-
5
-
-
0028448067
-
Sum-accelerated pseudospectral methods - finite-differences and sech-weighted differences
-
Boyd JP. Sum-accelerated pseudospectral methods - finite-differences and sech-weighted differences. Computer Methods in Applied Mechanics and Engineering 1994; 116:1-11.
-
(1994)
Computer Methods in Applied Mechanics and Engineering
, vol.116
, pp. 1-11
-
-
Boyd, J.P.1
-
6
-
-
0001362649
-
High accuracy solution of Maxwell's equations using nonstandard finite differences
-
Cole JB. High accuracy solution of Maxwell's equations using nonstandard finite differences. Computational Physics 1997; 11:287-292.
-
(1997)
Computational Physics
, vol.11
, pp. 287-292
-
-
Cole, J.B.1
-
7
-
-
0001660647
-
Finite-difference schemes for long time integration
-
Haras Z, Ta'asan S. Finite-difference schemes for long time integration. Journal of Computational Physics 1994; 114:265-279.
-
(1994)
Journal of Computational Physics
, vol.114
, pp. 265-279
-
-
Haras, Z.1
Ta'asan, S.2
-
8
-
-
0034770145
-
Numerical solution of the time-domain Maxwell equations using high accuracy finite-difference methods
-
Jurgens HM, Zingg DW. Numerical solution of the time-domain Maxwell equations using high accuracy finite-difference methods. SIAM Journal on Scientific Computing 2000; 22:1675-1696.
-
(2000)
SIAM Journal on Scientific Computing
, vol.22
, pp. 1675-1696
-
-
Jurgens, H.M.1
Zingg, D.W.2
-
9
-
-
9144220381
-
Compact finite difference scheme with spectral-like resolution
-
Lele SK. Compact finite difference scheme with spectral-like resolution. Journal of Computational Physics 1992; 103:16-42.
-
(1992)
Journal of Computational Physics
, vol.103
, pp. 16-42
-
-
Lele, S.K.1
-
11
-
-
19644369292
-
Dispersion-relation-preserving finite difference scheme for computational acoustics
-
Tam CKW, Webb JC. Dispersion-relation-preserving finite difference scheme for computational acoustics. Journal of Computational Physics 1993; 107:262-281.
-
(1993)
Journal of Computational Physics
, vol.107
, pp. 262-281
-
-
Tam, C.K.W.1
Webb, J.C.2
-
12
-
-
0031271311
-
Towards the construction of a fourth-order difference scheme for transient EM wave simulation: Staggered grid approach
-
Young JL, Gaitonde D, Shang JS. Towards the construction of a fourth-order difference scheme for transient EM wave simulation: staggered grid approach. IEEE Transactions on Antennas and Propagation 1997; 45:1573-1580.
-
(1997)
IEEE Transactions on Antennas and Propagation
, vol.45
, pp. 1573-1580
-
-
Young, J.L.1
Gaitonde, D.2
Shang, J.S.3
-
13
-
-
0000689353
-
The pseudospectral method for solving differential eigenvalue problems
-
Huang WZ, Sloan DM. The pseudospectral method for solving differential eigenvalue problems. Journal of Computational Physics 1994; 111:399-409.
-
(1994)
Journal of Computational Physics
, vol.111
, pp. 399-409
-
-
Huang, W.Z.1
Sloan, D.M.2
-
14
-
-
0002892275
-
Strict stability of high order compact implicit finite-difference schemes: The role of boundary conditions for hyperbolic PDEs, I
-
Abarbanel S, Chertock AE. Strict stability of high order compact implicit finite-difference schemes: the role of boundary conditions for hyperbolic PDEs, I. Journal of Computational Physics 2000; 160:42-66.
