## Kansa, Edward J.

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 Author ID: kansa.edward-j Published as: Kansa, E. J.; Kansa, Edward J.; Kansa, Edward more...less
 Documents Indexed: 48 Publications since 1981 2 Contributions as Editor Co-Authors: 42 Co-Authors with 39 Joint Publications 627 Co-Co-Authors
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### Co-Authors

 11 single-authored 8 Ling, Leevan 5 Emdadi, Arezoo 5 Galperin, Efim A. 5 Libre, Nicolas Ali 5 Shekarchi, Mohammad 3 Hon, Yiu-Chung 3 Makroglou, Athena 3 Runovc, Franc 3 Turk, Goran 3 Vrankar, Leopold 2 Amirfakhrian, Majid 2 Fasshauer, Gregory E. 2 Ferreira, António Joaquim Mendes 2 Friedman, Mark J. 2 Razfar, Mohammad Reza 2 Sadeghbeigi Olyaie, Mohsen 1 Aldredge, Ralph C. 1 Arghand, Muhammad 1 Brandeis, Julius 1 Brown, Damian 1 Carlson, Ralph E. 1 Cheng, Alexander H.-D. 1 Gama, B. A. 1 Geiser, Jürgen 1 Gillespie, John W. jun. 1 Golberg, Michael A. 1 Gupta, Suman 1 Holoborodko, Pavel 1 Leitão, Vitor Manuel Azevedo 1 Levesley, Jeremy 1 Li, Tak Sing 1 Morgan, David L. jun. 1 Morris, L. K. 1 Natal Jorge, Renato Manuel 1 Power, Henry 1 Roque, C. M. C. 1 Shakibi, K. 1 Sharan, Maithili 1 Wang, Semyung 1 Wertz, John 1 Wong, Anita S. M. 1 Zammito, G.
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### Serials

 12 Computers & Mathematics with Applications 10 Engineering Analysis with Boundary Elements 6 CMES. Computer Modeling in Engineering & Sciences 2 Journal of Computational Physics 2 Mathematical and Computer Modelling 1 Computers and Fluids 1 International Journal for Numerical Methods in Fluids 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 1 SIAM Journal on Scientific and Statistical Computing 1 Numerical Methods for Partial Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Advances in Computational Mathematics 1 Iranian Journal of Fuzzy Systems 1 Computational Methods in Applied Sciences 1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

### Fields

 39 Numerical analysis (65-XX) 13 Fluid mechanics (76-XX) 9 Partial differential equations (35-XX) 5 Integral equations (45-XX) 4 Mechanics of deformable solids (74-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Approximations and expansions (41-XX) 2 General and overarching topics; collections (00-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

44 Publications have been cited 2,723 times in 1,390 Documents Cited by Year
Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates. Zbl 0692.76003
Kansa, E. J.
1990
Multiquadrics – a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations. Zbl 0850.76048
Kansa, E. J.
1990
Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations. Zbl 0955.65086
Kansa, E. J.; Hon, Y. C.
2000
Exponential convergence and $$h$$-$$c$$ multiquadric collocation method for partial differential equations. Zbl 1031.65121
Cheng, A. H.-D.; Golberg, M. A.; Kansa, E. J.; Zammito, G.
2003
Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary. Zbl 0999.65137
Fedoseyev, A. I.; Friedman, M. J.; Kansa, E. J.
2002
Improved accuracy of multiquadric interpolation using variable shape parameters. Zbl 0765.65008
Kansa, E. J.; Carlson, R. E.
1992
Application of the multiquadric method for numerical solution of elliptic partial differential equations. Zbl 0883.65083
Sharan, Maithili; Kansa, E. J.; Gupta, Suman
1997
Preconditioning for radial basis functions with domain decomposition methods. Zbl 1077.41008
Ling, Leevan; Kansa, E. J.
2004
A least-squares preconditioner for radial basis functions collocation methods. Zbl 1067.65136
Ling, Leevan; Kansa, Edward J.
