt, Rémi 7 2004 Representation of differential operators in wavelet basis. Zbl 1075.47028Hajji, M. A.; Melkonian, S.; Vaillancourt, R. 3 2004 Meromorphic functions sharing the same zeros and poles. Zbl 1065.30027Frank, Günter; Hua, Xinhou; Vaillancourt, Rémi 2 2004 Pseudo-differential operators, microlocal analysis and image restoration. Zbl 1075.35125Ashino, Ryuichi; Desjardins, Steven J.; Heil, Chris; Nagase, Michihiro; Vaillancourt, Rémi 1 2004 Two-dimensional wavelet bases for partial differential operators and applications. Zbl 1065.65121Hajji, M. A.; Melkonian, S.; Vaillancourt, Rémi 1 2004 Pre-processing design for multiwavelet filters using neural networks. Zbl 1078.94005Morimoto, Akira; Ashino, Ryuichi; Vaillancourt, Rémi 1 2004 Smooth tight frame wavelets and image microanalysis in the Fourier domain. Zbl 1044.42027Ashino, R.; Desjardins, S. J.; Heil, C.; Nagase, M.; Vaillancourt, R. 6 2003 Complex random matrices and Rayleigh channel capacity. Zbl 1079.94002Ratnarajah, T.; Vaillancourt, R.; Alvo, M. 5 2003 Complex random matrices and applications. Zbl 1057.94006Ratnarajah, T.; Vaillancourt, R.; Alvo, M. 2 2003 Multiwavelets, pseudodifferential operators and microlocal analysis. Zbl 0997.42021Ashino, Ryuichi; Heil, Christopher; Nagase, Michihiro; Vaillancourt, Rémi 1 2002 Microlocal filtering with multiwavelets. Zbl 1005.94005Ashino, R.; Heil, C.; Nagase, M.; Vaillancourt, R. 4 2001 Microlocal analysis and multiwavelets. Zbl 0986.42024Ashino, Ryuichi; Heil, Christopher; Nagase, Michihiro; Vaillancourt, Rémi 1 2001 Behind and beyond the MATLAB ODE suite. Zbl 0955.65055Ashino, R.; Nagase, M.; Vaillancourt, R. 17 2000 Nonseparable biorthogonal wavelet bases of \(L^2({\mathbb{R}}^n)\). Zbl 0967.42022Karoui, Abderrazek; Vaillancourt, Rémi 4 1999 Complex variables. Zbl 1053.30002Antimirov, M. Ya.; Kolyshkin, A. A.; Vaillancourt, Rémi 5 1998 Convective instability boundary of Couette flow between rotating porous cylinders with axial and radial flows. Zbl 1185.76596Kolyshkin, A. A.; Vaillancourt, Rémi 11 1997 A construction of multiwavelets. Zbl 0856.42023Ashino, R.; Nagase, M.; Vaillancourt, R. 3 1996 Linear stability of Couette-Poiseuille flow between rotating permeable cylinders. Zbl 0875.76095Kolyshkin, A. A.; Vaillancourt, Rémi 1 1996 Polynomial zerofinding iterative matrix algorithms. Zbl 0812.65039Malek, F.; Vaillancourt, R. 14 1995 A composite polynomial zerofinding matrix algorithm. Zbl 0846.65021Malek, F.; Vaillancourt, R. 9 1995 A numerical method for vanishing-lag delay differential equations. Zbl 0834.65054Karoui, Abderrazek; Vaillancourt, Rémi 4 1995 McClellan transformation and the construction of biorthogonal wavelet bases of \(L^ 2 (\mathbb{R}^ 2)\). Zbl 0854.42026Karoui, A.; Vaillancourt, R. 3 1995 On the conditioning of a composite polynomial zerofinding matrix algorithm. Zbl 0839.65062Malek, Fadi; Vaillancourt, Rémi 1 1995 Computer solutions of state-dependent delay differential equations. Zbl 0792.65049Karoui, A.; Vaillancourt, R. 3 1994 Families of biorthogonal wavelets. Zbl 0801.42027Karoui, A.; Vaillancourt, R. 3 1994 A computer search for simple multi-dimensional wavelets. Zbl 0801.42028Ashino, R.; Nagase, M.; Vaillancourt, R. 1 1994 Applied integral transforms. Zbl 