-
(2000)
Journal of Computational Physics
, vol.160
, pp. 42-66
-
-
Abarbanel, S.1
Chertock, A.E.2
-
15
-
-
0001473098
-
Time-stable boundary conditions for finite difference schemes solving hyperbolic systems: Methodology and applications to high order compact schemes
-
Carpenter MH, Gottlieb D, Abarbanel S. Time-stable boundary conditions for finite difference schemes solving hyperbolic systems: methodology and applications to high order compact schemes. Journal of Computational Physics 1994; 111:222-236.
-
(1994)
Journal of Computational Physics
, vol.111
, pp. 222-236
-
-
Carpenter, M.H.1
Gottlieb, D.2
Abarbanel, S.3
-
16
-
-
2342458444
-
Flexible local approximation method for electro- and mangetostatic
-
Tsukerman I. Flexible local approximation method for electro- and mangetostatic. IEEE Transactions on Magnetics 2004; 40:941-944.
-
(2004)
IEEE Transactions on Magnetics
, vol.40
, pp. 941-944
-
-
Tsukerman, I.1
-
17
-
-
23844526194
-
Electromagnetic applications of a new finite-difference calculus
-
Tsukerman I. Electromagnetic applications of a new finite-difference calculus. IEEE Transactions on Magnetics 2005; 41:2206-2225.
-
(2005)
IEEE Transactions on Magnetics
, vol.41
, pp. 2206-2225
-
-
Tsukerman, I.1
-
18
-
-
26944471129
-
A class of difference schemes with flexible local approximation
-
Tsukerman I. A class of difference schemes with flexible local approximation. Journal of Computational Physics 2006; 211:659-699.
-
(2006)
Journal of Computational Physics
, vol.211
, pp. 659-699
-
-
Tsukerman, I.1
-
20
-
-
41449104806
-
Computational Methods for Nanoscale Applications: Particle, Plasmons, and Waves
-
Springer: Berlin
-
Tsukerman I. Computational Methods for Nanoscale Applications: Particle, Plasmons, and Waves. Nanostructure Science and Technology Series. Springer: Berlin, 2007.
-
(2007)
Nanostructure Science and Technology Series
-
-
Tsukerman, I.1
-
21
-
-
0002449864
-
Summation by parts for finite difference approximations for d/ dx
-
Strand B. Summation by parts for finite difference approximations for d/ dx. Journal of Computational Physics 1994; 110:47-67.
-
(1994)
Journal of Computational Physics
, vol.110
, pp. 47-67
-
-
Strand, B.1
-
22
-
-
4544273333
-
Summation by parts operators for finite difference approximations of second derivatives
-
Mattsson K, Nordstrom J. Summation by parts operators for finite difference approximations of second derivatives. Journal of Computational Physics 2004; 199:503-540.
-
(2004)
Journal of Computational Physics
, vol.199
, pp. 503-540
-
-
Mattsson, K.1
Nordstrom, J.2
-
24
-
-
0000049711
-
Vibrations of non-uniform rings studied by means of the differential quadrature method
-
Gutierrez RH, Laura PAA. Vibrations of non-uniform rings studied by means of the differential quadrature method. Journal of Sound and Vibration 1995; 185:507-513.
-
(1995)
Journal of Sound and Vibration
, vol.185
, pp. 507-513
-
-
Gutierrez, R.H.1
Laura, P.A.A.2
-
25
-
-
0033079341
-
Treatment of mixed and nonuniform boundary conditions in GDQ vibration analysis of rectangular plates
-
Shu C, Wang CM. Treatment of mixed and nonuniform boundary conditions in GDQ vibration analysis of rectangular plates. Engineering Structures 1999; 21:125-134.
-
(1999)
Engineering Structures
, vol.21
, pp. 125-134
-
-
Shu, C.1
Wang, C.M.2
-
26
-
-
26444583020
-
Discrete singular convolution for solution of the Fokker-Planck equations
-
Wei GW. Discrete singular convolution for solution of the Fokker-Planck equations. Journal of Chemical Physics 1999; 110:8930-8942.
