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Partial differential equations (PDEs) have become an essential tool for modeling complex physical systems. Such equations are typically solved numerically via mesh-based methods, such as the finite el...
This talk is concerned with the controllability, observability and inverse problems for two types of stochastic partial differential equations, which are degenerate/singular stochastic parabolic equat...
Nonlinear partial differential equations (PDEs) are crucial to modelling important problems in science but they are computationally expensive and suffer from the curse of dimensionality. Since quantum...
PDEs are among the most powerful tools in both geometry and physics. Fundamental geometric problems like the Poincare ́ conjecture have been solved with PDEs, and the basic field equations of phy...
Nonlinear Partial Differential Equations naturally appear in gas motions, fluid mechanics, differential geometry and many other fields, which cover compressible and incompressible Navier-Stokes equati...
This conference will demonstrate and strengthen connections between geometric analysis and nonlinear partial differential equations. We focus on new advances in several related themes, which include v...
Nonlinear Partial Differential Equations naturally appear in gas motions, fluid mechanics, differential geometry and many other fields, which cover compressible and incompressible Navier-Stokes equati...
PDEs are among the most powerful tools in both geometry and physics. Fundamental geometric problems like the Poincare ́ conjecture have been solved with PDEs, and the basic field equations of phy...
The primary goal of this conference is to bring together scientists and mathematicians working in partial differential equations and related fields. Contemporary challenges raised by recent advances i...
It is our great honour to welcome you to the International Conference on Partial Differential Equations-Silkroad Mathematics Center Series International Conferences, hosted jointly by the Chinese Math...
This paper introduces the hierarchical interpolative factorization for elliptic partial differential equations (HIF-DE) in two (2D) and three dimensions (3D). This factorization takes the form of an a...
We present an ordinary differential equations approach to the analysis of algorithms for constructing l1 minimizing solutions to underdeter mined linear systems of full rank. It involves a relaxed min...
If there is a global solution Ft(x , ω), SDE is complete, also called non-explosive, conservative.
Topics: Modeling and analysis of nonlinear partial differential equations (especially reaction-diffusion type equations) in life sciences and other scientific disciplines. Focus on mathematical analys...
We define a new grading, that we call the "level grading", on the algebra of polynomials generated by the derivatives $u_{k+i}=\partial^{k+i}u/\partial x^{k+i}$ over the ring $K^{(k)}$ of $C^{\infty}$...

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