-
1
-
-
11144252477
-
Random Volterra integral equation
-
Adomian, G. (1995) ‘Random Volterra integral equation’, Mathl. Comput. Modelling, Vol. 22, No. 8, pp.101, 102.
-
(1995)
Mathl. Comput. Modelling
, vol.22
, Issue.8
, pp. 101
-
-
Adomian, G.1
-
4
-
-
84867938620
-
On a reliable solution of a Volterra integral equation in a Hilbert space
-
Bock, I. and Lovisek, J. (2003) ‘On a reliable solution of a Volterra integral equation in a Hilbert space’, Applications of Mathematics, Vol. 48, No. 6, pp.469–486.
-
(2003)
Applications of Mathematics
, vol.48
, Issue.6
, pp. 469-486
-
-
Bock, I.1
Lovisek, J.2
-
6
-
-
0035541115
-
Geometric meshes in collocation methods for Volterra integral equations with proportional delays
-
Brunner, H., Hu, Q. and Lin, Q. (2001) ‘Geometric meshes in collocation methods for Volterra integral equations with proportional delays’, IMA Journal of Numerical Analysis, Vol. 21, pp.783–798.
-
(2001)
IMA Journal of Numerical Analysis
, vol.21
, pp. 783-798
-
-
Brunner, H.1
Hu, Q.2
Lin, Q.3
-
7
-
-
0040575075
-
The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
-
Brunner, H., Pedas, A. and Vainikko, G. (1999) ‘The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations’, Mathematics of Computation, Vol. 68, pp.1079–1095.
-
(1999)
Mathematics of Computation
, vol.68
, pp. 1079-1095
-
-
Brunner, H.1
Pedas, A.2
Vainikko, G.3
-
9
-
-
0004524018
-
On the Volterra integral equation in locally convex spaces
-
Bugajewski, D. (1992) ‘On the Volterra integral equation in locally convex spaces’, Demonstratio Math., Vol. 25, pp.747–754.
-
(1992)
Demonstratio Math
, vol.25
, pp. 747-754
-
-
Bugajewski, D.1
-
10
-
-
11144312186
-
On differential and integral equations in locally convex spaces
-
Bugajewski, D. (1995) ‘On differential and integral equations in locally convex spaces’, Demonstratio Math., Vol. 28, pp.961–966.
-
(1995)
Demonstratio Math
, vol.28
, pp. 961-966
-
-
Bugajewski, D.1
-
11
-
-
38249005274
-
Kneser’s theorem for weak solutions of the Darboux problem in Banach spaces
-
Bugajewski, D. and Szu, A.S. (1993) ‘Kneser’s theorem for weak solutions of the Darboux problem in Banach spaces’, Nonlinear Analysis, Vol. 20, No. 2, pp.169–173.
-
(1993)
Nonlinear Analysis
, vol.20
, Issue.2
, pp. 169-173
-
-
Bugajewski, D.1
Szu, A.S.2
-
12
-
-
84901421400
-
The swarm and the queen: towards a deterministic and adaptive particle swarm optimization
-
Washington DC
-
Clerc, M. (1999) ‘The swarm and the queen: towards a deterministic and adaptive particle swarm optimization’, Proceedings of the 1999 IEEE Congress on Evolutionary Computation, Washington DC, pp.1951–1957.
-
(1999)
Proceedings of the 1999 IEEE Congress on Evolutionary Computation
, pp. 1951-1957
-
-
Clerc, M.1
-
15
-
-
0004011172
-
-
Cambridge University Press, Cambridge
-
Copson, E.T. (1975) Partial Differential Equations, Cambridge University Press, Cambridge, pp.98–103.
-
(1975)
Partial Differential Equations
, pp. 98-103
-
-
Copson, E.T.1
-
16
-
-
0037475094
-
The particle swarm optimization algorithm: convergence analysis and parameter selection
-
Cristian, T.I. (2003) ‘The particle swarm optimization algorithm: convergence analysis and parameter selection’, Information Processing Letters, Vol. 85, No. 6, pp.317–325.
