Lagunero, Reymart Salcedo; Fellner, Klemens; Apel, Thomas; Kempf, Volker; Zilk, Philipp Lipolysis on Lipid Droplets: Mathematical Modelling and Numerical Discretisation. arXiv:2401.17935 Preprint, arXiv:2401.17935 [math.AP] (2024). MSC: 35E20 35K57 65N30 92C40 92C45 BibTeX Cite \textit{R. S. Lagunero} et al., ``Lipolysis on Lipid Droplets: Mathematical Modelling and Numerical Discretisation'', Preprint, arXiv:2401.17935 [math.AP] (2024) Full Text: arXiv OA License
Sobhani, Amirhossein; Milev, Mariyan A numerical method for pricing discrete double barrier option by Lagrange interpolation on Jacobi nodes. (English) Zbl 07782151 Math. Methods Appl. Sci. 46, No. 5, 6042-6053 (2023). MSC: 65D15 35E15 46A32 PDFBibTeX XMLCite \textit{A. Sobhani} and \textit{M. Milev}, Math. Methods Appl. Sci. 46, No. 5, 6042--6053 (2023; Zbl 07782151) Full Text: DOI arXiv
da Silva, Roberto; Tomé, Tânia; de Oliveira, Mário J. Numerical exploration of the aging effects in spin systems. (English) Zbl 07763991 Phys. Lett., A 489, Article ID 129148, 8 p. (2023). MSC: 81P68 26E70 65C05 15B52 82D40 35E15 47D06 PDFBibTeX XMLCite \textit{R. da Silva} et al., Phys. Lett., A 489, Article ID 129148, 8 p. (2023; Zbl 07763991) Full Text: DOI arXiv
Karasev, A. Yu.; Teretenkov, A. E. Time-convolutionless master equations for composite open quantum systems. (English) Zbl 07749564 Lobachevskii J. Math. 44, No. 6, 2051-2064 (2023). MSC: 81S22 81V45 35B20 41A58 65B05 37E20 35E15 PDFBibTeX XMLCite \textit{A. Yu. Karasev} and \textit{A. E. Teretenkov}, Lobachevskii J. Math. 44, No. 6, 2051--2064 (2023; Zbl 07749564) Full Text: DOI arXiv
Arouna, Traore G. Y. When is the sum of two \(J\)-symplectic matrices \(J\)-symplectic? (English) Zbl 07727274 Int. J. Numer. Methods Appl. 23, No. 2, 197-199 (2023). MSC: 15Bxx 35E05 65F10 65F15 70H05 93D20 PDFBibTeX XMLCite \textit{T. G. Y. Arouna}, Int. J. Numer. Methods Appl. 23, No. 2, 197--199 (2023; Zbl 07727274) Full Text: DOI
Arouna, Traoré G. Y.; Inkpé, Haudié Jean Stéphane On the properties of a kind of random matrices. (English) Zbl 07727219 Far East J. Dyn. Syst. 36, No. 1, 93-104 (2023). MSC: 15-XX 35E05 65F10 65F15 70H05 93D20 PDFBibTeX XMLCite \textit{T. G. Y. Arouna} and \textit{H. J. S. Inkpé}, Far East J. Dyn. Syst. 36, No. 1, 93--104 (2023; Zbl 07727219) Full Text: DOI
Ramos, A. J. A.; Campelo, A. D. S.; Almeida Júnior, D. S.; Freitas, M. M.; Barbosa, R. C. Numerical exponential decay of thermoelastic waves connected in parallel. (English) Zbl 07709688 Adv. Comput. Math. 49, No. 3, Paper No. 29, 34 p. (2023). MSC: 65-XX 35E15 65M06 93D22 PDFBibTeX XMLCite \textit{A. J. A. Ramos} et al., Adv. Comput. Math. 49, No. 3, Paper No. 29, 34 p. (2023; Zbl 07709688) Full Text: DOI
Basir, Shamsulhaq Investigating and mitigating failure modes in physics-informed neural networks (PINNs). (English) Zbl 1514.65146 Commun. Comput. Phys. 33, No. 5, 1240-1269 (2023). MSC: 65M99 35E05 35E15 68T07 90C30 90C47 90C90 PDFBibTeX XMLCite \textit{S. Basir}, Commun. Comput. Phys. 33, No. 5, 1240--1269 (2023; Zbl 1514.65146) Full Text: DOI arXiv
Lei, Weidong; Ahsan, Muhammad; Khan, Waqas; Uddin, Zaheer; Ahmad, Masood A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation. (English) Zbl 07690112 Demonstr. Math. 56, Article ID 20220203, 22 p. (2023). MSC: 65-XX 35Exx 65Mxx 65Nxx 00A69 65T60 35-XX 65H05 35C08 PDFBibTeX XMLCite \textit{W. Lei} et al., Demonstr. Math. 56, Article ID 20220203, 22 p. (2023; Zbl 07690112) Full Text: DOI
Ozer, Ahmet Ozkan; Khalilullah, Ibrahim; Rasaq, Uthman The Exponential Stabilization of a Heat and Piezoelectric Beam Interaction with Static or Hybrid Feedback Controllers. arXiv:2311.05306 Preprint, arXiv:2311.05306 [math.OC] (2023). MSC: 74S10 74S20 78-10 93D15 65M06 35E15 BibTeX Cite \textit{A. O. Ozer} et al., ``The Exponential Stabilization of a Heat and Piezoelectric Beam Interaction with Static or Hybrid Feedback Controllers'', Preprint, arXiv:2311.05306 [math.OC] (2023) Full Text: arXiv OA License
Dragunova, K. A.; Garashenkova, A. A.; Nikbakht, N.; Remizov, I. D. Numerical study of the rate of convergence of Chernoff approximations to solutions of the heat equation with full list of illustrations and Python source code. arXiv:2301.05284 Preprint, arXiv:2301.05284 [math.NA] (2023). MSC: 65M12 47D06 35K05 35E15 35C99 BibTeX Cite \textit{K. A. Dragunova} et al., ``Numerical study of the rate of convergence of Chernoff approximations to solutions of the heat equation with full list of illustrations and Python source code'', Preprint, arXiv:2301.05284 [math.NA] (2023) Full Text: arXiv OA License
