Edit Profile Welfert, Bruno D. Compute Distance To: Compute Author ID: welfert.bruno-d Published as: Welfert, B.; Welfert, B. D.; Welfert, Bruno; Welfert, Bruno D. External Links: MGP · Wikidata Documents Indexed: 43 Publications since 1990 all top 5 Co-Authors 6 single-authored 13 Jackiewicz, Zdzislaw 6 Yalim, Jason 4 Bank, Randolph E. 4 Burrage, Kevin 4 López, Juan Manuel 4 Wu, Ke 3 López, Juan M. 3 Rahman, M. Mahbubur 2 Cardone, Angelamaria 2 in ’t Hout, Karel J. 2 Kojouharov, Hristo V. 2 López, Juan Manuel 2 Owren, Brynjulf 2 Tracogna, S. 1 Braś, Michał 1 Gelb, Arthur 1 Grayer, Hezekiah 1 Hertono, G. 1 Jones, John William 1 Kitsios, Kyriakos 1 Mead, Jodi L. 1 Renaut, Rosemary Anne 1 Spanias, Andreas S. 1 Spijker, Marc N. 1 Steele, Anthony 1 Verner, James H. 1 Yserentant, Harry 1 Zubik-Kowal, Barbara all top 5 Serials 8 Journal of Fluid Mechanics 7 Applied Numerical Mathematics 4 BIT 3 Computer Methods in Applied Mechanics and Engineering 3 Applied Mathematics and Computation 3 Journal of Scientific Computing 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Numerical Analysis 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Mathematics of Computation 1 Numerische Mathematik 1 Signal Processing 1 Linear Algebra and its Applications 1 Advances in Computational Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics all top 5 Fields 31 Numerical analysis (65-XX) 12 Fluid mechanics (76-XX) 10 Ordinary differential equations (34-XX) 9 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Geophysics (86-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 34 Publications have been cited 431 times in 375 Documents Cited by ▼ Year ▼ A class of iterative methods for solving saddle point problems. Zbl 0684.65031Bank, Randolph E.; Welfert, Bruno D.; Yserentant, Harry 72 1990 Generation of pseudospectral differentiation matrices. I. Zbl 0889.65013Welfert, Bruno D. 48 1997 A posteriori error estimates for the Stokes problem. Zbl 0731.76040Bank, Randolph E.; Welfert, Bruno D. 47 1991 Stability of ADI schemes applied to convection–diffusion equations with mixed derivative terms. Zbl 1175.65104in ’t Hout, K. J.; Welfert, B. D. 40 2007 Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms. Zbl 1161.65073in ’t Hout, K. J.; Welfert, B. D. 38 2009 A posteriori error estimates for the Stokes equations: A comparison. Zbl 0725.65106Bank, Randolph E.; Welfert, Bruno D. 30 1990 Two-step Runge-Kutta: Theory and practice. Zbl 0979.65062Tracogna, S.; Welfert, B. 19 2000 A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized Stokes problem. Zbl 0732.65100Bank, Randolph E.; Welfert, Bruno D. 18 1990 The Newton iteration on Lie groups. Zbl 0957.65054Owren, B.; Welfert, B. 17 2000 Numerical solution of a Fredholm integro-differential equation modelling neural networks. Zbl 1089.65136Jackiewicz, Z.; Rahman, M. Mahbubur; Welfert, B. D. 14 2006 Numerical solution of a Fredholm integro-differential equation modelling \(\dot \theta\)-neural networks. Zbl 1132.65116Jackiewicz, Z.; Rahman, M. Mahbubur; Welfert, B. D. 13 2008 About the sharpness of the stability estimates in the Kreiss matrix theorem. Zbl 1019.15016Spijker, M. N.; Tracogna, S.; Welfert, B. D. 10 2003 Order conditions for general linear methods. Zbl 1330.65103Cardone, Angelamaria; Jackiewicz, Zdzisław; Verner, James H.; Welfert, Bruno 8 2015 Spectral versus pseudospectral solutions of the wave equation by waveform relaxation methods. Zbl 