-
1
-
-
0000139676
-
A class of bases in L2 for the sparse representation of integral operators
-
B.K. Alpert, A class of bases in L2 for the sparse representation of integral operators, SIAM J. Math. Anal. 24 (1993), 246 262.
-
(1993)
SIAM J. Math. Anal.
, vol.24
, pp. 246-262
-
-
Alpert, B.K.1
-
2
-
-
0003223536
-
A survey of boundary integral equation methods for the numerical solution of Laplace's equation in three dimensions
-
in Numerical solution of integral equations (M. Golberg, ed.), Plenum Press, New York
-
K.E. Atkinson, A survey of boundary integral equation methods for the numerical solution of Laplace's equation in three dimensions, in Numerical solution of integral equations (M. Golberg, ed.), Plenum Press, New York, 1990.
-
(1990)
-
-
Atkinson, K.E.1
-
3
-
-
0003655742
-
The numerical solution of integral equations of the second kind
-
Cambridge Univ. Press, Cambridge
-
K.E. Atkinson, The numerical solution of integral equations of the second kind, Cambridge Univ. Press, Cambridge, 1997.
-
(1997)
-
-
Atkinson, K.E.1
-
4
-
-
0000416592
-
The collocation method for solving the radiosity equation for unoccluded surfaces
-
K.E. Atkinson and G. Chandler, The collocation method for solving the radiosity equation for unoccluded surfaces, J. Integral Equations Appl. 10 (1998), 253 290.
-
(1998)
J. Integral Equations Appl.
, vol.10
, pp. 253-290
-
-
Atkinson, K.E.1
Chandler, G.2
-
5
-
-
0000614056
-
Piecewise polynomial collocation for boundary integral equations
-
K.E. Atkinson and D. Chien, Piecewise polynomial collocation for boundary integral equations, SIAM J. Sci. Comput. 16 (1994), 651 681.
-
(1994)
SIAM J. Sci. Comput.
, vol.16
, pp. 651-681
-
-
Atkinson, K.E.1
Chien, D.2
-
6
-
-
22844454627
-
A fast matrix-vector multiplication method for solving the radiosity equation
-
K.E. Atkinson, A fast matrix-vector multiplication method for solving the radiosity equation, Adv. Comput. Math. 12 (2000), 151 174.
-
(2000)
Adv. Comput. Math.
, vol.12
, pp. 151-174
-
-
Atkinson, K.E.1
-
7
-
-
0009286111
-
Piecewise continuous collocation for integral equations
-
K.E. Atkinson, I. Graham and I. Sloan, Piecewise continuous collocation for integral equations, SIAM J. Numer. Anal. 20 (1983), 172 186.
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, pp. 172-186
-
-
Atkinson, K.E.1
Graham, I.2
Sloan, I.3
-
9
-
-
21744452540
-
The Petrov-Galerkin methods for second kind integral equations II: Multiwavelet scheme
-
Z. Chen, C.A. Micchelli and Y. Xu, The Petrov-Galerkin methods for second kind integral equations II: Multiwavelet scheme, Adv. Comput. Math. 7 (1997), 199 233.
-
(1997)
Adv. Comput. Math.
, vol.7
, pp. 199-233
-
-
Chen, Z.1
Micchelli, C.A.2
Xu, Y.3
-
10
-
-
0033456757
-
A construction of interpolating wavelets on invariant sets
-
Z. Chen, A construction of interpolating wavelets on invariant sets, Math. Comp. 68 (1999), 1569 1587.
-
(1999)
Math. Comp.
, vol.68
, pp. 1569-1587
-
-
Chen, Z.1
-
11
-
-
0036556665
-
Fast collocation methods for second kind integral equations
-
Z. Chen, Fast collocation methods for second kind integral equations, SIAMJ. Numer. Anal. 40 (2002), 344 375.
-
(2002)
SIAMJ. Numer. Anal.
, vol.40
, pp. 344-375
-
-
Chen, Z.1
-
12
-
-
0035888656
-
A multilevel method for solving operator equations
-
Z. Chen, A multilevel method for solving operator equations, J. Math. Anal. Appl. 262 (2001), 688 699.
-
(2001)
J. Math. Anal. Appl.
, vol.262
, pp. 688-699
-
-
Chen, Z.1
-
13
-
-
31844437667
-
Multilevel augmentation methods for solving operator equations
-
Z. Chen, B. Wu and Y. Xu, Multilevel augmentation methods for solving operator equations, Numer. Math. J. Chinese U. (English Ser.) 14 (2005), 31 55.
-
(2005)
Numer. Math. J. Chinese U. (English Ser.)
, vol.14
, pp. 31-55
-
-
Chen, Z.1
Wu, B.2
Xu, Y.3
-
14
-
-
34147156373
-
Error control strategies for numerical integrations in fast collocation methods
-
Z. Chen, Error control strategies for numerical integrations in fast collocation methods, Northeast. Math. J. 21 (2005), 233 252.
-
(2005)
Northeast. Math. J.
, vol.21
, pp. 233-252
-
-
Chen, Z.1
-
15
-
-
0005554354
-
A multiscale method for the double layer potential equation on a polyhedron
-
in Advances in computational mathematics (H.P. Dikshit and C.A. Micchelli, eds.), World Scientific, Singapore
-
W. Dahmen, B. Kleemann, S. Prössdorf and R. Schneider, A multiscale method for the double layer potential equation on a polyhedron, in Advances in computational mathematics (H.P. Dikshit and C.A. Micchelli, eds.), World Scientific, Singapore, 1994.
