-
1
-
-
0000139676
-
2 for the sparse representation of integral operators
-
2 for the sparse representation of integral operators, SIAM J. Math. Anal., 24 (1993), pp. 246-262.
-
(1993)
SIAM J. Math. Anal.
, vol.24
, pp. 246-262
-
-
Alpert, B.K.1
-
2
-
-
0003655742
-
-
Cambridge University Press, Cambridge, New York, Melbourne
-
K. E. ATKINSON, The Numerical Solution of Integral Equations of the Second Kind, Cambridge University Press, Cambridge, New York, Melbourne, 1997.
-
(1997)
The Numerical Solution of Integral Equations of the Second Kind
-
-
Atkinson, K.E.1
-
3
-
-
84990610636
-
Fast wavelet transforms and numerical algorithms i
-
G. BEYLKIN, R. COIFMAN AND V. ROKHLIN, Fast wavelet transforms and numerical algorithms I, Comm. Pure Appl. Math., 44 (1991), pp. 141-183.
-
(1991)
Comm. Pure Appl. Math.
, vol.44
, pp. 141-183
-
-
Beylkin, G.1
Coifman, R.2
Rokhlin, V.3
-
4
-
-
0032166734
-
Prewavelet approximations for a system of boundary integral equations for plates with free edges on polygons
-
C. BOURGEOIS AND S. NICAISE, Prewavelet approximations for a system of boundary integral equations for plates with free edges on polygons, Math. Methods Appl. Sci., 21 (1998), pp. 1233-1267.
-
(1998)
Math. Methods Appl. Sci.
, vol.21
, pp. 1233-1267
-
-
Bourgeois, C.1
Nicaise, S.2
-
5
-
-
0003855437
-
-
Vandenhoeck und Ruprecht, Göttingen
-
H. BRASS, Quadraturverfahren, Vandenhoeck und Ruprecht, Göttingen, 1977.
-
(1977)
Quadraturverfahren
-
-
Brass, H.1
-
6
-
-
0007372257
-
The wavelet element method Part I: Construction and Analysis
-
C. CANUTO, A. TABACCO AND K. URBAN, The wavelet element method Part I: Construction and Analysis, Appl. Comput. Harmon. Anal., 6 (1999), pp. 1-52.
-
(1999)
Appl. Comput. Harmon. Anal.
, vol.6
, pp. 1-52
-
-
Canuto, C.1
Tabacco, A.2
Urban, K.3
-
7
-
-
0012377750
-
The wavelet element method Part H: Realization and additional features in 2D and 3D
-
C. CANUTO, A. TABACCO AND K. URBAN, The wavelet element method Part H: Realization and additional features in 2D and 3D, Appl. Comput. Harmon. Anal., 8 (1999), pp. 123-165.
-
(1999)
Appl. Comput. Harmon. Anal.
, vol.8
, pp. 123-165
-
-
Canuto, C.1
Tabacco, A.2
Urban, K.3
-
8
-
-
0003383813
-
Numerical solution of elliptic problems by the wavelet element method
-
H.G. Bock et al., eds., World Scientific, Singapore
-
C. CANUTO, A. TABACCO AND K. URBAN, Numerical solution of elliptic problems by the wavelet element method, in Proceedings of the 2nd ENUMATH 97 conference, H.G. Bock et al., eds., World Scientific, Singapore, 1998, pp. 17-37.
-
(1998)
Proceedings of the 2nd ENUMATH 97 Conference
, pp. 17-37
-
-
Canuto, C.1
Tabacco, A.2
Urban, K.3
-
9
-
-
21844509892
-
Numerical evaluation of surface integrals in three dimensions
-
D. CHIEN, Numerical evaluation of surface integrals in three dimensions, Math. Comp., 64 (1995), pp. 727-743.
-
(1995)
Math. Comp.
, vol.64
, pp. 727-743
-
-
Chien, D.1
-
10
-
-
84990623513
-
-
A. COHEN, I. DAUBECHIES AND J,-C. FEAUVEAU, Biorthogonal bases of compactly supported wavelets, Comm. Pure Appl. Math., 45 (1992), pp. 485-560.
-
(1992)
Biorthogonal Bases of Compactly Supported Wavelets, Comm. Pure Appl. Math.