1047.65092Jackiewicz, Z.; Welfert, B. D.; Zubik-Kowal, B. 5 2004 A nonstandard Euler scheme for \(y''+g(y)y'+f(y)y=0\). Zbl 1018.65091Kojouharov, H.; Welfert, B. 5 2003 Order reduction phenomenon for general linear methods. Zbl 1368.65111Braś, Michał; Cardone, Angelamaria; Jackiewicz, Zdzisław; Welfert, Bruno 4 2017 Spectral approximation of time windows in the solution of dissipative linear differential equations. Zbl 1195.65091Burrage, K.; Jackiewicz, Z.; Welfert, B. D. 4 2009 Stochastic approximations of perturbed Fredholm Volterra integro-differential equation arising in mathematical neurosciences. Zbl 1117.65014Rahman, M. Mahbubur; Jackiewicz, Z.; Welfert, B. D. 4 2007 Pseudospectra of wave from relaxation operators. Zbl 0932.65080Jackiewicz, Z.; Owren, B.; Welfert, B. 4 1998 On the eigenvalues of second-order pseudospectral differentiation operators. Zbl 0824.65083Welfert, Bruno D. 4 1994 Complex dynamics in a stratified lid-driven square cavity flow. Zbl 1415.76216Wu, Ke; Welfert, Bruno D.; Lopez, Juan M. 3 2018 Stability of Gauss-Radau pseudospectral approximations of the one-dimensional wave equation. Zbl 1024.65094Jackiewicz, Z.; Welfert, B. D. 3 2003 Absorbing boundary conditions of the second order for the pseudospectral Chebyshev methods for wave propagation. Zbl 0999.65108Gelb, A.; Jackiewicz, Z.; Welfert, B. D. 3 2002 Precessing cube: resonant excitation of modes and triadic resonance. Zbl 07191116Wu, Ke; Welfert, Bruno D.; Lopez, Juan M. 2 2020 Parametrically forced stably stratified cavity flow: complicated nonlinear dynamics near the onset of instability. Zbl 1419.76203Yalim, Jason; Welfert, Bruno D.; Lopez, Juan M. 2 2019 Librational forcing of a rapidly rotating fluid-filled cube. Zbl 1421.76260Wu, Ke; Welfert, Bruno D.; Lopez, Juan M. 2 2018 Vertically forced stably stratified cavity flow: instabilities of the basic state. Zbl 1415.76113Yalim, Jason; Lopez, Juan M.; Welfert, Bruno D. 2 2018 A note on classical Gauss-Radau and Gauss-Lobatto quadratures. Zbl 1200.41035Welfert, B. D. 2 2010 Analysis of iterated ADI-FDTD schemes for Maxwell curl equations. Zbl 1129.78025Welfert, B. D. 2 2007 Stability of a pivoting strategy for parallel Gaussian elimination. Zbl 0991.65030Mead, J. L.; Renaut, R. A.; Welfert, B. D. 2 2001 Evaluation of closure strategies for a periodically-forced Duffing oscillator with slowly modulated frequency subject to Gaussian white noise. Zbl 07257322Yalim, Jason; Welfert, Bruno D.; Lopez, Juan M. 1 2017 The weights of classical Gauss-Radau quadratures with double end-point. Zbl 1188.41022Welfert, B. D. 1 2010 Acceleration of convergence of static and dynamic iterations. Zbl 0992.65077Burrage, K.; Hertono, G.; Jackiewicz, Z.; Welfert, B. D. 1 2001 Zero-free regions for a rational function with applications. Zbl 0833.65016Jones, John W.; Welfert, Bruno D. 1 1995 Precessing cube: resonant excitation of modes and triadic resonance. Zbl 07191116Wu, Ke; Welfert, Bruno D.; Lopez, Juan M. 2 2020 Parametrically forced stably stratified cavity flow: complicated nonlinear dynamics near the onset of instability. Zbl 1419.76203Yalim, Jason; Welfert, Bruno D.; Lopez, Juan M. 2 2019 Complex dynamics in a stratified lid-driven square cavity flow. Zbl 1415.76216Wu, Ke; Welfert, Bruno D.; Lopez, Juan M. 3 2018 Librational forcing of a rapidly rotating fluid-filled cube. Zbl 1421.76260Wu, Ke; Welfert, Bruno D.; Lopez, Juan M. 2 2018 Vertically forced stably stratified cavity flow: instabilities