Bucataru, Mihai; Cîmpean, Iulian; Marin, Liviu A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction. (English) Zbl 1524.65707 Comput. Math. Appl. 119, 220-240 (2022). MSC: 65N06 35J20 35R30 65J20 PDFBibTeX XMLCite \textit{M. Bucataru} et al., Comput. Math. Appl. 119, 220--240 (2022; Zbl 1524.65707) Full Text: DOI
Dai, Wanyang Convolutional neural network based simulation and analysis for backward stochastic partial differential equations. (English) Zbl 1524.60120 Comput. Math. Appl. 119, 21-58 (2022). MSC: 60H10 93E20 68T07 PDFBibTeX XMLCite \textit{W. Dai}, Comput. Math. Appl. 119, 21--58 (2022; Zbl 1524.60120) Full Text: DOI
Wang, Chunmei; Wang, Junping Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems. (English) Zbl 1443.65374 Comput. Math. Appl. 79, No. 3, 746-763 (2020). MSC: 65N30 65N20 PDFBibTeX XMLCite \textit{C. Wang} and \textit{J. Wang}, Comput. Math. Appl. 79, No. 3, 746--763 (2020; Zbl 1443.65374) Full Text: DOI arXiv
Beshley, Andriy; Chapko, Roman; Johansson, B. Tomas On the alternating method and boundary-domain integrals for elliptic Cauchy problems. (English) Zbl 1443.65438 Comput. Math. Appl. 78, No. 11, 3514-3526 (2019). MSC: 65R20 PDFBibTeX XMLCite \textit{A. Beshley} et al., Comput. Math. Appl. 78, No. 11, 3514--3526 (2019; Zbl 1443.65438) Full Text: DOI
Van Au, Vo; Phuong, Nguyen Duc; Tuan, Nguyen Huy; Zhou, Yong Some regularization methods for a class of nonlinear fractional evolution equations. (English) Zbl 1442.35530 Comput. Math. Appl. 78, No. 5, 1752-1771 (2019). MSC: 35R11 PDFBibTeX XMLCite \textit{V. Van Au} et al., Comput. Math. Appl. 78, No. 5, 1752--1771 (2019; Zbl 1442.35530) Full Text: DOI
Peng, Li; Zhou, Yong; Ahmad, Bashir The well-posedness for fractional nonlinear Schrödinger equations. (English) Zbl 1442.35521 Comput. Math. Appl. 77, No. 7, 1998-2005 (2019). MSC: 35R11 35B30 35Q55 PDFBibTeX XMLCite \textit{L. Peng} et al., Comput. Math. Appl. 77, No. 7, 1998--2005 (2019; Zbl 1442.35521) Full Text: DOI
Ma, Liangliang Global regularity for the 2D magnetic Bénard fluid system with mixed partial viscosity. (English) Zbl 1442.76147 Comput. Math. Appl. 76, No. 9, 2148-2166 (2018). MSC: 76W05 35B30 35B65 35Q35 PDFBibTeX XMLCite \textit{L. Ma}, Comput. Math. Appl. 76, No. 9, 2148--2166 (2018; Zbl 1442.76147) Full Text: DOI
Liu, Chein-Shan; Wang, Fajie A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domain. (English) Zbl 1442.65333 Comput. Math. Appl. 76, No. 8, 1837-1852 (2018). MSC: 65N21 35J25 35R25 35R30 PDFBibTeX XMLCite \textit{C.-S. Liu} and \textit{F. Wang}, Comput. Math. Appl. 76, No. 8, 1837--1852 (2018; Zbl 1442.65333) Full Text: DOI
Ma, Liangliang Global existence of three-dimensional incompressible magneto-micropolar system with mixed partial dissipation, magnetic diffusion and angular viscosity. (English) Zbl 1461.76558 Comput. Math. Appl. 75, No. 1, 170-186 (2018). MSC: 76W05 76A05 35Q35 PDFBibTeX XMLCite \textit{L. Ma}, Comput. Math. Appl. 75, No. 1, 170--186 (2018; Zbl 1461.76558) Full Text: DOI