-
(1999)
Journal of Chemical Physics
, vol.110
, pp. 8930-8942
-
-
Wei, G.W.1
-
27
-
-
0037145686
-
Discrete singular convolution and its application to the analysis of plates with internal supports. I. Theory and algorithm
-
Wei GW, Zhao YB, Xiang Y. Discrete singular convolution and its application to the analysis of plates with internal supports. I. Theory and algorithm. International Journal for Numerical Methods in Engineering 2002; 55:913-946.
-
(2002)
International Journal for Numerical Methods in Engineering
, vol.55
, pp. 913-946
-
-
Wei, G.W.1
Zhao, Y.B.2
Xiang, Y.3
-
28
-
-
0038678165
-
Local spectral time-domain method for electromagnetic wave propagation
-
Bao G, Wei GW, Zhao S. Local spectral time-domain method for electromagnetic wave propagation. Optics Letters 2003; 28:513-515.
-
(2003)
Optics Letters
, vol.28
, pp. 513-515
-
-
Bao, G.1
Wei, G.W.2
Zhao, S.3
-
30
-
-
1842616207
-
Comparison of the discrete singular convolution and three other numerical schemes for solving Fisher's equation
-
Zhao S, Wei GW. Comparison of the discrete singular convolution and three other numerical schemes for solving Fisher's equation. SIAM Journal on Scientific Computing 2003; 25:127-147.
-
(2003)
SIAM Journal on Scientific Computing
, vol.25
, pp. 127-147
-
-
Zhao, S.1
Wei, G.W.2
-
33
-
-
34548768185
-
On the spurious solutions in the high order finite difference methods
-
Zhao S. On the spurious solutions in the high order finite difference methods. Computer Methods in Applied Mechanics and Engineering 2007; 196:5031-5046.
-
(2007)
Computer Methods in Applied Mechanics and Engineering
, vol.196
, pp. 5031-5046
-
-
Zhao, S.1
-
34
-
-
4544354197
-
High order FDTD methods via derivative matching for Maxwell's equations with material interfaces
-
Zhao S, Wei GW. High order FDTD methods via derivative matching for Maxwell's equations with material interfaces. Journal of Computational Physics 2004; 200:60-103.
-
(2004)
Journal of Computational Physics
, vol.200
, pp. 60-103
-
-
Zhao, S.1
Wei, G.W.2
-
35
-
-
4544333736
-
Tensor product derivative matching for wave propagation in inhomogeneous media
-
Zhao S, Wei GW. Tensor product derivative matching for wave propagation in inhomogeneous media. Microwave and Optical Technology Letters 2004; 43:69-77.
-
(2004)
Microwave and Optical Technology Letters
, vol.43
, pp. 69-77
-
-
Zhao, S.1
Wei, G.W.2
-
36
-
-
31744448526
-
High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
-
Zhou YC, Zhao S, Feig M, Wei GW. High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources. Journal of Computational Physics 2006; 213:1-30.
-
(2006)
Journal of Computational Physics
, vol.213
, pp. 1-30
-
-
Zhou, Y.C.1
Zhao, S.2
Feig, M.3
Wei, G.W.4
-
37
-
-
0017424014
-
Numerical analysis of blood flow in heart
-
Peskin CS. Numerical analysis of blood flow in heart. Journal of Computational Physics 1977; 25:220-252.
-
(1977)
Journal of Computational Physics
, vol.25
, pp. 220-252
-
-
Peskin, C.S.1
-
38
-
-
0034775815
-
Immersed interface methods for Neumann and related problems in two and three dimensions
-
Fogelson AL, Keener JP. Immersed interface methods for Neumann and related problems in two and three dimensions. SIAM Journal on Scientific Computing 2000; 22:1630-1654.