-
(2003)
Information Processing Letters
, vol.85
, Issue.6
, pp. 317-325
-
-
Cristian, T.I.1
-
19
-
-
0036502747
-
Numerical solution of a non-uniquely solvable Volterra integral equation using extrapolation methods
-
Diogo, T. and Lima, P.M. (2002) ‘Numerical solution of a non-uniquely solvable Volterra integral equation using extrapolation methods’, Journal of Computational and Applied Mathematics, Vol. 140, pp.537–557.
-
(2002)
Journal of Computational and Applied Mathematics
, vol.140
, pp. 537-557
-
-
Diogo, T.1
Lima, P.M.2
-
20
-
-
0023252931
-
Bounds for the solution of hyperbolic problems
-
Dobner, H-J. (1987) ‘Bounds for the solution of hyperbolic problems’, Computing, Vol. 38, pp.209–218.
-
(1987)
Computing
, vol.38
, pp. 209-218
-
-
Dobner, H.-J.1
-
21
-
-
2442700010
-
Bounds of high quality for first kind Volterra integral equations
-
Dobner, H-J. (1996) ‘Bounds of high quality for first kind Volterra integral equations’, Reliable Computing, Vol. 2, No. 1, pp.35–45.
-
(1996)
Reliable Computing
, vol.2
, Issue.1
, pp. 35-45
-
-
Dobner, H.-J.1
-
22
-
-
0029517385
-
A new optimizer using particles swarm theory
-
Nagoya, Japan
-
Eberhart, R.C. and Kennedy, J. (1995) ‘A new optimizer using particles swarm theory’, Sixth International Symposium on Micro Machine and Human Science, Nagoya, Japan, pp.39–43.
-
(1995)
Sixth International Symposium on Micro Machine and Human Science
, pp. 39-43
-
-
Eberhart, R.C.1
Kennedy, J.2
-
23
-
-
84879015433
-
Parameter selection in particle swarm optimization
-
Porto, V.W., Saravanan, N., Waagen, D. and Eiben, A.E. (Eds.) Springer
-
Eberhart, R.C. and Shi, Y. (1998) ‘Parameter selection in particle swarm optimization’, in Porto, V.W., Saravanan, N., Waagen, D. and Eiben, A.E. (Eds.): Lecture Notes in Computer Science-Evolutionary Programming VII, Springer, Vol. 1447, pp.591–600.
-
(1998)
Lecture Notes in Computer Science-Evolutionary Programming VII
, vol.1447
, pp. 591-600
-
-
Eberhart, R.C.1
Shi, Y.2
-
24
-
-
0004007325
-
-
Academic Press Professional, Boston
-
Eberhart, R.C., Simpson, P.K. and Dobbins, R.W. (1996) Computational Intelligence PC Tools, Academic Press Professional, Boston.
-
(1996)
Computational Intelligence PC Tools
-
-
Eberhart, R.C.1
Simpson, P.K.2
Dobbins, R.W.3
-
25
-
-
0037272247
-
A recursive algorithm for the approximate solution of Volterra integral equations of the first kind of convolution type
-
Fagnani, F. and Pandolfi, L. (2003) ‘A recursive algorithm for the approximate solution of Volterra integral equations of the first kind of convolution type’, Inverse Problems, Vol. 19, pp.23–47.
-
(2003)
Inverse Problems
, vol.19
, pp. 23-47
-
-
Fagnani, F.1
Pandolfi, L.2
-
26
-
-
0032634122
-
Integral equations and potential-theoretic type integrals of orthogonal polynomials
-
Fahmy, M.H., Abdou, M.A. and Darwish, M.A. (1999) ‘Integral equations and potential-theoretic type integrals of orthogonal polynomials’, J. Comput. Appl. Math., Vol. 106, No. 2, pp.245–254.