Liu, Chein-Shan; Wang, Fajie An energy method of fundamental solutions for solving the inverse Cauchy problems of the Laplace equation. (English) Zbl 1417.35230 Comput. Math. Appl. 75, No. 12, 4405-4413 (2018). MSC: 35R30 35J05 35J08 PDFBibTeX XMLCite \textit{C.-S. Liu} and \textit{F. Wang}, Comput. Math. Appl. 75, No. 12, 4405--4413 (2018; Zbl 1417.35230) Full Text: DOI
Alrawashdeh, Mahmoud S.; Kelly, James F.; Meerschaert, Mark M.; Scheffler, Hans-Peter Applications of inverse tempered stable subordinators. (English) Zbl 1409.60058 Comput. Math. Appl. 73, No. 6, 892-905 (2017). MSC: 60G22 60G55 35R11 PDFBibTeX XMLCite \textit{M. S. Alrawashdeh} et al., Comput. Math. Appl. 73, No. 6, 892--905 (2017; Zbl 1409.60058) Full Text: DOI
Li, Bin; Yang, Han The Wigner-Poisson-\(X_\alpha\) system in Wiener algebra. (English) Zbl 1375.35421 Comput. Math. Appl. 73, No. 9, 1987-1995 (2017). MSC: 35Q40 35A30 81Q05 PDFBibTeX XMLCite \textit{B. Li} and \textit{H. Yang}, Comput. Math. Appl. 73, No. 9, 1987--1995 (2017; Zbl 1375.35421) Full Text: DOI
Faverjon, B.; Puig, B.; Baranger, T. N. Identification of boundary conditions by solving Cauchy problem in linear elasticity with material uncertainties. (English) Zbl 1370.35275 Comput. Math. Appl. 73, No. 3, 494-504 (2017). MSC: 35R30 35Q74 74B05 PDFBibTeX XMLCite \textit{B. Faverjon} et al., Comput. Math. Appl. 73, No. 3, 494--504 (2017; Zbl 1370.35275) Full Text: DOI
Berntsson, F.; Kozlov, V. A.; Mpinganzima, L.; Turesson, B. O. Iterative Tikhonov regularization for the Cauchy problem for the Helmholtz equation. (English) Zbl 1368.65215 Comput. Math. Appl. 73, No. 1, 163-172 (2017). MSC: 65N20 35J05 35R25 PDFBibTeX XMLCite \textit{F. Berntsson} et al., Comput. Math. Appl. 73, No. 1, 163--172 (2017; Zbl 1368.65215) Full Text: DOI
Liao, Xiangke; Li, Shengguo; Cheng, Lizhi; Gu, Ming An improved divide-and-conquer algorithm for the banded matrices with narrow bandwidths. (English) Zbl 1443.65051 Comput. Math. Appl. 71, No. 10, 1933-1943 (2016). MSC: 65F15 15B05 PDFBibTeX XMLCite \textit{X. Liao} et al., Comput. Math. Appl. 71, No. 10, 1933--1943 (2016; Zbl 1443.65051) Full Text: DOI
Liu, Chein-Shan A fast multiple-scale polynomial solution for the inverse Cauchy problem of elasticity in an arbitrary plane domain. (English) Zbl 1404.65239 Comput. Math. Appl. 72, No. 4, 1205-1224 (2016). MSC: 65N21 74B05 74G75 65N35 PDFBibTeX XMLCite \textit{C.-S. Liu}, Comput. Math. Appl. 72, No. 4, 1205--1224 (2016; Zbl 1404.65239) Full Text: DOI
Cheng, Jianfeng; Liu, Yujun Global regularity of the 2D magnetic micropolar fluid flows with mixed partial viscosity. (English) Zbl 1443.35113 Comput. Math. Appl. 70, No. 1, 66-72 (2015). MSC: 35Q35 35B65 76W05 78A25 PDFBibTeX XMLCite \textit{J. Cheng} and \textit{Y. Liu}, Comput. Math. Appl. 70, No. 1, 66--72 (2015; Zbl 1443.35113) Full Text: DOI
