[PDF] Top 20 Partial differential equation models in macroeconomics
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Partial differential equation models in macroeconomics
... is in zero net ...used in macroeconomics, and it is the building block of many models studying the interaction between macroeconomic aggregates and the dis- tribution of income and ...wealth. ... Voir le document complet
19
Convergence of a finite difference scheme to weak solutions of the system of partial differential equation arising in mean field games
... the models), • bounds on the solutions, which are uniform in the grid step, can be proved under reasonable assumptions on the ...given in [5]. The issue of convergence was studied with more details ... Voir le document complet
25
Degenerate Parabolic Stochastic Partial Differential Equations: Quasilinear case
... intersect in finite time (even in the case of smooth data) and shocks can be ...appears in the study of PDEs and SPDEs: the usual way of weakening the equation leads to the occurrence of ... Voir le document complet
41
Advances in Feel++: a domain specific embedded language in C++ for partial differential equations
... Conclusions In this paper, we presented a versatile framework that allows to solve numerically a wide range of problems arising from PDE with an expressivity close to the ...— in terms of physical ... Voir le document complet
20
An averaging theory for nonlinear partial differential equations
... Russel in physical ...this equation is now named after ...KdV equation received a lot of attention from mathematical and phy- sical communities after the numerical results of Kruskal and Zabusky [ 45 ... Voir le document complet
107
Stochastic partial differential equations with singular terminal condition
... Abstract. In this paper, we first prove existence and uniqueness of the solution of a backward doubly stochastic differential equation (BDSDE) and of the related stochastic partial ... Voir le document complet
46
Solving Partial Differential Equations with Chaotic Asynchronous Schemes in Multi- Interaction Systems
... example in such case of dealing with some problems in the semi-classical way [25, 17] or when we study the effect on an atom or molecule of an ex- ternal electric field variable ...Eigenvalue ... Voir le document complet
13
On the Optimal Control of Some Parabolic Partial Differential Equations Arising in Economics
... should in principle vanish) but the second term remains essentially the same, that is the weighted average of all the realizations of the adjoint variable from t onwards, here from t to ...infinity. In ... Voir le document complet
27
Nonlinear damped partial differential equations and their uniform discretizations
... growth in a neighborhood of 0 (see ...]. In this paper, the analysis is based on the existence (always true) of a concave function h satisfying h(sρ(s)) > s 2 + ρ 2 (s) for all |s| 6 N (see ...(1.3) ... Voir le document complet
42
Internal observability for coupled systems of linear partial differential equations
... • In Section 3 , we give a necessary and sufficient condition for the internal observability of sys- tems of heat equations with constant coefficients and zero-order coupling ...each equation, but under the ... Voir le document complet
21
Accelerated finite elements schemes for parabolic stochastic partial differential equations
... interested in finite elements approximations for Cauchy problems for stochastic parabolic PDEs of the form of equation ...arise in various fields of sciences and engineering, for example in ... Voir le document complet
38
A delay differential equation solver for MONOLIX & MLXPLORE
... ordinary differential equations (ODEs) some- times involves a large number of variables and parameters, which makes the analysis of these models ...delay differential equations (DDEs) helps to ... Voir le document complet
23
Certified Reduced Basis Methods for Parametrized Partial Differential Equations
... Motivation Models expressed as parametrized partial differential equations are ubiquitous throughout engineer- ing and the applied sciences as models for unsteady and steady heat and mass ... Voir le document complet
121
On the system of partial differential equations arising in mean field type control
... two models, at t = 1, 2, 5 and 15 minutes. With both models, we see that the pedestrians rush towards the narrow corridors leading to the exits, at the left and right sides of the hall, and that the density ... Voir le document complet
23
Invariant discretizations of partial differential equations
... ers’ equation, the Schrödinger equation and variations on the heat equation to name only a ...few. In addition to the authors mentioned previously, Bihlo, Budd, Kim, Quispel, Rodriguez and ... Voir le document complet
158
Nonlinear regularizing effect for hyperbolic partial differential equations
... wave equation are known to propagate singularities, unlike parabolic (or elliptic) PDEs, whose solutions are more regular than the corresponding ...Besides, in the context of hyperbolic PDEs, nonlinearities ... Voir le document complet
8
Development of geostatistical models using Stochastic Partial Differential Equations
... advances in the application of the Stochastic Partial Differential Equa- tion (SPDE) approach in ...consists in interpreting a region- alised data-set as a realisation of a Random Field ... Voir le document complet
315
A partial differential equation approach to image zoom
... computed in one of the four directions, ρ(x) is equal to x 2 for |x| < T and extended linearly beyond |x| = T such that ρ is smooth and ...lies in the threshold parameter T which is used to act ... Voir le document complet
9
Partial Differential Equation and Noise
... investigated in different fields, from seismology [SCS06, LMD06, SCSR05, GSB08], to volcano monitoring [SRG06, BSC07, BSC08], to petroleum prospecting [CGS06] and medicine ...above in that we are not ... Voir le document complet
167
Factor models, VARMA processes and parameter instability with applications in macroeconomics
... the differential between short- and long-term interest rates in order to capture agents’ inflation ...solved in Kim and Roubini (2000) who used a structural VAR setup with non-recursive ... Voir le document complet
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