-
(1999)
J. Comput. Appl. Math.
, vol.106
, Issue.2
, pp. 245-254
-
-
Fahmy, M.H.1
Abdou, M.A.2
Darwish, M.A.3
-
27
-
-
11144259957
-
Linear Volterra integral equations
-
Federson, M., Bianconi, R. and Barbanti, L. (2002) ‘Linear Volterra integral equations’, Acta Math Appl. Sinica (English Series), Vol. 18, No. 4, pp.553–560.
-
(2002)
Acta Math Appl. Sinica (English Series)
, vol.18
, Issue.4
, pp. 553-560
-
-
Federson, M.1
Bianconi, R.2
Barbanti, L.3
-
28
-
-
11144297499
-
Linear Volterra integral equations as the limit of discrete systems
-
Federson, M., Bianconi, R. and Barbanti, L. (2003) ‘Linear Volterra integral equations as the limit of discrete systems’, Cadernos De Matematica, Vol. 4, pp.331–352.
-
(2003)
Cadernos De Matematica
, vol.4
, pp. 331-352
-
-
Federson, M.1
Bianconi, R.2
Barbanti, L.3
-
29
-
-
0001898279
-
Particle swarms in size and shape optimization
-
South Africa, August 7-10
-
Fourie, P.C. and Groenwold, A.A. (2000) ‘Particle swarms in size and shape optimization’, Proceedings of the International Workshop on Multi-disciplinary Design Optimization, Pretoria, South Africa, August 7-10, pp.97–106.
-
(2000)
Proceedings of the International Workshop on Multi-disciplinary Design Optimization, Pretoria
, pp. 97-106
-
-
Fourie, P.C.1
Groenwold, A.A.2
-
30
-
-
0005852821
-
Particle swarms in topology optimization
-
Dalian, China, June 4-8
-
Fourie, P.C. and Groenwold, A.A. (2001) ‘Particle swarms in topology optimization’, Extended Abstracts of the Fourth World Congress of Structural and Multidisciplinary Optimization, Dalian, China, June 4-8, pp.52, 53.
-
(2001)
Extended Abstracts of the Fourth World Congress of Structural and Multidisciplinary Optimization
, pp. 52
-
-
Fourie, P.C.1
Groenwold, A.A.2
-
31
-
-
0003560312
-
-
Springer Verlag, Berlin
-
Hammer, R., Hocks, M., Kulisch, U. and Ratz, D. (1995) Numerical Toolbox for Verified Computing I, Springer Verlag, Berlin.
-
(1995)
Numerical Toolbox for Verified Computing I
-
-
Hammer, R.1
Hocks, M.2
Kulisch, U.3
Ratz, D.4
-
32
-
-
0033208056
-
Multilevel correction for discrete collocation solutions of Volterra integral equations with delay arguments
-
Hu, Q. (1999) ‘Multilevel correction for discrete collocation solutions of Volterra integral equations with delay arguments’, Applied Numerical Mathematics, Vol. 31, pp.159–171.
-
(1999)
Applied Numerical Mathematics
, vol.31
, pp. 159-171
-
-
Hu, Q.1
-
33
-
-
11144334450
-
Theoremes fondamentaux de la theorie des equations differentielles ordinaires dans l’espace vectoriel topologique
-
Tokyo, Sec. 1
-
Hukuhara, M. (1959) ‘Theoremes fondamentaux de la theorie des equations differentielles ordinaires dans l’espace vectoriel topologique’, J. Fac. Sci. Univ., Tokyo, Sec. 1, Vol. 8, No. 1, pp.111–138.
-
(1959)
J. Fac. Sci. Univ.
, vol.8
, Issue.1
, pp. 111-138
-
-
Hukuhara, M.1
-
34
-
-
0034564177
-
Numerical solution of nonlinear hypersingular integral equations of the Peierls type in dislocation theory
-
Karlin, V., Maz’ya, V.G., Movchan, A.B., Willis, J.R. and Bullough, R. (2000) ‘Numerical solution of nonlinear hypersingular integral equations of the Peierls type in dislocation theory’, SIAM Journal on Applied Mathematics, Vol. 60, pp.664–678.