2005
The role of the multiquadric shape parameters in solving elliptic partial differential equations. Zbl 1146.65078
Wertz, J.; Kansa, E. J.; Ling, L.
2006
On approximate cardinal preconditioning methods for solving PDEs with radial basis functions. Zbl 1182.65174
Brown, Damian; Ling, Leevan; Kansa, Edward; Levesley, Jermy
2005
Multizone decomposition for simulation of time-dependent problems using the multiquadratic scheme. Zbl 0951.76066
Wong, A. S. M.; Hon, Y. C.; Li, T. S.; Chung, S. L.; Kansa, E. J.
1999
Numerical simulation of two-dimensional combustion using mesh-free methods. Zbl 1244.76075
Kansa, Edward J.; Aldredge, Ralph C.; Ling, Leevan
2009
A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation. Zbl 1159.76363
Kansa, E. J.; Power, H.; Fasshauer, G. E.; Ling, L.
2004
Variable transformations in the numerical solution of second kind Volterra integral equations with continuous and weakly singular kernels; extensions to Fredholm integral equations. Zbl 0958.65144
Galperin, E. A.; Kansa, E. J.; Makroglou, A.; Nelson, S. A.
2000
Continuation for nonlinear elliptic partial differential equations discretized by the multiquadric method. Zbl 1090.65550
Fedoseyev, A. I.; Friedman, M. J.; Kansa, E. J.
2000
On the ill-conditioned nature of $$C^\infty$$ RBF strong collocation. Zbl 1403.65160
Kansa, Edward J.; Holoborodko, Pavel
2017
A stabilized RBF collocation scheme for Neumann type boundary value problems. Zbl 1232.65156
2008
A fast adaptive wavelet scheme in RBF collocation for nearly singular potential PDEs. Zbl 1357.65272
2008
A multiresolution prewavelet-based adaptive refinement scheme for RBF approximations of nearly singular problems. Zbl 1244.65255
2009
Exact explicit time integration of hyperbolic partial differential equations with mesh-free radial basis functions. Zbl 1195.65144
Kansa, E. J.
2007
Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and multiquadrics discretizations. Zbl 1182.74138
Ferreira, A. J. M.; Roque, C. M. C.; Jorge, R. M. N.; Kansa, E. J.
2005
Meshless solutions of 2D contact problems by subdomain variational inequality and MLPG method with radial basis functions. Zbl 1182.74261
Xiao, J. R.; Gama, B. A.; Gillespie, J. W. jun.; Kansa, E. J.
2005
Stable PDE solution methods for large multiquadric shape parameters. Zbl 1232.65154
2008
Numerical solution to time-dependent 4D inviscid Burgers’ equations. Zbl 1297.65129
Kansa, E. J.; Geiser, Jürgen
2013
A new approximate method for an inverse time-dependent heat source problem using fundamental solutions and RBFs. Zbl 1403.65051
Amirfakhrian, M.; Arghand, M.; Kansa, E. J.
2016
Vrankar, L.; Kansa, E. J.; Ling, L.; Runovc, F.; Turk, G.
2010
A strictly conservative spatial approximation scheme for the governing engineering and physics equations over irregular regions and inhomogeneously scattered nodes. Zbl 0761.65096
Kansa, E. J.
1992
Application of global optimization and radial basis functions to numerical solutions of weakly singular Volterra integral equations. Zbl 0999.65150
Galperin, E. A.; Kansa, E. J.
2002
Special issue: Radial basis functions and partial differential equations. Zbl 0993.00504
2002
Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel. Zbl 0891.65141
Galperin, E. A.; Kansa, E. J.; Makroglou, A.; Nelson, S. A.
1997
Local, point-wise rotational transformations of the conservation equations into stream-wise coordinates. Zbl 1073.76625
Kansa, E. J.
2002
Radial basis functions: achievements and challenges. Zbl 1341.65047
Kansa, E. J.
