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on identifying both well- and ill-posed examples and the interplay between probabilistic analysis and the analysis of partial differential equations (PDE). Examples of models in the scope of the project include
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algebraic equations, partial and ordinary differential equations, integro-differential equations, difference equations optimization with constraints, calculus of variation, scaling methods, approximation
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English language. Good theoretical background in electrochemistry and electrochemical processes Knowledge of applied mathematical modelling, in particular numerical solution of partial differential equations
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, Math , Mathematical Sciences , Mathematics , Mathematics Education , Nonlinear Partial Differential Equations , Partial Differential Equations , Physics , Probability , Probability, Mathematical Physics
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of computer codes. Specific Requirements Educational Requirements: Knowledge of mathematical and computational modeling with partial differential equations and the finite element method. Scientific programming
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dynamics, and optics - Strong knowledge in plasma physics. - Proficiency in Python, and basic knowledge of LaTeX. - Basic knowledge of numerical methods for solving differential equations (e.g., finite
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of applied mathematical modelling, in particular numerical solution of partial differential equations Experience with one or more relevant programming languages/tools (Python, C, Matlab, OpenFOAM etc.) PLEASE
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fluid motion. The research will focus on hyperbolic-parabolic partial differential equations, nonlinear wave equations, and compressible Navier-Stokes equations. The appointed fellow will conduct research
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mathematical framework for quantum mechanics. The researcher is expected to make contributions in the fields of functional analysis, complex analysis, spectral theory, and partial-differential equations, but
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knowledge in most of the following topics is essential for this position: differential equations, operator spectral theory, linear vector spaces, differential geometry, boundary-value problems, Green's