-
1
-
-
0003536870
-
-
Springer-Verlag, Berlin, Heidelberg, NY
-
Allgower, E. L. & Georg, K. [1990] Numerical Continuation Methods: An Introduction (Springer-Verlag, Berlin, Heidelberg, NY).
-
(1990)
Numerical Continuation Methods: An Introduction
-
-
Allgower, E.L.1
Georg, K.2
-
4
-
-
84968491633
-
Multiquadric prewavelets on nonequally spaced knots in one dimension
-
Buhmann, M. D. [1995] "Multiquadric prewavelets on nonequally spaced knots in one dimension," Math. Comput. 64, 1611-1625.
-
(1995)
Math. Comput.
, vol.64
, pp. 1611-1625
-
-
Buhmann, M.D.1
-
5
-
-
0003028016
-
The parameter R2 in multiquadric interpolation
-
Carlson, R. E. & Foley, T. A. [1991] "The parameter R2 in multiquadric interpolation," Comput. Math. Appl. 21(9), 29-42.
-
(1991)
Comput. Math. Appl.
, vol.21
, Issue.9
, pp. 29-42
-
-
Carlson, R.E.1
Foley, T.A.2
-
6
-
-
0032041196
-
Multiple bifurcations in a reaction-diffusion problem
-
Chien, C. S. & Chen, M.-H. [1998] "Multiple bifurcations in a reaction-diffusion problem," Comput. Math. Appl. 35(8), 15-39.
-
(1998)
Comput. Math. Appl.
, vol.35
, Issue.8
, pp. 15-39
-
-
Chien, C.S.1
Chen, M.-H.2
-
7
-
-
0031986777
-
Numerical continuation at double bifurcation points of a reaction-diffusion problem
-
Chien, C. S., Mei, Z. & Shen, C.-L. [1997] "Numerical continuation at double bifurcation points of a reaction-diffusion problem," Int. J. Bifurcation and Chaos 8(1), 117-139.
-
(1997)
Int. J. Bifurcation and Chaos
, vol.8
, Issue.1
, pp. 117-139
-
-
Chien, C.S.1
Mei, Z.2
Shen, C.-L.3
-
8
-
-
0002353951
-
Three dimensional initial value data for collisions of two black holes
-
ed. d'Inverro, R. (Cambridge University Press)
-
Cook, G. B., Choptnik, M. W., Dubal, M. R., Klasky, S., Matzner, R. A. & Oliveira, S. R. [1993] "Three dimensional initial value data for collisions of two black holes," Approximations to Numerical Relativity, ed. d'Inverro, R. (Cambridge University Press), pp. 265-285.
-
(1993)
Approximations to Numerical Relativity
, pp. 265-285
-
-
Cook, G.B.1
Choptnik, M.W.2
Dubal, M.R.3
Klasky, S.4
Matzner, R.A.5
Oliveira, S.R.6
-
9
-
-
0000856109
-
Degenerate bifurcations near a double eigenvalue in the Brusselator
-
Dangelmayr, G. [1987] "Degenerate bifurcations near a double eigenvalue in the Brusselator," J. Austr. Math. Soc. B28, 486-535.
-
(1987)
J. Austr. Math. Soc.
, vol.B28
, pp. 486-535
-
-
Dangelmayr, G.1
-
10
-
-
0000260118
-
Large scale continuation and numerical bifurcation for partial differential equations
-
Davidson, B. D. [1997] "Large scale continuation and numerical bifurcation for partial differential equations," SIAM. J. Numer. Anal. 24(5), 2008-2027.
-
(1997)
SIAM. J. Numer. Anal.
, vol.24
, Issue.5
, pp. 2008-2027
-
-
Davidson, B.D.1
-
11
-
-
33747373791
-
Pattern formation in generalized turing systems. I. Steady-state patterns in systems with mixed boundary conditions
-
Dillon, R., Maini, P. K. & Othmer, H. G. [1994] "Pattern formation in generalized Turing systems. I. Steady-state patterns in systems with mixed boundary conditions," J. Math. Biol. 32, 345-393.