Gökçe, Aytül A mathematical model of population dynamics revisited with fear factor, maturation delay, and spatial coefficients. (English) Zbl 07812802 Math. Methods Appl. Sci. 45, No. 17, 11828-11848 (2022). MSC: 35Exx 35B35 65P30 37G15 PDFBibTeX XMLCite \textit{A. Gökçe}, Math. Methods Appl. Sci. 45, No. 17, 11828--11848 (2022; Zbl 07812802) Full Text: DOI
Hoang Thi Kieu Anh Compact difference schemes for the multidimensional hyperbolic-parabolic equation. (Russian. English summary) Zbl 07808454 Vestsi Nats. Akad. Navuk Belarusi, Ser. Fiz.-Mat. Navuk 58, No. 4, 370-380 (2022). MSC: 65M06 65N06 35E15 35B35 35B45 35K10 35L10 35Qxx PDFBibTeX XMLCite \textit{Hoang Thi Kieu Anh}, Vestsi Nats. Akad. Navuk Belarusi, Ser. Fiz.-Mat. Navuk 58, No. 4, 370--380 (2022; Zbl 07808454) Full Text: Link
Liu, Shuainan; Fu, Zhuojia; Gu, Yan Domain-decomposition localized method of fundamental solutions for large-scale heat conduction in anisotropic layered materials. (English) Zbl 1499.65722 Adv. Appl. Math. Mech. 14, No. 3, 759-776 (2022). MSC: 65N80 35E05 65N55 80A19 35K05 PDFBibTeX XMLCite \textit{S. Liu} et al., Adv. Appl. Math. Mech. 14, No. 3, 759--776 (2022; Zbl 1499.65722) Full Text: DOI
Bello-Cruz, J. Y.; Bouza Allende, G. On inexact projected gradient methods for solving variable vector optimization problems. (English) Zbl 1485.90122 Optim. Eng. 23, No. 1, 201-232 (2022). MSC: 90C29 90C52 65K05 35E10 PDFBibTeX XMLCite \textit{J. Y. Bello-Cruz} and \textit{G. Bouza Allende}, Optim. Eng. 23, No. 1, 201--232 (2022; Zbl 1485.90122) Full Text: DOI
Barsukow, Wasilij; Klingenberg, Christian Exact solution and the multidimensional Godunov scheme for the acoustic equations. (English) Zbl 1508.35057 ESAIM, Math. Model. Numer. Anal. 56, No. 1, 317-347 (2022). MSC: 35Q35 35Q31 76Q05 76N10 35B08 35B44 35C05 35E05 35E15 35F40 35L03 65M08 PDFBibTeX XMLCite \textit{W. Barsukow} and \textit{C. Klingenberg}, ESAIM, Math. Model. Numer. Anal. 56, No. 1, 317--347 (2022; Zbl 1508.35057) Full Text: DOI arXiv
Ivaz, Karim; Asadpour, Fazlallahi Mohammad Solving free boundary problem for an initial cell layer in multispecies biofilm formation by Newton-Raphson method. (English) Zbl 1499.65748 Comput. Methods Differ. Equ. 9, No. 3, 899-907 (2021). MSC: 65R20 35Q92 35E99 92B05 PDFBibTeX XMLCite \textit{K. Ivaz} and \textit{F. M. Asadpour}, Comput. Methods Differ. Equ. 9, No. 3, 899--907 (2021; Zbl 1499.65748) Full Text: DOI
Shanazari, Kamal; Mohammadi, Nasrin An overlapping domain decomposition Schwarz method applied to the method of fundamental solution. (English) Zbl 1499.65723 Comput. Appl. Math. 40, No. 8, Paper No. 295, 16 p. (2021). MSC: 65N80 35E05 65N55 PDFBibTeX XMLCite \textit{K. Shanazari} and \textit{N. Mohammadi}, Comput. Appl. Math. 40, No. 8, Paper No. 295, 16 p. (2021; Zbl 1499.65723) Full Text: DOI
Xu, Hao; Chang, Haibin; Zhang, Dongxiao DL-PDE: deep-learning based data-driven discovery of partial differential equations from discrete and noisy data. (English) Zbl 1528.65093 Commun. Comput. Phys. 29, No. 3, 698-728 (2021). MSC: 65M99 35E99 68T07 62F15 62J07 35Q53 PDFBibTeX XMLCite \textit{H. Xu} et al., Commun. Comput. Phys. 29, No. 3, 698--728 (2021; Zbl 1528.65093) Full Text: DOI arXiv
Muzychuk, A. O. The Laguerre transform of a convolution product of vector-valued functions. (English) Zbl 1482.44011 Mat. Stud. 55, No. 2, 146-161 (2021). MSC: 44A35 35C15 35E15 35L05 35L20 44A10 65M38 PDFBibTeX XMLCite \textit{A. O. Muzychuk}, Mat. Stud. 55, No. 2, 146--161 (2021; Zbl 1482.44011) Full Text: DOI
Li, Qiaoyang; Cheng, Taixia The uniqueness representation of normal curvature of parametric surface. (English) Zbl 1499.53006 Adv. Appl. Discrete Math. 25, No. 1, 113-120 (2020). MSC: 53A04 53A05 65D17 65D18 35E15 49M15 PDFBibTeX XMLCite \textit{Q. Li} and \textit{T. Cheng}, Adv. Appl. Discrete Math. 25, No. 1, 113--120 (2020; Zbl 1499.53006) Full Text: DOI
Jagtap, Ameya D.; Karniadakis, George Em Extended physics-informed neural networks (XPINNs): a generalized space-time domain decomposition based deep learning framework for nonlinear partial differential equations. (English) Zbl 07419158 Commun. Comput. Phys. 28, No. 5, 2002-2041 (2020). MSC: 65N55 65M55 65N21 35E05 35E15 76L05 74B05 68T07 68Q32 35J05 35Q35 PDFBibTeX XMLCite \textit{A. D. Jagtap} and \textit{G. E. Karniadakis}, Commun. Comput. Phys. 28, No. 5, 2002--2041 (2020; Zbl 07419158) Full Text: DOI
Pirmohabbati, P.; Refahi Sheikhani, A. H.; Ziabari, A. Abdolahzadeh Numerical solution of nonlinear fractional Bratu equation with hybrid method. (English) Zbl 1469.65121 Int. J. Appl. Comput. Math. 6, No. 6, Paper No. 162, 22 p. (2020). MSC: 65L05 34A08 35E15 PDFBibTeX XMLCite \textit{P. Pirmohabbati} et al., Int. J. Appl. Comput. Math. 6, No. 6, Paper No. 162, 22 p. (2020; Zbl 1469.65121) Full Text: DOI