Berntsson, F.; Kozlov, V. A.; Mpinganzima, L.; Turesson, B. O. An accelerated alternating procedure for the Cauchy problem for the Helmholtz equation. (English) Zbl 1368.35075 Comput. Math. Appl. 68, No. 1-2, 44-60 (2014). MSC: 35J05 65N20 65N21 PDFBibTeX XMLCite \textit{F. Berntsson} et al., Comput. Math. Appl. 68, No. 1--2, 44--60 (2014; Zbl 1368.35075) Full Text: DOI
Luchko, Yuri; Mainardi, Francesco; Povstenko, Yuriy Propagation speed of the maximum of the fundamental solution to the fractional diffusion-wave equation. (English) Zbl 1381.35226 Comput. Math. Appl. 66, No. 5, 774-784 (2013). MSC: 35R11 35A08 PDFBibTeX XMLCite \textit{Y. Luchko} et al., Comput. Math. Appl. 66, No. 5, 774--784 (2013; Zbl 1381.35226) Full Text: DOI arXiv
Kutev, N.; Kolkovska, N.; Dimova, M. Global existence of Cauchy problem for Boussinesq paradigm equation. (English) Zbl 1319.35115 Comput. Math. Appl. 65, No. 3, 500-511 (2013). MSC: 35L77 35A01 35D30 76D03 35L30 PDFBibTeX XMLCite \textit{N. Kutev} et al., Comput. Math. Appl. 65, No. 3, 500--511 (2013; Zbl 1319.35115) Full Text: DOI
Tatar, Nasser-Eddine Existence results for an evolution problem with fractional nonlocal conditions. (English) Zbl 1207.34099 Comput. Math. Appl. 60, No. 11, 2971-2982 (2010). MSC: 34K37 35R11 47D09 47N20 PDFBibTeX XMLCite \textit{N.-E. Tatar}, Comput. Math. Appl. 60, No. 11, 2971--2982 (2010; Zbl 1207.34099) Full Text: DOI
Zhou, Xin-Wei; Yao, Li The variational iteration method for Cauchy problems. (English) Zbl 1201.65189 Comput. Math. Appl. 60, No. 3, 756-760 (2010). MSC: 65M99 PDFBibTeX XMLCite \textit{X.-W. Zhou} and \textit{L. Yao}, Comput. Math. Appl. 60, No. 3, 756--760 (2010; Zbl 1201.65189) Full Text: DOI
Wang, Rong-Nian; Chen, De-Han On a class of retarded integro-differential equations with nonlocal initial conditions. (English) Zbl 1208.45004 Comput. Math. Appl. 59, No. 12, 3700-3709 (2010). Reviewer: Iulian Stoleriu (Iaşi) MSC: 45J05 26A33 45G10 PDFBibTeX XMLCite \textit{R.-N. Wang} and \textit{D.-H. Chen}, Comput. Math. Appl. 59, No. 12, 3700--3709 (2010; Zbl 1208.45004) Full Text: DOI
Laskri, Yamina; Tatar, Nasser-Eddine The critical exponent for an ordinary fractional differential problem. (English) Zbl 1189.34013 Comput. Math. Appl. 59, No. 3, 1266-1270 (2010). MSC: 34A08 26A33 45J05 PDFBibTeX XMLCite \textit{Y. Laskri} and \textit{N.-E. Tatar}, Comput. Math. Appl. 59, No. 3, 1266--1270 (2010; Zbl 1189.34013) Full Text: DOI
Zhou, Yong; Jiao, Feng Existence of mild solutions for fractional neutral evolution equations. (English) Zbl 1189.34154 Comput. Math. Appl. 59, No. 3, 1063-1077 (2010). MSC: 34K37 26A33 34K40 45J05 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{F. Jiao}, Comput. Math. Appl. 59, No. 3, 1063--1077 (2010; Zbl 1189.34154) Full Text: DOI
