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06/08/2023
A modified model for topic detection from a corpus and a new metric evaluating the understandability of topics
This paper presents a modified neural model for topic detection from a c...
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06/07/2023
Modelling the discretization error of initial value problems using the Wishart distribution
This paper presents a new discretization error quantification method for...
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05/19/2023
A new family of fourth-order energy-preserving integrators
For Hamiltonian systems with non-canonical structure matrices, a new fam...
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08/01/2022
Structure-preserving numerical methods for constrained gradient flows of planar closed curves with explicit tangential velocities
In this paper, we consider numerical approximation of constrained gradie...
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03/02/2022
High-order linearly implicit schemes conserving quadratic invariants
In this paper, we propose linearly implicit and arbitrary high-order con...
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01/29/2022
Composing a surrogate observation operator for sequential data assimilation
In data assimilation, state estimation is not straightforward when the o...
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12/10/2021
Adaptive projected SOR algorithms for nonnegative quadratic programming
The optimal value of the projected successive overrelaxation (PSOR) meth...
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08/30/2021
Generalized nearly isotonic regression
The problem of estimating a piecewise monotone sequence of normal means ...
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02/19/2021
Symplectic Adjoint Method for Exact Gradient of Neural ODE with Minimal Memory
A neural network model of a differential equation, namely neural ODE, ha...
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12/03/2020
Computing the matrix fractional power based on the double exponential formula
Two quadrature-based algorithms for computing the matrix fractional powe...
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03/22/2020
Generalization of partitioned Runge–Kutta methods for adjoint systems
This study computes the gradient of a function of numerical solutions of...
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03/09/2020
A Parallelizable Energy-Preserving Integrator MB4 and Its Application to Quantum-Mechanical Wavepacket Dynamics
In simulating physical systems, conservation of the total energy is ofte...
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12/02/2019
A fully discrete curve-shortening polygonal evolution law for moving boundary problems
We consider the numerical integration of moving boundary problems with t...
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10/15/2019
Modified Strang splitting for semilinear parabolic problems
We consider applying the Strang splitting to semilinear parabolic proble...
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10/15/2019
Adjoint-based exact Hessian-vector multiplication using symplectic Runge–Kutta methods
We consider a function of the numerical solution of an initial value pro...
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07/24/2019