Rabier, Patrick J. The generic dimension of spaces of \(\mathbf{A} \)-harmonic polynomials. (English) Zbl 1435.35120 Publ. Mat., Barc. 64, No. 1, 157-182 (2020). MSC: 35E20 35G05 15A06 65L12 PDFBibTeX XMLCite \textit{P. J. Rabier}, Publ. Mat., Barc. 64, No. 1, 157--182 (2020; Zbl 1435.35120) Full Text: DOI Euclid
Yakhno, V. Derivation of a solution of dynamic equations of motion for quasicrystals. (English) Zbl 1437.35658 J. Eng. Math. 118, 63-72 (2019). MSC: 35Q74 35E15 35C15 74E15 65T50 PDFBibTeX XMLCite \textit{V. Yakhno}, J. Eng. Math. 118, 63--72 (2019; Zbl 1437.35658) Full Text: DOI
He, Wen-ming The local ultraconvergence of high-order finite element method for second-order elliptic problems with constant coefficients over a rectangular partition. (English) Zbl 1431.65215 Numer. Methods Partial Differ. Equations 35, No. 6, 2044-2055 (2019). MSC: 65N30 35J15 65N12 35E99 PDFBibTeX XMLCite \textit{W.-m. He}, Numer. Methods Partial Differ. Equations 35, No. 6, 2044--2055 (2019; Zbl 1431.65215) Full Text: DOI
Medvedeva, Marina A.; Simos, T. E. An accomplished phase FD process for DEs in chemistry. (English) Zbl 1429.81028 J. Math. Chem. 57, No. 10, 2208-2228 (2019). MSC: 81Q05 65L05 81V55 35E15 PDFBibTeX XMLCite \textit{M. A. Medvedeva} and \textit{T. E. Simos}, J. Math. Chem. 57, No. 10, 2208--2228 (2019; Zbl 1429.81028) Full Text: DOI
Pauly, Dirk On the Maxwell and Friedrichs/Poincaré constants in ND. (English) Zbl 1426.35007 Math. Z. 293, No. 3-4, 957-987 (2019). MSC: 35A23 35Q61 35E10 35F15 35R45 46E40 53A45 35Q30 76D07 35J20 46E35 65N30 PDFBibTeX XMLCite \textit{D. Pauly}, Math. Z. 293, No. 3--4, 957--987 (2019; Zbl 1426.35007) Full Text: DOI arXiv
Ray, Santanu Saha A new numerical approach for single rational soliton solution of Chen-Lee-Liu equation with Riesz fractional derivative in optical fibers. (English) Zbl 1472.65130 Math. Methods Appl. Sci. 42, No. 1, 99-114 (2019). Reviewer: Weizhong Dai (Ruston) MSC: 65M70 65M06 35R11 78A60 35Q55 26A33 35E15 PDFBibTeX XMLCite \textit{S. S. Ray}, Math. Methods Appl. Sci. 42, No. 1, 99--114 (2019; Zbl 1472.65130) Full Text: DOI
Rybalko, Yan Initial value problem for the time-dependent linear Schrödinger equation with a point singular potential by the unified transform method. (English) Zbl 1406.35316 Opusc. Math. 38, No. 6, 883-898 (2018). MSC: 35Q41 35E15 37K10 65R10 35A22 PDFBibTeX XMLCite \textit{Y. Rybalko}, Opusc. Math. 38, No. 6, 883--898 (2018; Zbl 1406.35316) Full Text: DOI arXiv
Bretin, Elie; Mekkaoui, Imen; Pousin, Jérôme Assessment of the effect of tissue motion in diffusion MRI: derivation of new apparent diffusion coefficient formula. (English) Zbl 1395.74089 Inverse Probl. Imaging 12, No. 1, 125-152 (2018). MSC: 74S30 74L15 92C55 35Q92 35K57 35E10 65M60 PDFBibTeX XMLCite \textit{E. Bretin} et al., Inverse Probl. Imaging 12, No. 1, 125--152 (2018; Zbl 1395.74089) Full Text: DOI
Ke, Ziwie; Goard, Joanna; Zhu, Song-Ping An appropriate approach to pricing European-style options with the Adomian decomposition method. (English) Zbl 1387.35582 ANZIAM J. 59, No. 3, 349-369 (2018). MSC: 35Q91 35E15 91G60 91G20 91B24 65M99 65D20 PDFBibTeX XMLCite \textit{Z. Ke} et al., ANZIAM J. 59, No. 3, 349--369 (2018; Zbl 1387.35582) Full Text: DOI
Liang, Juan; Hou, Linke; Wu, Zhinan The analytical expressions for computing the minimum distance between a point and an elliptical torus. (English) Zbl 1373.35087 Adv. Appl. Discrete Math. 18, No. 2, 133-156 (2017). MSC: 35E15 49M15 53A04 53A05 65D17 65D18 PDFBibTeX XMLCite \textit{J. Liang} et al., Adv. Appl. Discrete Math. 18, No. 2, 133--156 (2017; Zbl 1373.35087) Full Text: DOI
Shidfar, A.; Darooghehgimofrad, Z. A numerical algorithm based on RBFs for solving an inverse source problem. (English) Zbl 1372.65287 Bull. Malays. Math. Sci. Soc. (2) 40, No. 3, 1149-1158 (2017). MSC: 65M80 35K05 35E05 65L09 PDFBibTeX XMLCite \textit{A. Shidfar} and \textit{Z. Darooghehgimofrad}, Bull. Malays. Math. Sci. Soc. (2) 40, No. 3, 1149--1158 (2017; Zbl 1372.65287) Full Text: DOI
Bani-Yaghoub, Majid Approximating the traveling wavefront for a nonlocal delayed reaction-diffusion equation. (English) Zbl 1383.65154 J. Appl. Math. Comput. 53, No. 1-2, 77-94 (2017). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65R20 45K05 35E15 45G10 PDFBibTeX XMLCite \textit{M. Bani-Yaghoub}, J. Appl. Math. Comput. 53, No. 1--2, 77--94 (2017; Zbl 1383.65154) Full Text: DOI