Shidfar, A.; Molabahrami, A.; Babaei, A.; Yazdanian, A. A series solution of the Cauchy problem for the generalized \(d\)-dimensional Schrödinger equation with a power-law nonlinearity. (English) Zbl 1189.65256 Comput. Math. Appl. 59, No. 4, 1500-1508 (2010). MSC: 65M99 35Q55 PDFBibTeX XMLCite \textit{A. Shidfar} et al., Comput. Math. Appl. 59, No. 4, 1500--1508 (2010; Zbl 1189.65256) Full Text: DOI
Yıldırım, Ahmet Application of he’s homotopy perturbation method for solving the Cauchy reaction-diffusion problem. (English) Zbl 1165.65398 Comput. Math. Appl. 57, No. 4, 612-618 (2009). MSC: 65M99 PDFBibTeX XMLCite \textit{A. Yıldırım}, Comput. Math. Appl. 57, No. 4, 612--618 (2009; Zbl 1165.65398) Full Text: DOI
Hernández M., Eduardo; Aki, Sueli M. Tanaka; Henríquez, Hernán Global solutions for impulsive abstract partial differential equations. (English) Zbl 1155.35481 Comput. Math. Appl. 56, No. 5, 1206-1215 (2008). MSC: 35R12 PDFBibTeX XMLCite \textit{E. Hernández M.} et al., Comput. Math. Appl. 56, No. 5, 1206--1215 (2008; Zbl 1155.35481) Full Text: DOI
Marin, L. A meshless method for solving the Cauchy problem in three-dimensional elastostatics. (English) Zbl 1127.74014 Comput. Math. Appl. 50, No. 1-2, 73-92 (2005). MSC: 74G15 65F22 65N22 74B05 PDFBibTeX XMLCite \textit{L. Marin}, Comput. Math. Appl. 50, No. 1--2, 73--92 (2005; Zbl 1127.74014) Full Text: DOI
Liang, Jin; Xiao, Ti-Jun Semilinear integrodifferential equations with nonlocal initial conditions. (English) Zbl 1068.45014 Comput. Math. Appl. 47, No. 6-7, 863-875 (2004). Reviewer: Neville Ford (Chester) MSC: 45J05 45G10 PDFBibTeX XMLCite \textit{J. Liang} and \textit{T.-J. Xiao}, Comput. Math. Appl. 47, No. 6--7, 863--875 (2004; Zbl 1068.45014) Full Text: DOI
El Sheikh, M. G. The estimation of the error resulting due to the truncation applied to homogeneous integral equations with Cauchy’s kernel. (English) Zbl 1068.65144 Comput. Math. Appl. 46, No. 10-11, 1741-1748 (2003). Reviewer: Bui Doan Khanh (Paris) MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{M. G. El Sheikh}, Comput. Math. Appl. 46, No. 10--11, 1741--1748 (2003; Zbl 1068.65144) Full Text: DOI
Coles, C.; Murio, D. A. Simultaneous space diffusivity and source term reconstruction in 2D IHCP. (English) Zbl 1005.65106 Comput. Math. Appl. 42, No. 12, 1549-1564 (2001). Reviewer: Zhang Whanguo (Shanghai) MSC: 65M32 35R30 35K15 PDFBibTeX XMLCite \textit{C. Coles} and \textit{D. A. Murio}, Comput. Math. Appl. 42, No. 12, 1549--1564 (2001; Zbl 1005.65106) Full Text: DOI
Liang, Jin; Xiao, Ti-Jun The Cauchy problem for nonlinear abstract functional differential equations with infinite delay. (English) Zbl 0960.34067 Comput. Math. Appl. 40, No. 6-7, 693-703 (2000). MSC: 34K30 34K05 PDFBibTeX XMLCite \textit{J. Liang} and \textit{T.-J. Xiao}, Comput. Math. Appl. 40, No. 6--7, 693--703 (2000; Zbl 0960.34067) Full Text: DOI
