Found 50 Documents (Results 1–50)
Finite basis physics-informed neural networks (FBPINNs): a scalable domain decomposition approach for solving differential equations. (English) Zbl 07726220
An efficient and high-fidelity local multi-mesh finite volume method for heat transfer and fluid flow problems in metal additive manufacturing. (English) Zbl 07644873
FBSDE based neural network algorithms for high-dimensional quasilinear parabolic PDEs. (English) Zbl 07599601
A stochastic kinetic scheme for multi-scale plasma transport with uncertainty quantification. (English) Zbl 07511681
Numerical solution of the viscous flows in a network of thin tubes: equations on the graph. (English) Zbl 07503734
Hydrodynamic \(\alpha\)-effect in a rotating stratified moist atmosphere driven by small-scale non-helical force. (English) Zbl 1482.86031
Failure of the \(N\)-wave interaction approximation without imposing periodic boundary conditions. (English) Zbl 07806611
Heterogeneity assessment based on average variations of morphological tortuosity for complex porous structures characterization. (English) Zbl 1445.62337
Mono-scale and multi-scale formulations of gradient-enriched dynamic piezomagnetics. (English) Zbl 1524.74136
MSC:
74F15
Interactions in a multi-scale representation of sparse media: from mechanics to thermodynamics. (English) Zbl 1420.82016
Existence and construction of resonances for atoms coupled to the quantized radiation field. (English) Zbl 1366.81318
Existence of ground state eigenvalues for the spin-boson model with critical infrared divergence and multiscale analysis. (English) Zbl 1366.81317
Quantifying non-stationarity effects on organization of atmospheric turbulent eddy motion by Benford’s law. (English) Zbl 1510.86012
Exponential scaling limit of the single-particle Anderson model via adaptive feedback scaling. (English) Zbl 1341.82042
On efficient numerical algorithms for simulation of high power electrical cables. (English) Zbl 1488.65332
Nesting an incompressible-flow code within a compressible-flow code: a two-dimensional study. (English) Zbl 1390.76010
A multi-dimensional, energy- and charge-conserving, nonlinearly implicit, electromagnetic Vlasov-Darwin particle-in-cell algorithm. (English) Zbl 1352.65405
HPC simulations of the fine particulate matter climate of Bulgaria. (English) Zbl 1358.86003
Dimov, Ivan (ed.) et al., Numerical methods and applications. 8th international conference, NMA 2014, Borovets, Bulgaria, August 20–24, 2014. Revised selected papers. Berlin: Springer (ISBN 978-3-319-15584-5/pbk). Lecture Notes in Computer Science 8962, 178-186 (2015).
MSC:
86A10
Stochastic amplitude equation for the stochastic generalized Swift-Hohenberg equation. (English) Zbl 1329.60217
Coupling of reaction and hydrodynamics around a reacting block modeled by lattice Boltzmann method (LBM). (English) Zbl 1365.76261
Climate science, waves and PDEs for the tropics. (English) Zbl 1253.86005
Holden, Helge (ed.) et al., Nonlinear partial differential equations. The Abel symposium 2010. Proceedings of the Abel symposium, Oslo, Norway, September 28–October 2, 2010. Berlin: Springer (ISBN 978-3-642-25360-7/hbk; 978-3-642-25361-4/ebook). Abel Symposia 7, 223-230 (2012).
Dynamical localization for a multi-particle model with an alloy-type external random potential. (English) Zbl 1222.82046
Reviewer: Nasir N. Ganikhodjaev (Kuantan)
Numerical simulation of fluid induced vibration of graphenes at micron scales. (English) Zbl 1231.82064
High performance computing on vector systems 2010. Selected papers based on the presentations at the 11th teraflop workshop, Tohoku, Japan, October 2009 and the 12th teraflop workshop, Stuttgart, Germany, March 2010. (English) Zbl 1211.68011
Berlin: Springer (ISBN 978-3-642-11850-0/hbk; 978-3-642-11851-7/ebook). xii, 198 p. (2010).
Two-scale diffusion – deformation coupling model for material deterioration involving micro-crack propagation. (English) Zbl 1197.74011
Coupling contraction, excitation, ventricular and coronary blood flow across scale and physics in the heart. (English) Zbl 1185.92034
Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 367, No. 1896, 2311-2331 (2009); erratum bid. 367, No. 1901, 3331 (2009).
Multi-scale support vector algorithms for hot spot detection and modelling. (English) Zbl 1407.62346
High performance computing on vector systems 2007. Selected papers based on the presentations at the 5th Teraflop workshop, Tohuku, Japan, November 2006 and 6th Teraflop workshop, Stuttgart, Germany, March 2007. (English) Zbl 1127.68112
Berlin: Springer (ISBN 978-3-540-74383-5/hbk). xi, 267 p. (2008).
Computational modelling of multi-physics and multi-scale processes in parallel. (English) Zbl 1140.68363
MSC:
68N30
Mathematics in the climate of global change. (Mathematik im Klima des globalen Wandels.) (German) Zbl 1166.86002
Reviewer: Claudia-Veronika Meister (Darmstadt)
MSC:
86A10
The meshless method (MLPG) for domain & BIE discretizations. (English) Zbl 1105.65107
CREST. Contemporary Research on Emerging Sciences and Technology. Forsyth, GA: Tech Science Press (ISBN 0-9657001-8-6/hbk). x, 677 p. (2004).
Reviewer: Michael Jung (Dresden)
Multi-scale molecular modeling of chemical reactivity. (English) Zbl 1156.81516
MSC:
81V55
81T80
Multi-scale constitutive model and computational framework for the design of ultra-high strength, high toughness steels. (English) Zbl 1079.74504
Multi-scale finite-volume method for elliptic problems in subsurface flow simulation. (English) Zbl 1047.76538
Remarks on some mathematical problems arising in climatology. (English) Zbl 0849.76081
Kirchgässner, Klaus (ed.) et al., ICIAM 95: Proceedings of the third international congress on industrial and applied mathematics, held in Hamburg, Germany, July 3-7, 1995. Berlin: Akademie Verlag. Math. Res. 87, 177-212 (1996).
Some topics in nonlinear wave propagation. (English) Zbl 0455.35003
Ordinary and partial differential equations, Proc. 6th Conf. Dundee 1980, Lect. Notes Math. 846, 168-184 (1981).
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