Tohidi, Emran; Khorsand Zak, Mohammad A new matrix approach for solving second-order linear matrix partial differential equations. (English) Zbl 1350.35061 Mediterr. J. Math. 13, No. 3, 1353-1376 (2016). MSC: 35E15 35A35 65D25 65D30 65L20 35R09 PDFBibTeX XMLCite \textit{E. Tohidi} and \textit{M. Khorsand Zak}, Mediterr. J. Math. 13, No. 3, 1353--1376 (2016; Zbl 1350.35061) Full Text: DOI
Damarla, S. K.; Kundu, M. Numerical solution of fractional order differential-algebraic equations using generalized triangular function operational matrices. (English) Zbl 1499.65361 J. Fract. Calc. Appl. 6, No. 2, 31-52 (2015). MSC: 65L80 26A33 42C05 74H15 35E15 PDFBibTeX XMLCite \textit{S. K. Damarla} and \textit{M. Kundu}, J. Fract. Calc. Appl. 6, No. 2, 31--52 (2015; Zbl 1499.65361) Full Text: Link
Javidi, M.; Nyamoradi, N. A spectral collocation method based on Chebyshev polynomials for the generalized Zakharov equation. (English) Zbl 1263.65121 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 19, No. 6, 741-754 (2012). MSC: 65N35 35E15 PDFBibTeX XMLCite \textit{M. Javidi} and \textit{N. Nyamoradi}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 19, No. 6, 741--754 (2012; Zbl 1263.65121) Full Text: Link
Sweilam, N. H.; Khader, M. M.; Mahdy, A. M. S. Numerical studies for solving fractional Riccati differential equations. (English) Zbl 1254.65077 Appl. Appl. Math. 7, No. 2, 595-608 (2012). MSC: 65K10 65G99 35E99 68U20 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., Appl. Appl. Math. 7, No. 2, 595--608 (2012; Zbl 1254.65077) Full Text: Link
Assous, F.; Chaskalovic, J. Data mining methods for performance evaluation to asymptotic numerical models. (English) Zbl 1239.82012 Funct. Differ. Equ. 18, No. 1-2, 29-54 (2011). MSC: 82C21 35E05 35C20 91C20 62H30 65M06 65Y05 35Q61 35Q83 82-08 PDFBibTeX XMLCite \textit{F. Assous} and \textit{J. Chaskalovic}, Funct. Differ. Equ. 18, No. 1--2, 29--54 (2011; Zbl 1239.82012)
Malashonok, Natalia Aleksandrovna A parallel algorithm for analytical solving of partial differential equations systems. (English) Zbl 1219.65128 Albanian J. Math. 4, No. 4, 171-179 (2010). MSC: 65N22 35E15 35A22 44A10 65Y05 68W30 PDFBibTeX XMLCite \textit{N. A. Malashonok}, Albanian J. Math. 4, No. 4, 171--179 (2010; Zbl 1219.65128)
Durán, Mario; Godoy, Eduardo; Nédélec, Jean-Claude Theoretical aspects and numerical computation of the time-harmonic Green’s function for an isotropic elastic half-plane with an impedance boundary condition. (English) Zbl 1194.31002 ESAIM, Math. Model. Numer. Anal. 44, No. 4, 671-692 (2010). MSC: 31A10 35E05 65T50 74B05 74J15 PDFBibTeX XMLCite \textit{M. Durán} et al., ESAIM, Math. Model. Numer. Anal. 44, No. 4, 671--692 (2010; Zbl 1194.31002) Full Text: DOI EuDML
Smyrlis, Yiorgos-Sokratis Applicability and applications of the method of fundamental solutions. (English) Zbl 1198.65237 Math. Comput. 78, No. 267, 1399-1434 (2009). MSC: 65N35 35E05 41A30 35G15 35J40 65N38 PDFBibTeX XMLCite \textit{Y.-S. Smyrlis}, Math. Comput. 78, No. 267, 1399--1434 (2009; Zbl 1198.65237) Full Text: DOI
Li, Jian A computational method for solving singularly perturbed two-point singular boundary value problem. (English) Zbl 1167.65043 Int. J. Math. Anal., Ruse 2, No. 21-24, 1089-1096 (2008). Reviewer: Srinivasan Natesan (Assam) MSC: 65L10 34B05 35E15 46E22 65L20 PDFBibTeX XMLCite \textit{J. Li}, Int. J. Math. Anal., Ruse 2, No. 21--24, 1089--1096 (2008; Zbl 1167.65043) Full Text: Link
Benito, J. J.; Ureña, F.; Gavete, L. Solving parabolic and hyperbolic equations by the generalized finite difference method. (English) Zbl 1139.35007 J. Comput. Appl. Math. 209, No. 2, 208-233 (2007). Reviewer: Angela Handlovičová (Bratislava) MSC: 35A35 35E20 65M06 65M12 74S20 PDFBibTeX XMLCite \textit{J. J. Benito} et al., J. Comput. Appl. Math. 209, No. 2, 208--233 (2007; Zbl 1139.35007) Full Text: DOI
Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains. (English) Zbl 1206.35067 J. Comput. Appl. Math. 206, No. 2, 774-795 (2007). MSC: 35E05 65F05 65N35 35J40 41A30 65N38 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{Y.-S. Smyrlis}, J. Comput. Appl. Math. 206, No. 2, 774--795 (2007; Zbl 1206.35067) Full Text: DOI
Smyrlis, Yiorgos-Sokratis The method of fundamental solutions: a weighted least-squares approach. (English) Zbl 1197.35093 BIT 46, No. 1, 163-194 (2006). MSC: 35J25 35E05 65N12 65N15 65N35 65T50 PDFBibTeX XMLCite \textit{Y.-S. Smyrlis}, BIT 46, No. 1, 163--194 (2006; Zbl 1197.35093) Full Text: DOI
