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7 results about "Computational mathematics" patented technology
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Computational mathematics may refer to two different aspects of the relation between computing and mathematics. Computational applied mathematics consists roughly of using mathematics for allowing and improving computer computation in applied mathematics. Computational mathematics may also refer to the use of computers for mathematics itself. This includes the use of computers for mathematical computations (computer algebra), the study of what can (and cannot) be computerized in mathematics (effective methods), which computations may be done with present technology (complexity theory), and which proofs can be done on computers (proof assistants).
Winter construction reinforced concrete electromagnetic curing method and system based on layered progressive mathematical control architecture
PendingCN121934431AProgramme control in sequence/logic controllersModel parametersGlobal optimization
The embodiment of the invention provides a winter construction reinforced concrete electromagnetic curing method and system based on a layered progressive mathematical control framework, and belongs to the technical field of crossing of intelligent construction, advanced process control and computational mathematics. The method comprises the following steps: acquiring temperature, hydration degree and environmental parameters in real time, performing space-time fusion with electromagnetic heating input, constructing a maintenance state feature vector, establishing a parameterized grey box prediction model based on a multi-physics coupling mechanism, and realizing online joint estimation of state and model parameters by combining Bayesian inference and unscented Kalman filtering. On this basis, distributed robust model predictive control is introduced, modeling is carried out on external disturbance uncertainty, an optimal heating strategy is generated, finally, execution of all heating subareas is coordinated through a distributed cooperative control algorithm, global optimization of the maintenance process is achieved, the temperature difference risk in winter construction is effectively reduced, and the maintenance efficiency is improved. The maintenance energy efficiency and the system operation stability are improved.
Owner:HEBEI UNIV OF TECH +1
Ocean multi-dimensional mixing process global analysis optimization method
The invention relates to the crossing field of marine geochemistry and computational mathematics, in particular to an optimization method for global analysis of a marine multi-dimensional mixing process, which comprises the following steps: S1, data acquisition; s2, carrying out data initialization processing; s3, calculating data; s4, analyzing a result; s5, outputting data; through collaborative design of multi-stage step length optimization and parallel computing architecture, the key problem that calculation efficiency and precision of a traditional OMPA model in a high-dimensional parameter space are difficult to consider at the same time is effectively solved. The core technology breakthrough is embodied in three aspects: firstly, a three-stage step optimization mechanism (0.05-0.01-0.001) with an adaptive characteristic is developed, and the calculation complexity is greatly reduced on the premise of ensuring a global optimal solution; secondly, a parallel computing framework based on MATLAB parFor is constructed, so that the computing efficiency of the 3-6-dimensional end member hybrid model is improved by an order of magnitude; and finally, a standardized data processing flow (z-score method) is matched with a modular architecture design, so that the expandability and applicability of the system are enhanced.
Owner:SECOND INST OF OCEANOGRAPHY MNR
Mathematical enlightenment number-sense abacus
PCT designated stageWO2026000468A1ToysElectrical appliancesStructural engineeringComputational mathematics
Owner:FAN ANAN
Device and method of computing an output value of a mathematical function, and method of designing an integrated circuit for the same
ActiveUS12536248B1CAD circuit designComplex mathematical operationsLookup tableComputational mathematics
An integrated circuit (IC) for computing an output value Y1 of a mathematical function, for a given input value X1, defined over an approximation interval I1, may include: (i) a look-up table (LUT) circuit with multiple entries, each corresponding to a segment of I1, (ii) a polynomial computation circuit configured to calculate a polynomial estimation of the function in a reference segment, and (iii) a processor. The processor may obtain a query for computing Y1 and select a segment based on X1. It may retrieve a preliminary approximation of Y1 from the LUT and calculate an offset of X1 within the selected segment. The processor may employ the polynomial computation circuit to calculate a polynomial estimation on the offset value, thereby obtaining a correction value. The processor may proceed to compute Y1 based on the preliminary approximation and the correction value.
Owner:NEXTSILICON LTD
Short-circuit calculation method for 100% converter type power supply distribution network based on double-layer iteration
ActiveCN120453970BEmergency protective arrangement detailsEmergency protective arrangements for automatic disconnectionMathematical modelSupply & distribution
The application discloses a 100% converter type power supply distribution network short-circuit calculation method based on double-layer iteration, and belongs to the technical field of relay protection, and comprises the following steps: S1, constructing a 100% converter type power supply distribution network short-circuit calculation mathematical model; S2, defining a double-layer iteration short-circuit calculation method based on outer-layer voltage approximation inner-layer spectral gradient iteration; S3, performing specific implementation of the spectral gradient inner-layer iteration algorithm according to the defined double-layer iteration short-circuit calculation method; and S4, proving global convergence of the spectral gradient inner-layer iteration algorithm. The 100% converter type power supply distribution network short-circuit calculation method based on double-layer iteration can solve the problem that the convergence of the traditional iteration algorithm is easily affected by the capacity of the converter type power supply and the fault working condition, can meet the needs of the 100% converter type power supply distribution network fault steady-state short-circuit calculation, and can accurately depict the short-circuit current level and distribution characteristics of the whole network.
Owner:TIANJIN UNIV
A method and system for solving partial differential equations based on physical information neural networks
PendingCN122132667ANeural learning methodsComplex mathematical operationsTheoretical computer sciencePartial differential equation
This invention belongs to the interdisciplinary field of artificial intelligence and computational mathematics, and relates to a method for solving partial differential equations based on a physical information neural network. The method includes: performing coordinate separation sampling on the partial differential equation to obtain a set of sampling points; training the neural network from the previous stage based on the set of sampling points to obtain an approximate solution and a preliminary neural network for the current stage; calculating the residual field and spatial gradient after substituting the predicted solution from the previous stage into the partial differential equation, and constructing a gating function based on the residual field and spatial gradient; updating the solution momentum and solution variance from the previous stage based on the approximate solution for the current stage to obtain the corrected solution momentum and solution variance for the current stage; calculating the predicted solution for the current stage based on the predicted solution from the previous stage and the gating function, solution momentum, and solution variance for the current stage; and calculating the loss function value to update the preliminary neural network for the current stage until the final predicted solution is obtained. The spatiotemporal dual-dimensional adaptive multi-stage training strategy of this invention significantly improves the solution accuracy.
Owner:CHONGQING UNIV OF POSTS & TELECOMM
Read threshold estimation system using polynomial regression based calculations
A memory system and an operating method thereof are disclosed. The memory system includes a memory device and a controller. The controller determines, for each read operation, a mathematical model by using a) a function of a set of read threshold voltage among a plurality of read threshold voltages and b) a set of checksum values, determines a polynomial regression model based on the mathematical model, determines a set of parameters using a plurality of calculations between an input matrix and an output matrix based on the polynomial regression model, and estimates a next read threshold voltage for a next read operation based on the set of parameters. The controller calculates a mathematical operation algorithm to replace a normal multiplication operation, a normal division operation, and a normal multiplication-division operation.
Owner:SK HYNIX INC