-
(1994)
J. Math. Biol.
, vol.32
, pp. 345-393
-
-
Dillon, R.1
Maini, P.K.2
Othmer, H.G.3
-
12
-
-
0002198261
-
On the construction of discretizations of elliptic partial differential equations
-
Doedel, E. J. [1998] "On the construction of discretizations of elliptic partial differential equations," J. Diff. Eq. Appl. 3, 389-416.
-
(1998)
J. Diff. Eq. Appl.
, vol.3
, pp. 389-416
-
-
Doedel, E.J.1
-
13
-
-
0003487030
-
-
Concordia University, Montreal, Canada
-
Doedel, E. J., Champneys, A. R., Fairgrieve, T. F., Kuznetsov, Yu. A., Sandstede, B. & Wang, X. J. [1997] AUTO97: Continuation and Bifurcation Software for Ordinary Differential Equations (with HomCont), User's Guide (Concordia University, Montreal, Canada).
-
(1997)
AUTO97: Continuation and Bifurcation Software for Ordinary Differential Equations (With HomCont), User's Guide
-
-
Doedel, E.J.1
Champneys, A.R.2
Fairgrieve, T.F.3
Kuznetsov, Yu.A.4
Sandstede, B.5
Wang, X.J.6
-
14
-
-
0000378937
-
Numerical analysis and control of bifurcation problems, part I: Bifurcation in finite dimensions
-
Doedel, E. J., Keller, H. B. & Kernévez, J. P. [1991] "Numerical analysis and control of bifurcation problems, Part I: Bifurcation in finite dimensions," Int. J. Bifurcation and Chaos 1(3), 493-520; "Part II: Bifurcation in infinité dimensions," Int. J. Bifurcation and Chaos 1(4), 745-772.
-
(1991)
Int. J. Bifurcation and Chaos
, vol.1
, Issue.3
, pp. 493-520
-
-
Doedel, E.J.1
Keller, H.B.2
Kernévez, J.P.3
-
15
-
-
0000378934
-
Part II: Bifurcation in infinité dimensions
-
Doedel, E. J., Keller, H. B. & Kernévez, J. P. [1991] "Numerical analysis and control of bifurcation problems, Part I: Bifurcation in finite dimensions," Int. J. Bifurcation and Chaos 1(3), 493-520; "Part II: Bifurcation in infinité dimensions," Int. J. Bifurcation and Chaos 1(4), 745-772.
-
Int. J. Bifurcation and Chaos
, vol.1
, Issue.4
, pp. 745-772
-
-
-
16
-
-
0002242656
-
Collocation methods for continuation problems in nonlinear elliptic PDEs
-
Proc. ERCOFTAC and EUROMECH Colloguium, Continuation Methods in Fluid Mechanics, Aussois, France September to appear
-
Doedel, E. J. & Sharifi, H. "Collocation methods for continuation problems in nonlinear elliptic PDEs," Proc. ERCOFTAC and EUROMECH Colloguium, Continuation Methods in Fluid Mechanics, Aussois, France September 1998, Notes on Numer. Fluid. Mech, to appear.
-
(1998)
Notes on Numer. Fluid. Mech
-
-
Doedel, E.J.1
Sharifi, H.2
-
17
-
-
0033481694
-
Multi-step approximation algorithms: Improved convergence rates though postconditioning and smoothing kernels
-
Fasshauer, G. E. & Jerome, J. W. [1999] "Multi-step approximation algorithms: Improved convergence rates though postconditioning and smoothing kernels," Adv. Comp. Math. 10, 1-27.
-
(1999)
Adv. Comp. Math.