Veit, Jan Fundamental solutions of partial difference equations. (English) Zbl 1019.39001 ZAMM, Z. Angew. Math. Mech. 83, No. 1, 51-59 (2003). Reviewer: Peter Reichensperger (Oberasbach) MSC: 39A10 39A12 35E05 65N06 35J05 PDFBibTeX XMLCite \textit{J. Veit}, ZAMM, Z. Angew. Math. Mech. 83, No. 1, 51--59 (2003; Zbl 1019.39001) Full Text: DOI
Kay, David; Loghin, Daniel; Wathen, Andrew A preconditioner for the steady-state Navier–Stokes equations. (English) Zbl 1013.65039 SIAM J. Sci. Comput. 24, No. 1, 237-256 (2002). MSC: 65F35 35Q30 76D05 65N30 35E05 65N12 65F10 PDFBibTeX XMLCite \textit{D. Kay} et al., SIAM J. Sci. Comput. 24, No. 1, 237--256 (2002; Zbl 1013.65039) Full Text: DOI
Sturmfels, Bernd Solving systems of polynomial equations. (English) Zbl 1101.13040 CBMS Regional Conference Series in Mathematics 97. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3251-4/pbk). viii, 152 p. (2002). Reviewer: Martin Kreuzer (Dortmund) MSC: 13P10 14Q99 65H10 12D10 14P10 52B20 35E20 PDFBibTeX XMLCite \textit{B. Sturmfels}, Solving systems of polynomial equations. Providence, RI: American Mathematical Society (AMS) (2002; Zbl 1101.13040)
Kreiss, Heinz-Otto; Busenhart, Hedwig Ulmer Time-dependent partial differential equations and their numerical solution. (English) Zbl 1053.35005 Lectures in Mathematics, ETH Zürich. Basel: Birkhäuser (ISBN 3-7643-6125-5/pbk). viii, 82 p. (2001). Reviewer: Gisbert Stoyan (Budapest) MSC: 35-02 35E15 35B35 35G10 65Mxx PDFBibTeX XMLCite \textit{H.-O. Kreiss} and \textit{H. U. Busenhart}, Time-dependent partial differential equations and their numerical solution. Basel: Birkhäuser (2001; Zbl 1053.35005)
Furtado, Gilnei Gonçalves; de Vilhena, Marco Túllio; Strohaecker, Telmo Roberto An approach to boundary integral element via Fourier transforms. (English) Zbl 0935.65126 Eng. Anal. Bound. Elem. 22, No. 3, 215-220 (1998). MSC: 65N38 35A22 35E20 35G15 PDFBibTeX XMLCite \textit{G. G. Furtado} et al., Eng. Anal. Bound. Elem. 22, No. 3, 215--220 (1998; Zbl 0935.65126) Full Text: DOI
Poullikkas, A.; Karageorghis, A.; Georgiou, G. Methods of fundamental solutions for harmonic and biharmonic boundary value problems. (English) Zbl 0913.65104 Comput. Mech. 21, No. 4-5, 416-423 (1998). Reviewer: E.Lanckau (Chemnitz) MSC: 65N38 35E05 31A10 31A30 35J05 35J40 PDFBibTeX XMLCite \textit{A. Poullikkas} et al., Comput. Mech. 21, No. 4--5, 416--423 (1998; Zbl 0913.65104) Full Text: DOI
Lorenz, Jens; Schroll, H. Joachim Stiff well-posedness for hyperbolic systems with large relaxation terms (linear constant-coefficient problems). (English) Zbl 1023.35519 Adv. Differ. Equ. 2, No. 4, 643-666 (1997). MSC: 35L45 35E20 47N20 65M99 PDFBibTeX XMLCite \textit{J. Lorenz} and \textit{H. J. Schroll}, Adv. Differ. Equ. 2, No. 4, 643--666 (1997; Zbl 1023.35519)
Matthys, Lieven; Lambert, Hendrik; De Mey, Gilbert A recursive construction of particular solutions to a system of coupled linear partial differential equations with polynomial source term. (English) Zbl 0855.65129 J. Comput. Appl. Math. 69, No. 2, 319-329 (1996). Reviewer: P.Y.Yalamov (Russe) MSC: 65Z05 35E20 PDFBibTeX XMLCite \textit{L. Matthys} et al., J. Comput. Appl. Math. 69, No. 2, 319--329 (1996; Zbl 0855.65129) Full Text: DOI
Kazaryan, G. G. On localizations at infinity of differential polynomials with constant coefficients. (English. Russian original) Zbl 0839.35027 J. Contemp. Math. Anal., Armen. Acad. Sci. 29, No. 3, 50-62 (1994); translation from Izv. Nats. Akad. Nauk Armen., Mat. 29, No. 3, 62-77 (1994). Reviewer: P.Popivanov (Sofia) MSC: 35E20 65H10 PDFBibTeX XMLCite \textit{G. G. Kazaryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 29, No. 3, 50--62 (1994; Zbl 0839.35027); translation from Izv. Nats. Akad. Nauk Armen., Mat. 29, No. 3, 62--77 (1994)
Kadalbajoo, Mohan K.; Bawa, Rajesh K. Third-order variable-mesh cubic spline methods for singularly-perturbed boundary-value problems. (English) Zbl 0790.65071 Appl. Math. Comput. 59, No. 2-3, 117-129 (1993). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65L10 65L50 34B15 35E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{R. K. Bawa}, Appl. Math. Comput. 59, No. 2--3, 117--129 (1993; Zbl 0790.65071) Full Text: DOI
Tezer-Sezgin, M.; Dost, S. On the fundamental solutions of the axisymmetric Helmholtz-type equations. (English) Zbl 0796.35029 Appl. Math. Modelling 17, No. 1, 47-51 (1993). MSC: 35J05 35E05 65N38 PDFBibTeX XMLCite \textit{M. Tezer-Sezgin} and \textit{S. Dost}, Appl. Math. Modelling 17, No. 1, 47--51 (1993; Zbl 0796.35029) Full Text: DOI
Mantlik, Frank Fundamental solutions for hypoelliptic differential operators depending analytically on a parameter. (English) Zbl 0785.35008 Trans. Am. Math. Soc. 334, No. 1, 245-257 (1992). MSC: 35B30 35E05 65H10 PDFBibTeX XMLCite \textit{F. Mantlik}, Trans. Am. Math. Soc. 334, No. 1, 245--257 (1992; Zbl 0785.35008) Full Text: DOI
