Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Yogi A. Erlangga"'
Publikováno v:
Special Matrices, Vol 10, Iss 1, Pp 67-86 (2021)
This paper presents the explicit inverse of a class of seven-diagonal (near) Toeplitz matrices, which arises in the numerical solutions of nonlinear fourth-order differential equation with a finite difference method. A non-recurrence explicit inverse
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e44b00de2892d7c61678bb105059b4a
https://doi.org/10.1515/spma-2021-0148
https://doi.org/10.1515/spma-2021-0148
Autor:
Carlos M. da Fonseca, Yogi A. Erlangga, António B. Pereira, Yerlan Amanbek, Zhibin Du, Bakytzhan Kurmanbek
Publikováno v:
Open Mathematics, Vol 18, Iss 1, Pp 1227-1229 (2020)
In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8a292532a1aabc4cadc019d3d0e4020
https://doi.org/10.1515/math-2020-0100
https://doi.org/10.1515/math-2020-0100
We present a proof of determinant of special nonsymmetric Toeplitz matrices conjectured by An��eli�� and Fonseca in \cite{andjelic2020some}. A proof is also demonstrated for a more general theorem. The two conjectures are therefore just two p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::866ada9bb1c6beb0a2d82cd528ce9d44
Publikováno v:
Results in Applied Mathematics, Vol 11, Iss, Pp 100164-(2021)
This paper analyzes the inverse of near Toeplitz pentadiagonal matrices, arising from a finite-difference approximation to the fourth-order nonlinear beam equation. Explicit non-recursive inverse matrix formulas and bounds of norms of the inverse mat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d03965ffd2c71ea0e265ed1c49c9804f
https://doi.org/10.1016/j.rinam.2021.100164
https://doi.org/10.1016/j.rinam.2021.100164
Publikováno v:
Modern Solvers for Helmholtz Problems ISBN: 9783319288314
This chapter discusses a multilevel Krylov method (MK-method) for solving the Helmholtz equation preconditioned by the shifted Laplacian preconditioner, resulting in the so-called multilevel Krylov-multigrid (MKMG) method. This method was first prese
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b16265a44e8775c7ddbee10e11d669a9
https://doi.org/10.1007/978-3-319-28832-1_5
https://doi.org/10.1007/978-3-319-28832-1_5
Autor:
Eli Turkel, Yogi A. Erlangga
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 46:647-660
We consider high order finite difference approximations to the Helmholtz equation in an exterior domain. We include a simplified absorbing boundary condition to approximate the Sommerfeld radiation condition. This yields a large, but sparse, complex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4527b46025ba5687b18b755bd40c3461
https://doi.org/10.1051/m2an/2011063
https://doi.org/10.1051/m2an/2011063
Publikováno v:
GEOPHYSICS. 74:A41-A46
The extremely large size of typical seismic imaging problems has been a major stumbling block for iterative techniques to attain accurate migration amplitudes. These iterative methods are important because they complement theoretical approaches hampe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8b7ce956d992839912ff7ed804b3540
https://doi.org/10.1190/1.3124753
https://doi.org/10.1190/1.3124753
Publikováno v:
GEOPHYSICS. 74:A35-A40
The fact that the computational complexity of wavefield simulation is proportional to the size of the discretized model and acquisition geometry and not to the complexity of the simulated wavefield is a major impediment within seismic imaging. By tur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6fd7a09a0b818bb59c107cbd963c61e
https://doi.org/10.1190/1.3115122
https://doi.org/10.1190/1.3115122
Publikováno v:
Journal of Scientific Computing, 39 (3), 2009
For various applications, it is well-known that a multi-level, in particular two-level, preconditioned CG (PCG) method is an efficient method for solving large and sparse linear systems with a coefficient matrix that is symmetric positive definite. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b170e0846259d6472f5753471ae92d9e
https://doi.org/10.1007/s10915-009-9272-6
https://doi.org/10.1007/s10915-009-9272-6
Autor:
Yogi A. Erlangga, Reinhard Nabben
Publikováno v:
SIAM Journal on Scientific Computing. 31:3417-3437
In [Erlangga and Nabben, SIAM J. Sci. Comput., 30 (2008), pp. 1572–1595], we developed a new type of multilevel method, called the multilevel Krylov (MK) method, to solve linear systems of equations. The basic idea of this type of method is to shif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1179cf40acc81845e0b21ac23fbc859
https://doi.org/10.1137/080731657
https://doi.org/10.1137/080731657