Chang, Shihsen; Park, Jong Yeoul; Chen, Yuqing Accretive equations in cones of Banach space. (English) Zbl 0961.47034 Comput. Math. Appl. 39, No. 5-6, 55-64 (2000). Reviewer: Ioan Vrabie (Iaşi) MSC: 47H06 PDFBibTeX XMLCite \textit{S. Chang} et al., Comput. Math. Appl. 39, No. 5--6, 55--64 (2000; Zbl 0961.47034) Full Text: DOI
Gupur, G.; Li, Xuezhi; Zhu, Guangtian Existence and uniqueness of nonnegative solution of \(M/G^B/1\) queueing model. (English) Zbl 0965.90013 Comput. Math. Appl. 39, No. 7-8, 199-209 (2000). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{G. Gupur} et al., Comput. Math. Appl. 39, No. 7--8, 199--209 (2000; Zbl 0965.90013) Full Text: DOI
Pan, V. Y.; Tabanjeh, M. A.; Chen, Z. Q.; Landowne, E. I.; Sadikou, A. New transformations of Cauchy matrices and Trummer’s problem. (English) Zbl 0999.65024 Comput. Math. Appl. 35, No. 12, 1-5 (1998). MSC: 65F30 65D20 12Y05 PDFBibTeX XMLCite \textit{V. Y. Pan} et al., Comput. Math. Appl. 35, No. 12, 1--5 (1998; Zbl 0999.65024) Full Text: DOI
Akishin, P. G.; Puzynin, I. V.; Vinitskij, S. I. A hybrid numerical method for analysis of dynamics of the classical Hamiltonian systems. (English) Zbl 0896.70002 Comput. Math. Appl. 34, No. 2-4, 45-73 (1997). MSC: 70-08 70H05 PDFBibTeX XMLCite \textit{P. G. Akishin} et al., Comput. Math. Appl. 34, No. 2--4, 45--73 (1997; Zbl 0896.70002) Full Text: DOI
Gao, Yitian; Tian, Bo Generalized tanh method with symbolic computation and generalized shallow water wave equation. (English) Zbl 0873.76061 Comput. Math. Appl. 33, No. 4, 115-118 (1997). MSC: 76M25 76B25 68W30 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{B. Tian}, Comput. Math. Appl. 33, No. 4, 115--118 (1997; Zbl 0873.76061) Full Text: DOI
Long, N. T.; Ortiz, E. L.; Pham Ngoc Dinh, A. A nonlinear Bessel differential equation associated with Cauchy conditions. (English) Zbl 0855.34007 Comput. Math. Appl. 31, No. 10, 131-139 (1996). Reviewer: V.Iftode (Bucureşti) MSC: 34A12 34B30 34D05 PDFBibTeX XMLCite \textit{N. T. Long} et al., Comput. Math. Appl. 31, No. 10, 131--139 (1996; Zbl 0855.34007) Full Text: DOI
Van Daele, M.; Vanden Berghe, G.; De Meyer, H. Properties and implementation of \(r\)-Adams methods based on mixed-type interpolation. (English) Zbl 0837.65079 Comput. Math. Appl. 30, No. 10, 37-54 (1995). Reviewer: M.Bartušek (Brno) MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{M. Van Daele} et al., Comput. Math. Appl. 30, No. 10, 37--54 (1995; Zbl 0837.65079) Full Text: DOI
Rizk, M. M. Approximate solution of an initial-value problem of retarded differential equations on a complex domain. (English) Zbl 0887.34004 Comput. Math. Appl. 30, No. 8, 19-27 (1995). MSC: 34M99 65L05 34A12 PDFBibTeX XMLCite \textit{M. M. Rizk}, Comput. Math. Appl. 30, No. 8, 19--27 (1995; Zbl 0887.34004) Full Text: DOI