, vol.10
, pp. 1-27
-
-
Fasshauer, G.E.1
Jerome, J.W.2
-
18
-
-
84968515237
-
Scattered data interpolation: Tests of some methods
-
Franke, R. [1982] "Scattered data interpolation: Tests of some methods," Math. Comp. 38, 181-199.
-
(1982)
Math. Comp.
, vol.38
, pp. 181-199
-
-
Franke, R.1
-
19
-
-
0002245065
-
Solving partial differential equations by collocation using radial basis functions
-
Franke, C. & Schaback, R. [1998] "Solving partial differential equations by collocation using radial basis functions," Appl. Math. Comp. 93(1), 73-91.
-
(1998)
Appl. Math. Comp.
, vol.93
, Issue.1
, pp. 73-91
-
-
Franke, C.1
Schaback, R.2
-
20
-
-
0030181559
-
Improved multiquadric approximation for partial differential equations
-
Golberg, M. A. & Chen, C. S. [1996] "Improved multiquadric approximation for partial differential equations," Engin. Anal. Bound. Elem. 18, 9-17.
-
(1996)
Engin. Anal. Bound. Elem.
, vol.18
, pp. 9-17
-
-
Golberg, M.A.1
Chen, C.S.2
-
22
-
-
38149147306
-
The theory of radial basis functions used in the dual reciprocity boundary element method
-
Golberg, M. A. & Chen, C. S. [1994] "The theory of radial basis functions used in the dual reciprocity boundary element method," Appl. Math. Comput. 60, 125-136.
-
(1994)
Appl. Math. Comput.
, vol.60
, pp. 125-136
-
-
Golberg, M.A.1
Chen, C.S.2
-
25
-
-
0001018295
-
Multiquadric equations of topography and other irregular surfaces
-
Hardy, R. L. [1971] "Multiquadric equations of topography and other irregular surfaces," J. Geophys. Res. 76, 1905-1915.
-
(1971)
J. Geophys. Res.
, vol.76
, pp. 1905-1915
-
-
Hardy, R.L.1
-
26
-
-
0025206382
-
Theory and applications of the multiquadric-biharmonic method: 20 years of discovery
-
Hardy, R. L. [1990] "Theory and applications of the multiquadric-biharmonic method: 20 years of discovery," Comput. Math. Appl. 19(8&9), 163-208.
-
(1990)
Comput. Math. Appl.
, vol.19
, Issue.8-9
, pp. 163-208
-
-
Hardy, R.L.1
-
27
-
-
0002879831
-
An efficient numerical scheme for burgers equation
-
Hon, Y. C. & Mao, X. Z. [1998] "An efficient numerical scheme for Burgers equation," Appl. Math. Comput. 95, 37-50.
-
(1998)
Appl. Math. Comput.
, vol.95
, pp. 37-50
-
-
Hon, Y.C.1
Mao, X.Z.2
-
28
-
-
0025229330
-
Multiquadrics-a scattered data approximation scheme with applications to computational fluid dynamics-I. Surface approximations and partial derivative estimates
-
Kansa, E. J. [1990a] "Multiquadrics-a scattered data approximation scheme with applications to computational fluid dynamics-I. Surface approximations and partial derivative estimates," Comput. Math. Appl. 19(8 & 9), 127-145.
-
(1990)
Comput. Math. Appl.
, vol.19
, Issue.8-9
, pp. 127-145
-
-
Kansa, E.J.1
-
29
-
-
0025210711
-
Multiquadrics-a scattered data approximation scheme with applications to computational fluid dynamics-II. Solutions to hyperbolic, parabolic, and elliptic partial differential equations
-
Kansa, E. J. [1990b] "Multiquadrics-a scattered data approximation scheme with applications to computational fluid dynamics-II. Solutions to hyperbolic, parabolic, and elliptic partial differential equations," Comput. Math. Appl. 19(8 & 9), 147-161.
-
(1990)
Comput. Math. Appl.