-
(2000)
SIAM Journal on Scientific Computing
, vol.22
, pp. 1630-1654
-
-
Fogelson, A.L.1
Keener, J.P.2
-
39
-
-
0028485385
-
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
-
LeVeque RJ, Li ZL. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM Journal on Numerical Analysis 1994; 31:1019-1044.
-
(1994)
SIAM Journal on Numerical Analysis
, vol.31
, pp. 1019-1044
-
-
LeVeque, R.J.1
Li, Z.L.2
-
40
-
-
0346837922
-
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
-
Fedkiw RP, Aslam T, Merriman B, Osher S. A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). Journal of Computational Physics 1999; 152:457-492.
-
(1999)
Journal of Computational Physics
, vol.152
, pp. 457-492
-
-
Fedkiw, R.P.1
Aslam, T.2
Merriman, B.3
Osher, S.4
-
41
-
-
33750356476
-
On the fictitious-domain and interpolation formulations of the matched interface and boundary (MIB) method
-
Zhou YC, Wei GW. On the fictitious-domain and interpolation formulations of the matched interface and boundary (MIB) method. Journal of Computational Physics 2006; 219:228-246.
-
(2006)
Journal of Computational Physics
, vol.219
, pp. 228-246
-
-
Zhou, Y.C.1
Wei, G.W.2
-
43
-
-
0032166374
-
Calculation of weights in finite difference formulas
-
Fornberg B. Calculation of weights in finite difference formulas. SIAM Reviews 1998; 40:685-691.
-
(1998)
SIAM Reviews
, vol.40
, pp. 685-691
-
-
Fornberg, B.1
-
44
-
-
0034647354
-
A unified approach for solving the Fokker-Planck equation
-
Wei GW. A unified approach for solving the Fokker-Planck equation. Journal of Physics A: Mathematical and General 2000; 33:4935-4953.
-
(2000)
Journal of Physics A: Mathematical and General
, vol.33
, pp. 4935-4953
-
-
Wei, G.W.1
-
45
-
-
0036374085
-
A fast algorithm for two-dimensional elliptic problems
-
Badea L, Daripa P. A fast algorithm for two-dimensional elliptic problems. Numerical Algorithms 2002; 30: 199-239.
-
(2002)
Numerical Algorithms
, vol.30
, pp. 199-239
-
-
Badea, L.1
Daripa, P.2
-
47
-
-
0032167141
-
Approximation of boundary conditions for mimetic finite-difference methods
-
Hyman JM, Shashkov M. Approximation of boundary conditions for mimetic finite-difference methods. Computers and Mathematics with Applications 1998; 36:79-99.
-
(1998)
Computers and Mathematics with Applications
, vol.36
, pp. 79-99
-
-
Hyman, J.M.1
Shashkov, M.2
-
50
-
-
0001201384
-
Finite element solution of the Helmholtz equation with high wavenumber Part I: The h-version of the FEM
-
Ihlenburg F, Babuška I. Finite element solution of the Helmholtz equation with high wavenumber Part I: the h-version of the FEM. Computers and Mathematics with Applications 1995; 30:9-37.
-
(1995)
Computers and Mathematics with Applications
, vol.30
, pp. 9-37
-
-
Ihlenburg, F.1
Babuška, I.2
-
51
-
-
0001299857
-
Finite element solution of the Helmholtz equation with high wavenumber Part II: The h-p-version of the FEM
-
Ihlenburg F, Babuška I. Finite element solution of the Helmholtz equation with high wavenumber Part II: the h-p-version of the FEM. SIAM Journal on Numerical Analysis 1997; 34:315-358.
-
(1997)
SIAM Journal on Numerical Analysis
, vol.34
, pp. 315-358
-
-
Ihlenburg, F.1
Babuška, I.2
-
52
-
-
0001186440
-
The theoretical accuracy of Runge-Kutta time discretizations for the initial boundary value problem: A study of the boundary error
-
Carpenter MH, Gottlieb D, Abarbanel S, Don W-S. The theoretical accuracy of Runge-Kutta time discretizations for the initial boundary value problem: a study of the boundary error. SIAM Journal on Scientific Computing 1995; 16:1241-1252.
