High order geometric methods with exact conservation properties. - René R. Hiemstra; Deepesh Toshniwal; R. H. M. Huijsmans; Marc I. Gerritsma (J. Comput. Phys., 2014)

Polynomial splines of non-uniform degree on triangulations: Combinatorial bounds on the dimension. - Deepesh Toshniwal; Thomas J. R. Hughes (Comput. Aided Geom. Des., 2019)

Multi-degree B-splines: Algorithmic computation and properties. - Deepesh Toshniwal; Hendrik Speleers; René R. Hiemstra; Carla Manni; Thomas J. R. Hughes (Comput. Aided Geom. Des., 2020)

Dimension of polynomial splines of mixed smoothness on T-meshes. - Deepesh Toshniwal; Nelly Villamizar (Comput. Aided Geom. Des., 2020)

Counting the dimension of splines of mixed smoothness: A general recipe, and its application to meshes of arbitrary topologies. - Deepesh Toshniwal; Michael DiPasquale (CoRR, 2020)

A Tchebycheffian extension of multi-degree B-splines: Algorithmic computation and properties. - René R. Hiemstra; Thomas J. R. Hughes; Carla Manni; Hendrik Speleers; Deepesh Toshniwal (CoRR, 2020)

A general class of C1 smooth rational splines: Application to construction of exact ellipses and ellipsoids. - Hendrik Speleers; Deepesh Toshniwal (CoRR, 2020)

A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties. - René R. Hiemstra; Thomas J. R. Hughes; Carla Manni; Hendrik Speleers; Deepesh Toshniwal (SIAM J. Numer. Anal., 2020)

Counting the dimension of splines of mixed smoothness. - Deepesh Toshniwal; Michael DiPasquale (Adv. Comput. Math., 2021)

Polynomial spline spaces of non-uniform bi-degree on T-meshes: combinatorial bounds on the dimension. - Deepesh Toshniwal; Bernard Mourrain; Thomas J. R. Hughes (Adv. Comput. Math., 2021)

A General Class of C1 Smooth Rational Splines: Application to Construction of Exact Ellipses and Ellipsoids. - Hendrik Speleers; Deepesh Toshniwal (Comput. Aided Des., 2021)

An optimally convergent smooth blended B-spline construction for unstructured quadrilateral and hexahedral meshes. - Kim Jie Koh; Deepesh Toshniwal; Fehmi Cirak (CoRR, 2021)

The divergence-conforming immersed boundary method: Application to vesicle and capsule dynamics. - Hugo Casquero; Carles Bona-Casas; Deepesh Toshniwal; Thomas J. R. Hughes; Héctor Gómez; Yongjie Jessica Zhang (J. Comput. Phys., 2021)

Almost-C1 splines: Biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems. - Thomas Takacs; Deepesh Toshniwal (CoRR, 2022)

Locally-verifiable sufficient conditions for exactness of the hierarchical B-spline discrete de Rham complex in Rn. - Kendrick M. Shepherd; Deepesh Toshniwal (CoRR, 2022)

Algebraic methods to study the dimension of supersmooth spline spaces. - Deepesh Toshniwal; Nelly Villamizar (Adv. Appl. Math., 2023)

A characterization of linear independence of THB-splines in Rn and application to Bézier projection. - Kevin Dijkstra; Deepesh Toshniwal (CoRR, 2023)

Decoupled structure-preserving discretization of incompressible MHD equations with general boundary conditions. - Yi Zhang 060; Artur Palha; Andrea Brugnoli; Deepesh Toshniwal; Marc Gerritsma (CoRR, 2024)

Construction of exact refinements for the two-dimensional HB/THB-spline de Rham complex. - Diogo C. Cabanas; Kendrick M. Shepherd; Deepesh Toshniwal; Rafael Vázquez (CoRR, 2025)