2015
The solution of infinitely ill-conditioned weakly-singular problems. Zbl 0955.65097
Galperin, E. A.; Kansa, E. J.
2000
Reliability based topology optimization of a linear piezoelectric micromotor using the cell-based smoothed finite element method. Zbl 1356.74214
2011
Wavelet based adaptive RBF method for nearly singular Poisson-type problems on irregular domains. Zbl 1231.65265
2009
A simplified moving finite difference scheme: Application to dense gas dispersion. Zbl 0552.65078
Kansa, E. J.; Morgan, D. L. jun.; Morris, L. K.
1984
Highly accurate shock flow calculations with moving grids and. Zbl 1185.65178
Kansa, Edward J.
1986
An algorithm for multidimensional combusting flow problems. Zbl 0478.76099
Kansa, Edward J.
1981
Solving one-dimensional moving-boundary problems with meshless method. Zbl 1308.65180
Vrankar, Leopold; Kansa, Edward J.; Turk, Goran; Runovc, Franc
2008
Topology optimization of a linear piezoelectric micromotor using the smoothed finite element method. Zbl 1356.74167
2011
Numerical solutions of weakly singular Volterra equations using global optimization techniques and radial basis functions. Zbl 0882.65141
Galperin, E. A.; Kansa, E. J.; Makroglou, A.; Nelson, S. A.
1997
Shock computations with adaptive mesh refinement and moving grids. Zbl 0646.76083
Kansa, E. J.
1988
A comparative study of finite difference and multiquadric schemes for the Euler equations. Zbl 0729.65066
Kansa, E. J.
1988
On the ill-conditioned nature of $$C^\infty$$ RBF strong collocation. Zbl 1403.65160
Kansa, Edward J.; Holoborodko, Pavel
2017
A new approximate method for an inverse time-dependent heat source problem using fundamental solutions and RBFs. Zbl 1403.65051
Amirfakhrian, M.; Arghand, M.; Kansa, E. J.
2016
Radial basis functions: achievements and challenges. Zbl 1341.65047
Kansa, E. J.
2015
Numerical solution to time-dependent 4D inviscid Burgers’ equations. Zbl 1297.65129
Kansa, E. J.; Geiser, Jürgen
2013
Reliability based topology optimization of a linear piezoelectric micromotor using the cell-based smoothed finite element method. Zbl 1356.74214
2011
Topology optimization of a linear piezoelectric micromotor using the smoothed finite element method. Zbl 1356.74167
2011
Vrankar, L.; Kansa, E. J.; Ling, L.; Runovc, F.; Turk, G.
2010
Numerical simulation of two-dimensional combustion using mesh-free methods. Zbl 1244.76075
Kansa, Edward J.; Aldredge, Ralph C.; Ling, Leevan
2009
A multiresolution prewavelet-based adaptive refinement scheme for RBF approximations of nearly singular problems. Zbl 1244.65255
2009
Wavelet based adaptive RBF method for nearly singular Poisson-type problems on irregular domains. Zbl 1231.65265
2009
A stabilized RBF collocation scheme for Neumann type boundary value problems. Zbl 1232.65156
2008
A fast adaptive wavelet scheme in RBF collocation for nearly singular potential PDEs. Zbl 1357.65272
2008
Stable PDE solution methods for large multiquadric shape parameters. Zbl 1232.65154
2008
Solving one-dimensional moving-boundary problems with meshless method. Zbl 1308.65180
Vrankar, Leopold; Kansa, Edward J.; Turk, Goran; Runovc, Franc
2008
Exact explicit time integration of hyperbolic partial differential equations with mesh-free radial basis functions. Zbl 1195.65144
Kansa, E. J.
2007
The role of the multiquadric shape parameters in solving elliptic partial differential equations. Zbl 1146.65078
Wertz, J.; Kansa, E. J.; Ling, L.