, vol.45
, pp. 485-560
-
-
Cohen, A.1
Daubechies, I.2
Feauveau, J.-C.3
-
11
-
-
0039568980
-
Spline collocation for strongly elliptic equations on the torus
-
M. COSTABEL AND W. McLEAN, Spline collocation for strongly elliptic equations on the torus, Numer. Math., 62 (1992), pp. 511-538.
-
(1992)
Numer. Math.
, vol.62
, pp. 511-538
-
-
Costabel, M.1
McLean, W.2
-
12
-
-
1842484444
-
Stability of multiscale transformations
-
W. DÄMMEN, Stability of multiscale transformations, J. Fourier Anal. Appl., 2 (1996), pp. 341361.
-
(1996)
J. Fourier Anal. Appl.
, vol.2
, pp. 341361
-
-
Dämmen, W.1
-
13
-
-
33845592412
-
Multilevel preconditioning
-
W. DÄMMEN AND A. KUNOTH, Multilevel preconditioning, Numer. Math., 63 (1992), pp. SIS344.
-
(1992)
Numer. Math.
, vol.63
-
-
Dämmen, W.1
Kunoth, A.2
-
14
-
-
51249161722
-
-
W. DÄMMEN, S. PRöSSDORF AND R. SCHNEIDER, Wavelet approximation methods for pseudodifferential equations I: Stability and convergence, Math. Z., 215 (1994), pp. 583-620.
-
(1994)
Wavelet Approximation Methods for Pseudodifferential Equations I: Stability and Convergence, Math. Z.
, vol.215
, pp. 583-620
-
-
Dämmen, W.1
Prössdorf, S.2
Schneider, R.3
-
15
-
-
0000827236
-
-
W. DÄMMEN, S. PRÖSSDORF AND R. SCHNEIDER, Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution, Adv. Comput. Math., 1 (1993), pp. 259-335.
-
(1993)
Wavelet Approximation Methods for Pseudodifferential Equations II: Matrix Compression and Fast Solution, Adv. Comput. Math.
, vol.1
, pp. 259-335
-
-
Dämmen, W.1
Prössdorf, S.2
Schneider, R.3
-
16
-
-
0033426280
-
Composite wavelet bases for operator equations
-
W. DAHMEN AND R. SCHNEIDER, Composite wavelet bases for operator equations, Math. Comp., 68 (1999), pp. 1533-1567.
-
(1999)
Math. Comp.
, vol.68
, pp. 1533-1567
-
-
Dahmen, W.1
Schneider, R.2
-
17
-
-
0033233501
-
Wavelets on manifolds I: Construction and Domain Decomposition
-
W. DAHMEN AND R. SCHNEIDER, Wavelets on manifolds I: Construction and Domain Decomposition, SIAM J. Math. Anal., 31 (1999), pp. 184-230.
-
(1999)
SIAM J. Math. Anal.
, vol.31
, pp. 184-230
-
-
Dahmen, W.1
Schneider, R.2
-
18
-
-
0000619262
-
Wavelets with complementary boundary conditions - Function spaces on the cube
-
W. DAHMEN AND R. SCHNEIDER, Wavelets with complementary boundary conditions - Function spaces on the cube, Results Math., 34 (1998), pp. 255-293.
-
(1998)
Results Math.
, vol.34
, pp. 255-293
-
-
Dahmen, W.1
Schneider, R.2
-
19
-
-
0000930347
-
Element-by element construction of wavelets satisfying stability and moment conditions
-
W. DAHMEN AND R. STEVENSON, Element-by element construction of wavelets satisfying stability and moment conditions, SIAM J. Numer. Anal., 37 (1999), pp. 319-325.
-
(1999)
SIAM J. Numer. Anal.
, vol.37
, pp. 319-325
-
-
Dahmen, W.1
Stevenson, R.2
-
20
-
-
0003833285
-
Ten Lectures on Wavelets
-
SIAM, Philadelphia
-
I. DAUBECHIES, Ten Lectures on Wavelets, CBMS Lecture Notes 61, SIAM, Philadelphia, 1992.
-
(1992)
CBMS Lecture Notes
, vol.61
-
-
Daubechies, I.1
-
21
-
-
0041815519
-
On the estimation of wavelet coefficients
-
S. EHRICH, On the estimation of wavelet coefficients, Adv. Comput. Math., 13 (2000), pp. 1 OS129.
-
(2000)
Adv. Comput. Math.
