The Department of Mathematical Sciences hosted A Workshop on Applied and Numerical Mathematics, sponsored by generous gifts from Igor Kliakhandler and the Applied Mathematics Department at University of Colorado Boulder. The workshop was held June 8 – 10, 2026 in the U.J. Noblet Forestry Building. Held to celebrate the 80th birthday of renown mathematician, Bengt Fornberg, the workshop brought together leading international experts from across the field of numerical analysis, with a central focus on high-order methods for solving partial differential equations. The workshop was structured with a strong educational emphasis, particularly aimed at graduate students and early-career researchers across STEM disciplines. The mornings were devoted to lectures on modern high-accuracy numerical techniques, while the afternoons featured research talks covering a broad range of topics, including, but not limited to, recent advances in the discretization of differential and integral operators, as well as methods based on rational functions, radial basis functions (RBFs), and finite difference approaches.