0787.35006Antimirov, M. Ya.; Kolyshkin, A. A.; Vaillancourt, Rémi 6 1993 On the stability of nonisothermal circular Couette flow. Zbl 0810.76024Kolyshkin, A. A.; Vaillancourt, Rémi 3 1993 Perturbation methods in eddy current testing. Zbl 0795.35122Antimirov, Maximilian Ya.; Kolyshkin, Andrei A.; Vaillancourt, Rémi 1 1993 Selective solutions to transcendental equations. Zbl 0753.65038Doual, Nasser; Howland, James L.; Vaillancourt, Rémi 2 1991 Recherche globale des zéros d’une fonction entière par la théorie de Fatou-Baker. (Global research of zeros of an entire function on Fatou- Baker). Zbl 0723.30021Gélinas, Sylvie; Vaillancourt, Rémi 2 1990 Application of Julia-Fatou iteration theory in dielectric spectroscopy. Zbl 0701.65036Gélinas, Sylvie; Vaillancourt, Rémi 1 1990 On the dynamics of a meromorphic function. Zbl 0733.58032Howland, James L.; Thompson, Alan; Vaillancourt, Rémi 1 1990 A note on a method of solution for convective stability problems. Zbl 0668.76052Kolyshkin, A. A.; Vaillancourt, Rémi 1 1989 Global iterative solutions of elementary transcendental equations. Zbl 0655.65073Doual, Nasser; Howland, James L.; Vaillancourt, Rémi 1 1988 Une méthode de détection de nouveaux polynômes vérifiant l’identité de Rudin-Shapiro. (A method for detecting new polynomials which satisfy the Rudin-Shapiro identity). Zbl 0591.42018Kervaire, Michel; Saffari, Bahman; Vaillancourt, Rémi 1 1986 Attractive cycles in the iteration of meromorphic functions. Zbl 0541.30016Howland, James Lucien; Vaillancourt, Rémi 7 1985 Flots sur le tore bidimensionnel. Zbl 0373.35008Schoenenberger-Deuel, Johanna; Vaillancourt, Remi 1 1978 Bounded pseudo-differential operators. Proc. internat. Sympos. partial diff. Equ. Geometry normed lin. Spaces I. Zbl 0247.35103Vaillancourt, Remi 1 1973 A class of bounded pseudo-differential operators. Zbl 0244.35074Calderon, Alberto P.; Vaillancourt, Remi 157 1972 On the boundedness of pseudo-differential operators. Zbl 0203.45903Calderón, A. P.; Vaillancourt, R. 105 1971 On the stability of Friedrich’s scheme and the modified Lax-Wendroff scheme. Zbl 0228.65070Vaillancourt, Rémi 8 1971 Pseudo-differential operators. An introduction. Lectures given in 1967- 1968 at the Courant Institute. Notes prepared with the assistance of R. Vaillancourt. 2nd revised ed. Zbl 0226.47028Friedrichs, K. O. 18 1970 A simple proof of Lax-Nirenberg theorems. Zbl 0188.41202Vaillancourt, R. 8 1970 A strong form of Yamaguti and Nogi’s stability theorem for Friedrichs’ scheme. Zbl 0203.44901Vaillancourt, R. 6 1969 Series expansions of induced potentials. Zbl 0167.40202Howland, J. L.; Vaillancourt, R. 2 1966 A generalized curve-fitting procedure. Zbl 0125.36201Howland, J. L.; Vaillancourt, R. 1 1961 all cited Publications top 5 cited Publications all top 5 Cited by 627 Authors 36 Vaillancourt, Rémi 20 Naumkin, Pavel Ivanovich 17 Ashino, Ryuichi 13 Nguyen-Ba, Truong 12 Bahri, Mawardi 11 Tomita, Naohito 10 Ruzhansky, Michael V. 8 Hayashi, Nakao 8 Senoussaoui, Abderrahmane 7 Díaz-García, José Antonio 7 Kato, Tomoya 7 Pan, Victor Yakovlevich 6 Karoui, Abderrazek 6 Kengne, Emmanuel 6 Miyachi, Akihiko 6 Nagase, Michihiro 5 Cardona, Duván 5 Fermanian-Kammerer, Clotilde 5 Fujiwara, Daisuke 5 Giordano, Thierry 5 Gutiérrez-Jáimez, Ramón 5 Nourrigat, Jean Francois 5 