, vol.13
-
-
Ehrich, S.1
-
22
-
-
0026940481
-
Numerical quadratures for layer potentials over curved domains in R
-
J.-L. GUERMOND, Numerical quadratures for layer potentials over curved domains in R, SIAM J. Numer. Anal., 29 (1992), pp. 1347-1369.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 1347-1369
-
-
Guermond, J.-L.1
-
23
-
-
0001617415
-
On the fast matrix multiplication in the boundary element method by panel clustering
-
W. HACKBUSCH AND Z. P. NOWAK, On the fast matrix multiplication in the boundary element method by panel clustering, Numer. Math., 54 (1989), pp. 463-491.
-
(1989)
Numer. Math.
, vol.54
, pp. 463-491
-
-
Hackbusch, W.1
Nowak, Z.P.2
-
24
-
-
0028485163
-
Fast multire solution algorithms for matrix-vector multiplication
-
A. HARTEN AND I. YAD-SHALOM, Fast multire solution algorithms for matrix-vector multiplication, SIAM J. Numer. Anal., 31 (1994), pp. 1191-1218.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 1191-1218
-
-
Harten, A.1
Yad-Shalom, I.2
-
25
-
-
0039583047
-
An analysis of quadrature errors in second-kind boundary integral methods
-
C. G. L. JOHNSON AND L. R. SCOTT, An analysis of quadrature errors in second-kind boundary integral methods, SIAM J. Numer. Anal., 26 (1989), pp. 1356-1382.
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, pp. 1356-1382
-
-
Johnson, C.G.L.1
Scott, L.R.2
-
26
-
-
0042817427
-
-
Dissertation, Christian-AlbrechtsUniversität, Kiel
-
J. JUNKHERR, Effiziente Lösung von Gleichungssystemen, die aus der Diskretisierung von schwach singulären Integralgleichungen 1. Art herrühren, Dissertation, Christian-AlbrechtsUniversität, Kiel, 1994.
-
(1994)
Effiziente Lösung von Gleichungssystemen, Die Aus der Diskretisierung von Schwach Singulären Integralgleichungen 1. Art Herrühren
-
-
Junkherr, J.1
-
27
-
-
0000572250
-
Numerical evolution of singular and finitepart integrals on curved surfaces using symbolic manipulation
-
R. KIESER, C. SCHWAB AND W. L. WENDLAND, Numerical evolution of singular and finitepart integrals on curved surfaces using symbolic manipulation, Computing, 49 (1992), pp. 279-301.
-
(1992)
Computing
, vol.49
, pp. 279-301
-
-
Kieser, R.1
Schwab, C.2
Wendland, W.L.3
-
28
-
-
0033293793
-
Wavelet Galerkin Algorithm for boundary integral equations
-
C. LAGE AND C. SCHWAB, Wavelet Galerkin Algorithm for boundary integral equations, SIAM J. Sci. Comput., 20 (1999), 6, pp. 2195-2222.
-
(1999)
SIAM J. Sci. Comput.
, vol.20
, Issue.6
, pp. 2195-2222
-
-
Lage, C.1
Schwab, C.2
-
30
-
-
0003347537
-
Boundary Integral Equations
-
Analysis I, V.G. Mazya and S.M. Nikol'skii, eds., Springer-Verlag, Berlin, Heidelberg
-
V. G. MAZYA, Boundary Integral Equations, Lncyclopaedia Math. Sci., 27, Analysis I, V.G. Mazya and S.M. Nikol'skii, eds., Springer-Verlag, Berlin, Heidelberg, 1991.
-
(1991)
Lncyclopaedia Math. Sci.
, vol.27
-
-
Mazya, V.G.1
-
31
-
-
0003902508
-
-
Springer-Verlag, Berlin, Heidelberg, New York, Tokyo
-
S. G. MlKHLIN AND S. PRÖSSDORF, Singular Integral Operators, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1986.
-
(1986)
Singular Integral Operators
-
-
Mlkhlin, S.G.1
Prössdorf, S.2
-
32
-
-
0001100395
-
Multiwaveletsfor second-kind integral equations
-
T. V. PETERSDORFF, R. SCHNEIDER AND C. SCHWAB, Multiwaveletsfor second-kind integral equations, SIAM J. Numer. Anal., 34 (1997), pp. 2212-2227.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 2212-2227
-
-
Petersdorff, T.V.1
Schneider, R.2
Schwab, C.3
-
33
-
-
0041016162
-
Boundary element methods with wavelets and mesh refinement
-
No. 95-10, SAM, Lidgenössische Technische Hochschule Zürich, 1995.