of the basic state. Zbl 1415.76113Yalim, Jason; Lopez, Juan M.; Welfert, Bruno D. 2 2018 Order reduction phenomenon for general linear methods. Zbl 1368.65111Braś, Michał; Cardone, Angelamaria; Jackiewicz, Zdzisław; Welfert, Bruno 4 2017 Evaluation of closure strategies for a periodically-forced Duffing oscillator with slowly modulated frequency subject to Gaussian white noise. Zbl 07257322Yalim, Jason; Welfert, Bruno D.; Lopez, Juan M. 1 2017 Order conditions for general linear methods. Zbl 1330.65103Cardone, Angelamaria; Jackiewicz, Zdzisław; Verner, James H.; Welfert, Bruno 8 2015 A note on classical Gauss-Radau and Gauss-Lobatto quadratures. Zbl 1200.41035Welfert, B. D. 2 2010 The weights of classical Gauss-Radau quadratures with double end-point. Zbl 1188.41022Welfert, B. D. 1 2010 Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms. Zbl 1161.65073in ’t Hout, K. J.; Welfert, B. D. 38 2009 Spectral approximation of time windows in the solution of dissipative linear differential equations. Zbl 1195.65091Burrage, K.; Jackiewicz, Z.; Welfert, B. D. 4 2009 Numerical solution of a Fredholm integro-differential equation modelling \(\dot \theta\)-neural networks. Zbl 1132.65116Jackiewicz, Z.; Rahman, M. Mahbubur; Welfert, B. D. 13 2008 Stability of ADI schemes applied to convection–diffusion equations with mixed derivative terms. Zbl 1175.65104in ’t Hout, K. J.; Welfert, B. D. 40 2007 Stochastic approximations of perturbed Fredholm Volterra integro-differential equation arising in mathematical neurosciences. Zbl 1117.65014Rahman, M. Mahbubur; Jackiewicz, Z.; Welfert, B. D. 4 2007 Analysis of iterated ADI-FDTD schemes for Maxwell curl equations. Zbl 1129.78025Welfert, B. D. 2 2007 Numerical solution of a Fredholm integro-differential equation modelling neural networks. Zbl 1089.65136Jackiewicz, Z.; Rahman, M. Mahbubur; Welfert, B. D. 14 2006 Spectral versus pseudospectral solutions of the wave equation by waveform relaxation methods. Zbl 1047.65092Jackiewicz, Z.; Welfert, B. D.; Zubik-Kowal, B. 5 2004 About the sharpness of the stability estimates in the Kreiss matrix theorem. Zbl 1019.15016Spijker, M. N.; Tracogna, S.; Welfert, B. D. 10 2003 A nonstandard Euler scheme for \(y''+g(y)y'+f(y)y=0\). Zbl 1018.65091Kojouharov, H.; Welfert, B. 5 2003 Stability of Gauss-Radau pseudospectral approximations of the one-dimensional wave equation. Zbl 1024.65094Jackiewicz, Z.; Welfert, B. D. 3 2003 Absorbing boundary conditions of the second order for the pseudospectral Chebyshev methods for wave propagation. Zbl 0999.65108Gelb, A.; Jackiewicz, Z.; Welfert, B. D. 3 2002 Stability of a pivoting strategy for parallel Gaussian elimination. Zbl 0991.65030Mead, J. L.; Renaut, R. A.; Welfert, B. D. 2 2001 Acceleration of convergence of static and dynamic iterations. Zbl 0992.65077Burrage, K.; Hertono, G.; Jackiewicz, Z.; Welfert, B. D. 1 2001 Two-step Runge-Kutta: Theory and practice. Zbl 0979.65062Tracogna, S.; Welfert, B. 19 2000 The Newton iteration on Lie groups. Zbl 0957.65054Owren, B.; Welfert, B. 17 2000 Pseudospectra of wave from relaxation operators. Zbl 0932.65080Jackiewicz, Z.; Owren, B.; Welfert, B. 4 1998 Generation of pseudospectral differentiation matrices. I. Zbl 0889.65013Welfert, Bruno D. 48 1997 Zero-free regions for a rational function with applications. Zbl 0833.65016Jones, John W.; Welfert, Bruno D. 1 1995 On the eigenvalues of second-order pseudospectral differentiation operators. Zbl 