-
(1994)
-
-
Dahmen, W.1
Kleemann, B.2
Prössdorf, S.3
Schneider, R.4
-
16
-
-
51249161722
-
Wavelet approximation methods for pseudodifferential equations I: Stability and convergence
-
W. Dahmen, S. Prössdorf and R. Schneider, Wavelet approximation methods for pseudodifferential equations I: Stability and convergence, Math. Z. 215 (1994), 583 620.
-
(1994)
Math. Z.
, vol.215
, pp. 583-620
-
-
Dahmen, W.1
Prössdorf, S.2
Schneider, R.3
-
17
-
-
0000827236
-
Wavelet approximation methods for pseudo-differential equations II: Matrix compression and fast solutions
-
W. Dahmen, Wavelet approximation methods for pseudo-differential equations II: Matrix compression and fast solutions, Adv. Comput. Math. 1 (1993), 259 335.
-
(1993)
Adv. Comput. Math.
, vol.1
, pp. 259-335
-
-
Dahmen, W.1
-
18
-
-
1842722770
-
Multilevel iteration methods for solving integral equations of the second kind
-
W. Fang, F. Ma and Y. Xu, Multilevel iteration methods for solving integral equations of the second kind, J. Integral Equations Appl. 14 (2002), 355 376.
-
(2002)
J. Integral Equations Appl.
, vol.14
, pp. 355-376
-
-
Fang, W.1
Ma, F.2
Xu, Y.3
-
19
-
-
1842823646
-
An implementation of fast wavelet Galerkin methods for integral equations of the second kind
-
W. Fang, Y. Wang and Y. Xu, An implementation of fast wavelet Galerkin methods for integral equations of the second kind, J. Sci. Comput. 20, (2004), 277 302.
-
(2004)
J. Sci. Comput.
, vol.20
, pp. 277-302
-
-
Fang, W.1
Wang, Y.2
Xu, Y.3
-
20
-
-
84968466213
-
Gauss-type quadratures for weakly singular integrals and their application to Fredholm integral equations of the second kind
-
H. Kaneko and Y. Xu, Gauss-type quadratures for weakly singular integrals and their application to Fredholm integral equations of the second kind, Math. Comp. 62 (1994), 739 753.
-
(1994)
Math. Comp.
, vol.62
, pp. 739-753
-
-
Kaneko, H.1
Xu, Y.2
-
21
-
-
0003449635
-
Linear integral equations
-
2nd ed., Springer-Verlag, New York
-
R. Kress, Linear integral equations, 2nd ed., Springer-Verlag, New York, 1999.
-
(1999)
-
-
Kress, R.1
-
22
-
-
0042745034
-
A construction of refinable sets for interpolating wavelets
-
C.A. Micchelli, T. Sauer and Y. Xu, A construction of refinable sets for interpolating wavelets, Resultate Math. 34 (1998), 359 372.
-
(1998)
Resultate Math.
, vol.34
, pp. 359-372
-
-
Micchelli, C.A.1
Sauer, T.2
Xu, Y.3
-
23
-
-
0028499152
-
Using the matrix refinement equation for the construction of wavelets on invariant sets
-
C.A. Micchelli and Y. Xu, Using the matrix refinement equation for the construction of wavelets on invariant sets, Appl. Comput. Harmon. Anal. 1 (1994), 391 401.
-
(1994)
Appl. Comput. Harmon. Anal.
, vol.1
, pp. 391-401
-
-
Micchelli, C.A.1
Xu, Y.2
-
24
-
-
0030785892
-
Reconstruction and decomposition algorithms for biorthogonal multiwavelets
-
C.A. Micchelli, Reconstruction and decomposition algorithms for biorthogonal multiwavelets, Multidimens. Systems Signal Process. 8 (1997), 31 69.
-
(1997)
Multidimens. Systems Signal Process.
, vol.8
, pp. 31-69
-
-
Micchelli, C.A.1
-
25
-
-
0031277073
-
Wavelet Garlerkin methods for secondkind integral equations
-
C.A. Micchelli, Y. Xu and Y. Zhao, Wavelet Garlerkin methods for secondkind integral equations, J. Comput. Appl. Math. 86 (1997), 251 270.
-
(1997)
J. Comput. Appl. Math.
, vol.86
, pp. 251-270
-
-
Micchelli, C.A.1
Xu, Y.2
Zhao, Y.3
-
26
-
-
0041815525
-
A wavelet algorithm for the solution of a singular integral equation over a smooth two-dimensional manifold
-
A. Rathsfeld, A wavelet algorithm for the solution of a singular integral equation over a smooth two-dimensional manifold, J. Integral Equations Appl. 10 (1998), 445 501.
-
(1998)
J. Integral Equations Appl.
, vol.10
, pp. 445-501
-
-
Rathsfeld, A.1
-
27
-
-
0000879972
-
Variable order composite quadrature of singular and nearly singular integrals
-
C. Schwab, Variable order composite quadrature of singular and nearly singular integrals, Computing 53 (1994), 173 194.
-
(1994)
Computing
, vol.53
, pp. 173-194
-
-
Schwab, C.1
-
28
-
-
0003362643
-
Orthogonal polynomials
-
rev. ed., Amer. Math. Soc., Providence, RI
-
G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ., vol. 23, rev. ed., Amer. Math. Soc., Providence, RI, 1959.
-
(1959)
Amer. Math. Soc. Colloq. Publ.
, vol.23
-
-
Szegö, G.1
-
29
-
-
0030496223
-
Wavelet approximation of first kind integral equations in a polygon
-
T. Von Petersdorff and C. Schwab, Wavelet approximation of first kind integral equations in a polygon, Numer. Math. 74 (1996), 479 516.
-
(1996)
Numer. Math.
, vol.74
, pp. 479-516
-
-
Von Petersdorff, T.1
Schwab, C.2
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