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Non-separable linear canonical wave packet transform
We introduce the continuous and discrete versions of multi-dimensional linear canonical wave packet transform with the non-separable kernel. At...
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Oscillatory integral operators with homogeneous phase functions
Oscillatory integral operators with 1-homogeneous phase functions satisfying a convexity condition are considered. For these we show the L p – L p -estimat...
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A non-linear restatement of Kalecki’s business cycle model with non-constant capital depreciation
This paper deals with Kalecki’s 1935 business cycle model, where a finite time lag in the investment dynamics is assumed. The time lag is the...
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Generalization of the Carathéodory Theorem and the Maximum Principle in Averaged Problems of Non-Linear Programming
AbstractThe relationship between the averaging of functions over time and its averaging over the set of values of the required variables is...
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Reduced Basis Approach for Convection-Diffusion Equations with Non-linear Boundary Reaction Conditions
This paper aims at an efficient strategy to solve drift-diffusion problems with non-linear boundary conditions as they appear, e.g., in heterogeneous...
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Topological phase estimation method for reparameterized periodic functions
We consider a signal composed of several periods of a periodic function, of which we observe a noisy reparametrization. The phase estimation problem...
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Asymptotics for singular limits via phase functions
The asymptotic behavior of solutions as a small parameter tends to zero is determined for a variety of singular-limit PDEs. In some cases even...
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Non-linear Manifold Reduced-Order Models with Convolutional Autoencoders and Reduced Over-Collocation Method
Non-affine parametric dependencies, nonlinearities and advection-dominated regimes of the model of interest can result in a slow Kolmogorov n-width...
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A RBF-WENO Finite Difference Scheme for Non-linear Degenerate Parabolic Equations
In this research, a radial basis functions weighted essentially non-oscillatory (RBF-WENO) scheme in the framework of finite difference is developed...
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Hybridizable discontinuous Galerkin method with mixed-order spaces for non-linear diffusion equations with internal jumps
We formulate a hybridizable discontinuous Galerkin method for parabolic equations with non-linear tensor-valued coefficients and jump conditions...
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L2 Boundedness of the Fourier Integral Operator with Inhomogeneous Phase Functions
In this paper, we investigate the L 2 boundedness of the Fourier integral operator T ø,a with smooth and rough symbols and phase functions which...
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Finding non dominated points for multiobjective integer convex programs with linear constraints
In this paper, we present a branch-and-bound based algorithm to generate all non dominated points for a multiobjective integer programming problem...
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Solving Non-linear Kolmogorov Equations in Large Dimensions by Using Deep Learning: A Numerical Comparison of Discretization Schemes
Non-linear partial differential Kolmogorov equations are successfully used to describe a wide range of time dependent phenomena, in natural sciences,...
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The Non–linear and Quadratic Quantization Programs
After a short outline of the notion of canonical quantum decomposition of a classical random field and of its connection with the program of...
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Analytic calculation of two-dimensional linear viscous gravity–capillary waves on deep water generated by a moving forcing at non-critical conditions: wave patterns and spatial decay rate
Two-dimensional (2-D) steady viscous gravity–capillary wave patterns (minimum phase speed: c min ) by a moving Gaussian forcing (speed: V ) above the...
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A Lanczos-like method for non-autonomous linear ordinary differential equations
The time-ordered exponential is defined as the function that solves a system of coupled first-order linear differential equations with generally...
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Wavelet Phase Harmonics
Alex Grossmann pointed out the importance of wavelet phase alignments across scales, to characterize local signal properties. This observation has...