Himanshu Kumar Dwivedi

Employment

Employment history is unavailable.

Education

• Indian Institute of Technology BHU PhD
  2021 - Present
• Indian Institute of Technology Bhilai M.Sc. (Mathematics and Computing)
  2019 - 2021

Projects & Funding

Projects & funding information is unavailable.

Publications (15)

• A deep learning WKB-PINNs framework for forward and inverse problems of semiclassical nonlinear Schrödinger equations
  Communications in Nonlinear Science and Numerical Simulation 2026 DOI: 10.1016/j.cnsns.2026.110653
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• WKB-PINNs: Physics-informed neural networks for highly oscillatory Schrödinger–type equations
  Physica D: Nonlinear Phenomena 2026 DOI: 10.1016/j.physd.2026.135394
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• A novel time-discrete physics-informed neural network framework for forward and inverse problems of the 2D tempered fractional generalized Burgers equation
  Computers & Mathematics with Applications 2026 DOI: 10.1016/j.camwa.2026.07.003
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• Accelerated singularity-aware fractional PINNs for time-fractional phase-field equations: Forward and inverse problems
  Journal of Computational Science 2026 DOI: 10.1016/j.jocs.2026.102969
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• Structure-preserving conservative phase-amplitude PINNs for semiclassical Schrödinger-type equations
  Journal of Computational and Applied Mathematics 2026 DOI: 10.1016/j.cam.2026.117607
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• An adaptive finite difference/ADI scheme with maximum principle preservation for the 2D Allen-Cahn equation with accelerated Caputo derivative evaluation
  Computers & Mathematics with Applications 2026 DOI: 10.1016/j.camwa.2026.06.018
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• Finite difference/deep learning scheme for tempered fractional generalized Burgers’ equations with fast evaluation of Caputo derivative
  Applied Mathematics and Computation 2026 DOI: 10.1016/j.amc.2026.130032
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• An alternating direction implicit method for 2D nonlinear Schrödinger equation with accelerated evaluation of Caputo derivative
  Applied Mathematics and Computation 2026 DOI: 10.1016/j.amc.2025.129905
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• Nonuniform Tempered Alikhanov Scheme for Fractional Allen-Cahn Equations with Discrete Maximum Principle
  Journal of Scientific Computing 2026 DOI: 10.1007/s10915-026-03225-8
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• A novel accelerated tempered algorithm with nonuniform time-stepping compact ADI scheme for 2D tempered-fractional nonlinear Schrödinger equations with weak initial singularity
  Computers & Mathematics with Applications 2025 DOI: 10.1016/j.camwa.2025.07.036
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