, vol.19
, Issue.8-9
, pp. 147-161
-
-
Kansa, E.J.1
-
30
-
-
85037779232
-
Circumventing the ill-conditioning problem with multiquadrics radial basis functions: Applications to elliptic partial differential equations
-
to appear
-
Kansa, E. J. & Hon, Y. C. [1998] "Circumventing the ill-conditioning problem with multiquadrics radial basis functions: Applications to elliptic partial differential equations," Adv. Comp. Math., to appear.
-
(1998)
Adv. Comp. Math.
-
-
Kansa, E.J.1
Hon, Y.C.2
-
31
-
-
0003424421
-
-
Dynamical Systems Laboratory, CWI, Amsterdam
-
Kuznetsov, Yu. A. & Levitin, V. V. [1995-1997] "CONTENT, a multi-platform interactive environment for analyzing dynamical systems," Dynamical Systems Laboratory, CWI, Amsterdam (ftp.cwi.nl/pub/CONTENT).
-
(1995)
CONTENT, a Multi-platform Interactive Environment for Analyzing Dynamical Systems
-
-
Kuznetsov, Yu.A.1
Levitin, V.V.2
-
32
-
-
0003980753
-
-
Report AM-R9611 Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands
-
Kuznetsov, Yu. A., Levitin, V. V. & Skovoroda, A. R. [1996] "Continuation of stationary solutions to evolution problems in CONTENT," Report AM-R9611 Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands.
-
(1996)
Continuation of Stationary Solutions to Evolution Problems in CONTENT
-
-
Kuznetsov, Yu.A.1
Levitin, V.V.2
Skovoroda, A.R.3
-
33
-
-
36849102494
-
Symmetry-breaking instabilitites in dissipative systems II
-
Lefever, R. & Prigogine, I. [1968] "Symmetry-breaking instabilitites in dissipative systems II," J. Chem. Phys. 48, 1695-1700.
-
(1968)
J. Chem. Phys.
, vol.48
, pp. 1695-1700
-
-
Lefever, R.1
Prigogine, I.2
-
34
-
-
0000172493
-
Miscellaneous error bounds for multiquadric and related interpolants
-
Madych, W. R. [1992] "Miscellaneous error bounds for multiquadric and related interpolants," Comput. Math. Appl. 24(12), 121-138.
-
(1992)
Comput. Math. Appl.
, vol.24
, Issue.12
, pp. 121-138
-
-
Madych, W.R.1
-
35
-
-
84966244353
-
Multivariate interpolation and conditionally positive definite functions II
-
Madych, W. R. & Nelson, S. A. [1990] "Multivariate interpolation and conditionally positive definite functions II," Math. Comp. 54, 211-230.
-
(1990)
Math. Comp.
, vol.54
, pp. 211-230
-
-
Madych, W.R.1
Nelson, S.A.2
-
36
-
-
0029151986
-
Asymmetry and Hopf bifurcation in spherical Couette flow
-
Mamun, C. K. & Tuckermann, L. S. [1995] "Asymmetry and Hopf bifurcation in spherical Couette flow," Phys. Fluids 7(1), 80-102.
-
(1995)
Phys. Fluids
, vol.7
, Issue.1
, pp. 80-102
-
-
Mamun, C.K.1
Tuckermann, L.S.2
-
38
-
-
0000966801
-
Multi-level interpolation and approximation
-
Narcowich, F. J., Schaback, R. & Ward, J. D. [1999] "Multi-level interpolation and approximation," Appl. Comput. Harmonic Anal. 7, 243-261.
-
(1999)
Appl. Comput. Harmonic Anal.
, vol.7
, pp. 243-261
-
-
Narcowich, F.J.1
Schaback, R.2
Ward, J.D.3
-
39
-
-
21344485267
-
Predictor-corrector techniques for detecting Hopf points
-
Neubert, R. [1993] "Predictor-Corrector techniques for detecting Hopf points," Int. J. Bifurcation and Chaos 3, 1311-1318.