Roopkumar, Rajakumar 5 Schrohe, Elmar 5 Sugimoto, Mitsuru 5 Tefjeni, Emna 4 Akila, Lakshmanan 4 Daher, Radouan 4 Ichinose, Wataru 4 Il’in, Konstantin Ivanovich 4 Kalla, Shyam Lal 4 Lakhssassi, Ahmed 4 Li, Fei 4 Liu, Wuming 4 Macià, Fabricio 4 Morgulis, Andrey Borisovich 4 Sánchez-Suárez, Isahi 4 Seeger, Andreas 4 Smirnov, Andreĭ Leonidovich 4 Teofanov, Nenad 3 Achak, Azzedine 3 Aid, Omar Farouk 3 Amour, Laurent 3 Beltran, David 3 Bhatia, Saurabh 3 Brahim, Kamel 3 Cordero, Elena 3 Cordes, Heinz Otto 3 Coriasco, Sandro 3 Coulombel, Jean-François 3 El Haoui, Youssef 3 Gottlieb, Sigal 3 Grant, Zachary J. 3 Greenleaf, Allan 3 Hartmann, Stefan 3 Hashiguchi, Hiroki 3 Heil, Christopher E. 3 Juárez-Campos, Beatriz 3 Kanwar, Vinay 3 Kenig, Carlos Eduardo 3 Koshiba, Zen’ichiro 3 Lerner, Nicolas 3 Li, Bingzhao 3 Lu, Guozhen 3 Lueptow, Richard M. 3 Mandai, Takeshi 3 Mendez Navarro, Jesus A. 3 Menikoff, A. 3 Morimoto, Akira 3 Nguyen-Thu, Huong 3 Ponce, Gustavo 3 Ramos, Higinio 3 Safouane, Najat 3 Seal, David C. 3 Serre, Eric 3 Shida, Naoto 3 Shimizu, Koki 3 Singh, Gurjinder 3 Vega, Luis 3 Wang, Xueping 3 Yagoub, Hemza 3 Zhang, Lu 2 Aitemrar, Chafika Amel 2 Al-Saqabi, Bader N. 2 Aoki, Susumu 2 Asada, Kenji 2 Banouh, Hicham 2 Bauer, Svetlana M. M. 2 Beals, Richard W. 2 Bekker, Andriëtte 2 Belkhadir, A. 2 Beltiţă, Daniel 2 Beltiţă, Ingrid 2 Ben Mabrouk, Anouar 2 Bilotta, Eleonora 2 Bini, Dario Andrea 2 Borovsky, M. A. 2 Bouhlal, Aziz 2 Bove, Antonio 2 Brüning, Jochen ...and 527 more Authors all top 5 Cited in 200 Serials 19 Applied Mathematics and Computation 17 Journal of Functional Analysis 17 Advances in Applied Clifford Algebras 16 Journal of Pseudo-Differential Operators and Applications 15 Computers & Mathematics with Applications 15 Journal of Mathematical Analysis and Applications 14 Communications in Partial Differential Equations 11 Journal of Mathematical Physics 10 Proceedings of the American Mathematical Society 7 Journal of Computational and Applied Mathematics 7 International Journal of Wavelets, Multiresolution and Information Processing 6 Journal of Multivariate Analysis 6 Applied Numerical Mathematics 6 Linear Algebra and its Applications 6 Physics of Fluids 6 The Journal of Fourier Analysis and Applications 6 Proceedings of the Japan Academy 5 Integral Equations and Operator Theory 5 Journal of Differential Equations 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Integral Transforms and Special Functions 5 Abstract and Applied Analysis 4 Journal d’Analyse Mathématique 4 Mathematics of Computation 4 Annales de l’Institut Fourier 4 Manuscripta Mathematica 4 Monatshefte für Mathematik 4 Proceedings of the Japan Academy. Series A 4 Journal of Scientific Computing 4 Communications in Statistics. Theory and Methods 4 Vestnik St. Petersburg University. Mathematics 4 Applied and Computational Harmonic Analysis 3 International Journal of Engineering Science 3 Israel Journal of Mathematics 3 Journal of Fluid Mechanics 3 Mathematical Notes 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Arkiv för Matematik 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Journal of Soviet Mathematics 3 Mathematische Annalen 3 Mathematische Nachrichten 3 Mathematische Zeitschrift 3 Transactions of the American Mathematical Society 3 