0824.65083Welfert, Bruno D. 4 1994 A posteriori error estimates for the Stokes problem. Zbl 0731.76040Bank, Randolph E.; Welfert, Bruno D. 47 1991 A class of iterative methods for solving saddle point problems. Zbl 0684.65031Bank, Randolph E.; Welfert, Bruno D.; Yserentant, Harry 72 1990 A posteriori error estimates for the Stokes equations: A comparison. Zbl 0725.65106Bank, Randolph E.; Welfert, Bruno D. 30 1990 A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized Stokes problem. Zbl 0732.65100Bank, Randolph E.; Welfert, Bruno D. 18 1990 all cited Publications top 5 cited Publications all top 5 Cited by 559 Authors 21 Jackiewicz, Zdzislaw 15 Welfert, Bruno D. 12 in ’t Hout, Karel J. 10 Dehghan Takht Fooladi, Mehdi 7 Huang, Na 7 Itkin, Andrey 6 Arrarás, Andres 6 Ma, Changfeng 6 Portero, Laura 5 Bhowmik, Samir Kumar 5 Braś, Michał 5 Cardone, Angelamaria 5 Franca, Leopoldo Luis Cabo Penna 5 González-Pinto, Severiano 5 Hernandez-Abreu, Domingo 5 Pérez Rodríguez, S. 5 Wang, Jinhua 4 Bartoszewski, Zbigniew 4 Cheng, Xiaoliang 4 D’Ambrosio, Raffaele 4 Günther, Michael 4 He, Yinnian 4 Hendricks, Christian 4 Javidi, Mohammad 4 Jorge, Juan Carlos 4 Olshanskii, Maxim A. 4 Repin, Sergeĭ Igorevich 4 Taleei, Ameneh 4 Verner, James H. 3 Agouzal, Abdellatif 3 Araya, Rodolfo A. 3 Bank, Randolph E. 3 Cao, Jun 3 Cao, Zhihao 3 Conte, Dajana 3 Düring, Bertram 3 Esmaeili, Shahrokh 3 Golbabai, Ahmad 3 Heuer, Christof 3 Huang, Ting-Zhu 3 Izzo, Giuseppe 3 Konguetsof, Avrilia 3 Li, Chong 3 Lin, Yiqin 3 López, Juan Manuel 3 Paternoster, Beatrice 3 Patidar, Kailash C. 3 Reusken, Arnold 3 Shamsi, Mostafa 3 Vitse, Pascale 3 Wang, Lilian 3 Wei, Yimin 3 Yalim, Jason 3 Zubik-Kowal, Barbara 2 Abdi, Ali Z. 2 Achchab, Boujemaa 2 Ainsworth, Mark 2 Alipanah, Amjad 2 Amiraliyev, Gabil M. 2 Argyros, Ioannis Konstantinos 2 Axelsson, Axel Owe Holger 2 Baltensperger, Richard 2 Barrenechea, Gabriel R. 2 Behiry, S. H. 2 Boen, Lynn 2 Borovykh, Natalia Alexandrovna 2 Bouihat, Khalid 2 Carstensen, Carsten 2 Chen, Long 2 de Frutos, Javier 2 Dedieu, Jean-Pierre 2 Driscoll, Tobin A. 2 Durán, Ricardo G. 2 Durmaz, Muhammet Enes 2 Ehrhardt, Matthias 2 Ehrhardt, Matthias Joachim 2 Eisner, Tanja 2 El Chami, Fida 2 Ervin, Vincent J. 2 Farzi, Javad 2 Feng, Xinlong 2 Foroozandeh, Zahra 2 García-Archilla, Bosco 2 Ge, Zhihao 2 Gilsinn, David E. 2 Haentjens, Tinne 2 Hairer, Ernst 2 Han, Weimin 2 He, Jinsu 2 Hu, Xiaozhe 2 Hundsdorfer, Willem H. 2 Khanamiryan, Marianna 2 Kim, Kwang Yeon 2 Layton, William J. 2 Liang, Dong 2 Lima, Pedro Miguel 2 Linke, Alexander 2 Lipton, Alexander 2 López, Juan Manuel 2 Luo, Zhendong ...and 459 more Authors all top 5 Cited in 97 Serials 45 Journal of Computational and Applied Mathematics 34 Applied Numerical Mathematics 28 Applied Mathematics and Computation 25 Computer Methods in Applied Mechanics and Engineering 14 Computers & Mathematics with Applications 13 Journal of Scientific Computing 13 International Journal of Computer Mathematics 11 Mathematics of Computation 10 Numerical Methods for Partial Differential Equations 8 Journal of Computational Physics 7 Numerische Mathematik 7 SIAM Journal on Scientific Computing 6 Journal of Fluid Mechanics 6 Numerical Algorithms 4 Mathematical Methods in the Applied Sciences 4 Numerical Linear Algebra with Applications 4 Journal of Mathematical Chemistry 3 Computers and Fluids 3 Computer Physics Communications 3 International Journal for Numerical Methods in Fluids 3 Journal