## Found 43 Documents (Results 1–43)

### Convolutional neural network based simulation and analysis for backward stochastic partial differential equations. (English)Zbl 07566238

MSC:  65-XX 93-XX
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### An economical robust algorithm for solving 1D coupled Burgers’ equations in a semi-Lagrangian framework. (English)Zbl 07537566

MSC:  65Mxx 35Qxx 76Mxx
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### Algorithm for a cost-reducing time-integration scheme for solving incompressible Navier-Stokes equations. (English)Zbl 07337812

MSC:  76-XX 65-XX
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### A filter method for inverse nonlinear sideways heat equation. (English)Zbl 1482.35105

MSC:  35K05 35R25 35R30
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### A completely explicit scheme of Cauchy problem in BSLM for solving the Navier-Stokes equations. (English)Zbl 1453.76034

MSC:  76D05 65M22 65N06
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### Probabilistic interpretations of quasilinear parabolic systems. (English)Zbl 1450.60041

Kuchment, Peter (ed.) et al., Differential equations, mathematical physics, and applications. Selim Grigorievich Krein centennial. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 734, 39-57 (2019).
MSC:  60J60 60H15
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### On the energy estimate for Klein-Gordon-type equations with time-dependent singular mass. (English)Zbl 1426.35047

Lindahl, Karl-Olof (ed.) et al., Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 325-335 (2019).
MSC:  35B45 35L15 35B40
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### On the Cauchy problem for backward stochastic partial differential equations in Hölder spaces. (English)Zbl 1336.60125

MSC:  60H15 35R60
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### On the Cauchy-Dirichlet problem in a half space for backward SPDEs in weighted Hölder spaces. (English)Zbl 1335.60117

MSC:  60H15 35R60
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### Probabilistic counterparts of nonlinear parabolic partial differential equation systems. (English)Zbl 1325.60114

Korolyuk, Volodymyr (ed.) et al., Modern stochastics and applications. Selected papers based on the presentations at the international conference “Modern stochastics: theory and applications III”, dedicated to B. V. Gnedenko on the occasion of his 100th birthday and to M. I. Yadrenko on the occasion of his 80th birthday, Kyiv, Ukraine, September 10–14, 2012. Cham: Springer (ISBN 978-3-319-03511-6/hbk; 978-3-319-03512-3/ebook). Springer Optimization and Its Applications 90, 71-94 (2014).
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### On regularization and error estimates for non-homogeneous backward Cauchy problem. (English)Zbl 1248.35229

MSC:  35R25 35K05
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### A note on necessary conditions for blow-up of energy solutions to the Navier-Stokes equations. (English)Zbl 1247.35096

Escher, Joachim (ed.) et al., Parabolic problems. The Herbert Amann Festschrift. Based on the conference on nonlinear parabolic problems held in celebration of Herbert Amann’s 70th birthday at the Banach Center in Bȩdlewo, Poland, May 10–16, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0074-7/hbk; 978-3-0348-0075-4/ebook). Progress in Nonlinear Differential Equations and Their Applications 80, 631-645 (2011).
MSC:  35Q30 35B44
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### Backward uniqueness for the system of thermoelastic waves with non-Lipschitz continuous coefficients. (English)Zbl 1264.35006

Ruzhansky, Michael (ed.) et al., Progress in analysis and its applications. Proceedings of the 7th international ISAAC congress held at the Imperial College London, London, UK, July 13–18, 2009. Hackensack, NJ: World Scientific (ISBN 978-981-4313-16-2/hbk; 978-981-4313-17-9/ebook). 346-353 (2010).
MSC:  35A02 74F05
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### On some problems for forward-backward parabolic equations. (English. Russian original)Zbl 1203.35125

Sib. Math. J. 51, No. 2, 338-345 (2010); translation from Sib. Mat. Zh. 51, No. 2, 420-427 (2010).
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MSC:  35L15
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### Loss of regularity for second order hyperbolic equations with singular coefficients. (English)Zbl 1098.35115

MSC:  35L80 35L15

### The Navier–Stokes equations and backward uniqueness. (English)Zbl 1024.76011

Birman, Michael Sh. (ed.) et al., Nonlinear problems in mathematical physics and related topics II. In honour of Professor O. A. Ladyzhenskaya. New York, NY: Kluwer Academic Publishers. Int. Math. Ser., N.Y. 2, 353-366 (2002).
MSC:  76D03 35Q30

### Regularization of weakly ill-posed Cauchy problems. (English)Zbl 1023.35090

MSC:  35R25 35R20 47D03
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### On multistep extrapolation methods for ordinary differential equations. (English. Russian original)Zbl 1045.65059

Dokl. Math. 61, No. 3, 357-360 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 372, No. 3, 301-304 (2000).

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### Stability of Rothe’s scheme and maximal regularity for parabolic equations in $$C^\theta(\bar\Omega)$$. (English)Zbl 0917.35006

Amann, H. (ed.) et al., Progress in partial differential equations. Papers from the 3rd European conference on elliptic and parabolic problems, Pont-à-Mousson, France, June 1997. Vol. 1. Harlow: Longman. Pitman Res. Notes Math. Ser. 383, 167-180 (1998).

### Applications of $$C$$-groups to existence of solutions of some mixed problems. (English)Zbl 0922.47034

MSC:  47D06 35G10 35K25
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### On the method of backward steps of Carathéodory-Tonelli. (English)Zbl 0857.34027

MSC:  34A45 65L06 34A12
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### Continuous dependence on initial-time geometry for a thermoelastic system with sign-indefinite elasticities. (English)Zbl 0857.35128

MSC:  35R25 35B30 74B05 80A20
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### Mathematical problems in the dynamics of nuclear reactors. (Matematicheskie zadachi dinamiki yadernykh reaktorov.) (Russian)Zbl 0878.00012

Moskva: Ehnergoatomizdat. 384 p. (1994).

### Holmgren’s theorem for stochastic differential equations. (English. Russian original)Zbl 0881.60060

Mosc. Univ. Math. Bull. 49, No. 1, 47-51 (1994); translation from Vestn. Mosk. Univ., Ser. I 1994, No. 1, 54-59 (1994).
MSC:  60H15

### Modified backward differentiation methods of the Adams-type based on exponential interpolation. (English)Zbl 0729.65054

MSC:  65L06 65L05 34A34
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### The Cauchy and backward-Cauchy problem for a nonlinearly hyperelastic/viscoelastic infinite rod. (English)Zbl 0542.35018

Ordinary differential equations and operators, A Trib. to F. V. Atkinson, Proc. Symp., Dundee/Scotl. 1982, Lect. Notes Math. 1032, 427-448 (1983).
Reviewer: St.Zanfir
MSC:  35G25 35A07 74M20

### Direct solution of the Bellman equation for a stochastic control problem. (English)Zbl 0526.93070

Control theory for distributed parameter systems and applications, Proc. Conf., Vorau/Styria 1982, Lect. Notes Control Inf. Sci. 54, 92-99 (1983).
MSC:  93E20 49J55 49L20 35K55 35D05 90C39

### An integro-differential equation related with heat conduction in materials with memory. (Italian. English summary)Zbl 0536.45016

MSC:  45K05 45L05

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