-
(1995)
SIAM Journal on Scientific Computing
, vol.16
, pp. 1241-1252
-
-
Carpenter, M.H.1
Gottlieb, D.2
Abarbanel, S.3
Don, W.-S.4
-
53
-
-
0035273564
-
Strong stability-preserving high order time discretization methods
-
Gottlieb S, Shu CW, Tadmor E. Strong stability-preserving high order time discretization methods. SIAM Reviews 2001; 43:89-112.
-
(2001)
SIAM Reviews
, vol.43
, pp. 89-112
-
-
Gottlieb, S.1
Shu, C.W.2
Tadmor, E.3
-
54
-
-
28844507125
-
On high order strong stability preserving Runge-Kutta and multi step time discretizations
-
Gottlieb S. On high order strong stability preserving Runge-Kutta and multi step time discretizations. Journal of Scientific Computing 2005; 25:105-128.
-
(2005)
Journal of Scientific Computing
, vol.25
, pp. 105-128
-
-
Gottlieb, S.1
-
55
-
-
33745013415
-
Optimal strong-stability-preserving time-stepping schemes with fast downwind spatial discretizations
-
Gottlieb S, Ruuth SJ. Optimal strong-stability-preserving time-stepping schemes with fast downwind spatial discretizations. Journal of Scientific Computing 2006; 27:289-304.
-
(2006)
Journal of Scientific Computing
, vol.27
, pp. 289-304
-
-
Gottlieb, S.1
Ruuth, S.J.2
-
58
-
-
17444422521
-
DSC analysis of free-edged beams by an iteratively matched boundary method
-
Zhao S, Wei GW, Xiang Y. DSC analysis of free-edged beams by an iteratively matched boundary method. Journal of Sound and Vibration 2005; 284:487-493.
-
(2005)
Journal of Sound and Vibration
, vol.284
, pp. 487-493
-
-
Zhao, S.1
Wei, G.W.2
Xiang, Y.3
-
59
-
-
0034314409
-
Application of generalized differential quadrature rule to sixth-order differential equations
-
Wu TY, Liu GR. Application of generalized differential quadrature rule to sixth-order differential equations. Communications in Numerical Methods in Engineering 2000; 16:777-784.
-
(2000)
Communications in Numerical Methods in Engineering
, vol.16
, pp. 777-784
-
-
Wu, T.Y.1
Liu, G.R.2
-
60
-
-
0036682074
-
Differential quadrature solutions of eighth-order boundary-value differential equations
-
Liu GR, Wu TY. Differential quadrature solutions of eighth-order boundary-value differential equations. Journal of Computational and Applied Mathematics 2002; 145:223-235.
-
(2002)
Journal of Computational and Applied Mathematics
, vol.145
, pp. 223-235
-
-
Liu, G.R.1
Wu, T.Y.2
-
62
-
-
0037145689
-
Discrete singular convolution and its application to the analysis of plates with internal supports. II. Complex supports
-
Xiang Y, Zhao YB, Wei GW. Discrete singular convolution and its application to the analysis of plates with internal supports. II. Complex supports. International Journal for Numerical Methods in Engineering 2002; 55:947-971.
-
(2002)
International Journal for Numerical Methods in Engineering
, vol.55
, pp. 947-971
-
-
Xiang, Y.1
Zhao, Y.B.2
Wei, G.W.3
-
63
-
-
0037383937
-
On the regularized Whittaker-Kotel'nikov-Shannon sampling formula
-
Qian LW. On the regularized Whittaker-Kotel'nikov-Shannon sampling formula. Proceedings of the American Mathematical Society 2003; 131:1169-1176.
-
(2003)
Proceedings of the American Mathematical Society
, vol.131
, pp. 1169-1176
-
-
Qian, L.W.1
|