of Mathematical Analysis and Applications 3 Chaos, Solitons and Fractals 3 BIT 3 International Journal for Numerical Methods in Engineering 3 Journal of Functional Analysis 3 Mathematics and Computers in Simulation 3 Applied Mathematics Letters 3 Journal of Mathematical Sciences (New York) 3 Advances in Computational Mathematics 3 Applied Mathematical Finance 3 Abstract and Applied Analysis 3 Quantitative Finance 2 Calcolo 2 Computing 2 Journal of Optimization Theory and Applications 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 SIAM Journal on Numerical Analysis 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of Complexity 2 Mathematical and Computer Modelling 2 Communications in Numerical Methods in Engineering 2 St. Petersburg Mathematical Journal 2 Journal of Difference Equations and Applications 2 Communications in Nonlinear Science and Numerical Simulation 2 Computational Methods in Applied Mathematics 2 Journal of Applied Mathematics 2 Mediterranean Journal of Mathematics 2 Advances in Difference Equations 2 Frontiers of Mathematics in China 2 Discrete and Continuous Dynamical Systems. Series S 2 East Asian Journal on Applied Mathematics 1 Applicable Analysis 1 International Journal of Control 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Automatica 1 Meccanica 1 Bulletin of the Korean Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Probability Theory and Related Fields 1 Computational Mechanics 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Integral Equations and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Journal of Global Optimization 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Communications in Statistics. Theory and Methods 1 Mathematical Programming. Series A. Series B 1 Journal of Nonlinear Science 1 Computational Economics 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Journal of Vibration and Control 1 Computing and Visualization in Science 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Chaos 1 Discrete Dynamics in Nature and Society 1 International Journal of Theoretical and Applied Finance 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Geosciences 1 Nonlinear Analysis. Real World Applications 1 Journal of Numerical Mathematics 1 Journal of Applied Mathematics and Computing 1 Review of Derivatives Research 1 Fixed Point Theory and Applications 1 Proyecciones 1 Journal of Zhejiang University. Science A 1 SIAM Journal on Imaging Sciences 1 Algorithms 1 Afrika Matematika 1 Axioms all top 5 Cited in 31 Fields 311 Numerical analysis (65-XX) 97 Fluid mechanics (76-XX) 90 Partial differential equations (35-XX) 43 Ordinary differential equations (34-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Integral equations (45-XX) 16 Operations research, mathematical programming (90-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 13 Operator theory (47-XX) 12 Biology and other natural sciences (92-XX) 10 Probability theory and stochastic processes (60-XX) 10 Mechanics of deformable solids (74-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Topological groups, Lie groups (22-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Approximations and expansions (41-XX) 5 Optics, electromagnetic theory (78-XX) 5 Systems theory; control (93-XX) 4 Special functions (33-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Information and communication theory, circuits (94-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.