Xinghao Dong

Xinghao Dong
University of California, Los Angeles | UCLA · Department of Mathematics

Bachelor of Science

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5
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1
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Citations since 2017
5 Research Items
1 Citation
20172018201920202021202220230.00.51.01.52.02.53.0
20172018201920202021202220230.00.51.01.52.02.53.0
20172018201920202021202220230.00.51.01.52.02.53.0
20172018201920202021202220230.00.51.01.52.02.53.0
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Introduction
Skills and Expertise
Numerical Analysis
Engineering, Applied and Computational Mathematics
Numerical Mathematics
Finite Difference
Computational Mathematics
Finite-Difference Schemes
Scientific Computing
Numerical Optimization
Differentiation
Numerical Methods

Publications

Publications (5)
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Figure 1: Mesh of the Square Domain Ω
Figure 2(a) represents the change of values of J γ (ξ, ϕ) per iteration...
Figure 2(b) is the analogous of Figure 2 for ϕ 0 2 (x, y) = sin(x(x −...
Figure 3: Change of function during the steepest descent with fixed ξ =...
+4 Figure 4: Change of function during the steepest descent on ϕ 1 (x, y)...
Some Numerical Simulations Based on Dacorogna Example Functions in Favor of Morrey Conjecture
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Full-text available
  • Nov 2022
Morrey conjecture deals with two properties of functions which are known as quasi-convexity and rank-one convexity. It is well established that every function satisfying the quasi-convexity property also satisfies rank-one convexity. Morrey (1952) conjectured that the reversed implication will not always hold. In 1992, Šverák found a counterexample...
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