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Parametric integrators approximate solutions of (high-dimensional) partial differential equations by restricting the numerical approximation to a closed form that nonlinearly depends on, and is
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This PhD project will investigate partial differential equations arising from kinetic models, with a particular focus on variational methods. The research will explore how variational structures
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differential equations (PDEs). Full-waveform inversion is a powerful approach to such problems, but its practical use is limited by the strong nonlinearity of the inverse problem and by the computational cost
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will consider techniques like flow matching, and use ideas from optimal transport and neural (stochastic) differential equations, invariant Kalman filtering and geometric numerical integration
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and Dynamical Systems group and in Lund it is embedded in the Partial Differential Equations group . You will be able to participate in a range of local and national seminars. There is also funding
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an advanced topic in one of the following areas: Mathematical Analysis, Differential Equations, Geometry and Topology, Mathematical Logic, Algebra, and Combinatorics. Fellowship duration: The grant is expected
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Inria, the French national research institute for the digital sciences | Villeneuve la Garenne, le de France | France | 3 months ago
differential equations with mixed boundary conditions that often require specific integration schemes and root-finding algorithms to solve. This problem of computational cost makes it challenging 1) to analyse
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applied to regression, classification, and the solution of time-dependent partial differential equations (PDEs), such as large-scale tsunami simulations. The project involves two doctoral researchers with
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differential equations is a requirement. Research-level experience with development of simulation technology is a requirement. Research-level experience with either multiphase flow in porous media
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of analysis of partial differential equations (PDEs). The PhD candidate will be supervised by Havva Yoldaş and co-supervised by Raphael Winter (Cardiff University). The research topics primarily revolves around