This paper is concerned with the recovery of (approximate) solutions to parabolic problems from incomplete and possibly inconsistent observational data, given on a time-space cylinder that strict subset computational domain under consideration. Unlike previous approaches this related our starting point regularized least squares formulation in continuous infinite-dimensional setting based stable...

In his classic book On the Accuracy of Economic Observation Oskar Morgenstern deals with a common, yet widely neglected problem which economic historians are faced, namely quality data. For historian in Austrian tradition, data is utmost importance, since false or belief inaccurate can lead to faulty interpretations past.
 The at least as important for economists who adhere positivism econ...

Abstract. The use of consumer gadgets such as smartphones can be incorporated in high accuracy LiDAR mapping with a proper assessment sensors. Apple’s iPhone 13 Pro includes scanner that create projects standard point cloud exports using the help built-in gyroscope and accelerometer, generate 3D map by calculating its position movement user navigates around site. Its ability to these maps bring...

Semi-Lagranging schemes have been explored by several authors recently for transport problems in particular for moving interfaces using level set method. We incorporate the backward error compensation method developed in [2] into the semi-Lagranging schemes with almost the same simplicity and three times the complexity of a first order semi-Lagranging scheme but improve the order of accuracy. W...

We show that any conservative scheme for solving scalar conservation laws in two space dimensions, which is total variation diminishing, is at most first-order accurate.