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1“... with kinematic boundary conditions and is mainly based on the solution of a first-order partial differential...”
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2by Gopalan, Giri, Hrafnkelsson, Birgir, Aðalgeirsdóttir, Guðfinna, Jarosch, Alexander H., Pálsson, Finnur“... for solving the SIA partial differential equation (PDE). An additional novelty of this work is the correction...”
Published in The Cryosphere (2018)
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3“..., by avoiding the use of a pre-defined convection pattern. Basically, we solve the second-order differential...”
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4by Swierczek-Jereczek, Jan, Montoya, Marisa, Latychev, Konstantin, Robinson, Alexander, Alvarez-Solas, Jorge, Mitrovica, Jerry“... transforms and a hybrid collocation scheme to solve its underlying partial differential equation...”
Published 2023
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5by Hillebrand, Trevor R., Hoffman, Matthew J., Perego, Mauro, Price, Stephen F., Howat, Ian M.“...-constrained (partial differential equation) optimization. Next, we impose calving rates to match mean observed...”
Published in The Cryosphere (2022)
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6by Zhu, Hongyu, Petra, Noemi, Stadler, Georg, Isaac, Tobin, Hughes, Thomas J. R., Ghattas, Omar“... and Hessian expressions for the resulting partial differential equation (PDE)-constrained optimization problem...”
Published in The Cryosphere (2016)
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7by Martínez Montero, Marina, Crucifix, Michel, Couplet, Victor, Brede, Nuria, Botta, Nicola“... timescales of Greenland and Antarctic ice sheets. The model, consisting of 8 ordinary differential equations...”
Published 2022
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8by Martínez Montero, Marina, Crucifix, Michel, Couplet, Victor, Brede, Nuria, Botta, Nicola“... sheets, glaciers and ocean thermal expansion. It consists of 9 loosely coupled ordinary differential...”
Published in Geoscientific Model Development (2022)
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9by Tezaur, I. K., Perego, M., Salinger, A. G., Tuminaro, R. S., Price, S. F.“... capabilities. Following an overview of the relevant partial differential equations and boundary conditions...”
Published in Geoscientific Model Development (2015)
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10“... not designed to cope with mathematical particularities of arbitrary, nonlinear partial differential equations...”
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11“... action principle as well as a novel set of Euler-Lagrange partial differential equations and boundary...”
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12“... is in hydrostatic balance. The model is represented by two simple ordinary differential equations, where the rate...”
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13“... of differential equations that we solve using a finite-difference, implicit time-stepping approach. We conduct a...”
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14by Fischler, Yannic, Rückamp, Martin, Bischof, Christian, Aizinger, Vadym, Morlighem, Mathieu, Humbert, Angelika“... solving partial differential equations at a high spatial resolution. In this paper, we discuss the scaling...”
Published in Geoscientific Model Development (2022)
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15by Mei, L., Xue, Y., de Leeuw, G., Holzer-Popp, T., Guang, J., Li, Y., Yang, L., Xu, H., Xu, X., Li, C., Wang, Y., Wu, C., Hou, T., He, X., Liu, J., Dong, J., Chen, Z.“... atmosphere, two coupled differential equations for the upward and downward fluxes are derived. The boundary...”
Published in Atmospheric Chemistry and Physics (2012)
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