North, Evan; Tsynkov, Semyon; Turkel, Eli Non-iterative domain decomposition for the Helmholtz equation with strong material discontinuities. (English) Zbl 1484.35163 Appl. Numer. Math. 173, 51-78 (2022). MSC: 35J05 65N55 65N06 65N30 PDFBibTeX XMLCite \textit{E. North} et al., Appl. Numer. Math. 173, 51--78 (2022; Zbl 1484.35163) Full Text: DOI arXiv
Hu, Yunxia; Li, Hongwei; Jiang, Ziwen Efficient semi-implicit compact finite difference scheme for nonlinear Schrödinger equations on unbounded domain. (English) Zbl 1436.65103 Appl. Numer. Math. 153, 319-343 (2020). MSC: 65M06 35Q41 35Q55 PDFBibTeX XMLCite \textit{Y. Hu} et al., Appl. Numer. Math. 153, 319--343 (2020; Zbl 1436.65103) Full Text: DOI
Porta, Federica; Cornelio, Anastasia; Ruggiero, Valeria Runge-Kutta-like scaling techniques for first-order methods in convex optimization. (English) Zbl 1372.65181 Appl. Numer. Math. 116, 256-272 (2017). MSC: 65K05 90C25 65L06 PDFBibTeX XMLCite \textit{F. Porta} et al., Appl. Numer. Math. 116, 256--272 (2017; Zbl 1372.65181) Full Text: DOI
Cirillo, Emiliano; Hormann, Kai; Sidon, Jean Convergence rates of derivatives of Floater-Hormann interpolants for well-spaced nodes. (English) Zbl 1372.65031 Appl. Numer. Math. 116, 108-118 (2017). MSC: 65D05 41A05 41A20 PDFBibTeX XMLCite \textit{E. Cirillo} et al., Appl. Numer. Math. 116, 108--118 (2017; Zbl 1372.65031) Full Text: DOI
Magura, S.; Petropavlovsky, S.; Tsynkov, S.; Turkel, E. High-order numerical solution of the Helmholtz equation for domains with reentrant corners. (English) Zbl 1367.65155 Appl. Numer. Math. 118, 87-116 (2017). MSC: 65N20 35J05 PDFBibTeX XMLCite \textit{S. Magura} et al., Appl. Numer. Math. 118, 87--116 (2017; Zbl 1367.65155) Full Text: DOI
Albright, Jason; Epshteyn, Yekaterina; Medvinsky, Michael; Xia, Qing High-order numerical schemes based on difference potentials for 2D elliptic problems with material interfaces. (English) Zbl 1353.65110 Appl. Numer. Math. 111, 64-91 (2017). MSC: 65N06 35J25 65Y05 PDFBibTeX XMLCite \textit{J. Albright} et al., Appl. Numer. Math. 111, 64--91 (2017; Zbl 1353.65110) Full Text: DOI
Hubenthal, M.; Onofrei, D. Sensitivity analysis for active control of the Helmholtz equation. (English) Zbl 1382.65364 Appl. Numer. Math. 106, 1-23 (2016). MSC: 65N21 35J05 49K40 PDFBibTeX XMLCite \textit{M. Hubenthal} and \textit{D. Onofrei}, Appl. Numer. Math. 106, 1--23 (2016; Zbl 1382.65364) Full Text: DOI arXiv
Zlotnik, A.; Romanova, A. On a Numerov-Crank-Nicolson-Strang scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip. (English) Zbl 1326.65112 Appl. Numer. Math. 93, 279-294 (2015). MSC: 65M06 65J08 65M12 PDFBibTeX XMLCite \textit{A. Zlotnik} and \textit{A. Romanova}, Appl. Numer. Math. 93, 279--294 (2015; Zbl 1326.65112) Full Text: DOI arXiv