-
T. V. PETERSDORFF AND C. SCHWAB, Boundary element methods with wavelets and mesh refinement, Research Report, No. 95-10, SAM, Lidgenössische Technische Hochschule Zürich, 1995.
-
Research Report
-
-
Petersdorff, T.V.1
Schwab, C.2
-
34
-
-
77957232248
-
Fully discrete multiscale Galerkin BEM, in Multiresolution Analysis and PDL
-
A.J. Kurdial and P. Oswald, eds., Academic Press, San Diego, CA
-
T. V. PETERSDORFF AND C. SCHWAB, Fully discrete multiscale Galerkin BEM, in Multiresolution Analysis and PDL, A.J. Kurdial and P. Oswald, eds., Series: Wavelet Analysis and its Applications, Academic Press, San Diego, CA, 1997, pp. 287-346.
-
(1997)
Series: Wavelet Analysis and Its Applications
, pp. 287-346
-
-
Petersdorff, T.V.1
Schwab, C.2
-
35
-
-
0030496223
-
Wavelet approximations for first kind boundary integral equations on polygons
-
T. V. PETERSDORFF AND C. SCHWAB, Wavelet approximations for first kind boundary integral equations on polygons, Numer. Math., 74 (1996), pp. 479-516.
-
(1996)
Numer. Math.
, vol.74
, pp. 479-516
-
-
Petersdorff, T.V.1
Schwab, C.2
-
36
-
-
0041016164
-
/! spline collocation method for multidimensional strongly elliptic pseudodifferential operators of order zero
-
S. PRöSSDORF AND R. SCHNEIDER,/! spline collocation method for multidimensional strongly elliptic pseudodifferential operators of order zero, Integral Equations Operator Theory, 14 (1991), pp. 399-4135.
-
(1991)
Integral Equations Operator Theory
, vol.14
, pp. 399-4135
-
-
Prössdorf, S.1
Schneider, R.2
-
37
-
-
0041146999
-
Spline approximation methods for multidimensional periodic pseudodifferential equations
-
S. PRÖSSDORF AND R. SCHNEIDER, Spline approximation methods for multidimensional periodic pseudodifferential equations, Integral Equations Operator Theory, 15 (1992), pp. 626672.
-
(1992)
Integral Equations Operator Theory
, vol.15
, pp. 626672
-
-
Prössdorf, S.1
Schneider, R.2
-
38
-
-
0041314965
-
Approximation and commutator properties of projections onto shift-invariant subspaces and applications to boundary integral equations
-
S. PRÖSSDORF AND J. SCHULT, Approximation and commutator properties of projections onto shift-invariant subspaces and applications to boundary integral equations, J. Integral Equations Appl., 10 (1998), pp. 417-444.
-
(1998)
J. Integral Equations Appl.
, vol.10
, pp. 417-444
-
-
Prössdorf, S.1
Schult, J.2
-
39
-
-
0032074749
-
A wavelet algorithm for the boundary element solution of a geodetic boundary value problem
-
A. RATHSFELD,A wavelet algorithm for the boundary element solution of a geodetic boundary value problem, Comput. Methods Appl. Mech. Engrg., 157 (1998), pp. 267-287'.
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.157
, pp. 267-287
-
-
Rathsfeld, A.1
-
40
-
-
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), pp. 445-501.
-
(1998)
J. Integral Equations Appl.
, vol.10
, pp. 445-501
-
-
Rathsfeld, A.1
-
41
-
-
0037689654
-
A wavelet algorithm for the solution of the double layer potential equation over polygonal boundaries
-
A. RATHSFELD, A wavelet algorithm for the solution of the double layer potential equation over polygonal boundaries, J. Integral Equations Appl., 7 (1995), pp. 41-91.
-
(1995)
J. Integral Equations Appl.
, vol.7
, pp. 41-91
-
-
Rathsfeld, A.1
-
42
-
-
0042817428
-
On the stability of piecewise linear wavelet collocation and the solution of the double layer equation over polygonal curves
-
Mathematical Fundamentals of the Boundary Element Methods, M. Golberg, ed., Computational Mechanics Publications, Southampton
-
A. RATHSFELD, On the stability of piecewise linear wavelet collocation and the solution of the double layer equation over polygonal curves, in Mathematical Fundamentals of the Boundary Element Methods, M. Golberg, ed., Advances in Boundary Elements, Computational Mechanics Publications, Southampton, 1998, pp. 177-215.