Tervo, J. On local fundamental solution of coercive linear partial differential operators. (English) Zbl 0754.35021 Stud. Sci. Math. Hung. 26, No. 1, 35-51 (1991). Reviewer: P.Bolley (Nantes) MSC: 35E05 35D05 65H10 PDFBibTeX XMLCite \textit{J. Tervo}, Stud. Sci. Math. Hung. 26, No. 1, 35--51 (1991; Zbl 0754.35021)
Kreiss, Heinz-Otto Well-posed hyperbolic initial boundary value problems and stable difference approximations. (English) Zbl 0789.35097 Hyperbolic problems. Theory, numerical methods and applications. Vol. II, Proc. Conf., Uppsala/Sweden 1990, 673-683 (1991). MSC: 35L45 35E15 65M99 65N99 PDFBibTeX XMLCite \textit{H.-O. Kreiss}, in: Third international conference on hyperbolic problems. Theory, numerical methods and applications. Proceedings of the conference dedicated to Professor Heinz-Otto Kreiss on his 60th birthday, held in Uppsala, Sweden, June 11-15, 1990. Vol. II. Lund: Studentlitteratur; Bromley: Chartwell-Bratt Ltd.. 673--683 (1991; Zbl 0789.35097)
Żmijewski, Krzysztof H. Classification and construction of numerical methods for boundary value problems. (Polish. English, Russian summaries) Zbl 0759.65063 Mech. Komput. 8, 7-13 (1990). Reviewer: K.Moszyński (Warszawa) MSC: 65M60 35C15 35E20 PDFBibTeX XMLCite \textit{K. H. Żmijewski}, Mech. Komput. 8, 7--13 (1990; Zbl 0759.65063)
Hörmander, Lars The analysis of linear partial differential operators II. Differential operators with constant coefficients. 2nd rev. printing. (English) Zbl 0687.35002 Grundlehren der Mathematischen Wissenschaften, 257. Berlin etc.: Springer-Verlag. viii, 392 p. DM 148.00 (1990). MSC: 35-02 35E05 35G05 35P25 35G10 35A05 35B65 35B45 42A38 32T99 65H10 35L05 35P05 PDFBibTeX XMLCite \textit{L. Hörmander}, The analysis of linear partial differential operators II. Differential operators with constant coefficients. 2nd rev. printing. Berlin etc.: Springer-Verlag (1990; Zbl 0687.35002)
Pfeiffer, Eckehard On asymptotic expansions of global errors. (Polish. English summary) Zbl 0721.65060 Ann. Soc. Math. Pol., Ser. III, Mat. Stosow. 32, 97-102 (1990). Reviewer: H.Ratschek (Düsseldorf) MSC: 65N15 35E20 PDFBibTeX XMLCite \textit{E. Pfeiffer}, Ann. Soc. Math. Pol., Ser. III, Mat. Stosow. 32, 97--102 (1990; Zbl 0721.65060)
An, Youshan An explicit fundamental solution for the operator \({\mathcal L}'_ 0\) on the Heisenberg group \(H_ n\). (Chinese. English summary) Zbl 0716.43004 Math. Appl. 1, No. 3, 27-40 (1988). MSC: 43A80 65H10 35E05 PDFBibTeX XMLCite \textit{Y. An}, Math. Appl. 1, No. 3, 27--40 (1988; Zbl 0716.43004)
Peng, Xiaolin Application of generalized function theory on the complete solutions of plates and shells. (English) Zbl 0649.73036 Appl. Math. Modelling 12, No. 3, 321-327 (1988). MSC: 74S30 65M99 65N99 35E99 35A22 74K20 74K15 30G99 PDFBibTeX XMLCite \textit{X. Peng}, Appl. Math. Modelling 12, No. 3, 321--327 (1988; Zbl 0649.73036) Full Text: DOI
Ervin, V.; Layton, W. A second order accurate, positive scheme for singularly perturbed boundary value problems. (English) Zbl 0633.65076 Comput. Mech. 3, No. 2, 115-128 (1988). Reviewer: M.Calvo MSC: 65L10 34B05 35E15 PDFBibTeX XMLCite \textit{V. Ervin} and \textit{W. Layton}, Comput. Mech. 3, No. 2, 115--128 (1988; Zbl 0633.65076) Full Text: DOI
Leguillon, D.; Sanchez-Palencia, E. Computation of singular solutions in elliptic problems and elasticity. (English) Zbl 0647.73010 Recherches en Mathématiques Appliquées, 5. Paris etc.: Masson. 200 p. (1987); Chichester etc.: John Wiley & Sons; £19.95 (1987). Reviewer: P.P.Teodorescu MSC: 74B99 74-02 65H17 74S30 74E30 65K10 35B40 35J05 35E99 74G70 PDFBibTeX XML
Popivanov, Peter On the solvability of the linear partial differential operators with constant coefficients in the class of generalized periodic functions. (Bulgarian. Russian, English summaries) Zbl 0647.35011 God. Sofij. Univ., Fak. Mat. Mekh. 76(1982), No. 1, 41-49 (1987). MSC: 35E20 35B10 46F05 65H10 PDFBibTeX XMLCite \textit{P. Popivanov}, God. Sofiĭ. Univ., Fak. Mat. Mekh. 76, No. 1, 41--49 (1987; Zbl 0647.35011)
Janssen, H. L. Recursive construction of a sequence of solutions to homogeneous linear partial differential equations with constant coefficients. (English) Zbl 0625.65117 J. Comput. Appl. Math. 20, 275-287 (1987). MSC: 65Z05 35E15 PDFBibTeX XMLCite \textit{H. L. Janssen}, J. Comput. Appl. Math. 20, 275--287 (1987; Zbl 0625.65117) Full Text: DOI