Bellomo, N.; LeTallec, P.; Perthame, B. The solution of the nonlinear Boltzmann equation: A survey of analytic and computational methods. (English) Zbl 0832.76084 Comput. Math. Appl. 30, No. 7, 21-30 (1995). MSC: 76P05 76-02 45K05 PDFBibTeX XMLCite \textit{N. Bellomo} et al., Comput. Math. Appl. 30, No. 7, 21--30 (1995; Zbl 0832.76084) Full Text: DOI
Luchko, Yu. F.; Srivastava, H. M. The exact solution of certain differential equations of fractional order by using operational calculus. (English) Zbl 0824.44011 Comput. Math. Appl. 29, No. 8, 73-85 (1995). Reviewer: H.M.Srivastava (Victoria) MSC: 44A45 26A33 34A25 PDFBibTeX XMLCite \textit{Yu. F. Luchko} and \textit{H. M. Srivastava}, Comput. Math. Appl. 29, No. 8, 73--85 (1995; Zbl 0824.44011) Full Text: DOI
Burrage, K.; Pohl, B. Implementing an ODE code on distributed memory computers. (English) Zbl 0810.65073 Comput. Math. Appl. 28, No. 10-12, 235-252 (1994). Reviewer: M.Bartušek (Brno) MSC: 65L05 65Y05 34A34 PDFBibTeX XMLCite \textit{K. Burrage} and \textit{B. Pohl}, Comput. Math. Appl. 28, No. 10--12, 235--252 (1994; Zbl 0810.65073) Full Text: DOI
De Meyer, H.; Vanden Berghe, G.; Vanthournout, J. Modified backward differentiation methods of the Adams-type based on exponential interpolation. (English) Zbl 0729.65054 Comput. Math. Appl. 21, No. 2-3, 171-179 (1991). Reviewer: K.Moszyński (Warszawa) MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{H. De Meyer} et al., Comput. Math. Appl. 21, No. 2--3, 171--179 (1991; Zbl 0729.65054) Full Text: DOI
Mika, Janus R. Asymptotic analysis of singularly perturbed systems of ordinary differential equations. (English) Zbl 0724.34065 Comput. Math. Appl. 21, No. 10, 13-32 (1991). Reviewer: R.Kodnár (Bratislava) MSC: 34E15 34A30 PDFBibTeX XMLCite \textit{J. R. Mika}, Comput. Math. Appl. 21, No. 10, 13--32 (1991; Zbl 0724.34065) Full Text: DOI
Ueno, S.; Wang, Alan P. Invariant imbedding and searchlight problem in turbid slab. (English) Zbl 0739.45007 Comput. Math. Appl. 21, No. 11-12, 1-6 (1991). Reviewer: L.-I.Anita (Iaşi) MSC: 45J05 45G15 65R20 PDFBibTeX XMLCite \textit{S. Ueno} and \textit{A. P. Wang}, Comput. Math. Appl. 21, No. 11--12, 1--6 (1991; Zbl 0739.45007) Full Text: DOI
Gyöngy, I. The approximation of stochastic partial differential equations and applications in nonlinear filtering. (English) Zbl 0711.60053 Comput. Math. Appl. 19, No. 1, 47-63 (1990). Reviewer: M.Chaleyat-Maurel MSC: 60H15 60G35 93E11 PDFBibTeX XMLCite \textit{I. Gyöngy}, Comput. Math. Appl. 19, No. 1, 47--63 (1990; Zbl 0711.60053) Full Text: DOI
Zeman, Marvin Uniqueness of solutions to the initial-value problem for partial differential equations with multiple characteristics. (English) Zbl 0575.35009 Comput. Math. Appl. 11, 293-305 (1985). Reviewer: W.Watzlawek MSC: 35G10 35A05 PDFBibTeX XMLCite \textit{M. Zeman}, Comput. Math. Appl. 11, 293--305 (1985; Zbl 0575.35009) Full Text: DOI