-
(1998)
Advances in Boundary Elements
, pp. 177-215
-
-
Rathsfeld, A.1
-
43
-
-
0041314966
-
On a hierarchical three-point basis of piecewise linear functions over smooth surfaces
-
Problems and Methods in Mathematical Physics, J. Elschner, I. Gohberg, and B. Silbermann, eds., Birkhäuser Verlag, Basel, 2001
-
A. RATHSFELD, On a hierarchical three-point basis of piecewise linear functions over smooth surfaces, in Problems and Methods in Mathematical Physics, J. Elschner, I. Gohberg, and B. Silbermann, eds., Series: Operator Theory, Advances and Applications 121, Birkhäuser Verlag, Basel, 2001, pp. 442-410.
-
Series: Operator Theory, Advances and Applications
, vol.121
, pp. 442-1410
-
-
Rathsfeld, A.1
-
44
-
-
46549096170
-
Rapid solution of integral equations of classical potential theory
-
V. ROKHLIN, Rapid solution of integral equations of classical potential theory, J. Comput. Phys., 60(1983), pp. 187-207.
-
(1983)
J. Comput. Phys.
, vol.60
, pp. 187-207
-
-
Rokhlin, V.1
-
45
-
-
0000048673
-
GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
-
Y. SAAD AND M. H. SCHULTZ, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Statist. Comput., 7 (1986), pp. 856-869.
-
(1986)
SIAM J. Sci. Statist. Comput.
, vol.7
, pp. 856-869
-
-
Saad, Y.1
Schultz, M.H.2
-
46
-
-
0343744667
-
Cubature techniques for 3-D Galerkin BEM
-
Boundary Elements: Implementation and Analysis of Advanced Algorithms, W. Hackbusch, ed., Vieweg Verlag, Braunschweig, Wiesbaden
-
S. SAUTER, Cubature techniques for 3-D Galerkin BEM, in Boundary Elements: Implementation and Analysis of Advanced Algorithms, W. Hackbusch, ed., Notes on Numerical Fluid Mechanics, vol. 54, Vieweg Verlag, Braunschweig, Wiesbaden, 1996, pp. 29-4-4.
-
(1996)
Notes on Numerical Fluid Mechanics
, vol.54
, pp. 29-44
-
-
Sauter, S.1
-
47
-
-
0004170426
-
-
Habilitationsschrift, Fachbereich Mathematik, Technische Hochschule Darmstadt 1995; Advances in Numerical Mathematics, Teubner, Stuttgart
-
R. SCHNEIDER, Multiskalen- und Waveletkompression: Analysisbasierte Methoden zur effizienten Lösung groβer vollbesetzter Gleichungssysteme, Habilitationsschrift, Fachbereich Mathematik, Technische Hochschule Darmstadt 1995; Advances in Numerical Mathematics, Teubner, Stuttgart, 1998.
-
(1998)
Multiskalen- und Waveletkompression: Analysisbasierte Methoden Zur Effizienten Lösung Groβer Vollbesetzter Gleichungssysteme
-
-
Schneider, R.1
-
48
-
-
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), pp. 173-194.
-
(1994)
Computing
, vol.53
, pp. 173-194
-
-
Schwab, C.1
-
49
-
-
0032390114
-
Stable three-point wavelet bases on general meshes
-
R. STEVENSON, Stable three-point wavelet bases on general meshes, Numer. Math., 80 (1998), pp. 131-158.
-
(1998)
Numer. Math.
, vol.80
, pp. 131-158
-
-
Stevenson, R.1
-
52
-
-
0032333693
-
Wavelet based preconditioned for boundary integral operators
-
T. TRAN, E. P. STEPHAN AND S. ZAPRIANOV, Wavelet based preconditioned for boundary integral operators, Adv. Comput. Math., 9 (1998), pp. 233-249.
-
(1998)
Adv. Comput. Math.
, vol.9
, pp. 233-249
-
-
Tran, T.1
Stephan, E.P.2
Zaprianov, S.3
|