Kazaryan, G. G.; Markaryan, V. N. The hypoellipticity carrier of linear differential operators. (English. Russian original) Zbl 0657.35026 Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 21, No. 5, 32-50 (1986); translation from Izv. Akad. Nauk Arm. SSR, Mat. 21, No. 5, 453-470 (1986). MSC: 35E20 65H10 PDFBibTeX XMLCite \textit{G. G. Kazaryan} and \textit{V. N. Markaryan}, Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 21, No. 5, 32--50 (1986; Zbl 0657.35026); translation from Izv. Akad. Nauk Arm. SSR, Mat. 21, No. 5, 453--470 (1986)
Lickteig, Joachim Approximationsfragen vom Runge-Typ bei linearen partiellen Differentialgleichungen mit konstanten Koeffizienten. (German) Zbl 0647.35004 Universität Konstanz. 80 S. (1986). MSC: 35A35 35E20 35B65 65H10 PDFBibTeX XML
Andreev, A. S. Weyl’s spectral asymptotics formula for nonelliptic operators of the Dirichlet problem. (English. Russian original) Zbl 0643.35076 J. Sov. Math. 35, 2161-2170 (1986); translation from Probl. Mat. Anal. 9, 3-18 (1984). MSC: 35P20 65H10 35E20 PDFBibTeX XMLCite \textit{A. S. Andreev}, J. Sov. Math. 35, 2161--2170 (1986; Zbl 0643.35076); translation from Probl. Mat. Anal. 9, 3--18 (1984) Full Text: DOI
Kazaryan, G. G.; Markaryan, V. N. Hypoellipticity support of linear differential operators. (Russian. English summary) Zbl 0619.35020 Izv. Akad. Nauk Arm. SSR, Mat. 21, No. 5, 453-470 (1986). MSC: 35E20 65H10 PDFBibTeX XMLCite \textit{G. G. Kazaryan} and \textit{V. N. Markaryan}, Izv. Akad. Nauk Arm. SSR, Mat. 21, No. 5, 453--470 (1986; Zbl 0619.35020)
Langenbruch, Michael Partial differential equations without solution operators in weighted spaces of (generalized) functions. (English) Zbl 0604.35005 Manuscr. Math. 56, 353-374 (1986). MSC: 35E20 65H10 PDFBibTeX XMLCite \textit{M. Langenbruch}, Manuscr. Math. 56, 353--374 (1986; Zbl 0604.35005) Full Text: DOI EuDML
Zuily, Claude Distributions et équations aux dérivées partielles. Exercices corrigés. (French) Zbl 0591.46031 Collection Méthodes. Paris: Hermann. 245 p. FF 136.00 (1986). MSC: 46F05 46F10 46F12 46-01 65H10 35E05 35D05 35D10 PDFBibTeX XML
Görlich, E.; Pontzen, D. Alpha well-posedness, alpha stability, and the matrix theorems of H.-O. Kreiss. (English) Zbl 0543.65064 Numer. Math. 46, 131-146 (1985). MSC: 65M12 65M30 35E15 PDFBibTeX XMLCite \textit{E. Görlich} and \textit{D. Pontzen}, Numer. Math. 46, 131--146 (1985; Zbl 0543.65064) Full Text: DOI EuDML
Zampieri, Giuseppe Résolubilité Gevrey d’opérateurs différentiels à coefficients constants. (Gevrey solvability of differential operators with constant coefficients). (French) Zbl 0625.35002 Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 76, 243-246 (1984). Reviewer: G.Gussi MSC: 35A05 35E20 35A08 65H10 PDFBibTeX XMLCite \textit{G. Zampieri}, Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 76, 243--246 (1984; Zbl 0625.35002)
Fujiwara, Daisuke; Omori, Hideki An example of a globally hypoelliptic operator. (English) Zbl 0548.35020 Hokkaido Math. J. 12, 293-297 (1983). Reviewer: J.-C.Nosmas MSC: 35E05 35A07 65H10 35A08 PDFBibTeX XMLCite \textit{D. Fujiwara} and \textit{H. Omori}, Hokkaido Math. J. 12, 293--297 (1983; Zbl 0548.35020) Full Text: DOI
Burlachenko, V. P.; Romanenko, Yu. I. Approximation of the solution of the Cauchy problem with constant coefficients. (English. Russian original) Zbl 0531.35054 Ukr. Math. J. 34, 337-340 (1983); translation from Ukr. Mat. Zh. 34, 417-420 (1982). Reviewer: I.Aganović MSC: 35L15 65M15 35E15 65M99 65N99 PDFBibTeX XMLCite \textit{V. P. Burlachenko} and \textit{Yu. I. Romanenko}, Ukr. Math. J. 34, 337--340 (1983; Zbl 0531.35054); translation from Ukr. Mat. Zh. 34, 417--420 (1982) Full Text: DOI
Hörmander, Lars The analysis of linear partial differential operators. II: Differential operators with constant coefficients. (English) Zbl 0521.35002 Grundlehren der Mathematischen Wissenschaften, 257. Berlin Heidelberg-New York - Tokyo: Springer-Verlag. VIII, 391 p. DM 124.00; $ 49.60 (1983). Reviewer: G. Gussi MSC: 35-02 35G05 35E05 47A40 35P25 35G10 42A38 35A05 32T99 35B65 65H10 35L05 35B45 35P05 PDFBibTeX XML
Cattabriga, Lamberto Existence of a fundamental solution with singular support in a half-space and surjectivity of differential operators with constant coefficients. (Italian. English summary) Zbl 0548.35019 Rend. Sem. Mat., Torino 40, No. 1, 51-79 (1982). Reviewer: J.-C.Nosmas MSC: 35E05 65H10 35A05 PDFBibTeX XMLCite \textit{L. Cattabriga}, Rend. Semin. Mat., Torino 40, No. 1, 51--79 (1982; Zbl 0548.35019)
Shibata, Yoshihiro Lower bounds of solutions of general boundary value problems for differential operators with constant coefficients in a half-space. (English) Zbl 0524.35020 Jap. J. Math., New Ser. 8, 343-382 (1982). MSC: 35E20 35B35 65H10 PDFBibTeX XMLCite \textit{Y. Shibata}, Jpn. J. Math., New Ser. 8, 343--382 (1982; Zbl 0524.35020)
