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Computer Methods in Applied Mechanics and Engineering (1)Numerical Meth Engineering (1)Sci Rep (1)

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Divergence-free algorithms for solving nonlinear differential equations on quantum computers

Katsuhiro Endo ^* and Kazuaki Z. Takahashi ^†

National Institute of Advanced Industrial Science and Technology (AIST), Research Center for Computational Design of Advanced Functional Materials, Central 2, 1-1-1 Umezono, Tsukuba, Ibaraki 305-8568, Japan

^*Contact author: katsuhiro.endo@aist.go.jp
^†Contact author: kazu.takahashi@aist.go.jp

A variational quantum algorithm for nonlinear finite element analysis of hyperelastic materials

Uditnarayan Kouskiya and Caglar Oskay

Computer Methods in Applied Mechanics and Engineering 464 119443 (2027)

Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization

Shoya Sasaki, Katsuhiro Endo, and Mayu Muramatsu

Sci Rep 16 11743 (2026)

Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions

Sergio Bengoechea, Paul Over, and Thomas Rung

Numerical Meth Engineering 127 e70326 (2026)

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