2006
A least-squares preconditioner for radial basis functions collocation methods. Zbl 1067.65136
Ling, Leevan; Kansa, Edward J.
2005
On approximate cardinal preconditioning methods for solving PDEs with radial basis functions. Zbl 1182.65174
Brown, Damian; Ling, Leevan; Kansa, Edward; Levesley, Jermy
2005
Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and multiquadrics discretizations. Zbl 1182.74138
Ferreira, A. J. M.; Roque, C. M. C.; Jorge, R. M. N.; Kansa, E. J.
2005
Meshless solutions of 2D contact problems by subdomain variational inequality and MLPG method with radial basis functions. Zbl 1182.74261
Xiao, J. R.; Gama, B. A.; Gillespie, J. W. jun.; Kansa, E. J.
2005
Preconditioning for radial basis functions with domain decomposition methods. Zbl 1077.41008
Ling, Leevan; Kansa, E. J.
2004
A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation. Zbl 1159.76363
Kansa, E. J.; Power, H.; Fasshauer, G. E.; Ling, L.
2004
Exponential convergence and $$h$$-$$c$$ multiquadric collocation method for partial differential equations. Zbl 1031.65121
Cheng, A. H.-D.; Golberg, M. A.; Kansa, E. J.; Zammito, G.
2003
Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary. Zbl 0999.65137
Fedoseyev, A. I.; Friedman, M. J.; Kansa, E. J.
2002
Application of global optimization and radial basis functions to numerical solutions of weakly singular Volterra integral equations. Zbl 0999.65150
Galperin, E. A.; Kansa, E. J.
2002
Special issue: Radial basis functions and partial differential equations. Zbl 0993.00504
2002
Local, point-wise rotational transformations of the conservation equations into stream-wise coordinates. Zbl 1073.76625
Kansa, E. J.
2002
Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations. Zbl 0955.65086
Kansa, E. J.; Hon, Y. C.
2000
Variable transformations in the numerical solution of second kind Volterra integral equations with continuous and weakly singular kernels; extensions to Fredholm integral equations. Zbl 0958.65144
Galperin, E. A.; Kansa, E. J.; Makroglou, A.; Nelson, S. A.
2000
Continuation for nonlinear elliptic partial differential equations discretized by the multiquadric method. Zbl 1090.65550
Fedoseyev, A. I.; Friedman, M. J.; Kansa, E. J.
2000
The solution of infinitely ill-conditioned weakly-singular problems. Zbl 0955.65097
Galperin, E. A.; Kansa, E. J.
2000
Multizone decomposition for simulation of time-dependent problems using the multiquadratic scheme. Zbl 0951.76066
Wong, A. S. M.; Hon, Y. C.; Li, T. S.; Chung, S. L.; Kansa, E. J.
1999
Application of the multiquadric method for numerical solution of elliptic partial differential equations. Zbl 0883.65083
Sharan, Maithili; Kansa, E. J.; Gupta, Suman
1997
Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel. Zbl 0891.65141
Galperin, E. A.; Kansa, E. J.; Makroglou, A.; Nelson, S. A.
1997
Numerical solutions of weakly singular Volterra equations using global optimization techniques and radial basis functions. Zbl 0882.65141
Galperin, E. A.; Kansa, E. J.; Makroglou, A.; Nelson, S. A.
1997
Improved accuracy of multiquadric interpolation using variable shape parameters. Zbl 0765.65008
Kansa, E. J.; Carlson, R. E.
1992
A strictly conservative spatial approximation scheme for the governing engineering and physics equations over irregular regions and inhomogeneously scattered nodes. Zbl 0761.65096
Kansa, E. J.
1992
Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates. Zbl 0692.76003
Kansa, E. J.
1990
Multiquadrics – a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations. Zbl 0850.76048
Kansa, E. J.
1990
Shock computations with adaptive mesh refinement and moving grids. Zbl 0646.76083
Kansa, E. J.