Forum Mathematicum 3 Numerical Algorithms 3 Bulletin of the American Mathematical Society. New Series 3 Celestial Mechanics and Dynamical Astronomy 3 Turkish Journal of Mathematics 3 Journal of Evolution Equations 3 Journal of Applied Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Random Matrices: Theory and Applications 3 Journal of Function Spaces 3 International Journal of Applied and Computational Mathematics 2 Acta Mechanica 2 Applicable Analysis 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 Reviews in Mathematical Physics 2 Chaos, Solitons and Fractals 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin de la Société Mathématique de France 2 Calcolo 2 Inventiones Mathematicae 2 Memoirs of the American Mathematical Society 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerische Mathematik 2 Osaka Journal of Mathematics 2 Siberian Mathematical Journal 2 Advances in Applied Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Applied Mathematical Modelling 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Mathematical Sciences (New York) 2 Mathematical Problems in Engineering 2 Multibody System Dynamics 2 European Journal of Mechanics. B. Fluids 2 Acta Mathematica Sinica. English Series 2 Communications in Nonlinear Science and Numerical Simulation 2 Mediterranean Journal of Mathematics 2 Complex Variables and Elliptic Equations 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 International Journal of Modern Physics B 1 Analysis Mathematica 1 Geophysical and Astrophysical Fluid Dynamics 1 Indian Journal of Pure & Applied Mathematics 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Metrika 1 Physica A 1 Physics Letters. A 1 Problems of Information Transmission 1 Physics of Fluids, A 1 Bulletin of Mathematical Biology 1 Journal of Geometry and Physics ...and 100 more Serials all top 5 Cited in 47 Fields 232 Partial differential equations (35-XX) 142 Harmonic analysis on Euclidean spaces (42-XX) 126 Operator theory (47-XX) 92 Numerical analysis (65-XX) 55 Functional analysis (46-XX) 41 Quantum theory (81-XX) 30 Fluid mechanics (76-XX) 29 Functions of a complex variable (30-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 25 Global analysis, analysis on manifolds (58-XX) 24 Statistics (62-XX) 22 Integral transforms, operational calculus (44-XX) 22 Information and communication theory, circuits (94-XX) 19 Abstract harmonic analysis (43-XX) 17 Ordinary differential equations (34-XX) 15 Number theory (11-XX) 15 Topological groups, Lie groups (22-XX) 15 Real functions (26-XX) 15 Probability theory and stochastic processes (60-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Mechanics of deformable solids (74-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Integral equations (45-XX) 8 Computer science (68-XX) 7 Differential geometry (53-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Biology and other natural sciences (92-XX) 6 Field theory and polynomials (12-XX) 6 Special functions (33-XX) 6 Mechanics of particles and systems (70-XX) 5 Approximations and expansions (41-XX) 5 Optics, electromagnetic theory (78-XX) 3 Associative rings and algebras (16-XX) 3 Relativity and gravitational theory (83-XX) 3 Geophysics (86-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year