-
(2000)
SIAM Journal on Applied Mathematics
, vol.60
, pp. 664-678
-
-
Karlin, V.1
Maz’ya, V.G.2
Movchan, A.B.3
Willis, J.R.4
Bullough, R.5
-
35
-
-
0039329165
-
Continuous collocation approximations to solutions of first kind Volterra equations
-
Kauthen, J.P. and Brunner, H. (1997) ‘Continuous collocation approximations to solutions of first kind Volterra equations’, Mathematics of Computation, Vol. 66, pp.1441–1459.
-
(1997)
Mathematics of Computation
, vol.66
, pp. 1441-1459
-
-
Kauthen, J.P.1
Brunner, H.2
-
36
-
-
37049013963
-
The behavior of particles
-
Kennedy, J. (1998) ‘The behavior of particles’, Evol. Progr., Vol. VII, pp.581–587.
-
(1998)
Evol. Progr.
, vol.7
, pp. 581-587
-
-
Kennedy, J.1
-
37
-
-
0029535737
-
Particle swarm optimization
-
Piscataway, NJ, USA
-
Kennedy, J. and Eberhart, R.C. (1995) ‘Particle swarm optimization’, Proc. IEEE Int. Conf. Neural Networks, Piscataway, NJ, USA, pp.1942–1948.
-
(1995)
Proc. IEEE Int. Conf. Neural Networks
, pp. 1942-1948
-
-
Kennedy, J.1
Eberhart, R.C.2
-
39
-
-
0031674071
-
Matching algorithms to problems: an experimental test of the particle swarm and some genetic algorithms on the multimodal problem generator
-
Anchorage, Alaska, May 4-9
-
Kennedy, J. and Spears, W.M. (1998) ‘Matching algorithms to problems: an experimental test of the particle swarm and some genetic algorithms on the multimodal problem generator’, Proceedings of the (1998) IEEE International Conference on Evolutionary Computation, Anchorage, Alaska, May 4-9.
-
(1998)
Proceedings of the (1998) IEEE International Conference on Evolutionary Computation
-
-
Kennedy, J.1
Spears, W.M.2
-
41
-
-
84952964307
-
Analytical and Numerical
-
SIAM, Philadelphia
-
Linz, P. (1985) Analytical and Numerical Methods for Volterra Equations, SIAM, Philadelphia.
-
(1985)
Methods for Volterra Equations
-
-
Linz, P.1
-
42
-
-
0042956210
-
-
Wadsworth Publishing Company, Belmont California
-
Maron, M. and Lopez, R. (1991) Numerical Analysis, Wadsworth Publishing Company, Belmont California.
-
(1991)
Numerical Analysis
-
-
Maron, M.1
Lopez, R.2
-
43
-
-
0040891781
-
Smoothness of solutions of Volterra integral equations with weakly singular kernels
-
Miller, R.K. and Feldstein, A. (1971) ‘Smoothness of solutions of Volterra integral equations with weakly singular kernels’, SIAM J. Math. Anal., Vol.2, pp.242–258.
-
(1971)
SIAM J. Math. Anal.
, vol.2
, pp. 242-258
-
-
Miller, R.K.1
Feldstein, A.2
-
44
-
-
0036963113
-
Cubic spline collocation for Volterra integral equations
-
Oja, P. and Saveljeva, D. (2002) ‘Cubic spline collocation for Volterra integral equations’, Computing, Vol. 69, pp.319–337.
-
(2002)
Computing
, vol.69
, pp. 319-337
-
-
Oja, P.1
Saveljeva, D.2
-
45
-
-
0002189485
-
Modification of the particle swarm optimizer for locating all the global minima
-
Kurkova, V. et al. (Eds.) Springer, New York
-
Parsopoulos, K.E. and Vrahatis, M.N. (2001) ‘Modification of the particle swarm optimizer for locating all the global minima’, in Kurkova, V. et al. (Eds.): Artificial Neural Networks and Genetic Algorithms, Springer, New York, pp.324–327.