1988
A comparative study of finite difference and multiquadric schemes for the Euler equations. Zbl 0729.65066
Kansa, E. J.
1988
Highly accurate shock flow calculations with moving grids and. Zbl 1185.65178
Kansa, Edward J.
1986
A simplified moving finite difference scheme: Application to dense gas dispersion. Zbl 0552.65078
Kansa, E. J.; Morgan, D. L. jun.; Morris, L. K.
1984
An algorithm for multidimensional combusting flow problems. Zbl 0478.76099
Kansa, Edward J.
1981
all top 5

### Cited by 1,569 Authors

 379 Engineering Analysis with Boundary Elements 124 Computers & Mathematics with Applications 92 Applied Mathematics and Computation 59 Journal of Computational Physics 52 International Journal for Numerical Methods in Engineering 44 Journal of Computational and Applied Mathematics 39 Applied Mathematical Modelling 38 Applied Numerical Mathematics 36 Computer Methods in Applied Mechanics and Engineering 25 Numerical Methods for Partial Differential Equations 24 Computational Mechanics 22 International Journal of Computer Mathematics 20 International Journal of Computational Methods 19 Computational and Applied Mathematics 18 Journal of Scientific Computing 17 Computers and Fluids 16 Numerical Algorithms 15 Advances in Computational Mathematics 13 Mathematics and Computers in Simulation 11 International Journal for Numerical Methods in Fluids 11 International Journal of Numerical Methods for Heat & Fluid Flow 11 Advances in Applied Mathematics and Mechanics 11 International Journal of Applied and Computational Mathematics 9 Mathematical Problems in Engineering 9 Communications in Nonlinear Science and Numerical Simulation 9 Inverse Problems in Science and Engineering 9 Computational Methods for Differential Equations 8 Applied Mathematics Letters 7 SIAM Journal on Scientific Computing 7 Communications in Numerical Methods in Engineering 6 Acta Mechanica 6 Journal of Engineering Mathematics 6 Mathematical and Computer Modelling 6 Journal of Applied Mathematics 6 Communications in Computational Physics 6 International Journal for Computational Methods in Engineering Science and Mechanics 6 Mathematical Sciences 5 Computer Physics Communications 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 International Journal of Nonlinear Sciences and Numerical Simulation 4 International Journal of Heat and Mass Transfer 4 Chaos, Solitons and Fractals 4 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 4 Computer Aided Geometric Design 4 Archive of Applied Mechanics 4 European Journal of Mechanics. A. Solids 4 Journal of Mathematics 3 Wave Motion 3 Meccanica 3 Filomat 3 Nonlinear Dynamics 3 Engineering Computations 3 International Journal of Modern Physics C 3 Archives of Computational Methods in Engineering 3 Iranian Journal of Science and Technology. Transaction A: Science 3 Journal of Linear and Topological Algebra 3 Journal of Mathematical Modeling 2 Nonlinearity 2 Mathematics of Computation 2 BIT 2 Calcolo 2 Computing 2 Numerical Functional Analysis and Optimization 2 Ricerche di Matematica 2 Applied Mathematics and Mechanics. (English Edition) 2 Linear Algebra and its Applications 2 Cybernetics and Systems Analysis 2 Applied Mathematics. Series B (English Edition) 2 Numerical Linear Algebra with Applications 2 Journal of Interdisciplinary Mathematics 2 Computational Geosciences 2 Combustion Theory and Modelling 2 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Advances in Mathematical Physics 2 Advances in Numerical Analysis 2 S$$\vec{\text{e}}$$MA Journal 2 Caspian Journal of Mathematical Sciences 2 Mathematics 1 Applicable Analysis 1 Communications in Mathematical Physics 1 International Journal of Engineering Science 1 International Journal of Solids and Structures 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Automatica 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Mechanics Research Communications 1 1 Stochastic Analysis and Applications 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Journal of Economic Dynamics & Control 1 Machine Learning ...and 39 more Serials