Bolley, P.; Camus, J. Régularité Gevrey et iterés pour une classe d’opérateurs hypoelliptiques. (French) Zbl 0468.35026 Commun. Partial Differ. Equations 6, 1057-1110 (1981). MSC: 35D10 65H10 35E20 PDFBibTeX XMLCite \textit{P. Bolley} and \textit{J. Camus}, Commun. Partial Differ. Equations 6, 1057--1110 (1981; Zbl 0468.35026) Full Text: DOI
Petzsche, Hans-Joachim On the \(\Lambda_\infty (\alpha)\)-nuclearity of hypoelliptic differential operators. (English) Zbl 0445.35028 Bull. Soc. R. Sci. Liège 49, 117-118 (1980). MSC: 35E99 46A13 46A11 65H10 PDFBibTeX XMLCite \textit{H.-J. Petzsche}, Bull. Soc. R. Sci. Liège 49, 117--118 (1980; Zbl 0445.35028)
Pathak, R. S. On the existence of fundamental solutions of certain boundary value problems. (English) Zbl 0412.35002 Proc. Am. Math. Soc. 73, 193-198 (1979). MSC: 35A10 35A08 65H10 35E05 PDFBibTeX XMLCite \textit{R. S. Pathak}, Proc. Am. Math. Soc. 73, 193--198 (1979; Zbl 0412.35002) Full Text: DOI
Dwyer, Thomas A. W. Differential equations of infinite order in vector-valued holomorphic Fock spaces. (English) Zbl 0441.46034 Infin. Dim. Holom. Appl., Proc. int. Symp., Univ. Estadual de Campinas/Brazil 1975, 167-200 (1977). MSC: 46F25 46G05 32A15 35E05 46B10 46F10 58C10 46N99 46G20 65H10 PDFBibTeX XML
Volosov, V. M. Topographic waves in rotating layer of liquid. (Russian) Zbl 0414.76020 Probl. asympt. Theory nonlin. Oscill., Acad. Sci. Ukr. SSR, Inst. Math., 71-76 (1977). MSC: 76B65 65L99 35E05 PDFBibTeX XML
Kaneko, A. Prolongement des solutions analytiques réelles d’équations aux dérivées partielles à coefficients constants. (French) Zbl 0359.35011 Sémin. Goulaouic-Schwartz 1976-1977, Équat. dériv. part. Anal. fonct., Exposé No.XVIII, 7 p. (1977). MSC: 35E99 65H10 PDFBibTeX XML Full Text: Numdam EuDML
Zielezny, Z. On the functional dimension of the space of solutions of partial differential equations. (English) Zbl 0307.35018 J. Differ. Equations 18, 340-345 (1975). MSC: 35E05 35J30 65H10 PDFBibTeX XMLCite \textit{Z. Zielezny}, J. Differ. Equations 18, 340--345 (1975; Zbl 0307.35018) Full Text: DOI
Masja, W. G. Einige Fragen der Theorie allgemeiner Differentialoperatoren mit konstanten Koeffizienten. (German) Zbl 0302.35017 Mitt. Math. Ges. DDR 1975, No. 1, 92-116 (1975). MSC: 35E99 65H10 47F05 PDFBibTeX XMLCite \textit{W. G. Masja}, Mitt. Math. Ges. DDR 1975, No. 1, 92--116 (1975; Zbl 0302.35017)
Brenner, Philip; Thomee, Vidar; Wahlbin, Lars B. Besov spaces and applications to difference methods for initial value problems. (English) Zbl 0294.35002 Lecture Notes in Mathematics. 434. Berlin-Heidelberg-New York: Springer-Verlag. 154 p. DM 18.00 (1975). MSC: 35-02 35E15 35L45 42A45 46E35 65M12 PDFBibTeX XML
Pieczka, Wincenty On the general solution of some partial differential equation in two- variables domain. (English) Zbl 0293.35017 Demonstr. Math. 7(1974), 451-462 (1975). MSC: 35F05 35E99 35C15 65M99 65N99 35L99 PDFBibTeX XMLCite \textit{W. Pieczka}, Demonstr. Math. 7, 451--462 (1975; Zbl 0293.35017)
Ivanauskas, Feliksas Investigation of Green’s difference function of the wave system of three spatial dimensions. (Russian) Zbl 0341.35057 Differ. Uravn. Primen.; Tr. Semin. 4, 9-30 (1973). MSC: 35L45 39A10 65M99 35E15 65N99 PDFBibTeX XML
Kaneko, Akira Fundamental principle and extension of solutions of linear differential equations with constant coefficients. (English) Zbl 0259.35017 Hyperfunctions pseudo-diff. Equations, Proc. Conf. Katata 1971, Lect. Notes Math. 287, 122-134 (1973). MSC: 35E05 65H10 PDFBibTeX XML
Kuznetsov, N. N. Asymptotisches Verhalten der Lösungen des Cauchyschen Differenzenproblems. (Russian) Zbl 0254.35007 Zh. Vychisl. Mat. Mat. Fiz. 12, 334-345 (1972). MSC: 35E99 35A99 65M99 PDFBibTeX XMLCite \textit{N. N. Kuznetsov}, Zh. Vychisl. Mat. Mat. Fiz. 12, 334--345 (1972; Zbl 0254.35007)
Dekker, L.; Dekker, T. J.; van der Houwen, P. J.; Spijker, M. N. Colloquium on the stability of difference schemata. Part 2. (Colloquium stabiliteit van differentieschema’s. Deel 2.). (Dutch) Zbl 0221.65138 MC Syllabus. 2. 2. Amsterdam: Mathematisch Centrum. 87 S. Dfl. 10.00 (1968). MSC: 65M06 65-01 65M12 35E15 35J99 PDFBibTeX XML
Kopáček, Jiří; Suchá, Marie The Cauchy problem for weakly hyperbolic systems of linear differential equations with constant coefficients. (Russian) Zbl 0173.12601 Čas. Pěstování Mat. 91, 431-452 (1966). MSC: 35L99 65M06 35E15 PDFBibTeX XMLCite \textit{J. Kopáček} and \textit{M. Suchá}, Čas. Pěstování Mat. 91, 431--452 (1966; Zbl 0173.12601) Full Text: Link