-
(2001)
Artificial Neural Networks and Genetic Algorithms
, pp. 324-327
-
-
Parsopoulos, K.E.1
Vrahatis, M.N.2
-
46
-
-
0035418888
-
Objective function stretching to alleviate convergence to local minima
-
Parsopoulos, K.E., Plagianakos, V.P., Magoulas, G.D. and Vrahatis, M.N. (2001a) ‘Objective function stretching to alleviate convergence to local minima’, Nonlinear Analysis TMA, Vol. 47, pp.3419–3424.
-
(2001)
Nonlinear Analysis TMA
, vol.47
, pp. 3419-3424
-
-
Parsopoulos, K.E.1
Plagianakos, V.P.2
Magoulas, G.D.3
Vrahatis, M.N.4
-
47
-
-
0002395440
-
Stretching technique for obtaining global minimizers through particle swarm optimization
-
Indianapolis, USA
-
Parsopoulos, K.E., Plagianakos, V.P., Magoulas, G.D. and Vrahatis, M.N. (2001b) ‘Stretching technique for obtaining global minimizers through particle swarm optimization’, Proceedings of the PSO Workshop, Indianapolis, USA, pp.22–29.
-
(2001)
Proceedings of the PSO Workshop
, pp. 22-29
-
-
Parsopoulos, K.E.1
Plagianakos, V.P.2
Magoulas, G.D.3
Vrahatis, M.N.4
-
48
-
-
0031700696
-
A modified particle swarm optimizer
-
Anchorage, Alaska, May 4-9
-
Shi, Y. and Eberhart, R.C. (1998a) ‘A modified particle swarm optimizer’, Proceedings of the 1998 IEEE International Conference on Evolutionary Computation, Anchorage, Alaska, May 4-9.
-
(1998)
Proceedings of the 1998 IEEE International Conference on Evolutionary Computation
-
-
Shi, Y.1
Eberhart, R.C.2
-
51
-
-
0042199673
-
Numerical solution of Volterra integral equations with continuous or discontinuous terms
-
Westreich, D. and Cahlon, B. (1980) ‘Numerical solution of Volterra integral equations with continuous or discontinuous terms’, J. Inst. Maths Applics., Vol. 26, pp.175–186.
-
(1980)
J. Inst. Maths Applics
, vol.26
, pp. 175-186
-
-
Westreich, D.1
Cahlon, B.2
-
52
-
-
0007851839
-
The construction of reducible quadrature rules for Volterra integral and integro-differential equations
-
Wolkenfelt, P.H.M. (1982) ‘The construction of reducible quadrature rules for Volterra integral and integro-differential equations’, IMA J. Numer. Anal., Vol. 2, pp.131–152.
-
(1982)
IMA J. Numer. Anal.
, vol.2
, pp. 131-152
-
-
Wolkenfelt, P.H.M.1
-
53
-
-
11144349235
-
A generalized integral quadratic method: I. an efficient solution for one-dimensional Volterra integral
-
Zerarka, A. and Soukeur, A. (2005) ‘A generalized integral quadratic method: I. an efficient solution for one-dimensional Volterra integral’, Communication in Nonlinear Science and Numerical Simulation, Vol. 10, pp.653–663.
-
(2005)
Communication in Nonlinear Science and Numerical Simulation
, vol.10
, pp. 653-663
-
-
Zerarka, A.1
Soukeur, A.2
-
54
-
-
12344335673
-
Energy spectra of the Schrodinger equation and the differential quadrature method
-
Zerarka, A., Hassouni, S., Saidi, H. and Boumedjane, Y. (2005) ‘Energy spectra of the Schrodinger equation and the differential quadrature method’, Communication in Nonlinear Science and Numerical Simulation, Vol. 10, pp.737–745.
-
(2005)
Communication in Nonlinear Science and Numerical Simulation
, vol.10
, pp. 737-745
-
-
Zerarka, A.1
Hassouni, S.2
Saidi, H.3
Boumedjane, Y.4
|