Ryaben’kii, V. S.; Utyuzhnikov, S. V. An algorithm of the method of difference potentials for domains with cuts. (English) Zbl 1326.65144 Appl. Numer. Math. 93, 254-261 (2015). MSC: 65N06 74S20 74R10 PDFBibTeX XMLCite \textit{V. S. Ryaben'kii} and \textit{S. V. Utyuzhnikov}, Appl. Numer. Math. 93, 254--261 (2015; Zbl 1326.65144) Full Text: DOI
Ntumy, Emmanuel A.; Utyuzhnikov, Sergey V. Active sound control in composite regions. (English) Zbl 1326.76080 Appl. Numer. Math. 93, 242-253 (2015). MSC: 76M20 65N06 76Q05 PDFBibTeX XMLCite \textit{E. A. Ntumy} and \textit{S. V. Utyuzhnikov}, Appl. Numer. Math. 93, 242--253 (2015; Zbl 1326.76080) Full Text: DOI
Britt, S.; Petropavlovsky, S.; Tsynkov, S.; Turkel, E. Computation of singular solutions to the Helmholtz equation with high order accuracy. (English) Zbl 1326.65141 Appl. Numer. Math. 93, 215-241 (2015). MSC: 65N06 65N12 35J05 PDFBibTeX XMLCite \textit{S. Britt} et al., Appl. Numer. Math. 93, 215--241 (2015; Zbl 1326.65141) Full Text: DOI
Sofronov, I. L.; Dovgilovich, L.; Krasnov, N. Application of transparent boundary conditions to high-order finite-difference schemes for the wave equation in waveguides. (English) Zbl 1312.78010 Appl. Numer. Math. 93, 195-205 (2015). MSC: 78M20 78A50 PDFBibTeX XMLCite \textit{I. L. Sofronov} et al., Appl. Numer. Math. 93, 195--205 (2015; Zbl 1312.78010) Full Text: DOI
Dovgilovich, Leonid; Sofronov, Ivan High-accuracy finite-difference schemes for solving elastodynamic problems in curvilinear coordinates within multiblock approach. (English) Zbl 1325.74157 Appl. Numer. Math. 93, 176-194 (2015). MSC: 74S10 65M06 74J05 PDFBibTeX XMLCite \textit{L. Dovgilovich} and \textit{I. Sofronov}, Appl. Numer. Math. 93, 176--194 (2015; Zbl 1325.74157) Full Text: DOI arXiv
Gulin, A. Stability criteria for non-self-adjoint finite differences schemes in the subspace. (English) Zbl 1326.65106 Appl. Numer. Math. 93, 107-113 (2015). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{A. Gulin}, Appl. Numer. Math. 93, 107--113 (2015; Zbl 1326.65106) Full Text: DOI
Albright, Jason; Epshteyn, Yekaterina; Steffen, Kyle R. High-order accurate difference potentials methods for parabolic problems. (English) Zbl 1326.65103 Appl. Numer. Math. 93, 87-106 (2015). MSC: 65M06 65M12 65Y05 PDFBibTeX XMLCite \textit{J. Albright} et al., Appl. Numer. Math. 93, 87--106 (2015; Zbl 1326.65103) Full Text: DOI Link
Epshteyn, Yekaterina; Phippen, Spencer High-order difference potentials methods for 1D elliptic type models. (English) Zbl 1326.65142 Appl. Numer. Math. 93, 69-86 (2015). MSC: 65N06 65Y05 PDFBibTeX XMLCite \textit{Y. Epshteyn} and \textit{S. Phippen}, Appl. Numer. Math. 93, 69--86 (2015; Zbl 1326.65142) Full Text: DOI
Sousa, Ercília On the edge of stability analysis. (English) Zbl 1166.65045 Appl. Numer. Math. 59, No. 6, 1322-1336 (2009). Reviewer: Fernando Casas (Castellon) MSC: 65M12 35F25 65M06 PDFBibTeX XMLCite \textit{E. Sousa}, Appl. Numer. Math. 59, No. 6, 1322--1336 (2009; Zbl 1166.65045) Full Text: DOI