-
(1993)
Int. J. Bifurcation and Chaos
, vol.3
, pp. 1311-1318
-
-
Neubert, R.1
-
40
-
-
21844496660
-
Computational dynamics of ordinary differential equations
-
Poliashenko, M. & Aidun, C. K. [1995] "Computational dynamics of ordinary differential equations," Int. J. Bifurcation and Chaos 5(1), 159-174.
-
(1995)
Int. J. Bifurcation and Chaos
, vol.5
, Issue.1
, pp. 159-174
-
-
Poliashenko, M.1
Aidun, C.K.2
-
42
-
-
0019713774
-
Bifurcation analysis near a double eigenvalue of a model chemical reaction
-
Schaeffer, D. & Golubitsky, M. [1981] "Bifurcation analysis near a double eigenvalue of a model chemical reaction," Arch. Rat. Mech. Anal. 75, 315-347.
-
(1981)
Arch. Rat. Mech. Anal.
, vol.75
, pp. 315-347
-
-
Schaeffer, D.1
Golubitsky, M.2
-
43
-
-
0003860399
-
-
(Elsevier Publishing, NY, Amsterdam, London), Springer-Verlag 1994
-
Seydel, R. [1988] From Equilibrium to Chaos - Practical Bifurcation and Stability Analysis, 2nd Edition (Elsevier Publishing, NY, Amsterdam, London), (Springer-Verlag 1994).
-
(1988)
From Equilibrium to Chaos - Practical Bifurcation and Stability Analysis, 2nd Edition
-
-
Seydel, R.1
-
44
-
-
0000586598
-
Path following for large nonlinear equations by implicit block elimination based on recursive projections
-
Schwetlick, H., Timmermann, G. & Lösche, R. [1996] "Path following for large nonlinear equations by implicit block elimination based on recursive projections," Lectures in Applied Mathematics 32, 715-732.
-
(1996)
Lectures in Applied Mathematics
, vol.32
, pp. 715-732
-
-
Schwetlick, H.1
Timmermann, G.2
Lösche, R.3
-
45
-
-
0000246322
-
Applications of the multiquadric method for the solution of elliptic partial differential equations
-
Sharan, M., Kansa, E. J. & Gupta, S. [1997] "Applications of the multiquadric method for the solution of elliptic partial differential equations," Appl. Math. & Comput. 84, 275-302.
-
(1997)
Appl. Math. & Comput.
, vol.84
, pp. 275-302
-
-
Sharan, M.1
Kansa, E.J.2
Gupta, S.3
-
46
-
-
0027641824
-
Stabilization of unstable procedures: The recursive projection method
-
Shroff, G. M. & Keller, H. B. [1993] "Stabilization of unstable procedures: The recursive projection method," SIAM J. Numer. Anal. 30, 1099-1120.
-
(1993)
SIAM J. Numer. Anal.
, vol.30
, pp. 1099-1120
-
-
Shroff, G.M.1
Keller, H.B.2
-
47
-
-
0033115928
-
Multi-zone decomposition for simulation of time-dependent problems using the multiquadric scheme
-
Wong, S. M., Hon, Y. C., Li, T. S., Chung, S. L. & Kansa, E. J. [1999] "Multi-zone decomposition for simulation of time-dependent problems using the multiquadric scheme," Math. Comput. Appl. 37, 23-43.
-
(1999)
Math. Comput. Appl.
, vol.37
, pp. 23-43
-
-
Wong, S.M.1
Hon, Y.C.2
Li, T.S.3
Chung, S.L.4
Kansa, E.J.5
-
48
-
-
14544290310
-
Local error estimates for radial basis function interpolation of scattered data
-
Wu, Z. & Shaback, R. [1993] "Local error estimates for radial basis function interpolation of scattered data," IMA J. Num. Anal. 13, 13-27.
-
(1993)
IMA J. Num. Anal.
, vol.13
, pp. 13-27
-
-
Wu, Z.1
Shaback, R.2
|