Utyuzhnikov, S. V. Robin-type wall functions and their numerical implementation. (English) Zbl 1151.76503 Appl. Numer. Math. 58, No. 10, 1521-1533 (2008). MSC: 76F10 76M12 PDFBibTeX XMLCite \textit{S. V. Utyuzhnikov}, Appl. Numer. Math. 58, No. 10, 1521--1533 (2008; Zbl 1151.76503) Full Text: DOI
Ryaben’kii, V. S.; Utyuzhnikov, S. V. Differential and finite-difference problems of active shielding. (English) Zbl 1370.76163 Appl. Numer. Math. 57, No. 4, 374-382 (2007). MSC: 76Q05 76M20 PDFBibTeX XMLCite \textit{V. S. Ryaben'kii} and \textit{S. V. Utyuzhnikov}, Appl. Numer. Math. 57, No. 4, 374--382 (2007; Zbl 1370.76163) Full Text: DOI
Lončarić, J.; Tsynkov, S. V. Quadratic optimization in the problems of active control of sound. (English) Zbl 1142.93334 Appl. Numer. Math. 52, No. 4, 381-400 (2005). MSC: 93B50 49M30 76N25 76Q05 PDFBibTeX XMLCite \textit{J. Lončarić} and \textit{S. V. Tsynkov}, Appl. Numer. Math. 52, No. 4, 381--400 (2005; Zbl 1142.93334) Full Text: DOI Link
Sousa, Ercília; Sobey, Ian On the influence of numerical boundary conditions. (English) Zbl 0996.65082 Appl. Numer. Math. 41, No. 2, 325-344 (2002). MSC: 65M06 65M12 35K15 PDFBibTeX XMLCite \textit{E. Sousa} and \textit{I. Sobey}, Appl. Numer. Math. 41, No. 2, 325--344 (2002; Zbl 0996.65082) Full Text: DOI
Ryaben’kii, V. S.; Tsynkov, S. V.; Turchaninov, V. I. Long-time numerical computation of wave-type solutions driven by moving sources. (English) Zbl 0987.65080 Appl. Numer. Math. 38, No. 1-2, 187-222 (2001). Reviewer: Erwin Schechter (Kaiserslautern) MSC: 65M06 65M12 35L05 PDFBibTeX XMLCite \textit{V. S. Ryaben'kii} et al., Appl. Numer. Math. 38, No. 1--2, 187--222 (2001; Zbl 0987.65080) Full Text: DOI
Tsynkov, Semyon V. Numerical solution of problems on unbounded domains. A review. (English) Zbl 0939.76077 Appl. Numer. Math. 27, No. 4, 465-532 (1998). MSC: 76M25 76-02 65-02 74S30 PDFBibTeX XMLCite \textit{S. V. Tsynkov}, Appl. Numer. Math. 27, No. 4, 465--532 (1998; Zbl 0939.76077) Full Text: DOI
Ryaben’kii, V. S.; Tsynkov, S. V. An effective numerical technique for solving a special class of ordinary difference equations. (English) Zbl 0838.65128 Appl. Numer. Math. 18, No. 4, 489-501 (1995). Reviewer: G.Walz (Mannheim) MSC: 65Q05 39A10 PDFBibTeX XMLCite \textit{V. S. Ryaben'kii} and \textit{S. V. Tsynkov}, Appl. Numer. Math. 18, No. 4, 489--501 (1995; Zbl 0838.65128) Full Text: DOI
Lopez, L.; Trigiante, D. Boundary value methods and BV-stability in the solution of initial value problems. (English) Zbl 0789.65054 Appl. Numer. Math. 11, No. 1-3, 225-239 (1993). Reviewer: C.Simerská (Praha) MSC: 65L05 65L20 34E13 34A34 PDFBibTeX XMLCite \textit{L. Lopez} and \textit{D. Trigiante}, Appl. Numer. Math. 11, No. 1--3, 225--239 (1993; Zbl 0789.65054) Full Text: DOI